1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
|
<?xml version="1.0" encoding="UTF-8"?>
<helpdocument version="1.0">
<!--
***********************************************************************
*
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* Copyright 2000, 2010 Oracle and/or its affiliates.
*
* OpenOffice.org - a multi-platform office productivity suite
*
* This file is part of OpenOffice.org.
*
* OpenOffice.org is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License version 3
* only, as published by the Free Software Foundation.
*
* OpenOffice.org is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Lesser General Public License version 3 for more details
* (a copy is included in the LICENSE file that accompanied this code).
*
* You should have received a copy of the GNU Lesser General Public License
* version 3 along with OpenOffice.org. If not, see
* <http://www.openoffice.org/license.html>
* for a copy of the LGPLv3 License.
*
************************************************************************
-->
<meta>
<topic id="textscalc0104060106xml" indexer="include">
<title xml-lang="en-US" id="tit">Mathematical Functions</title>
<filename>/text/scalc/01/04060106.xhp</filename>
</topic>
</meta>
<body>
<bookmark xml-lang="en-US" branch="index" id="bm_id3147124"><bookmark_value>mathematical functions</bookmark_value>
<bookmark_value>Function Wizard; mathematical</bookmark_value>
<bookmark_value>functions; mathematical functions</bookmark_value>
<bookmark_value>trigonometric functions</bookmark_value>
</bookmark>
<paragraph xml-lang="en-US" id="hd_id3147124" role="heading" level="1" l10n="U" oldref="1">Mathematical Functions</paragraph>
<paragraph xml-lang="en-US" id="par_id3154943" role="paragraph" l10n="CHG" oldref="2"><variable id="mathematiktext">This category contains the <emph>Mathematical</emph> functions for Calc.
</variable> To open the <emph>Function Wizard</emph>, choose <link href="text/scalc/01/04060000.xhp" name="Insert - Function"><emph>Insert - Function</emph></link>.</paragraph>
<sort>
<section id="Section1">
<bookmark xml-lang="en-US" branch="index" id="bm_id3146944"><bookmark_value>ABS function</bookmark_value>
<bookmark_value>absolute values</bookmark_value>
<bookmark_value>values;absolute</bookmark_value>
</bookmark><comment>mw added two entries</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ABS" id="bm_id3150695" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3146944" role="heading" level="2" l10n="U"
oldref="33">ABS</paragraph>
<paragraph xml-lang="en-US" id="par_id3154546" role="paragraph" l10n="U" oldref="34"><ahelp hid="HID_FUNC_ABS">Returns the absolute value of a number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3154843" role="heading" level="3" l10n="U"
oldref="35">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3147475" role="code" l10n="U" oldref="36">ABS(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3148438" role="paragraph" l10n="CHG" oldref="37"><emph>Number</emph> is the number whose absolute value is to be calculated. The absolute value of a number is its value without the +/- sign.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3155823" role="heading" level="3" l10n="U"
oldref="38">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3152787" role="paragraph" l10n="CHG" oldref="39">
<item type="input">=ABS(-56)</item> returns 56.</paragraph>
<paragraph xml-lang="en-US" id="par_id3148752" role="paragraph" l10n="CHG" oldref="40">
<item type="input">=ABS(12)</item> returns 12.</paragraph>
<paragraph xml-lang="en-US" id="par_id320139" role="paragraph" l10n="NEW">
<item type="input">=ABS(0)</item> returns 0.<comment>see also SIGN</comment></paragraph>
</section>
<section id="Section62">
<bookmark xml-lang="en-US" branch="index" id="bm_id3150896"><bookmark_value>COUNTBLANK function</bookmark_value>
<bookmark_value>counting;empty cells</bookmark_value>
<bookmark_value>empty cells;counting</bookmark_value>
</bookmark><comment>mw added two entries</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ANZAHLLEEREZELLEN" id="bm_id3149730" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3150896" role="heading" level="2" l10n="U"
oldref="42">COUNTBLANK</paragraph>
<paragraph xml-lang="en-US" id="par_id3155260" role="paragraph" l10n="CHG" oldref="43"><ahelp hid="HID_FUNC_ANZAHLLEEREZELLEN">Returns the number of empty cells.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3145144" role="heading" level="3" l10n="U"
oldref="44">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3153931" role="code" l10n="U" oldref="45">COUNTBLANK(Range)</paragraph>
<paragraph xml-lang="en-US" id="par_id3149512" role="paragraph" l10n="CHG" oldref="46"> Returns the number of empty cells in the cell range <emph>Range</emph>.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3146139" role="heading" level="3" l10n="U"
oldref="47">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3148586" role="paragraph" l10n="CHG" oldref="48">
<item type="input">=COUNTBLANK(A1:B2)</item> returns 4 if cells A1, A2, B1, and B2 are all empty.</paragraph><comment>see also COUNTIF</comment>
</section>
<section id="Section61">
<bookmark xml-lang="en-US" branch="index" id="bm_id3153114"><bookmark_value>ACOS function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ARCCOS" id="bm_id3155952" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3153114" role="heading" level="2" l10n="U"
oldref="50">ACOS</paragraph>
<paragraph xml-lang="en-US" id="par_id3145163" role="paragraph" l10n="CHG" oldref="51"><ahelp hid="HID_FUNC_ARCCOS">Returns the inverse trigonometric cosine of a number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3153565" role="heading" level="3" l10n="U"
oldref="52">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3150020" role="code" l10n="U" oldref="53">ACOS(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3159134" role="paragraph" l10n="CHG" oldref="54"> This function returns the inverse trigonometric cosine of <emph>Number</emph>, that is the angle (in radians) whose cosine is Number. The angle returned is between 0 and PI.</paragraph>
<paragraph xml-lang="en-US" id="par_id679647" role="paragraph" l10n="NEW">To return the angle in degrees, use the DEGREES function.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3149882" role="heading" level="3" l10n="U"
oldref="55">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3150128" role="paragraph" l10n="CHG" oldref="56">
<item type="input">=ACOS(-1)</item> returns 3.14159265358979 (PI radians)</paragraph>
<paragraph xml-lang="en-US" id="par_id8792382" role="paragraph" l10n="NEW">
<item type="input">=DEGREES(ACOS(0.5))</item> returns 60. The cosine of 60 degrees is 0.5.</paragraph><comment>see also COS, SIN, TAN, COT, ASIN, ATAN, ATAN2, ACOT </comment>
</section>
<section id="Section60">
<bookmark xml-lang="en-US" branch="index" id="bm_id3145355"><bookmark_value>ACOSH function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ARCOSHYP" id="bm_id3148386" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3145355" role="heading" level="2" l10n="U"
oldref="60">ACOSH</paragraph>
<paragraph xml-lang="en-US" id="par_id3157993" role="paragraph" l10n="U" oldref="61"><ahelp hid="HID_FUNC_ARCOSHYP">Returns the inverse hyperbolic cosine of a number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3145295" role="heading" level="3" l10n="U"
oldref="62">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3151017" role="code" l10n="U" oldref="63">ACOSH(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3149000" role="paragraph" l10n="CHG" oldref="64"> This function returns the inverse hyperbolic cosine of <emph>Number</emph>, that is the number whose hyperbolic cosine is Number. </paragraph>
<paragraph xml-lang="en-US" id="par_id6393932" role="paragraph" l10n="NEW"> Number must be greater than or equal to 1.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3150566" role="heading" level="3" l10n="U"
oldref="65">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3145629" role="paragraph" l10n="CHG" oldref="66">
<item type="input">=ACOSH(1)</item> returns 0.</paragraph>
<paragraph xml-lang="en-US" id="par_id951567" role="paragraph" l10n="NEW">
<item type="input">=ACOSH(COSH(4))</item> returns 4.</paragraph><comment>see also ASINH, ATANH, ACOTH, COSH, SINH, TANH, COTH</comment>
</section>
<section id="Section59">
<bookmark xml-lang="en-US" branch="index" id="bm_id3149027"><bookmark_value>ACOT function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ARCCOT" id="bm_id3154634" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3149027" role="heading" level="2" l10n="U"
oldref="70">ACOT</paragraph>
<paragraph xml-lang="en-US" id="par_id3155818" role="paragraph" l10n="CHG" oldref="71"><ahelp hid="HID_FUNC_ARCCOT">Returns the inverse cotangent (the arccotangent) of the given number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3153225" role="heading" level="3" l10n="U"
oldref="72">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3158419" role="code" l10n="U" oldref="73">ACOT(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3154948" role="paragraph" l10n="CHG" oldref="74"> This function returns the inverse trigonometric cotangent of <emph>Number</emph>, that is the angle (in radians) whose cotangent is Number. The angle returned is between 0 and PI.</paragraph>
<paragraph xml-lang="en-US" id="par_id5834528" role="paragraph" l10n="NEW">To return the angle in degrees, use the DEGREES function.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3147538" role="heading" level="3" l10n="U"
oldref="75">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3155375" role="paragraph" l10n="CHG" oldref="76">
<item type="input">=ACOT(1)</item> returns 0.785398163397448 (PI/4 radians).</paragraph>
<paragraph xml-lang="en-US" id="par_id8589434" role="paragraph" l10n="NEW">
<item type="input">=DEGREES(ACOT(1))</item> returns 45. The tangent of 45 degrees is 1. </paragraph><comment>see also COS, SIN, TAN, COT, ACOS, ASIN, ATAN, ATAN2 </comment>
</section>
<section id="Section58">
<bookmark xml-lang="en-US" branch="index" id="bm_id3148426"><bookmark_value>ACOTH function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ARCOTHYP" id="bm_id3149777" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3148426" role="heading" level="2" l10n="U"
oldref="80">ACOTH</paragraph>
<paragraph xml-lang="en-US" id="par_id3147478" role="paragraph" l10n="U" oldref="81"><ahelp hid="HID_FUNC_ARCOTHYP">Returns the inverse hyperbolic cotangent of the given number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3152585" role="heading" level="3" l10n="U"
oldref="82">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3147172" role="code" l10n="U" oldref="83">ACOTH(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3146155" role="paragraph" l10n="CHG" oldref="84"> This function returns the inverse hyperbolic cotangent of <emph>Number</emph>, that is the number whose hyperbolic cotangent is Number.</paragraph>
<paragraph xml-lang="en-US" id="par_id5818659" role="paragraph" l10n="NEW">An error results if Number is between -1 and 1 inclusive.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3083452" role="heading" level="3" l10n="U"
oldref="85">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3150608" role="paragraph" l10n="CHG" oldref="86">
<item type="input">=ACOTH(1.1)</item> returns inverse hyperbolic cotangent of 1.1, approximately 1.52226.</paragraph><comment>see also ACOSH, ASINH, ATANH, COSH, SINH, TANH, COTH</comment>
</section>
<section id="Section57">
<bookmark xml-lang="en-US" branch="index" id="bm_id3145084"><bookmark_value>ASIN function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ARCSIN" id="bm_id3149280" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3145084" role="heading" level="2" l10n="U"
oldref="90">ASIN</paragraph>
<paragraph xml-lang="en-US" id="par_id3156296" role="paragraph" l10n="CHG" oldref="91"><ahelp hid="HID_FUNC_ARCSIN">Returns the inverse trigonometric sine of a number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3149716" role="heading" level="3" l10n="U"
oldref="92">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3156305" role="code" l10n="U" oldref="93">ASIN(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3150964" role="paragraph" l10n="CHG" oldref="94"> This function returns the inverse trigonometric sine of <emph>Number</emph>, that is the angle (in radians) whose sine is Number. The angle returned is between -PI/2 and +PI/2.</paragraph>
<paragraph xml-lang="en-US" id="par_id203863" role="paragraph" l10n="NEW">To return the angle in degrees, use the DEGREES function.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3149448" role="heading" level="3" l10n="U"
oldref="95">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3156100" role="paragraph" l10n="CHG" oldref="96">
<item type="input">=ASIN(0)</item> returns 0.</paragraph>
<paragraph xml-lang="en-US" id="par_id6853846" role="paragraph" l10n="NEW">
<item type="input">=ASIN(1)</item> returns 1.5707963267949 (PI/2 radians). </paragraph>
<paragraph xml-lang="en-US" id="par_id8772240" role="paragraph" l10n="NEW">
<item type="input">=DEGREES(ASIN(0.5))</item> returns 30. The sine of 30 degrees is 0.5.</paragraph><comment>see also COS, SIN, TAN, COT, ACOS, ATAN, ATAN2, ACOT </comment>
</section>
<section id="Section56">
<bookmark xml-lang="en-US" branch="index" id="bm_id3151266"><bookmark_value>ASINH function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ARSINHYP" id="bm_id3145206" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3151266" role="heading" level="2" l10n="U"
oldref="100">ASINH</paragraph>
<paragraph xml-lang="en-US" id="par_id3147077" role="paragraph" l10n="U" oldref="101"><ahelp hid="HID_FUNC_ARSINHYP">Returns the inverse hyperbolic sine of a number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3150763" role="heading" level="3" l10n="U"
oldref="102">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3150882" role="code" l10n="U" oldref="103">ASINH(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3147621" role="paragraph" l10n="CHG" oldref="104"> This function returns the inverse hyperbolic sine of <emph>Number</emph>, that is the number whose hyperbolic sine is Number. </paragraph>
<paragraph xml-lang="en-US" id="hd_id3153212" role="heading" level="3" l10n="U"
oldref="105">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3156120" role="paragraph" l10n="CHG" oldref="106">
<item type="input">=ASINH(-90)</item> returns approximately -5.1929877.</paragraph>
