The Mathematica Handbook by Martha L. Abell, James P. Braselton

By Martha L. Abell, James P. Braselton

This e-book covers all of the 1061 integrated items of model 2.0 in alphabetical order, with a separate part dedicated to snap shots similar gadgets. additionally, 24 of the Calculus, records and Numerical arithmetic applications resident in model 2.0 are coated, yielding a complete of over 1500 listings. nearly each directory contains an evidence of performance, annotated examples and various cross-references, in a structure that are supposed to be priceless to either starting and complicated Mathematica clients

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41 Chapter 3: C Characters 366,368,376,378, 467,839,875 See Also: S t r i n g J o i n , StringLength, ToCharacterCode,StringByteCount, StringToStream C h a r a c t e r s [ " s t r i n g " ] yields a list of the characters in s t r i n g . Example: lnfttOj:= T C h a r a c t e r s [~ 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 ' ] J Outfiioj= 11 Returns a list of the chaiacters that appeal \ in the string {1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1} JJ lnfUtJ:= - Characters["jxaandaartha ] OtitflUj= y J 11 viIQUIIIiililM a { j , i , m, a, n, d, m, a, r, t , h, a} |l I I · I γ τΐιOQ% lOlllliOiOllOllJ Retums a list of the chaiacters that appear in the string B!

The result is an exact value between ^γ and ^ for real values of z. A r c T a n [x, y] returns the unique angle Θ which satisfies tan6 = - with Θ in the same quadrant as the point (x,y). ' ' I ArcTanh i computes Tan (0). ]J m üüiioo%^ii

C o l l e c t [ p o l y , x ] collects the terms of p o l y involving the same power of x; C o l l e c t [ p o l y , y] collects the terms of p o l y involving the same power of y. 4j= Λ 2 9 + 8 x + 7 x 1 |j:Jij! 2 + ( 6 + 5 x + 4 x ) y + JJ Ψλ (3 + 2 x + x 2 ) y 2 M HaMfifififlfififitfttGflfiflfleSflfiflflfififlttfififlflfl^^ ColonForm ColonForm[ a , b] prints a : b. ,' ■ ' > Ί Ι Ο Ο % ▼iiorniiid ColorFunction 152, 154, 156,406,425,452,765 See 516,522,523 See Also: L i g h t i n g , ColorOutput C o l o r F u n c t i o n is an option for P l o t 3 D , L i s t P l o t 3 D , D e n s i t y P l o t , C o n t o u r P l o t , and other similar functions used to state a function to apply to z values to determine a color to be used for plotting over particular x,y regions.

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