C++ for Mathematicians An Introduction for Students and Professionals phần 9 pps

... ≤1. • atan and atan2: arc tangent. The first is double atan(double x) and gives the arc tangent of x in the interval (−π/2,π/2). The second is double atan(double x, double y) and gives the angle of ... [Reference: J. Justicz, E. Scheinerman, and P. Winkler, Random intervals, American Mathematical Monthly 97 (December 199 0) 881–8 89. ] 7.3 How can we sort the array and not modify i...

Ngày tải lên: 12/08/2014, 12:20

... In loving memory of Pauline and of Arnold 14 C++ for Mathematicians 2.2 The real number types C++ can handle more than integers. Real numbers are represented using floating point ... elements of an array). 2.3 The bool and char types There are other basic data types available in C++. Two that we encounter fre- quently in C++ are designed for handling Boolean and characte...

Ngày tải lên: 12/08/2014, 12:20

... thousand 0.60 793 01507 200 thousand 0.60 792 994 587500004 300 thousand 0.60 792 774407777783 400 thousand 0.60 792 7 591 3687 499 6 500 thousand 0.60 792 8317404 600 thousand 0.60 792 76484527778 700 thousand ... 0.60 792 76484527778 700 thousand 0.60 792 730424285712 800 thousand 0.60 792 796 007343752 90 0 thousand 0.60 792 736 490 74074 1000 thousand 0.60 792 710478300005 ✝ ✆ Arrays 85...

Ngày tải lên: 12/08/2014, 12:20

... (x1,y1,z1) 88 89 if (z == 0.) { // If z==0, take (0,0,1) for (x1,y1,y2) 90 x1 = 0; 91 y1 = 0; 92 z1 = 1; 93 } 94 else { 95 if (y == 0.) { // z != 0 and y == 0, use (0,1,0) 96 x1=0; 97 y1=1; 98 z1=1; 99 } 100 ... Math- ematical Statistics and Probability, 1 ( 197 2), 345– 394 . 2 B.F. Logan and L.A. Shepp, A variational problem for random Young tableaux, Advances in Math....

Ngày tải lên: 12/08/2014, 12:20

... { 194 Polynomial<K> ans; 195 if (isZero() || that.isZero()) return ans; 196 long dans = dg + that.dg; 197 ans.coef.resize(dans+1); 198 for (long k=0; k<=dans; k++) { 199 K c(0); 200 for ... 445234 098 64 a * b = 2408660637205753086401 397 418226528 a/b = 121506 295 392 9 a%b = 4181881 796 a+b = 54 098 74 590 8 392 121447316 a-b = 54 098 74 590 8303074627588 b-a = -54 098 7...

Ngày tải lên: 12/08/2014, 12:20

... tar is an acronym for tape archive; this file format provides a mechanism for packaging many files together and need not be associated with storing data on a tape. Strings, Input/Output, and Visualization ... the Plotter and perform other initialization including establishing a coordinate system and pen attributes, • Draw the image, and • Close the Plotter. Finally, we need to c...

Ngày tải lên: 12/08/2014, 12:20

... windows. That is, you type commands in a window to invoke an editor for creating and modifying your C++ files, type another command to compile your code, and another command to run the program. The ... option and fix your code so that all warnings disap- pear. • -ansi and -pedantic: These options disable nonstandard C++ features. Compiler manufacturers often include extensions t...

Ngày tải lên: 12/08/2014, 12:20

... 273–274 ASCII, 2 89 asin, 4 09 assignment, 12, 100, 394 operator, 131, 221–223, 404 with arithmetic operation, 20, 394 at, 135, 294 atan, 4 09 atan2, 102, 4 09 atod, 299 487 Answers 453 for (int k=0; ... 395 &&, 22, 394 ˆ, 22, 2 59, 395 {, 396 }, 396 ˜, 220, 395 , 402 |, 2 59, 395 ||, 22, 394 a.exe, 366, 367 a.out, 4, 366, 367 abort, 342, 413 abs, 4 09 acos, 4 09 ad...

Ngày tải lên: 12/08/2014, 12:20

... R.( 195 0) The Mathematical Theory of Plasticity . Oxford University Press. 2. Pande G., Beer G. and Williams J. ( 199 0) Numerical methods in rock mechanics. J.Wiley, Chichester. 3. Simo J.C. and ... integrand tends to infinity with o(r 2 ) for 2-D and o(r 3 ) for 3-D problems and special attention has to be given to the evaluation of ˆ c n 'E . As explained in Chapte...

Ngày tải lên: 13/08/2014, 08:21

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