<paragraph xml-lang="en-US" id="par_id4808496" role="paragraph" l10n="NEW">
<item type="input">=ASINH(SINH(4))</item> returns 4.</paragraph><comment>see also ACOSH, ATANH, ACOTH,
COSH, SINH, TANH, COTH</comment>
</section>
<section id="Section55">
<bookmark xml-lang="en-US" branch="index" id="bm_id3155996"><bookmark_value>ATAN function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ARCTAN" id="bm_id3154743" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3155996" role="heading" level="2" l10n="U"
oldref="110">ATAN</paragraph>
<paragraph xml-lang="en-US" id="par_id3149985" role="paragraph" l10n="CHG" oldref="111"><ahelp hid="HID_FUNC_ARCTAN">Returns the inverse trigonometric tangent of a number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3151294" role="heading" level="3" l10n="U"
oldref="112">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3150261" role="code" l10n="U" oldref="113">ATAN(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3147267" role="paragraph" l10n="CHG" oldref="114"> This function returns the inverse trigonometric tangent of <emph>Number</emph>, that is the angle (in radians) whose tangent is Number. The angle returned is between -PI/2 and PI/2.</paragraph>
<paragraph xml-lang="en-US" id="par_id6293527" role="paragraph" l10n="NEW">To return the angle in degrees, use the DEGREES function.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3154054" role="heading" level="3" l10n="U"
oldref="115">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3143229" role="paragraph" l10n="CHG" oldref="116">
<item type="input">=ATAN(1)</item> returns 0.785398163397448 (PI/4 radians).</paragraph>
<paragraph xml-lang="en-US" id="par_id8746299" role="paragraph" l10n="NEW">
<item type="input">=DEGREES(ATAN(1))</item> returns 45. The tangent of 45 degrees is 1.</paragraph><comment>see also COS, SIN, TAN, COT,
ACOS, ASIN, ATAN2, ACOT </comment>
</section>
<section id="Section54">
<bookmark xml-lang="en-US" branch="index" id="bm_id3153983"><bookmark_value>ATAN2 function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ARCTAN2" id="bm_id3159180" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3153983" role="heading" level="2" l10n="U"
oldref="120">ATAN2</paragraph>
<paragraph xml-lang="en-US" id="par_id3154297" role="paragraph" l10n="CHG" oldref="121"><ahelp hid="HID_FUNC_ARCTAN2">Returns the inverse trigonometric tangent of the specified x and y coordinates.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3149758" role="heading" level="3" l10n="U"
oldref="122">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3156013" role="code" l10n="CHG" oldref="123">ATAN2(NumberX; NumberY)</paragraph>
<paragraph xml-lang="en-US" id="par_id3151168" role="paragraph" l10n="CHG" oldref="124"><emph>NumberX</emph> is the value of the x coordinate.</paragraph>
<paragraph xml-lang="en-US" id="par_id3152798" role="paragraph" l10n="CHG" oldref="125"><emph>NumberY</emph> is the value of the y coordinate.</paragraph>
<paragraph xml-lang="en-US" id="par_id5036164" role="paragraph" l10n="NEW">ATAN2 returns the inverse trigonometric tangent, that is, the angle (in radians) between the x-axis and a line from point NumberX, NumberY to the origin. The angle returned is between -PI and PI.</paragraph>
<paragraph xml-lang="en-US" id="par_id3001800" role="paragraph" l10n="NEW">To return the angle in degrees, use the DEGREES function.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3145663" role="heading" level="3" l10n="U"
oldref="126">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3154692" role="paragraph" l10n="CHG" oldref="127">
<item type="input">=ATAN2(20;20)</item> returns 0.785398163397448 (PI/4 radians).</paragraph>
<paragraph xml-lang="en-US" id="par_id1477095" role="paragraph" l10n="NEW">
<item type="input">=DEGREES(ATAN2(12.3;12.3))</item> returns 45. The tangent of 45 degrees is 1.</paragraph><comment>see also COS, SIN, TAN, COT,
ACOS, ASIN, ATAN, ACOT </comment>
</section>
<section id="Section53">
<bookmark xml-lang="en-US" branch="index" id="bm_id3155398"><bookmark_value>ATANH function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ARTANHYP" id="bm_id3154939" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3155398" role="heading" level="2" l10n="U"
oldref="130">ATANH</paragraph>
<paragraph xml-lang="en-US" id="par_id3148829" role="paragraph" l10n="U" oldref="131"><ahelp hid="HID_FUNC_ARTANHYP">Returns the inverse hyperbolic tangent of a number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3146997" role="heading" level="3" l10n="U"
oldref="132">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3149912" role="code" l10n="U" oldref="133">ATANH(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3150521" role="paragraph" l10n="CHG" oldref="134"> This function returns the inverse hyperbolic tangent of <emph>Number</emph>, that is the number whose hyperbolic tangent is Number. </paragraph>
<paragraph xml-lang="en-US" id="par_id9357280" role="paragraph" l10n="NEW"> Number must obey the condition -1 < number < 1.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3148450" role="heading" level="3" l10n="U"
oldref="135">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3145419" role="paragraph" l10n="CHG" oldref="136">
<item type="input">=ATANH(0)</item> returns 0.</paragraph><comment>see also ACOSH, ASINH, ACOTH,
COSH, SINH, TANH, COTH</comment>
</section>
<section id="Section52">
<bookmark xml-lang="en-US" branch="index" id="bm_id3153062"><bookmark_value>COS function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_COS" id="bm_id3158408" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3153062" role="heading" level="2" l10n="U"
oldref="149">COS</paragraph>
<paragraph xml-lang="en-US" id="par_id3148803" role="paragraph" l10n="CHG" oldref="150"><ahelp hid="HID_FUNC_COS">Returns the cosine of the given angle (in radians).</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3150779" role="heading" level="3" l10n="U"
oldref="151">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3154213" role="code" l10n="U" oldref="152">COS(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3154285" role="paragraph" l10n="CHG" oldref="153"> Returns the (trigonometric) cosine of <emph>Number</emph>, the angle in radians.</paragraph>
<paragraph xml-lang="en-US" id="par_id831019" role="paragraph" l10n="NEW">To return the cosine of an angle in degrees, use the RADIANS function.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3153579" role="heading" level="3" l10n="U"
oldref="154">Examples</paragraph>
<paragraph xml-lang="en-US" id="par_id3147240" role="paragraph" l10n="U" oldref="155">
<item type="input">=COS(PI()/2)</item> returns 0, the cosine of PI/2 radians.</paragraph>
<paragraph xml-lang="en-US" id="par_id3147516" role="paragraph" l10n="U" oldref="156">
<item type="input">=COS(RADIANS(60))</item> returns 0.5, the cosine of 60 degrees.</paragraph><comment>see also SIN, TAN, COT,
ACOS, ASIN, ATAN, ATAN2, ACOT </comment>
</section>
<section id="Section51">
<bookmark xml-lang="en-US" branch="index" id="bm_id3154277"><bookmark_value>COSH function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_COSHYP" id="bm_id3149158" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3154277" role="heading" level="2" l10n="U"
oldref="159">COSH</paragraph>
<paragraph xml-lang="en-US" id="par_id3146946" role="paragraph" l10n="U" oldref="160"><ahelp hid="HID_FUNC_COSHYP">Returns the hyperbolic cosine of a number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3149792" role="heading" level="3" l10n="U"
oldref="161">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3166440" role="code" l10n="U" oldref="162">COSH(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3150710" role="paragraph" l10n="CHG" oldref="163">Returns the hyperbolic cosine of <emph>Number</emph>.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3153234" role="heading" level="3" l10n="U"
oldref="164">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3154099" role="paragraph" l10n="CHG" oldref="165">
<item type="input">=COSH(0)</item> returns 1, the hyperbolic cosine of 0.</paragraph><comment>see also SINH, TANH, COTH,
ACOSH, ASINH, ATANH, ACOTH, </comment>
</section>
<section id="Section50">
<bookmark xml-lang="en-US" branch="index" id="bm_id3152888"><bookmark_value>COT function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_COT" id="bm_id3153392" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3152888" role="heading" level="2" l10n="U"
oldref="169">COT</paragraph>
<paragraph xml-lang="en-US" id="par_id3153679" role="paragraph" l10n="CHG" oldref="170"><ahelp hid="HID_FUNC_COT">Returns the cotangent of the given angle (in radians).</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3152943" role="heading" level="3" l10n="U"
oldref="171">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3154856" role="code" l10n="U" oldref="172">COT(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3149969" role="paragraph" l10n="CHG" oldref="173"> Returns the (trigonometric) cotangent of <emph>Number</emph>, the angle in radians.</paragraph>
<paragraph xml-lang="en-US" id="par_id3444624" role="paragraph" l10n="NEW">To return the cotangent of an angle in degrees, use the RADIANS function.</paragraph>
<paragraph xml-lang="en-US" id="par_id6814477" role="paragraph" l10n="NEW">The cotangent of an angle is equivalent to 1 divided by the tangent of that angle.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3149800" role="heading" level="3" l10n="U"
oldref="174">Examples:</paragraph>
<paragraph xml-lang="en-US" id="par_id3148616" role="paragraph" l10n="CHG" oldref="175">
<item type="input">=COT(PI()/4)</item> returns 1, the cotangent of PI/4 radians.</paragraph>
<paragraph xml-lang="en-US" id="par_id3148986" role="paragraph" l10n="CHG" oldref="176">
<item type="input">=COT(RADIANS(45))</item> returns 1, the cotangent of 45 degrees.</paragraph><comment>see also COS, SIN, TAN,
ACOS, ASIN, ATAN, ATAN2, ACOT </comment>
</section>
<section id="Section49">
<bookmark xml-lang="en-US" branch="index" id="bm_id3154337"><bookmark_value>COTH function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_COTHYP" id="bm_id3148650" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3154337" role="heading" level="2" l10n="U"
oldref="178">COTH</paragraph>
<paragraph xml-lang="en-US" id="par_id3149419" role="paragraph" l10n="U" oldref="179"><ahelp hid="HID_FUNC_COTHYP">Returns the hyperbolic cotangent of a given number (angle).</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3149242" role="heading" level="3" l10n="U"
oldref="180">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3143280" role="code" l10n="U" oldref="181">COTH(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3154799" role="paragraph" l10n="CHG" oldref="182"> Returns the hyperbolic cotangent of <emph>Number</emph>.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3155422" role="heading" level="3" l10n="U"
oldref="183">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3144754" role="paragraph" l10n="CHG" oldref="184">
<item type="input">=COTH(1)</item> returns the hyperbolic cotangent of 1, approximately 1.3130.</paragraph><comment>see also COSH, SINH, TANH,
ACOSH, ASINH, ATANH, ACOTH, </comment>
</section>
<section id="Section48">
<bookmark xml-lang="en-US" branch="index" id="bm_id3145314"><bookmark_value>DEGREES function</bookmark_value>
<bookmark_value>converting;radians, into degrees</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_DEG" id="bm_id3153946" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3145314" role="heading" level="2" l10n="U"
oldref="188">DEGREES</paragraph>
<paragraph xml-lang="en-US" id="par_id3149939" role="paragraph" l10n="U" oldref="189"><ahelp hid="HID_FUNC_DEG">Converts radians into degrees.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3150623" role="heading" level="3" l10n="U"
oldref="190">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3145600" role="code" l10n="CHG" oldref="191">DEGREES(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3149484" role="paragraph" l10n="CHG" oldref="192"><emph>Number</emph> is the angle in radians to be converted to degrees.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3669545" role="heading" level="3" l10n="NEW">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3459578" role="paragraph" l10n="NEW">
<item type="input">=DEGREES(PI())</item> returns 180 degrees.</paragraph><comment>see also RADIANS</comment>
</section>
<section id="Section47">
<bookmark xml-lang="en-US" branch="index" id="bm_id3148698"><bookmark_value>EXP function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_EXP" id="bm_id3154625" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3148698" role="heading" level="2" l10n="U"
oldref="198">EXP</paragraph>
<paragraph xml-lang="en-US" id="par_id3150592" role="paragraph" l10n="CHG" oldref="199"><ahelp hid="HID_FUNC_EXP">Returns e raised to the power of a number.</ahelp> The constant e has a value of approximately 2.71828182845904.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3150351" role="heading" level="3" l10n="U"
oldref="200">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3146786" role="code" l10n="U" oldref="201">EXP(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3155608" role="paragraph" l10n="U" oldref="202"><emph>Number</emph> is the power to which e is to be raised.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3154418" role="heading" level="3" l10n="U"
oldref="203">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3156340" role="paragraph" l10n="CHG" oldref="204">
<item type="input">=EXP(1)</item> returns 2.71828182845904, the mathematical constant e to Calc's accuracy.</paragraph><comment>see also POWER, LN, </comment>
</section>
<section id="Section46">
<bookmark xml-lang="en-US" branch="index" id="bm_id3145781"><bookmark_value>FACT function</bookmark_value>
<bookmark_value>factorials;numbers</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_FAKULTAET" id="bm_id3153886" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3145781" role="heading" level="2" l10n="U"
oldref="208">FACT</paragraph>
<paragraph xml-lang="en-US" id="par_id3151109" role="paragraph" l10n="CHG" oldref="209"><ahelp hid="HID_FUNC_FAKULTAET">Returns the factorial of a number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3146902" role="heading" level="3" l10n="U"
