C++ for Mathematicians An Introduction for Students and Professionals phần 7 potx

... value of 1 /7 1.428 57 10 /7 0.001428 57 1 /70 0-0.1428 57 −1 /7 2.5e+11 2.5 ×10111 one300 C++ for Mathematicians 14 long n2 = atol(argv[2]);15 cout << gcd(n1,n2) << endl;16 17 return ... tar is an acronym for tape archive; this ﬁle format provides a mechanism for packaging manyﬁles 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 acoordinate system and pen attributes,• Draw the image, and • Close the Plotter.Finally, we need to compile and run the...

C++ for Mathematicians An Introduction for Students and Professionals phần 1 pot

... In loving memory of Pauline and of Arnold14 C++ for Mathematicians 2.2 The real number types C++ can handle more than integers. Real numbers are represented using ﬂoatingpoint ... elementsof an array).2.3 The bool and char typesThere are other basic data types available in C++. Two that we encounter fre-quently in C++ are designed for handling Boolean and character ... . . 174 10 The Projective Plane 177 10.1 Introduction to the projective plane, RP2. . . . . . . . . . . . . . 177 10.2 Designing the classes PPoint and PLine . . . . . . . . . . . . 178 10.3...

C++ for Mathematicians An Introduction for Students and Professionals phần 3 pot

... thousand 0.6 079 3015 07 200 thousand 0.6 079 29945 875 00004300 thousand 0.6 079 277 44 077 777 83400 thousand 0.6 079 275 9136 874 996500 thousand 0.6 079 283 174 04600 thousand 0.6 079 276 4845 277 78 70 0 thousand ... 0.6 079 276 4845 277 78 70 0 thousand 0.6 079 273 042428 571 2800 thousand 0.6 079 279 60 073 4 375 2900 thousand 0.6 079 273 649 074 074 1000 thousand 0.6 079 271 0 478 300005✝ ✆Arrays 85 for (long k=1; k<=N; k++) {cout ... setting Y’s angle to 45 degrees, Y = (70 .71 07, 70 .71 07) After setting Z = Y, we find Z = (70 .71 07, 70 .71 07) Now point X is (5,3) and point Y is (5,-3)They are not equal.✝ ✆Chapter 7 Pythagorean TriplesA...

C++ for Mathematicians An Introduction for Students and Professionals phần 5 pdf

... 10.4line 17 and Program 10.5 lines 79 –136).Therand_perp method is used by rand_point in PLine and rand_linein PPoint.Output Finally,PObject.h declares a procedure for writing to an output ... Math-ematical Statistics and Probability, 1 (1 972 ), 345–394.2B.F. Logan and L.A. Shepp, A variational problem for random Young tableaux, Advances in Math. 26(1 977 ), 206–222.3A.M. Vershik and S.V. Kerov, ... programfollows.✞☎(1,2)(3,4) =7 > (3,5)=8(5,6) /7 > (5 ,7) /7 ✝ ✆232 C++ for Mathematicians 19 long sum_up = 0;20 long sum_dn = 0;2122 for (long k=0; k<reps; k++) {23 P.randomize();24 pair<long,long> ans;25...

C++ for Mathematicians An Introduction for Students and Professionals phần 6 doc

... 5409 874 59083 475 980 374 52b = 44523409864a*b = 24086606 372 0 575 30864013 974 18226528a/b = 1215062953929a%b = 418188 179 6a+b = 5409 874 59083921214 473 16a-b = 5409 874 5908303 074 6 275 88b-a = -5409 874 5908303 074 6 275 88gcd(a,b) ... matrix 37 for (int i=0; i<n; i++) eye[i][i] = 1;252 C++ for Mathematicians 2 27 Polynomial<K> ans;228 ans = (*this).pow(half_k);229 ans*= ans;230 ans*=*this;231 return ans;232 ... you prefer.Polynomials 251 171 ans.coef.resize(dg+1); 172 for (long k=0; k<=dg; k++) ans.coef[k] = -coef[k]; 173 ans.deg_check(); 174 return ans; 175 } 176 177 Polynomial<K> operator-(const...

C++ for Mathematicians An Introduction for Students and Professionals phần 8 pptx

... windows. That is, you type commandsin 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 theprogram.The ... lines 7 and 8. Line 7 defines a target named clean with nodependencies and line 8 tells make what to do when we want to make clean. Line 8348 C++ for Mathematicians 15.5.2 Enumerations An enumeration ... commentsDoxygen reads your C++ source files (.cc and .h) and looks for specially struc-tured comments. A C++ single-line comment begins with a double slash // and a381 374 C++ for Mathematicians Adding files...

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

... for 00 and 10, respectively. Clearlyinf stands for inﬁnity whereas nan stands for not a number.2 .7 400.2.8 (a) A variable name may not begin with a digit.(b) The minus sign is an operator and ... ≤1.• atan and atan2: arc tangent.The ﬁrst is double atan(double x) and gives the arc tangent of x in theinterval (−π/2,π/2).The second is double atan(double x, double y) and gives the angleof ... of the program.✞☎01111 1 3 0.3333332 3 7 0.428 571 3 7 17 0.41 176 54 17 41 0.4146345 41 99 0.4141416 99 239 0.414226 7 239 577 0.4142118 577 1393 0.4142149 1393 3363 0.41421310 3363...

C++ for Mathematicians An Introduction for Students and Professionals phần 10 ppt

... 5.6 6.0i 6.6 7. 6 7. 2 6.8j 0.1 0.4 0.1 0.1k 0.6 0.0 0.8 0.8l 3 .7 6.6 4.3 3.8m 2.4 3.0 2.8 2.6n 6 .7 6.8 7. 0 7. 2o 7. 5 5.5 7. 1 7. 1p 2.2 2 .7 1.8 1.8q 0.1 1.1 0.1 0.1r 5.9 6 .7 5 .7 6.0s 6.5 ... 26494 C++ for Mathematicians randomized algorithm, 45rank, 279 rational function, 265rbegin, 131real part, 23recursion, 39inﬁnite, 39reference, 47, 1 07, 1 47 remove, 145removeif, 145, 1 47 rend, ... 2994 87 Answers 453 for (int k=0; k<dim; k++) {ans.coords[k] = coords[k] + that.coords[k];}return ans;}EuclideanVectorEuclideanVector::operator*(double s) const {EuclideanVector ans(dim);for...

Microsoft Data Mining integrated business intelligence for e commerc and knowledge phần 7 potx

... project are the lever for KM follow-on and expansion. Pilot participants become the core team and advocates for future projects.Stage 4: Expand and supportDevelop an expansion strategyThe cross-functional ... one another.SGML (Standard Generalized Markup Language) A standard formatunder the auspices of the International Organization for Standardization(ISO). Its formal, full name is ISO 8 879 Information ... rewards and performance evaluationThere are many benefits to reward or performance alignment since it cancontribute to an understanding of the value of knowledge sharing. This, inturn, will reinforce...

Windows Vista for IT Professionals phần 7 potx

... variety of hardware and networks is faster, easier, and more secure than before, and synchronizing data between computers and devices is simple. Windows Vista incorporates many new features that ... • Error reporting for handwriting recognition. You can now send Microsoft information about handwriting recognition errors. Microsoft then uses this information to improve handwriting recognition. ... open and position the Input Panel, support for back of pen erase, easier to use scratch-out gestures, and password security settings. • Personalization of handwriting recognition. You can now...

Xem thêm