Tài liệu Special Functions part 5 ppt

... America only),or send email to trade@cup.cam.ac.uk (outside North America). 0 (5. 0,0 .5) (0 .5, 0 .5) (8.0,10.0) (1.0,3.0) (0 .5, 5.0) .2 .4 .6 1.8 0 .2 .4 .6 .8 1 incomplete beta function I x (a,b) x Figure ... Lentz’s method ( 5. 2). { void nrerror(char error_text[]); 228 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -...

Ngày tải lên: 21/01/2014, 18:20

... trade@cup.cam.ac.uk (outside North America). Chapter 6. Special Functions 6.0 Introduction There is nothing particularly special about a special function, except that some person in authority ... the moniker. Special functions are sometimes called higher transcendental functions( higher than what?) or functionsof mathematicalphysics (but they occur in other fields also) or functi...

Ngày tải lên: 24/12/2013, 12:16

... representation. xx=fabs(x); n0=2*(int)(0 .5* xx/H+0 .5) ; xp=xx-n0*H; e1=exp(2.0*xp*H); e2=e1*e1; d1=n0+1; d2=d1-2.0; sum=0.0; for (i=1;i<=NMAX;i++,d1+=2.0,d2-=2.0,e1*=e2) sum += c[i]*(e1/d1+1.0/(d2*e1)); ans=0 .56 418 958 35* SIGN(exp(-xp*xp),x)*sum; ... to x/h,andx 0 ≡n 0 h,x  ≡x−x 0 ,andn  ≡n−n 0 ,sothat F(x)≈ 1 √ π N  n  =−N n  odd e −(x  −n  h) 2 n  + n 0 , (6.10.4) 260 Chapte...

Ngày tải lên: 21/01/2014, 18:20

... { -1.142022680371168e0,6 .51 651 12670737e-3, 3.087090173086e-4,-3.4706269649e-6,6.9437664e-9, 3.67795e-11,-1. 356 e-13}; static float c2[] = { 1.84374 058 7300905e0,-7.6 852 8408447867e-2, 1.271927136 654 6e-3,-4.9717367042e-6,-3.31261198e-8, 2.423096e-10,-1.702e-13,-1.49e- 15} ; xx=8.0*x*x-1.0; ... §4 .5 and 5. 5) by P m l (x)=(−1) m (1 − x 2 ) m/2 d m dx m P l (x)(6.8.4) 240 Chapter 6. S...

Ngày tải lên: 21/01/2014, 18:20

... §4 .5 and 5. 5) by P m l (x)=(−1) m (1 − x 2 ) m/2 d m dx m P l (x)(6.8.4) 6.8 Spherical Harmonics 253 Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright ... 252 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 by Cambridge ......

Ngày tải lên: 26/01/2014, 15:20

... gonna get! MAN Run! WOMAN My baby! MAN The supers have returned! The Incredibles – Part 5 SCENE 22__________________________________________ [voices, static on radio] [electric ... (ELASTIGIRL) Kids! LUCIUS (FROZONE) It's not doing anything! KARI And the beauty part is that the babies don't even have to listen 'cause they're asleep! Yo...

Ngày tải lên: 15/12/2013, 12:15

Ngày tải lên: 24/12/2013, 10:18

... (Day 5) Page 1 Mark Llewellyn COP 4710: Database Systems Spring 2004 Introduction to Data Modeling – Part 2 BÀI 5, 1 ngày COP 4710: Database Systems Spring 2004 Introduction to Data Modeling – Part ... generalization/specialization. This type of constraint can assume one of the following two forms: Total generalization/specialization: Each higher-level entity must belong to a lower-...

Ngày tải lên: 24/12/2013, 12:16

... cof[6]={76.18009172947146,-86 .50 532032941677, 24.01409824083091,-1.23173 957 2 450 155 , 0.1208 650 973866179e-2,-0 .53 952 39384 953 e -5} ; int j; y=x=xx; tmp=x +5. 5; tmp -= (x+0 .5) *log(tmp); ser=1.0000000001900 15; for (j=0;j< =5; j++) ... half complex plane Re z>0. 214 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (IS...

Ngày tải lên: 21/01/2014, 18:20

... t,z,ans; z=fabs(x); t=1.0/(1.0+0 .5* z); ans=t*exp(-z*z-1.2 655 1223+t*(1.00002368+t*(0.37409196+t*(0.09678418+ t*(-0.18628806+t*(0.27886807+t*(-1.1 352 0398+t*(1.48 851 587+ t*(-0.822 152 23+t*0.17087277))))))))); return ... use the even part of (6.2.6), which converges twice as fast (see 5. 2): Γ(a, x)=e −x x a  1 x+1−a− 1·(1 − a) x +3−a− 2·(2 − a) x +5 a− ···  (x>0) (6.2.7) It turns...

Ngày tải lên: 21/01/2014, 18:20