oldref="210">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3154661" role="code" l10n="U" oldref="211">FACT(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3152952" role="paragraph" l10n="CHG" oldref="212"> Returns Number!, the factorial of <emph>Number</emph>, calculated as 1*2*3*4* ... * Number.</paragraph>
<paragraph xml-lang="en-US" id="par_id3834650" role="paragraph" l10n="NEW">=FACT(0) returns 1 by definition. </paragraph>
<paragraph xml-lang="en-US" id="par_id8429517" role="paragraph" l10n="NEW">The factorial of a negative number returns the "invalid argument" error.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3154569" role="heading" level="3" l10n="U"
oldref="213">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3154476" role="paragraph" l10n="CHG" oldref="216">
<item type="input">=FACT(3)</item> returns 6.</paragraph>
<paragraph xml-lang="en-US" id="par_id3147525" role="paragraph" l10n="CHG" oldref="214">
<item type="input">=FACT(0)</item> returns 1.</paragraph><comment>see also FACTDOUBLE, MULTINOMIAL, PRODUCT </comment>
</section>
<section id="Section45">
<bookmark xml-lang="en-US" branch="index" id="bm_id3159084"><bookmark_value>INT function</bookmark_value>
<bookmark_value>numbers;rounding down to next integer</bookmark_value>
<bookmark_value>rounding;down to next integer</bookmark_value>
</bookmark><comment>mw added two entries</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_GANZZAHL" id="bm_id3151311" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3159084" role="heading" level="2" l10n="U"
oldref="218">INT</paragraph>
<paragraph xml-lang="en-US" id="par_id3158441" role="paragraph" l10n="U" oldref="219"><ahelp hid="HID_FUNC_GANZZAHL">Rounds a number down to the nearest integer.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3146132" role="heading" level="3" l10n="U"
oldref="220">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3156146" role="code" l10n="U" oldref="221">INT(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3154117" role="paragraph" l10n="CHG" oldref="222">Returns <emph>Number</emph> rounded down to the nearest integer.</paragraph>
<paragraph xml-lang="en-US" id="par_id153508" role="paragraph" l10n="NEW">Negative numbers round down to the integer below.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3155118" role="heading" level="3" l10n="U"
oldref="223">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3156267" role="paragraph" l10n="CHG" oldref="224">
<item type="input">=INT(5.7)</item> returns 5.</paragraph>
<paragraph xml-lang="en-US" id="par_id3147323" role="paragraph" l10n="CHG" oldref="225">
<item type="input">=INT(-1.3)</item> returns -2.</paragraph><comment>see also TRUNC, ROUND, ROUNDDOWN, ROUNDUP,
CEILING, FLOOR, EVEN, ODD, MROUND, </comment>
</section>
<section id="Section44">
<bookmark xml-lang="en-US" branch="index" id="bm_id3150938"><bookmark_value>EVEN function</bookmark_value>
<bookmark_value>numbers;rounding up/down to even integers</bookmark_value>
<bookmark_value>rounding;up/down to even integers</bookmark_value>
</bookmark><comment>mw added two entries</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_GERADE" id="bm_id3150949" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3150938" role="heading" level="2" l10n="U"
oldref="227">EVEN</paragraph>
<paragraph xml-lang="en-US" id="par_id3149988" role="paragraph" l10n="CHG" oldref="228"><ahelp hid="HID_FUNC_GERADE">Rounds a positive number up to the next even integer and a negative number down to the next even integer.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3148401" role="heading" level="3" l10n="U"
oldref="229">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3150830" role="code" l10n="U" oldref="230">EVEN(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3153350" role="paragraph" l10n="CHG" oldref="231"> Returns <emph>Number</emph> rounded to the next even integer up, away from zero. </paragraph>
<paragraph xml-lang="en-US" id="hd_id3155508" role="heading" level="3" l10n="U"
oldref="232">Examples</paragraph>
<paragraph xml-lang="en-US" id="par_id3154361" role="paragraph" l10n="CHG" oldref="233">
<item type="input">=EVEN(2.3)</item> returns 4.</paragraph>
<paragraph xml-lang="en-US" id="par_id8477736" role="paragraph" l10n="NEW">
<item type="input">=EVEN(2)</item> returns 2.</paragraph>
<paragraph xml-lang="en-US" id="par_id159611" role="paragraph" l10n="NEW">
<item type="input">=EVEN(0)</item> returns 0.</paragraph>
<paragraph xml-lang="en-US" id="par_id6097598" role="paragraph" l10n="NEW">
<item type="input">=EVEN(-0.5)</item> returns -2.</paragraph><comment>see also CEILING, FLOOR, ODD, MROUND,
INT, TRUNC, ROUND, ROUNDDOWN, ROUNDUP</comment>
</section>
<section id="Section43">
<bookmark xml-lang="en-US" branch="index" id="bm_id3147356"><bookmark_value>GCD function</bookmark_value>
<bookmark_value>greatest common divisor</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_GGT" id="bm_id3149737" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3147356" role="heading" level="2" l10n="U"
oldref="237">GCD</paragraph>
<paragraph xml-lang="en-US" id="par_id3152465" role="paragraph" l10n="U" oldref="238"><ahelp hid="HID_FUNC_GGT">Returns the greatest common divisor of two or more integers.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="par_id2769249" role="paragraph" l10n="NEW">The greatest common divisor is the positive largest integer which will divide, without remainder, each of the given integers.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3150643" role="heading" level="3" l10n="U"
oldref="239">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3154524" role="code" l10n="U" oldref="240">GCD(Integer1; Integer2; ...; Integer30)</paragraph>
<paragraph xml-lang="en-US" id="par_id3149340" role="paragraph" l10n="U" oldref="241"><emph>Integer1 To 30</emph> are up to 30 integers whose greatest common divisor is to be calculated.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3147317" role="heading" level="3" l10n="U"
oldref="242">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3151285" role="paragraph" l10n="CHG" oldref="243">
<item type="input">=GCD(16;32;24) </item>gives the result 8, because 8 is the largest number that can divide 16, 24 and 32 without a remainder.</paragraph>
<paragraph xml-lang="en-US" id="par_id1604663" role="paragraph" l10n="NEW">
<item type="input">=GCD(B1:B3)</item> where cells B1, B2, B3 contain <item type="input">9</item>, <item type="input">12</item>, <item type="input">9</item> gives 3.</paragraph>
</section>
<section id="Section42">
<bookmark xml-lang="en-US" branch="index" id="bm_id3151221"><bookmark_value>GCD_ADD function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_AAI_FUNC_GCD" id="bm_id3147578" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3151221" role="heading" level="2" l10n="E"
oldref="677">GCD_ADD</paragraph>
<paragraph xml-lang="en-US" id="par_id3153257" role="paragraph" l10n="U" oldref="678"><ahelp hid="HID_AAI_FUNC_GCD"> The result is the greatest common divisor of a list of numbers.</ahelp></paragraph>
<embed href="text/scalc/01/04060102.xhp#ADD_note"/>
<paragraph xml-lang="en-US" id="hd_id3147548" role="heading" level="3" l10n="U"
oldref="679">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3156205" role="code" l10n="U" oldref="680">GCD_ADD(Number(s))</paragraph>
<paragraph xml-lang="en-US" id="par_id3145150" role="paragraph" l10n="U" oldref="681"><emph>Number(s)</emph> is a list of up to 30 numbers.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3150239" role="heading" level="3" l10n="U"
oldref="682">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3159192" role="paragraph" l10n="U" oldref="683">
<item type="input">=GCD_ADD(5;15;25)</item> returns 5.</paragraph>
</section>
<section id="Section41">
<bookmark xml-lang="en-US" branch="index" id="bm_id3156048"><bookmark_value>ISEVEN function</bookmark_value>
<bookmark_value>even integers</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ISTGERADE" id="bm_id3149430" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3156048" role="heading" level="2" l10n="U"
oldref="245">ISEVEN<comment>link from Information cat</comment></paragraph>
<paragraph xml-lang="en-US" id="par_id3149169" role="paragraph" l10n="U" oldref="246"><ahelp hid="HID_FUNC_ISTGERADE">Returns TRUE if the value is an even integer, or FALSE if the value is odd.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3146928" role="heading" level="3" l10n="U"
oldref="247">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3151203" role="code" l10n="U" oldref="248">ISEVEN(Value)</paragraph>
<paragraph xml-lang="en-US" id="par_id3150491" role="paragraph" l10n="U" oldref="249"><emph>Value</emph> is the value to be checked.</paragraph>
<paragraph xml-lang="en-US" id="par_id3445844" role="paragraph" l10n="NEW">If Value is not an integer any digits after the decimal point are ignored. The sign of Value is also ignored.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3154136" role="heading" level="3" l10n="U"
oldref="250">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3163813" role="paragraph" l10n="CHG" oldref="251">
<item type="input">=ISEVEN(48)</item> returns TRUE</paragraph>
<paragraph xml-lang="en-US" id="par_id8378856" role="paragraph" l10n="NEW">
<item type="input">=ISEVEN(33)</item> returns FALSE</paragraph>
<paragraph xml-lang="en-US" id="par_id7154759" role="paragraph" l10n="NEW">
<item type="input">=ISEVEN(0)</item> returns TRUE</paragraph>
<paragraph xml-lang="en-US" id="par_id1912289" role="paragraph" l10n="NEW">
<item type="input">=ISEVEN(-2.1)</item> returns TRUE</paragraph>
<paragraph xml-lang="en-US" id="par_id5627307" role="paragraph" l10n="NEW">
<item type="input">=ISEVEN(3.999)</item> returns FALSE</paragraph><comment>see also ISODD </comment>
</section>
<section id="Section40">
<bookmark xml-lang="en-US" branch="index" id="bm_id3156034"><bookmark_value>ISODD function</bookmark_value>
<bookmark_value>odd integers</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ISTUNGERADE" id="bm_id3149298" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3156034" role="heading" level="2" l10n="U"
oldref="255">ISODD<comment>link from Information cat</comment></paragraph>
<paragraph xml-lang="en-US" id="par_id3155910" role="paragraph" l10n="U" oldref="256"><ahelp hid="HID_FUNC_ISTUNGERADE">Returns TRUE if the value is odd, or FALSE if the number is even.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3151006" role="heading" level="3" l10n="U"
oldref="257">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3151375" role="code" l10n="U" oldref="258">ISODD(value)</paragraph>
<paragraph xml-lang="en-US" id="par_id3155139" role="paragraph" l10n="U" oldref="259"><emph>Value</emph> is the value to be checked.</paragraph>
<paragraph xml-lang="en-US" id="par_id9027680" role="paragraph" l10n="NEW">If Value is not an integer any digits after the decimal point are ignored. The sign of Value is also ignored.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3163723" role="heading" level="3" l10n="U"
oldref="260">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3155345" role="paragraph" l10n="CHG" oldref="261">
<item type="input">=ISODD(33)</item> returns TRUE</paragraph>
<paragraph xml-lang="en-US" id="par_id9392986" role="paragraph" l10n="NEW">
<item type="input">=ISODD(48)</item> returns FALSE</paragraph>
<paragraph xml-lang="en-US" id="par_id5971251" role="paragraph" l10n="NEW">
<item type="input">=ISODD(3.999)</item> returns TRUE</paragraph>
<paragraph xml-lang="en-US" id="par_id4136478" role="paragraph" l10n="NEW">
<item type="input">=ISODD(-3.1)</item> returns TRUE</paragraph><comment>see also ISEVEN</comment>
</section>
<section id="Section39">
<bookmark xml-lang="en-US" branch="index" id="bm_id3145213"><bookmark_value>LCM function</bookmark_value>
<bookmark_value>least common multiples</bookmark_value>
<bookmark_value>lowest common multiples</bookmark_value>
</bookmark><comment>mw added two entries</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_KGV" id="bm_id3145225" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3145213" role="heading" level="2" l10n="U"
oldref="265">LCM</paragraph>
<paragraph xml-lang="en-US" id="par_id3146814" role="paragraph" l10n="U" oldref="266"><ahelp hid="HID_FUNC_KGV">Returns the least common multiple of one or more integers.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3148632" role="heading" level="3" l10n="U"
oldref="267">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3147279" role="code" l10n="U" oldref="268">LCM(Integer1; Integer2; ...; Integer30)</paragraph>
<paragraph xml-lang="en-US" id="par_id3156348" role="paragraph" l10n="U" oldref="269"><emph>Integer1 to 30</emph> are up to 30 integers whose lowest common multiple is to be calculated.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3156431" role="heading" level="3" l10n="U"
oldref="270">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3154914" role="paragraph" l10n="U" oldref="271">If you enter the numbers <item type="input">512</item>;<item type="input">1024</item> and <item type="input">2000</item> in the Integer 1;2 and 3 text boxes, 128000 will be returned as the result.</paragraph>
</section>
<section id="Section38">
<bookmark xml-lang="en-US" branch="index" id="bm_id3154230"><bookmark_value>LCM_ADD function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_AAI_FUNC_LCM" id="bm_id3147222" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3154230" role="heading" level="2" l10n="U"
oldref="684">LCM_ADD</paragraph>
<paragraph xml-lang="en-US" id="par_id3149036" role="paragraph" l10n="U" oldref="685"><ahelp hid="HID_AAI_FUNC_LCM"> The result is the lowest common multiple of a list of numbers.</ahelp></paragraph>
<embed href="text/scalc/01/04060102.xhp#ADD_note"/>
<paragraph xml-lang="en-US" id="hd_id3153132" role="heading" level="3" l10n="U"
oldref="686">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3154395" role="code" l10n="U" oldref="687">LCM_ADD(Number(s))</paragraph>
<paragraph xml-lang="en-US" id="par_id3147377" role="paragraph" l10n="U" oldref="688"><emph>Number(s)</emph> is a list of up to 30 numbers.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3145122" role="heading" level="3" l10n="U"
oldref="689">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3145135" role="paragraph" l10n="U" oldref="690">
<item type="input">=LCM_ADD(5;15;25)</item> returns 75.</paragraph>
</section>
<section id="Section37">
<bookmark xml-lang="en-US" branch="index" id="bm_id3155802"><bookmark_value>COMBIN function</bookmark_value>
<bookmark_value>number of combinations</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_KOMBINATIONEN" id="bm_id3155077" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3155802" role="heading" level="2" l10n="U"
oldref="273">COMBIN<comment>should be statistical-->add a link there</comment></paragraph>
<paragraph xml-lang="en-US" id="par_id3156172" role="paragraph" l10n="CHG" oldref="274"><ahelp hid="HID_FUNC_KOMBINATIONEN">Returns the number of combinations for elements without repetition.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3156193" role="heading" level="3" l10n="U"
oldref="275">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3150223" role="code" l10n="CHG" oldref="276">COMBIN(Count1; Count2)</paragraph>
<paragraph xml-lang="en-US" id="par_id3150313" role="paragraph" l10n="CHG" oldref="277"><emph>Count1</emph> is the number of items in the set.</paragraph>
<paragraph xml-lang="en-US" id="par_id3153830" role="paragraph" l10n="CHG" oldref="278"><emph>Count2</emph> is the number of items to choose from the set.</paragraph>
<paragraph xml-lang="en-US" id="par_id6807458" role="paragraph" l10n="CHG">COMBIN returns the number of ordered ways to choose these items. For example if there are 3 items A, B and C in a set, you can choose 2 items in 3 different ways, namely AB, AC and BC.</paragraph>
<paragraph xml-lang="en-US" id="par_id7414471" role="paragraph" l10n="NEW">COMBIN implements the formula: Count1!/(Count2!*(Count1-Count2)!)</paragraph>
<paragraph xml-lang="en-US" id="hd_id3153171" role="heading" level="3" l10n="U"
oldref="279">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3153517" role="paragraph" l10n="CHG" oldref="280">
<item type="input">=COMBIN(3;2)</item> returns 3.</paragraph><comment>see also COMBINA </comment>
</section>
<section id="Section36">
<bookmark xml-lang="en-US" branch="index" id="bm_id3150284"><bookmark_value>COMBINA function</bookmark_value>
<bookmark_value>number of combinations with repetitions</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_KOMBINATIONEN2" id="bm_id3150295" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3150284" role="heading" level="2" l10n="U"
oldref="282">COMBINA<comment>should be statistical-->add a link there</comment></paragraph>
<paragraph xml-lang="en-US" id="par_id3157894" role="paragraph" l10n="CHG" oldref="283"><ahelp hid="HID_FUNC_KOMBINATIONEN2">Returns the number of combinations of a subset of items including repetitions.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3145752" role="heading" level="3" l10n="U"
oldref="284">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3145765" role="code" l10n="CHG" oldref="285">COMBINA(Count1; Count2)</paragraph>
<paragraph xml-lang="en-US" id="par_id3153372" role="paragraph" l10n="CHG" oldref="286"><emph>Count1</emph> is the number of items in the set.</paragraph>
<paragraph xml-lang="en-US" id="par_id3155544" role="paragraph" l10n="CHG" oldref="287"><emph>Count2</emph> is the number of items to choose from the set.</paragraph>
<paragraph xml-lang="en-US" id="par_id1997131" role="paragraph" l10n="CHG">COMBINA returns the number of unique ways to choose these items, where the order of choosing is irrelevant, and repetition of items is allowed. For example if there are 3 items A, B and C in a set, you can choose 2 items in 6 different ways, namely AA, AB, AC, BB, BC and CC.</paragraph>
<paragraph xml-lang="en-US" id="par_id2052064" role="paragraph" l10n="CHG">COMBINA implements the formula: (Count1+Count2-1)! / (Count2!(Count1-1)!)<comment>i88052</comment></paragraph>
<paragraph xml-lang="en-US" id="hd_id3154584" role="heading" level="3" l10n="U"
oldref="288">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3152904" role="paragraph" l10n="CHG" oldref="289">
<item type="input">=COMBINA(3;2)</item> returns 6.</paragraph><comment>see also COMBIN</comment>
</section>
<section id="Section35">
<bookmark xml-lang="en-US" branch="index" id="bm_id3156086"><bookmark_value>TRUNC function</bookmark_value>
<bookmark_value>decimal places;cutting off</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_KUERZEN" id="bm_id3157849" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3156086" role="heading" level="2" l10n="U"
oldref="291">TRUNC</paragraph>
<paragraph xml-lang="en-US" id="par_id3157866" role="paragraph" l10n="CHG" oldref="292"><ahelp hid="HID_FUNC_KUERZEN">Truncates a number by removing decimal places.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3148499" role="heading" level="3" l10n="U"
oldref="293">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3148511" role="code" l10n="U" oldref="294">TRUNC(Number; Count)</paragraph>
<paragraph xml-lang="en-US" id="par_id3150796" role="paragraph" l10n="CHG" oldref="295">Returns <emph>Number</emph> with at most <emph>Count</emph> decimal places. Excess decimal places are simply removed, irrespective of sign.</paragraph>
<paragraph xml-lang="en-US" id="par_id3150816" role="paragraph" l10n="CHG" oldref="296">
<item type="literal">TRUNC(Number; 0)</item> behaves as <item type="literal">INT(Number)</item> for positive numbers, but effectively rounds towards zero for negative numbers.</paragraph>
<paragraph xml-lang="en-US" id="par_id3148548" role="warning" l10n="CHG" oldref="557">The <emph>visible</emph> decimal places of the result are specified in <switchinline select="sys"><caseinline select="MAC">%PRODUCTNAME - Preferences</caseinline><defaultinline>Tools - Options</defaultinline></switchinline> - <link href="text/shared/optionen/01060500.xhp">%PRODUCTNAME Calc - Calculate</link>.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3152555" role="heading" level="3" l10n="U"
oldref="297">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3152569" role="paragraph" l10n="CHG" oldref="298">
<item type="input">=TRUNC(1.239;2)</item> returns 1.23. The 9 is lost.</paragraph>
<paragraph xml-lang="en-US" id="par_id7050080" role="paragraph" l10n="NEW">
<item type="input">=TRUNC(-1.234999;3)</item> returns -1.234. All the 9s are lost.</paragraph><comment>see also INT, ROUND, ROUNDDOWN, ROUNDUP,
CEILING, FLOOR, EVEN, ODD, MROUND</comment>
</section>
<section id="Section34">
<bookmark xml-lang="en-US" branch="index" id="bm_id3153601"><bookmark_value>LN function</bookmark_value>
<bookmark_value>natural logarithm</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_LN" id="bm_id3153613" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3153601" role="heading" level="2" l10n="U"
oldref="301">LN</paragraph>
<paragraph xml-lang="en-US" id="par_id3154974" role="paragraph" l10n="CHG" oldref="302"><ahelp hid="HID_FUNC_LN">Returns the natural logarithm based on the constant e of a number.</ahelp> The constant e has a value of approximately 2.71828182845904.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3154993" role="heading" level="3" l10n="U"
oldref="303">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3155284" role="code" l10n="U" oldref="304">LN(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3155297" role="paragraph" l10n="U" oldref="305"><emph>Number</emph> is the value whose natural logarithm is to be calculated.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3153852" role="heading" level="3" l10n="U"
oldref="306">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3153866" role="paragraph" l10n="CHG" oldref="307">
<item type="input">=LN(3)</item> returns the natural logarithm of 3 (approximately 1.0986).</paragraph>
<paragraph xml-lang="en-US" id="par_id5747245" role="paragraph" l10n="NEW">
<item type="input">=LN(EXP(321))</item> returns 321.</paragraph><comment>see also LOG, LOG10, EXP, </comment>
</section>
<section id="Section33">
<bookmark xml-lang="en-US" branch="index" id="bm_id3109813"><bookmark_value>LOG function</bookmark_value>
<bookmark_value>logarithms</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_LOG" id="bm_id3109824" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3109813" role="heading" level="2" l10n="U"
oldref="311">LOG</paragraph>
<paragraph xml-lang="en-US" id="par_id3109841" role="paragraph" l10n="U" oldref="312"><ahelp hid="HID_FUNC_LOG">Returns the logarithm of a number to the specified base.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3144719" role="heading" level="3" l10n="U"
oldref="313">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3144732" role="code" l10n="U" oldref="314">LOG(Number; Base)</paragraph>
<paragraph xml-lang="en-US" id="par_id3144746" role="paragraph" l10n="U" oldref="315"><emph>Number</emph> is the value whose logarithm is to be calculated.</paragraph>
<paragraph xml-lang="en-US" id="par_id3152840" role="paragraph" l10n="CHG" oldref="316"><emph>Base</emph> (optional) is the base for the logarithm calculation. If omitted, Base 10 is assumed.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3152860" role="heading" level="3" l10n="U"
oldref="317">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3154429" role="paragraph" l10n="CHG" oldref="318">
<item type="input">=LOG(10;3)</item> returns the logarithm to base 3 of 10 (approximately 2.0959).</paragraph>
<paragraph xml-lang="en-US" id="par_id5577562" role="paragraph" l10n="NEW">
<item type="input">=LOG(7^4;7)</item> returns 4.</paragraph><comment>see also LOG10, LN, POWER, </comment>
</section>
<section id="Section32">
<bookmark xml-lang="en-US" branch="index" id="bm_id3154187"><bookmark_value>LOG10 function</bookmark_value>
<bookmark_value>base-10 logarithm</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_LOG10" id="bm_id3155460" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3154187" role="heading" level="2" l10n="U"
oldref="322">LOG10</paragraph>
<paragraph xml-lang="en-US" id="par_id3155476" role="paragraph" l10n="U" oldref="323"><ahelp hid="HID_FUNC_LOG10">Returns the base-10 logarithm of a number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3155494" role="heading" level="3" l10n="U"
oldref="324">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3159294" role="code" l10n="U" oldref="325">LOG10(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3159308" role="paragraph" l10n="CHG" oldref="326">Returns the logarithm to base 10 of <emph>Number</emph>.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3159328" role="heading" level="3" l10n="U"
oldref="327">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3157916" role="paragraph" l10n="CHG" oldref="328">
<item type="input">=LOG10(5)</item> returns the base-10 logarithm of 5 (approximately 0.69897).</paragraph><comment>see also LOG, LN, POWER </comment>
</section>
<section id="Section31">
<bookmark xml-lang="en-US" branch="index" id="bm_id3152518"><bookmark_value>CEILING function</bookmark_value>
<bookmark_value>rounding;up to multiples of significance</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_OBERGRENZE" id="bm_id3152530" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3152518" role="heading" level="2" l10n="U"
oldref="332">CEILING</paragraph>
<paragraph xml-lang="en-US" id="par_id3153422" role="paragraph" l10n="CHG" oldref="558"><ahelp hid="HID_FUNC_OBERGRENZE">Rounds a number up to the nearest multiple of Significance.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3153440" role="heading" level="3" l10n="U"
oldref="334">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3153454" role="code" l10n="CHG" oldref="335">CEILING(Number; Significance; Mode)</paragraph>
<paragraph xml-lang="en-US" id="par_id3153467" role="paragraph" l10n="U" oldref="336"><emph>Number</emph> is the number that is to be rounded up.</paragraph>
<paragraph xml-lang="en-US" id="par_id3155000" role="paragraph" l10n="CHG" oldref="337"><emph>Significance</emph> is the number to whose multiple the value is to be rounded up.</paragraph>
<paragraph xml-lang="en-US" id="par_id3155020" role="paragraph" l10n="CHG" oldref="559"><emph>Mode</emph> is an optional value. If the Mode value is given and not equal to zero, and if Number and Significance are negative, then rounding is done based on the absolute value of Number. This parameter is ignored when exporting to MS Excel as Excel does not know any third parameter.</paragraph>
<paragraph xml-lang="en-US" id="par_id3163792" role="warning" l10n="CHG" oldref="629">If both parameters Number and Significance are negative and the Mode value is equal to zero or is not given, the results in $[officename] and Excel will differ after the import has been completed. If you export the spreadsheet to Excel, use Mode=1 to see the same results in Excel as in Calc.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3145697" role="heading" level="3" l10n="U"
oldref="338">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3145710" role="paragraph" l10n="CHG" oldref="339">
<item type="input">=CEILING(-11;-2)</item> returns -10</paragraph>
<paragraph xml-lang="en-US" id="par_id3145725" role="paragraph" l10n="CHG" oldref="340">
<item type="input">=CEILING(-11;-2;0)</item> returns -10</paragraph>
<paragraph xml-lang="en-US" id="par_id3145740" role="paragraph" l10n="CHG" oldref="341">
<item type="input">=CEILING(-11;-2;1)</item> returns -12</paragraph><comment>see also FLOOR, EVEN, ODD, MROUND,
INT, TRUNC, ROUND, ROUNDDOWN, ROUNDUP</comment>
</section>
<section id="Section30">
<bookmark xml-lang="en-US" branch="index" id="bm_id3157762"><bookmark_value>PI function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_PI" id="bm_id3157774" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3157762" role="heading" level="2" l10n="U"
oldref="343">PI</paragraph>
<paragraph xml-lang="en-US" id="par_id3157790" role="paragraph" l10n="CHG" oldref="344"><ahelp hid="HID_FUNC_PI">Returns 3.14159265358979, the value of the mathematical constant PI to 14 decimal places.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3157809" role="heading" level="3" l10n="U"
oldref="345">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3157822" role="code" l10n="U" oldref="346">PI()</paragraph>
<paragraph xml-lang="en-US" id="hd_id3157836" role="heading" level="3" l10n="U"
oldref="347">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3152370" role="paragraph" l10n="CHG" oldref="348">
<item type="input">=PI()</item> returns 3.14159265358979.</paragraph>
</section>
<section id="Section29">
<bookmark xml-lang="en-US" branch="index" id="bm_id3152418"><bookmark_value>MULTINOMIAL function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_AAI_FUNC_MULTINOMIAL" id="bm_id3152429" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3152418" role="heading" level="2" l10n="U"
oldref="635">MULTINOMIAL</paragraph>
<paragraph xml-lang="en-US" id="par_id3152454" role="paragraph" l10n="U" oldref="636"><ahelp hid="HID_AAI_FUNC_MULTINOMIAL"> Returns the factorial of the sum of the arguments divided by the product of the factorials of the arguments.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3155646" role="heading" level="3" l10n="U"
oldref="637">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3155660" role="code" l10n="U" oldref="638">MULTINOMIAL(Number(s))</paragraph>
<paragraph xml-lang="en-US" id="par_id3155673" role="paragraph" l10n="U" oldref="639"><emph>Number(s)</emph> is a list of up to 30 numbers.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3155687" role="heading" level="3" l10n="U"
oldref="640">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3155701" role="paragraph" l10n="U" oldref="641">
<item type="input">=MULTINOMIAL(F11:H11)</item> returns 1260, if F11 to H11 contain the values <item type="input">2</item>, <item type="input">3</item> and <item type="input">4</item>. This corresponds to the formula =(2+3+4)! / (2!*3!*4!)</paragraph>
</section>
<section id="Section28">
<bookmark xml-lang="en-US" branch="index" id="bm_id3155717"><bookmark_value>POWER function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_POTENZ" id="bm_id3155728" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3155717" role="heading" level="2" l10n="U"
oldref="350">POWER</paragraph>
<paragraph xml-lang="en-US" id="par_id3159495" role="paragraph" l10n="CHG" oldref="351"><ahelp hid="HID_FUNC_POTENZ">Returns a number raised to another number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3159513" role="heading" level="3" l10n="U"
oldref="352">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3159526" role="code" l10n="U" oldref="353">POWER(Base; Exponent)</paragraph>
<paragraph xml-lang="en-US" id="par_id3159540" role="paragraph" l10n="CHG" oldref="354">Returns <emph>Base</emph> raised to the power of <emph>Exponent</emph>.</paragraph>
<paragraph xml-lang="en-US" id="par_id5081637" role="paragraph" l10n="NEW">The same result may be achieved by using the exponentiation operator ^:</paragraph>
<paragraph xml-lang="en-US" id="par_id9759514" role="code" l10n="NEW">
<item type="literal">Base^Exponent</item>
</paragraph>
<paragraph xml-lang="en-US" id="hd_id3159580" role="heading" level="3" l10n="U"
oldref="356">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3159594" role="paragraph" l10n="CHG" oldref="357">
<item type="input">=POWER(4;3)</item> returns 64, which is 4 to the power of 3.</paragraph>
<paragraph xml-lang="en-US" id="par_id1614429" role="paragraph" l10n="NEW">=4^3 also returns 4 to the power of 3.</paragraph><comment>see also EXP, LOG, SQRT</comment>
</section>
<section id="Section27">
<bookmark xml-lang="en-US" branch="index" id="bm_id3152651"><bookmark_value>SERIESSUM function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_AAI_FUNC_SERIESSUM" id="bm_id3152662" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3152651" role="heading" level="2" l10n="U"
oldref="642">SERIESSUM</paragraph>
<paragraph xml-lang="en-US" id="par_id3152688" role="paragraph" l10n="CHG" oldref="643"><ahelp hid=".">Sums the first terms of a power series.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="par_id3152708" role="paragraph" l10n="U" oldref="644">SERIESSUM(x;n;m;coefficients) = coefficient_1*x^n + coefficient_2*x^(n+m) + coefficient_3*x^(n+2m) +...+ coefficient_i*x^(n+(i-1)m)</paragraph>
<paragraph xml-lang="en-US" id="hd_id3152724" role="heading" level="3" l10n="U"
oldref="645">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_idN11BD9" role="code" l10n="NEW">SERIESSUM(X; N; M; Coefficients)</paragraph>
<paragraph xml-lang="en-US" id="par_id3152737" role="paragraph" l10n="CHG" oldref="646"><emph>X</emph> is the input value for the power series.</paragraph>
<paragraph xml-lang="en-US" id="par_id3144344" role="paragraph" l10n="CHG" oldref="647"><emph>N</emph> is the initial power</paragraph>
<paragraph xml-lang="en-US" id="par_id3144357" role="paragraph" l10n="CHG" oldref="648"><emph>M</emph> is the increment to increase N</paragraph>
<paragraph xml-lang="en-US" id="par_id3144370" role="paragraph" l10n="U" oldref="649"><emph>Coefficients</emph> is a series of coefficients. For each coefficient the series sum is extended by one section.</paragraph>
</section>
<section id="Section26">
<bookmark xml-lang="en-US" branch="index" id="bm_id3144386"><bookmark_value>PRODUCT function</bookmark_value>
<bookmark_value>numbers;multiplying</bookmark_value>
<bookmark_value>multiplying;numbers</bookmark_value>
</bookmark><comment>mw added two entries</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_PRODUKT" id="bm_id3144397" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3144386" role="heading" level="2" l10n="U"
oldref="361">PRODUCT</paragraph>
<paragraph xml-lang="en-US" id="par_id3144414" role="paragraph" l10n="U" oldref="362"><ahelp hid="HID_FUNC_PRODUKT">Multiplies all the numbers given as arguments and returns the product.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3144433" role="heading" level="3" l10n="U"
oldref="363">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3144446" role="code" l10n="U" oldref="364">PRODUCT(Number1; Number2; ...; Number30)</paragraph>
<paragraph xml-lang="en-US" id="par_id3144460" role="paragraph" l10n="U" oldref="365"><emph>Number1 to 30</emph> are up to 30 arguments whose product is to be calculated.</paragraph>
<paragraph xml-lang="en-US" id="par_id1589098" role="paragraph" l10n="NEW">PRODUCT returns number1 * number2 * number3 * ...</paragraph>
<paragraph xml-lang="en-US" id="hd_id3144480" role="heading" level="3" l10n="U"
oldref="366">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3144494" role="paragraph" l10n="CHG" oldref="367">
<item type="input">=PRODUCT(2;3;4)</item> returns 24.</paragraph><comment>see also FACT, SUM</comment>
</section>
<section id="Section25">
<bookmark xml-lang="en-US" branch="index" id="bm_id3160340"><bookmark_value>SUMSQ function</bookmark_value>
<bookmark_value>square number additions</bookmark_value>
<bookmark_value>sums;of square numbers</bookmark_value>
</bookmark><comment>mw added two entries</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_QUADRATESUMME" id="bm_id3160351" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3160340" role="heading" level="2" l10n="U"
oldref="369">SUMSQ</paragraph>
<paragraph xml-lang="en-US" id="par_id3160368" role="paragraph" l10n="U" oldref="370"><ahelp hid="HID_FUNC_QUADRATESUMME">If you want to calculate the sum of the squares of numbers (totaling up of the squares of the arguments), enter these into the text fields.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3160388" role="heading" level="3" l10n="U"
oldref="371">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3160402" role="code" l10n="U" oldref="372">SUMSQ(Number1; Number2; ...; Number30)</paragraph>
<paragraph xml-lang="en-US" id="par_id3160415" role="paragraph" l10n="U" oldref="373"><emph>Number1 to 30</emph> are up to 30 arguments the sum of whose squares is to be calculated.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3160436" role="heading" level="3" l10n="U"
oldref="374">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3160449" role="paragraph" l10n="U" oldref="375">If you enter the numbers <item type="input">2</item>; <item type="input">3</item> and <item type="input">4</item> in the Number 1; 2 and 3 text boxes, 29 is returned as the result.</paragraph>
</section>
<section id="Section24">
<bookmark xml-lang="en-US" branch="index" id="bm_id3158247"><bookmark_value>MOD function</bookmark_value>
<bookmark_value>remainders of divisions</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_REST" id="bm_id3158259" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3158247" role="heading" level="2" l10n="U"
oldref="387">MOD</paragraph>
<paragraph xml-lang="en-US" id="par_id3158276" role="paragraph" l10n="CHG" oldref="388"><ahelp hid="HID_FUNC_REST">Returns the remainder when one integer is divided by another.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3158294" role="heading" level="3" l10n="U"
oldref="389">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3158308" role="code" l10n="U" oldref="390">MOD(Dividend; Divisor)</paragraph>
<paragraph xml-lang="en-US" id="par_id3158321" role="paragraph" l10n="CHG" oldref="391"> For integer arguments this function returns Dividend modulo Divisor, that is the remainder when <emph>Dividend</emph> is divided by <emph>Divisor</emph>.</paragraph>
<paragraph xml-lang="en-US" id="par_id3158341" role="paragraph" l10n="CHG" oldref="392">This function is implemented as <item type="literal">Dividend - Divisor * INT(Dividend/Divisor)</item> , and this formula gives the result if the arguments are not integer.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3158361" role="heading" level="3" l10n="U"
oldref="393">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3158374" role="paragraph" l10n="CHG" oldref="394">
<item type="input">=MOD(22;3)</item> returns 1, the remainder when 22 is divided by 3.</paragraph>
<paragraph xml-lang="en-US" id="par_id1278420" role="paragraph" l10n="NEW">
<item type="input">=MOD(11.25;2.5)</item> returns 1.25.</paragraph><comment>see also QUOTIENT, INT, </comment>
</section>
<section id="Section23">
<bookmark xml-lang="en-US" branch="index" id="bm_id3144592"><bookmark_value>QUOTIENT function</bookmark_value>
<bookmark_value>divisions</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_AAI_FUNC_QUOTIENT" id="bm_id3144603" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3144592" role="heading" level="2" l10n="E"
oldref="652">QUOTIENT</paragraph>
<paragraph xml-lang="en-US" id="par_id3144627" role="paragraph" l10n="CHG" oldref="653"><ahelp hid="HID_AAI_FUNC_QUOTIENT">Returns the integer part of a division operation.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3144646" role="heading" level="3" l10n="U"
oldref="654">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3144659" role="code" l10n="U" oldref="655">QUOTIENT(Numerator; Denominator)</paragraph>
<paragraph xml-lang="en-US" id="par_id9038972" role="paragraph" l10n="NEW">Returns the integer part of <emph>Numerator</emph> divided by <emph>Denominator</emph>.</paragraph>
<paragraph xml-lang="en-US" id="par_id7985168" role="paragraph" l10n="NEW">QUOTIENT is equivalent to <item type="literal">INT(numerator/denominator)</item>, except that it may report errors with different error codes.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3144674" role="heading" level="3" l10n="U"
oldref="656">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3144687" role="paragraph" l10n="CHG" oldref="657">
<item type="input">=QUOTIENT(11;3)</item> returns 3. The remainder of 2 is lost.</paragraph><comment>see also MOD, INT </comment>
</section>
<section id="Section22">
<bookmark xml-lang="en-US" branch="index" id="bm_id3144702"><bookmark_value>RADIANS function</bookmark_value>
<bookmark_value>converting;degrees, into radians</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_RAD" id="bm_id3158008" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3144702" role="heading" level="2" l10n="U"
oldref="377">RADIANS</paragraph>
<paragraph xml-lang="en-US" id="par_id3158025" role="paragraph" l10n="U" oldref="378"><ahelp hid="HID_FUNC_RAD">Converts degrees to radians.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3158042" role="heading" level="3" l10n="U"
oldref="379">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3158055" role="code" l10n="U" oldref="380">RADIANS(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3158069" role="paragraph" l10n="CHG" oldref="381"><emph>Number</emph> is the angle in degrees to be converted to radians.</paragraph>
<paragraph xml-lang="en-US" id="hd_id876186" role="heading" level="3" l10n="NEW">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3939634" role="paragraph" l10n="NEW">
<item type="input">=RADIANS(90)</item> returns 1.5707963267949, which is PI/2 to Calc's accuracy.</paragraph><comment>see also DEGREES </comment>
</section>
<section id="Section21">
<bookmark xml-lang="en-US" branch="index" id="bm_id3158121"><bookmark_value>ROUND function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_RUNDEN" id="bm_id3158133" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3158121" role="heading" level="2" l10n="U"
oldref="398">ROUND</paragraph>
<paragraph xml-lang="en-US" id="par_id3158150" role="paragraph" l10n="CHG" oldref="399"><ahelp hid="HID_FUNC_RUNDEN">Rounds a number to a certain number of decimal places.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3158169" role="heading" level="3" l10n="U"
oldref="400">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3158182" role="code" l10n="U" oldref="401">ROUND(Number; Count)</paragraph>
<paragraph xml-lang="en-US" id="par_id3158196" role="paragraph" l10n="U" oldref="402">Returns <emph>Number</emph> rounded to <emph>Count</emph> decimal places. If Count is omitted or zero, the function rounds to the nearest integer. If Count is negative, the function rounds to the nearest 10, 100, 1000, etc.</paragraph>
<paragraph xml-lang="en-US" id="par_id599688" role="paragraph" l10n="NEW">This function rounds to the nearest number. See ROUNDDOWN and ROUNDUP for alternatives.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3145863" role="heading" level="3" l10n="U"
oldref="404">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3145876" role="paragraph" l10n="CHG" oldref="405">
<item type="input">=ROUND(2.348;2)</item> returns 2.35</paragraph>
<paragraph xml-lang="en-US" id="par_id3145899" role="paragraph" l10n="CHG" oldref="406">
<item type="input">=ROUND(-32.4834;3)</item> returns -32.483. Change the cell format to see all decimals.</paragraph>
<paragraph xml-lang="en-US" id="par_id1371501" role="paragraph" l10n="NEW">
<item type="input">=ROUND(2.348;0)</item> returns 2.</paragraph>
<paragraph xml-lang="en-US" id="par_id4661702" role="paragraph" l10n="NEW">
<item type="input">=ROUND(2.5)</item> returns 3. </paragraph>
<paragraph xml-lang="en-US" id="par_id7868892" role="paragraph" l10n="NEW">
<item type="input">=ROUND(987.65;-2)</item> returns 1000.</paragraph><comment>see also INT, TRUNC, ROUNDDOWN, ROUNDUP,
CEILING, FLOOR, EVEN, ODD, MROUND</comment>
</section>
<section id="Section20">
<bookmark xml-lang="en-US" branch="index" id="bm_id3145991"><bookmark_value>ROUNDDOWN function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ABRUNDEN" id="bm_id3146003" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3145991" role="heading" level="2" l10n="U"
oldref="24">ROUNDDOWN</paragraph>
<paragraph xml-lang="en-US" id="par_id3146020" role="paragraph" l10n="CHG" oldref="25"><ahelp hid="HID_FUNC_ABRUNDEN">Rounds a number down, toward zero, to a certain precision.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3146037" role="heading" level="3" l10n="U"
oldref="26">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3146051" role="code" l10n="U" oldref="27">ROUNDDOWN(Number; Count)</paragraph>
<paragraph xml-lang="en-US" id="par_id3146064" role="paragraph" l10n="CHG" oldref="28">Returns <emph>Number</emph> rounded down (towards zero) to <emph>Count</emph> decimal places. If Count is omitted or zero, the function rounds down to an integer. If Count is negative, the function rounds down to the next 10, 100, 1000, etc.</paragraph>
<paragraph xml-lang="en-US" id="par_id2188787" role="paragraph" l10n="NEW">This function rounds towards zero. See ROUNDUP and ROUND for alternatives.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3163164" role="heading" level="3" l10n="U"
oldref="30">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3163178" role="paragraph" l10n="CHG" oldref="31">
<item type="input">=ROUNDDOWN(1.234;2)</item> returns 1.23.</paragraph>
<paragraph xml-lang="en-US" id="par_id5833307" role="paragraph" l10n="NEW">
<item type="input">=ROUNDDOWN(45.67;0)</item> returns 45.</paragraph>
<paragraph xml-lang="en-US" id="par_id7726676" role="paragraph" l10n="NEW">
<item type="input">=ROUNDDOWN(-45.67)</item> returns -45.</paragraph>
<paragraph xml-lang="en-US" id="par_id3729361" role="paragraph" l10n="NEW">
<item type="input">=ROUNDDOWN(987.65;-2)</item> returns 900.</paragraph><comment>see also INT, TRUNC, ROUND, ROUNDUP,
CEILING, FLOOR, EVEN, ODD, MROUND</comment>
</section>
<section id="Section19">
<bookmark xml-lang="en-US" branch="index" id="bm_id3163268"><bookmark_value>ROUNDUP function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_AUFRUNDEN" id="bm_id3163280" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3163268" role="heading" level="2" l10n="U"
oldref="140">ROUNDUP</paragraph>
<paragraph xml-lang="en-US" id="par_id3163297" role="paragraph" l10n="CHG" oldref="141"><ahelp hid="HID_FUNC_AUFRUNDEN">Rounds a number up, away from zero, to a certain precision.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3163315" role="heading" level="3" l10n="U"
oldref="142">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3163328" role="code" l10n="U" oldref="143">ROUNDUP(Number; Count)</paragraph>
<paragraph xml-lang="en-US" id="par_id3163342" role="paragraph" l10n="CHG" oldref="144">Returns <emph>Number</emph> rounded up (away from zero) to <emph>Count</emph> decimal places. If Count is omitted or zero, the function rounds up to an integer. If Count is negative, the function rounds up to the next 10, 100, 1000, etc.</paragraph>
<paragraph xml-lang="en-US" id="par_id9573961" role="paragraph" l10n="NEW">This function rounds away from zero. See ROUNDDOWN and ROUND for alternatives.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3163381" role="heading" level="3" l10n="U"
oldref="146">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3144786" role="paragraph" l10n="CHG" oldref="147">
<item type="input">=ROUNDUP(1.1111;2)</item> returns 1.12.</paragraph>
<paragraph xml-lang="en-US" id="par_id7700430" role="paragraph" l10n="NEW">
<item type="input">=ROUNDUP(1.2345;1)</item> returns 1.3.</paragraph>
<paragraph xml-lang="en-US" id="par_id1180455" role="paragraph" l10n="NEW">
<item type="input">=ROUNDUP(45.67;0)</item> returns 46.</paragraph>
<paragraph xml-lang="en-US" id="par_id3405560" role="paragraph" l10n="NEW">
<item type="input">=ROUNDUP(-45.67)</item> returns -46.</paragraph>
<paragraph xml-lang="en-US" id="par_id3409527" role="paragraph" l10n="NEW">
<item type="input">=ROUNDUP(987.65;-2)</item> returns 1000.</paragraph><comment>see also INT, TRUNC, ROUND, ROUNDDOWN,
CEILING, FLOOR, EVEN, ODD, MROUND</comment>
</section>
<section id="Section18">
<bookmark xml-lang="en-US" branch="index" id="bm_id3144877"><bookmark_value>SIN function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_SIN" id="bm_id3144889" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3144877" role="heading" level="2" l10n="U"
oldref="408">SIN</paragraph>
<paragraph xml-lang="en-US" id="par_id3144906" role="paragraph" l10n="CHG" oldref="409"><ahelp hid="HID_FUNC_SIN">Returns the sine of the given angle (in radians).</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3144923" role="heading" level="3" l10n="U"
oldref="410">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3144937" role="code" l10n="U" oldref="411">SIN(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3144950" role="paragraph" l10n="CHG" oldref="412">Returns the (trigonometric) sine of <emph>Number</emph>, the angle in radians.</paragraph>
<paragraph xml-lang="en-US" id="par_id8079470" role="paragraph" l10n="NEW">To return the sine of an angle in degrees, use the RADIANS function.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3144969" role="heading" level="3" l10n="U"
oldref="413">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3144983" role="paragraph" l10n="CHG" oldref="414">
<item type="input">=SIN(PI()/2)</item> returns 1, the sine of PI/2 radians.</paragraph>
<paragraph xml-lang="en-US" id="par_id3916440" role="paragraph" l10n="NEW">
<item type="input">=SIN(RADIANS(30))</item> returns 0.5, the sine of 30 degrees.</paragraph><comment>see also COS, TAN, COT,
ACOS, ASIN, ATAN, ATAN2, ACOT </comment>
</section>
<section id="Section17">
<bookmark xml-lang="en-US" branch="index" id="bm_id3163397"><bookmark_value>SINH function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_SINHYP" id="bm_id3163409" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3163397" role="heading" level="2" l10n="U"
oldref="418">SINH</paragraph>
<paragraph xml-lang="en-US" id="par_id3163426" role="paragraph" l10n="U" oldref="419"><ahelp hid="HID_FUNC_SINHYP">Returns the hyperbolic sine of a number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3163444" role="heading" level="3" l10n="U"
oldref="420">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3163457" role="code" l10n="U" oldref="421">SINH(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3163471" role="paragraph" l10n="CHG" oldref="422">Returns the hyperbolic sine of <emph>Number</emph>.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3163491" role="heading" level="3" l10n="U"
oldref="423">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3163504" role="paragraph" l10n="CHG" oldref="424">
<item type="input">=SINH(0)</item> returns 0, the hyperbolic sine of 0.</paragraph><comment>see also COSH, TANH, COTH,
ACOSH, ASINH, ATANH, ACOTH</comment>
</section>
<section id="Section16">
<bookmark xml-lang="en-US" branch="index" id="bm_id3163596"><bookmark_value>SUM function</bookmark_value>
<bookmark_value>adding;numbers in cell ranges</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_SUMME" id="bm_id3163608" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3163596" role="heading" level="2" l10n="U"
oldref="428">SUM</paragraph>
<paragraph xml-lang="en-US" id="par_id3163625" role="paragraph" l10n="U" oldref="429"><ahelp hid="HID_FUNC_SUMME">Adds all the numbers in a range of cells.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3163643" role="heading" level="3" l10n="U"
oldref="430">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3163656" role="code" l10n="U" oldref="431">SUM(Number1; Number2; ...; Number30)</paragraph>
<paragraph xml-lang="en-US" id="par_id3163671" role="paragraph" l10n="U" oldref="432"><emph>Number 1 to Number 30</emph> are up to 30 arguments whose sum is to be calculated.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3163690" role="heading" level="3" l10n="U"
oldref="433">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3163704" role="paragraph" l10n="U" oldref="434">If you enter the numbers <item type="input">2</item>; <item type="input">3 </item>and <item type="input">4</item> in the Number 1; 2 and 3 text boxes, 9 will be returned as the result.</paragraph>
<paragraph xml-lang="en-US" id="par_id3151740" role="paragraph" l10n="U" oldref="556">
<item type="input">=SUM(A1;A3;B5)</item> calculates the sum of the three cells. <item type="input">=SUM (A1:E10)</item> calculates the sum of all cells in the A1 to E10 cell range.</paragraph>
<paragraph xml-lang="en-US" id="par_id3151756" role="paragraph" l10n="U" oldref="619">Conditions linked by AND can be used with the function SUM() in the following manner:</paragraph>
<paragraph xml-lang="en-US" id="par_id3151774" role="paragraph" l10n="CHG" oldref="620">Example assumption: You have entered invoices into a table. Column A contains the date value of the invoice, column B the amounts. You want to find a formula that you can use to return the total of all amounts only for a specific month, e.g. only the amount for the period >=2008-01-01 to <2008-02-01. The range with the date values covers A1:A40, the range containing the amounts to be totaled is B1:B40. C1 contains the start date, 2008<item type="input">-01-01</item>, of the invoices to be included and C2 the date, 2008<item type="input">-02-01</item>, that is no longer included.</paragraph>
<paragraph xml-lang="en-US" id="par_id3151799" role="paragraph" l10n="U" oldref="621">Enter the following formula as an array formula:</paragraph>
<paragraph xml-lang="en-US" id="par_id3151813" role="paragraph" l10n="U" oldref="622">
<item type="input">=SUM((A1:A40>=C1)*(A1:A40<C2)*B1:B40)</item>
</paragraph>
<paragraph xml-lang="en-US" id="par_id3151828" role="paragraph" l10n="U" oldref="623">In order to enter this as an array formula, you must press the Shift<switchinline select="sys"><caseinline select="MAC">+Command
</caseinline><defaultinline>+ Ctrl</defaultinline></switchinline>+ Enter keys instead of simply pressing the Enter key to close the formula. The formula will then be shown in the <emph>Formula</emph> bar enclosed in braces.</paragraph>
<paragraph xml-lang="en-US" id="par_id3151869" role="paragraph" l10n="U" oldref="624">{=SUM((A1:A40>=C1)*(A1:A40<C2)*B1:B40)}</paragraph>
<paragraph xml-lang="en-US" id="par_id3151884" role="paragraph" l10n="CHG" oldref="625">The formula is based on the fact that the result of a comparison is 1 if the criterion is met and 0 if it is not met. The individual comparison results will be treated as an array and used in matrix multiplication, and at the end the individual values will be totaled to give the result matrix.</paragraph>
</section>
<section id="Section15">
<bookmark xml-lang="en-US" branch="index" id="bm_id3151957"><bookmark_value>SUMIF function</bookmark_value>
<bookmark_value>adding;specified numbers</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_SUMMEWENN" id="bm_id3151969" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3151957" role="heading" level="2" l10n="U"
oldref="436">SUMIF</paragraph>
<paragraph xml-lang="en-US" id="par_id3151986" role="paragraph" l10n="U" oldref="437"><ahelp hid="HID_FUNC_SUMMEWENN">Adds the cells specified by a given criteria.</ahelp> This function is used to browse a range when you search for a certain value.</paragraph>
<embed href="text/shared/00/00000001.xhp#regulaer"/>
<paragraph xml-lang="en-US" id="hd_id3152015" role="heading" level="3" l10n="U"
oldref="438">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3152028" role="code" l10n="U" oldref="439">SUMIF(Range; Criteria; SumRange)</paragraph>
<paragraph xml-lang="en-US" id="par_id3152043" role="paragraph" l10n="U" oldref="440"><emph>Range</emph> is the range to which the criteria are to be applied.</paragraph>
<paragraph xml-lang="en-US" id="par_id3152062" role="paragraph" l10n="CHG" oldref="441"><emph>Criteria</emph> is the cell in which the search criterion is shown, or the search criterion itself. If the criteria is written into the formula, it has to be surrounded by double quotes.</paragraph>
<paragraph xml-lang="en-US" id="par_id3152083" role="paragraph" l10n="U" oldref="442"><emph>SumRange</emph> is the range from which values are summed. If this parameter has not been indicated, the values found in the Range are summed.</paragraph>
<paragraph xml-lang="en-US" id="par_id8347422" role="note" l10n="NEW">SUMIF supports the reference concatenation operator (~) only in the Criteria parameter, and only if the optional SumRange parameter is not given.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3152110" role="heading" level="3" l10n="U"
oldref="443">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3152148" role="paragraph" l10n="CHG" oldref="626">To sum up only negative numbers: <item type="input">=SUMIF(A1:A10;"<0")</item>
</paragraph>
<paragraph xml-lang="en-US" id="par_id6670125" role="paragraph" l10n="NEW">
<item type="input">=SUMIF(A1:A10;">0";B1:10)</item> - sums values from the range B1:B10 only if the corresponding values in the range A1:A10 are >0.</paragraph>
<paragraph xml-lang="en-US" id="par_id6062196" role="paragraph" l10n="NEW">See COUNTIF() for some more syntax examples that can be used with SUMIF().</paragraph>
</section>
<section id="Section14">
<bookmark xml-lang="en-US" branch="index" id="bm_id3152195"><bookmark_value>TAN function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_TAN" id="bm_id3152207" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3152195" role="heading" level="2" l10n="U"
oldref="446">TAN</paragraph>
<paragraph xml-lang="en-US" id="par_id3152224" role="paragraph" l10n="CHG" oldref="447"><ahelp hid="HID_FUNC_TAN">Returns the tangent of the given angle (in radians).</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3152242" role="heading" level="3" l10n="U"
oldref="448">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3152255" role="code" l10n="U" oldref="449">TAN(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3152269" role="paragraph" l10n="CHG" oldref="450">Returns the (trigonometric) tangent of <emph>Number</emph>, the angle in radians.</paragraph>
<paragraph xml-lang="en-US" id="par_id5752128" role="paragraph" l10n="NEW">To return the tangent of an angle in degrees, use the RADIANS function.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3152287" role="heading" level="3" l10n="U"
oldref="451">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3152301" role="paragraph" l10n="CHG" oldref="452">
<item type="input">=TAN(PI()/4) </item>returns 1, the tangent of PI/4 radians.</paragraph>
<paragraph xml-lang="en-US" id="par_id1804864" role="paragraph" l10n="NEW">
<item type="input">=TAN(RADIANS(45))</item> returns 1, the tangent of 45 degrees.</paragraph><comment>see also COS, SIN, COT,
ACOS, ASIN, ATAN, ATAN2, ACOT</comment>
</section>
<section id="Section13">
<bookmark xml-lang="en-US" branch="index" id="bm_id3165434"><bookmark_value>TANH function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_TANHYP" id="bm_id3165446" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3165434" role="heading" level="2" l10n="U"
oldref="456">TANH</paragraph>
<paragraph xml-lang="en-US" id="par_id3165462" role="paragraph" l10n="U" oldref="457"><ahelp hid="HID_FUNC_TANHYP">Returns the hyperbolic tangent of a number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3165480" role="heading" level="3" l10n="U"
oldref="458">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3165494" role="code" l10n="U" oldref="459">TANH(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3165508" role="paragraph" l10n="CHG" oldref="460">Returns the hyperbolic tangent of <emph>Number</emph>.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3165527" role="heading" level="3" l10n="U"
oldref="461">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3165541" role="paragraph" l10n="CHG" oldref="462">
<item type="input">=TANH(0)</item> returns 0, the hyperbolic tangent of 0.</paragraph><comment>see also COSH, SINH, COTH,
ACOSH, ASINH, ATANH, ACOTH</comment>
</section>
<section id="Section12">
<bookmark xml-lang="en-US" branch="index" id="bm_id3165633"><bookmark_value>AutoFilter function; subtotals</bookmark_value>
<bookmark_value>sums;of filtered data</bookmark_value>
<bookmark_value>filtered data; sums</bookmark_value>
<bookmark_value>SUBTOTAL function</bookmark_value>
</bookmark><comment>mw made "sums..." a two level entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_TEILERGEBNIS" id="bm_id3165644" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3165633" role="heading" level="2" l10n="U"
oldref="466">SUBTOTAL</paragraph>
<paragraph xml-lang="en-US" id="par_id3165682" role="paragraph" l10n="U" oldref="467"><ahelp hid="HID_FUNC_TEILERGEBNIS">Calculates subtotals.</ahelp> If a range already contains subtotals, these are not used for further calculations. Use this function with the AutoFilters to take only the filtered records into account.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3165704" role="heading" level="3" l10n="U"
oldref="495">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3165717" role="code" l10n="U" oldref="496">SUBTOTAL(Function; Range)</paragraph>
<paragraph xml-lang="en-US" id="par_id3165731" role="paragraph" l10n="U" oldref="497"><emph>Function</emph> is a number that stands for one of the following functions:</paragraph>
<table id="tbl_id3165752">
<tablerow>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3165782" role="paragraph" l10n="U" oldref="469">Function index</paragraph>
</tablecell>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3165806" role="paragraph" l10n="U" oldref="470">Function</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3165833" role="paragraph" l10n="U" oldref="471">1</paragraph>
</tablecell>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3165856" role="paragraph" l10n="U" oldref="472">AVERAGE</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3165883" role="paragraph" l10n="U" oldref="473">2</paragraph>
</tablecell>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3165906" role="paragraph" l10n="U" oldref="474">COUNT</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3165933" role="paragraph" l10n="U" oldref="475">3</paragraph>
</tablecell>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3165956" role="paragraph" l10n="U" oldref="476">COUNTA</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3165983" role="paragraph" l10n="U" oldref="477">4</paragraph>
</tablecell>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3166006" role="paragraph" l10n="U" oldref="478">MAX</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3166033" role="paragraph" l10n="U" oldref="479">5</paragraph>
</tablecell>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3166056" role="paragraph" l10n="U" oldref="480">MIN</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3143316" role="paragraph" l10n="U" oldref="481">6</paragraph>
</tablecell>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3143339" role="paragraph" l10n="U" oldref="482">PRODUCT</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3143366" role="paragraph" l10n="U" oldref="483">7</paragraph>
</tablecell>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3143389" role="paragraph" l10n="U" oldref="484">STDEV</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3143416" role="paragraph" l10n="U" oldref="485">8</paragraph>
</tablecell>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3143439" role="paragraph" l10n="U" oldref="486">STDEVP</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3143466" role="paragraph" l10n="U" oldref="487">9</paragraph>
</tablecell>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3143489" role="paragraph" l10n="U" oldref="488">SUM</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3143516" role="paragraph" l10n="U" oldref="489">10</paragraph>
</tablecell>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3143539" role="paragraph" l10n="U" oldref="490">VAR</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3143566" role="paragraph" l10n="U" oldref="491">11</paragraph>
</tablecell>
<tablecell>
<paragraph xml-lang="en-US" id="par_id3143589" role="paragraph" l10n="U" oldref="492">VARP</paragraph>
</tablecell>
</tablerow>
</table>
<paragraph xml-lang="en-US" id="par_id3143606" role="paragraph" l10n="U" oldref="498"><emph>Range</emph> is the range whose cells are included.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3143625" role="heading" level="3" l10n="U"
oldref="499">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3143638" role="paragraph" l10n="U" oldref="562">You have a table in the cell range A1:B5 containing cities in column A and accompanying figures in column B. You have used an AutoFilter so that you only see rows containing the city Hamburg. You want to see the sum of the figures that are displayed; that is, just the subtotal for the filtered rows. In this case the correct formula would be:</paragraph>
<paragraph xml-lang="en-US" id="par_id3143658" role="paragraph" l10n="U" oldref="563">
<item type="input">=SUBTOTAL(9;B2:B5)</item>
</paragraph>
</section>
<section id="Section11">
<bookmark xml-lang="en-US" branch="index" id="bm_id3143672"><bookmark_value>Euro; converting</bookmark_value>
<bookmark_value>EUROCONVERT function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_UMRECHNEN" id="bm_id3143684" localize="false"/>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_EUROCONVERT" id="bm_id0119200904282677" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3143672" role="heading" level="2" l10n="CHG"
oldref="564">EUROCONVERT<comment>insert link in financial</comment></paragraph>
<paragraph xml-lang="en-US" id="par_id3143708" role="paragraph" l10n="CHG" oldref="565"><ahelp hid="HID_FUNC_UMRECHNEN">Converts between old European national currency and to and from Euros.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="par_id3143731" role="heading" level="3" l10n="U"
oldref="566"><emph>Syntax</emph>
</paragraph>
<paragraph xml-lang="en-US" id="par_id3143748" role="code" l10n="CHG" oldref="567">EUROCONVERT(Value; "From_currency"; "To_currency", full_precision, triangulation_precision)</paragraph>
<paragraph xml-lang="en-US" id="par_id3143763" role="paragraph" l10n="U" oldref="568"><emph>Value</emph> is the amount of the currency to be converted.</paragraph>
<paragraph xml-lang="en-US" id="par_id3143782" role="paragraph" l10n="CHG" oldref="569"><emph>From_currency</emph> and <emph>To_currency</emph> are the currency units to convert from and to respectively. These must be text, the official abbreviation for the currency (for example, "EUR"). The rates (shown per Euro) were set by the European Commission.</paragraph>
<paragraph xml-lang="en-US" id="par_id0119200904301810" role="paragraph" l10n="NEW"><emph>Full_precision</emph> is optional. If omitted or False, the result is rounded according to the decimals of the To currency. If Full_precision is True, the result is not rounded.</paragraph>
<paragraph xml-lang="en-US" id="par_id0119200904301815" role="paragraph" l10n="NEW"><emph>Triangulation_precision</emph> is optional. If Triangulation_precision is given and >=3, the intermediate result of a triangular conversion (currency1,EUR,currency2) is rounded to that precision. If Triangulation_precision is omitted, the intermediate result is not rounded. Also if To currency is "EUR", Triangulation_precision is used as if triangulation was needed and conversion from EUR to EUR was applied.</paragraph>
<paragraph xml-lang="en-US" id="par_id3143819" role="heading" level="3" l10n="U"
oldref="570"><emph>Examples</emph>
</paragraph>
<paragraph xml-lang="en-US" id="par_id3143837" role="paragraph" l10n="U" oldref="571">
<item type="input">=EUROCONVERT(100;"ATS";"EUR")</item> converts 100 Austrian Schillings into Euros.</paragraph>
<paragraph xml-lang="en-US" id="par_id3143853" role="paragraph" l10n="U" oldref="572">
<item type="input">=EUROCONVERT(100;"EUR";"DEM")</item> converts 100 Euros into German Marks.</paragraph>
</section>
<section id="convert">
<bookmark xml-lang="en-US" branch="index" id="bm_id0908200902090676"><bookmark_value>CONVERT function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_UMRECHNEN" id="bm_id0908200902093111" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id0908200902074836" role="heading" level="2" l10n="NEW">CONVERT</paragraph>
<paragraph xml-lang="en-US" id="par_id0908200902131122" role="paragraph" l10n="NEW"><ahelp hid=".">Converts a value from one unit of measurement to another unit of measurement. The conversion factors are given in a list in the configuration.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="par_id0908200902475420" role="paragraph" l10n="NEW">At one time the list of conversion factors included the legacy European currencies and the Euro (see examples below). We suggest using the new function EUROCONVERT for converting these currencies.</paragraph>
<paragraph xml-lang="en-US" id="hd_id0908200902131071" role="heading" level="3" l10n="NEW">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id0908200902131191" role="code" l10n="NEW">CONVERT(value;"text";"text")</paragraph>
<paragraph xml-lang="en-US" id="hd_id0908200902131152" role="heading" level="3" l10n="NEW">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id090820090213112" role="paragraph" l10n="NEW">
<item type="input">=CONVERT(100;"ATS";"EUR")</item> returns the Euro value of 100 Austrian Schillings.</paragraph>
<paragraph xml-lang="en-US" id="par_id0908200902475431" role="paragraph" l10n="NEW">=CONVERT(100;"EUR";"DEM") converts 100 Euros into German Marks. </paragraph>
</section>
<section id="Section10">
<bookmark xml-lang="en-US" branch="index" id="bm_id3157177"><bookmark_value>ODD function</bookmark_value>
<bookmark_value>rounding;up/down to nearest odd integer</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_UNGERADE" id="bm_id3157188" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3157177" role="heading" level="2" l10n="U"
oldref="502">ODD</paragraph>
<paragraph xml-lang="en-US" id="par_id3157205" role="paragraph" l10n="CHG" oldref="503"><ahelp hid="HID_FUNC_UNGERADE">Rounds a positive number up to the nearest odd integer and a negative number down to the nearest odd integer.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3157223" role="heading" level="3" l10n="U"
oldref="504">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3157237" role="code" l10n="U" oldref="505">ODD(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3157250" role="paragraph" l10n="CHG" oldref="506"> Returns <emph>Number</emph> rounded to the next odd integer up, away from zero.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3157270" role="heading" level="3" l10n="U"
oldref="507">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3157283" role="paragraph" l10n="CHG" oldref="508">
<item type="input">=ODD(1.2)</item> returns 3.</paragraph>
<paragraph xml-lang="en-US" id="par_id8746910" role="paragraph" l10n="NEW">
<item type="input">=ODD(1)</item> returns 1.</paragraph>
<paragraph xml-lang="en-US" id="par_id9636524" role="paragraph" l10n="NEW">
<item type="input">=ODD(0)</item> returns 1.</paragraph>
<paragraph xml-lang="en-US" id="par_id5675527" role="paragraph" l10n="NEW">
<item type="input">=ODD(-3.1)</item> returns -5.</paragraph><comment>see also CEILING, FLOOR, EVEN, MROUND,
INT, TRUNC, ROUND, ROUNDDOWN, ROUNDUP</comment>
</section>
<section id="Section9">
<bookmark xml-lang="en-US" branch="index" id="bm_id3157404"><bookmark_value>FLOOR function</bookmark_value>
<bookmark_value>rounding;down to nearest multiple of significance</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_UNTERGRENZE" id="bm_id3157415" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3157404" role="heading" level="2" l10n="U"
oldref="512">FLOOR</paragraph>
<paragraph xml-lang="en-US" id="par_id3157432" role="paragraph" l10n="U" oldref="513"><ahelp hid="HID_FUNC_UNTERGRENZE">Rounds a number down to the nearest multiple of Significance.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3157451" role="heading" level="3" l10n="U"
oldref="514">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3157464" role="code" l10n="U" oldref="515">FLOOR(Number; Significance; Mode)</paragraph>
<paragraph xml-lang="en-US" id="par_id3157478" role="paragraph" l10n="U" oldref="516"><emph>Number</emph> is the number that is to be rounded down.</paragraph>
<paragraph xml-lang="en-US" id="par_id3157497" role="paragraph" l10n="U" oldref="517"><emph>Significance</emph> is the value to whose multiple the number is to be rounded down.</paragraph>
<paragraph xml-lang="en-US" id="par_id3157517" role="paragraph" l10n="CHG" oldref="561"><emph>Mode</emph> is an optional value. If the Mode value is given and not equal to zero, and if Number and Significance are negative, then rounding is done based on the absolute value of the number. This parameter is ignored when exporting to MS Excel as Excel does not know any third parameter.</paragraph>
<paragraph xml-lang="en-US" id="par_id3163894" role="warning" l10n="CHG" oldref="630">If both parameters Number and Significance are negative, and if the Mode value is equal to zero or is not specified, then the results in $[officename] Calc and Excel will differ after exporting. If you export the spreadsheet to Excel, use Mode=1 to see the same results in Excel as in Calc.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3163932" role="heading" level="3" l10n="U"
oldref="518">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3163945" role="paragraph" l10n="CHG" oldref="519">
<item type="input">=FLOOR( -11;-2)</item> returns -12</paragraph>
<paragraph xml-lang="en-US" id="par_id3163966" role="paragraph" l10n="CHG" oldref="520">
<item type="input">=FLOOR( -11;-2;0)</item> returns -12</paragraph>
<paragraph xml-lang="en-US" id="par_id3163988" role="paragraph" l10n="CHG" oldref="521">
<item type="input">=FLOOR( -11;-2;1)</item> returns -10</paragraph><comment>see also CEILING, EVEN, ODD, MROUND,
INT, TRUNC, ROUND, ROUNDDOWN, ROUNDUP, </comment>
</section>
<section id="Section8">
<bookmark xml-lang="en-US" branch="index" id="bm_id3164086"><bookmark_value>SIGN function</bookmark_value>
<bookmark_value>algebraic signs</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_VORZEICHEN" id="bm_id3164098" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3164086" role="heading" level="2" l10n="U"
oldref="523">SIGN</paragraph>
<paragraph xml-lang="en-US" id="par_id3164115" role="paragraph" l10n="CHG" oldref="524"><ahelp hid="HID_FUNC_VORZEICHEN">Returns the sign of a number. Returns 1 if the number is positive, -1 if negative and 0 if zero.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3164136" role="heading" level="3" l10n="U"
oldref="525">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3164150" role="code" l10n="U" oldref="526">SIGN(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3164164" role="paragraph" l10n="U" oldref="527"><emph>Number</emph> is the number whose sign is to be determined.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3164183" role="heading" level="3" l10n="U"
oldref="528">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3164197" role="paragraph" l10n="CHG" oldref="529">
<item type="input">=SIGN(3.4)</item> returns 1.</paragraph>
<paragraph xml-lang="en-US" id="par_id3164212" role="paragraph" l10n="CHG" oldref="530">
<item type="input">=SIGN(-4.5)</item> returns -1.</paragraph><comment>see also ABS</comment>
</section>
<section id="Section7">
<bookmark xml-lang="en-US" branch="index" id="bm_id3164252"><bookmark_value>MROUND function</bookmark_value>
<bookmark_value>nearest multiple</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_AAI_FUNC_MROUND" id="bm_id3164264" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3164252" role="heading" level="2" l10n="E"
oldref="658">MROUND</paragraph>
<paragraph xml-lang="en-US" id="par_id3164288" role="paragraph" l10n="CHG" oldref="659"><ahelp hid="HID_AAI_FUNC_MROUND">Returns a number rounded to the nearest multiple of another number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3164306" role="heading" level="3" l10n="U"
oldref="660">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3164320" role="code" l10n="U" oldref="661">MROUND(Number; Multiple)</paragraph>
<paragraph xml-lang="en-US" id="par_id3486434" role="paragraph" l10n="NEW">Returns <emph>Number</emph> rounded to the nearest multiple of <emph>Multiple</emph>. </paragraph>
<paragraph xml-lang="en-US" id="par_id3068636" role="paragraph" l10n="NEW">An alternative implementation would be <item type="literal">Multiple * ROUND(Number/Multiple)</item>.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3164333" role="heading" level="3" l10n="U"
oldref="662">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3164347" role="paragraph" l10n="CHG" oldref="663">
<item type="input">=MROUND(15.5;3)</item> returns 15, as 15.5 is closer to 15 (= 3*5) than to 18 (= 3*6).</paragraph>
<paragraph xml-lang="en-US" id="par_idN14DD6" role="paragraph" l10n="CHG">
<item type="input">=MROUND(1.4;0.5)</item> returns 1.5 (= 0.5*3).</paragraph><comment>see also CEILING, FLOOR, EVEN, ODD,
INT, TRUNC, ROUND, ROUNDDOWN, ROUNDUP</comment>
</section>
<section id="Section6">
<bookmark xml-lang="en-US" branch="index" id="bm_id3164375"><bookmark_value>SQRT function</bookmark_value>
<bookmark_value>square roots;positive numbers</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_WURZEL" id="bm_id3164387" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3164375" role="heading" level="2" l10n="U"
oldref="532">SQRT</paragraph>
<paragraph xml-lang="en-US" id="par_id3164404" role="paragraph" l10n="CHG" oldref="533"><ahelp hid="HID_FUNC_WURZEL">Returns the positive square root of a number.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3164424" role="heading" level="3" l10n="U"
oldref="534">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3164437" role="code" l10n="U" oldref="535">SQRT(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id3164451" role="paragraph" l10n="CHG" oldref="536">Returns the positive square root of <emph>Number</emph>.</paragraph>
<paragraph xml-lang="en-US" id="par_id6870021" role="paragraph" l10n="NEW"> Number must be positive.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3164471" role="heading" level="3" l10n="U"
oldref="537">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3164484" role="paragraph" l10n="CHG" oldref="538">
<item type="input">=SQRT(16)</item> returns 4.</paragraph>
<paragraph xml-lang="en-US" id="par_id3591723" role="paragraph" l10n="NEW">
<item type="input">=SQRT(-16)</item> returns an <item type="literal">invalid argument</item> error.</paragraph><comment>see also SQRTPI, POWER </comment>
</section>
<section id="Section5">
<bookmark xml-lang="en-US" branch="index" id="bm_id3164560"><bookmark_value>SQRTPI function</bookmark_value>
<bookmark_value>square roots;products of Pi</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_AAI_FUNC_SQRTPI" id="bm_id3164572" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3164560" role="heading" level="2" l10n="E"
oldref="665">SQRTPI</paragraph>
<paragraph xml-lang="en-US" id="par_id3164596" role="paragraph" l10n="CHG" oldref="666"><ahelp hid="HID_AAI_FUNC_SQRTPI">Returns the square root of (PI times a number).</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3164614" role="heading" level="3" l10n="U"
oldref="667">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3164627" role="code" l10n="U" oldref="668">SQRTPI(Number)</paragraph>
<paragraph xml-lang="en-US" id="par_id1501510" role="paragraph" l10n="NEW">Returns the positive square root of (PI multiplied by <emph>Number</emph>).</paragraph>
<paragraph xml-lang="en-US" id="par_id9929197" role="paragraph" l10n="NEW">This is equivalent to <item type="literal">SQRT(PI()*Number)</item>.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3164641" role="heading" level="3" l10n="U"
oldref="669">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3164654" role="paragraph" l10n="CHG" oldref="670">
<item type="input">=SQRTPI(2)</item> returns the squareroot of (2PI), approximately 2.506628.</paragraph><comment>see also SQRT</comment>
</section>
<section id="Section4">
<bookmark xml-lang="en-US" branch="index" id="bm_id3164669"><bookmark_value>random numbers; between limits</bookmark_value>
<bookmark_value>RANDBETWEEN function</bookmark_value>
</bookmark><comment>mw changed "random numbers;"</comment>
<bookmark xml-lang="en-US" branch="hid/HID_AAI_FUNC_RANDBETWEEN" id="bm_id3164680" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3164669" role="heading" level="2" l10n="E"
oldref="671">RANDBETWEEN</paragraph>
<paragraph xml-lang="en-US" id="par_id3164711" role="paragraph" l10n="CHG" oldref="672"><ahelp hid="HID_AAI_FUNC_RANDBETWEEN">Returns an integer random number in a specified range.</ahelp></paragraph>
<paragraph xml-lang="en-US" id="hd_id3164745" role="heading" level="3" l10n="U"
oldref="673">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3164758" role="code" l10n="U" oldref="674">RANDBETWEEN(Bottom; Top)</paragraph>
<paragraph xml-lang="en-US" id="par_id7112338" role="paragraph" l10n="NEW">Returns an integer random number between integers <emph>Bottom</emph> and <emph>Top</emph> (both inclusive).</paragraph>
<paragraph xml-lang="en-US" id="par_id2855616" role="paragraph" l10n="NEW">This function produces a new random number each time Calc recalculates. To force Calc to recalculate manually press Shift+<switchinline select="sys"><caseinline select="MAC">Command
</caseinline><defaultinline>Ctrl</defaultinline></switchinline>+F9.</paragraph>
<paragraph xml-lang="en-US" id="par_id2091433" role="paragraph" l10n="NEW">To generate random numbers which never recalculate, copy cells containing this function, and use <item type="menuitem">Edit - Paste Special</item> (with <item type="menuitem">Paste All</item> and <item type="menuitem">Formulas</item> not marked and <item type="menuitem">Numbers</item> marked).</paragraph>
<paragraph xml-lang="en-US" id="hd_id3164772" role="heading" level="3" l10n="U"
oldref="675">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3164785" role="paragraph" l10n="U" oldref="676">
<item type="input">=RANDBETWEEN(20;30)</item> returns an integer of between 20 and 30.</paragraph><comment>see also RAND</comment>
</section>
<section id="Section3">
<bookmark xml-lang="en-US" branch="index" id="bm_id3164800"><bookmark_value>RAND function</bookmark_value>
<bookmark_value>random numbers;between 0 and 1</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ZUFALLSZAHL" id="bm_id3164812" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3164800" role="heading" level="2" l10n="U"
oldref="542">RAND</paragraph>
<paragraph xml-lang="en-US" id="par_id3164829" role="paragraph" l10n="CHG" oldref="543"><ahelp hid="HID_FUNC_ZUFALLSZAHL">Returns a random number between 0 and 1.</ahelp><comment>The value of 0 can be returned, the value of 1 not.</comment><comment>this is really true after issue 53642 will be fixed</comment></paragraph>
<paragraph xml-lang="en-US" id="hd_id3164870" role="heading" level="3" l10n="U"
oldref="545">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3164884" role="code" l10n="U" oldref="546">RAND()</paragraph>
<paragraph xml-lang="en-US" id="par_id5092318" role="paragraph" l10n="NEW">This function produces a new random number each time Calc recalculates. To force Calc to recalculate manually press Shift+<switchinline select="sys"><caseinline select="MAC">Command
</caseinline><defaultinline>Ctrl</defaultinline></switchinline>+F9.</paragraph>
<paragraph xml-lang="en-US" id="par_id9312417" role="paragraph" l10n="NEW">To generate random numbers which never recalculate, copy cells each containing =RAND(), and use <item type="menuitem">Edit - Paste Special</item> (with <item type="menuitem">Paste All</item> and <item type="menuitem">Formulas</item> not marked and <item type="menuitem">Numbers</item> marked).</paragraph>
<paragraph xml-lang="en-US" id="hd_id9089022" role="heading" level="3" l10n="NEW">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id9569078" role="paragraph" l10n="NEW">
<item type="input">=RAND()</item> returns a random number between 0 and 1.</paragraph><comment>see also RANDBETWEEN
</comment>
</section>
<section id="Section2">
<bookmark xml-lang="en-US" branch="index" id="bm_id3164897"><bookmark_value>COUNTIF function</bookmark_value>
<bookmark_value>counting;specified cells</bookmark_value>
</bookmark><comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_ZAEHLENWENN" id="bm_id3164909" localize="false"/>
<paragraph xml-lang="en-US" id="hd_id3164897" role="heading" level="2" l10n="U"
oldref="547">COUNTIF</paragraph>
<paragraph xml-lang="en-US" id="par_id3164926" role="paragraph" l10n="CHG" oldref="548"><ahelp hid="HID_FUNC_ZAEHLENWENN">Returns the number of cells that meet with certain criteria within a cell range.</ahelp></paragraph>
<embed href="text/shared/00/00000001.xhp#regulaer"/>
<paragraph xml-lang="en-US" id="hd_id3164953" role="heading" level="3" l10n="U"
oldref="549">Syntax</paragraph>
<paragraph xml-lang="en-US" id="par_id3164967" role="code" l10n="U" oldref="550">COUNTIF(Range; Criteria)</paragraph>
<paragraph xml-lang="en-US" id="par_id3164980" role="paragraph" l10n="U" oldref="551"><emph>Range</emph> is the range to which the criteria are to be applied.</paragraph>
<paragraph xml-lang="en-US" id="par_id3165000" role="paragraph" l10n="CHG" oldref="552"><emph>Criteria</emph> indicates the criteria in the form of a number, an expression or a character string. These criteria determine which cells are counted. You may also enter a search text in the form of a regular expression, e.g. b.* for all words that begin with b. You may also indicate a cell range that contains the search criterion. If you search for literal text, enclose the text in double quotes.</paragraph>
<paragraph xml-lang="en-US" id="hd_id3165037" role="heading" level="3" l10n="U"
oldref="553">Example</paragraph>
<paragraph xml-lang="en-US" id="par_id3166505" role="paragraph" l10n="CHG" oldref="627">A1:A10 is a cell range containing the numbers <item type="input">2000</item> to <item type="input">2009</item>. Cell B1 contains the number <item type="input">2006</item>. In cell B2, you enter a formula:</paragraph>
<paragraph xml-lang="en-US" id="par_id3581652" role="paragraph" l10n="NEW">
<item type="input">=COUNTIF(A1:A10;2006)</item> - this returns 1</paragraph>
<paragraph xml-lang="en-US" id="par_id708639" role="paragraph" l10n="NEW">
<item type="input">=COUNTIF(A1:A10;B1)</item> - this returns 1</paragraph>
<paragraph xml-lang="en-US" id="par_id5169225" role="paragraph" l10n="NEW">
<item type="input">=COUNTIF(A1:A10;">=2006") </item>- this returns 4</paragraph>
<paragraph xml-lang="en-US" id="par_id2118594" role="paragraph" l10n="NEW">
<item type="input">=COUNTIF(A1:A10;"<"&B1)</item> - when B1 contains <item type="input">2006</item>, this returns 6</paragraph>
<paragraph xml-lang="en-US" id="par_id166020" role="paragraph" l10n="NEW">
<item type="input">=COUNTIF(A1:A10;C2)</item> where cell C2 contains the text <item type="input">>2006</item> counts the number of cells in the range A1:A10 which are >2006 </paragraph>
<paragraph xml-lang="en-US" id="par_id6386913" role="paragraph" l10n="NEW">To count only negative numbers: <item type="input">=COUNTIF(A1:A10;"<0")</item>
</paragraph>
</section>
</sort>
<section id="relatedtopics">
<embed href="text/scalc/01/04060100.xhp#drking"/>
</section>
</body>
</helpdocument>
|
