Tài liệu Special Functions part 13 docx

... few steps are required to integrate the equations. A half-dozen is typical. 272 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... READING: Erd´elyi, A., Magnus, W., Oberhettinger, F., and Tricomi, F.G. 1953, Higher Transcendental Functions , Vol. II, (New York: McGraw-Hill). [1] Gradshteyn, I.S., and...

Ngày tải lên: 21/01/2014, 18:20

... Exchange 2007 Tài liệu dành cho học viên VSIC Education Corporation Trang 99 c. Nhập vào thông tin như hình ... bạn muốn hiển thị Î OK Î OK e. Vào DNS management Î tạo new zone : ordb.org Exchange 2007 Tài liệu dành cho học viên VSIC Education Corporation Trang 100 f. Tạo hostname là IP của Mail ... giả mạo đến domain vsiclab.net From : ctloc@vsiclab.net To : hpb...

Ngày tải lên: 24/12/2013, 01:16

... 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

... 6.1 Gamma, Beta, and Related Functions 213 Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... the complex gamma function, everywhere in the half complex plane Re z>0. 214 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... 1955, Approximations...

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-1.26551223+t*(1.00002368+t*(0.37409196+t*(0.09678418+ t*(-0.18628806+t*(0.27886807+t*(-1 .135 20398+t*(1.48851587+ t*(-0.82215223+t*0.17087277))))))))); return x >= 0.0 ? ans : 2.0-ans; } There are also some functions of two variables that are special cases of the incomplete ... (6.2.7) converges rapidly for x greater than about a+1...

Ngày tải lên: 21/01/2014, 18:20

... expint"); else { if (n == 0) ans=exp(-x)/x; Special case. else { if (x == 0.0) ans=1.0/nm1; Another special case. else { 224 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN ... 222 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... integral. Note that Ei(−x) is related to...

Ngày tải lên: 21/01/2014, 18:20

... 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 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... accurate approximations. We will discuss the theory that leads to equation (6.10.3) later, in 13. 11, as an interesting appl...

Ngày tải lên: 21/01/2014, 18:20

... x, x)=x −1/2 (6.11 .13) When the arguments are closeenough, the function is evaluatedfrom a fixedTaylor expansion about (6.11 .13) through fifth-order terms. While the iterative part of the algorithm ... the first kind, R F (x, y, z)= 1 2  ∞ 0 dt  (t + x)(t + y)(t + z) (6.11.3) 262 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISB...

Ngày tải lên: 21/01/2014, 18:20

... 226 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... function by modified 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 0-521-43108-5) Copyright ... thisdoes not prove to be ve...

Ngày tải lên: 21/01/2014, 18:20

... use the value 8), approximate J 0 (x) and J 1 (x) by rational functions in x. Likewise approximate by rational functions the “regular part of Y 0 (x) and Y 1 (x),definedas Y 0 (x)− 2 π J 0 (x)ln(x) ... 8.0) { Rational function approximation of (6.5.8). y=x*x; ans1=x*(-0.4900604943e13+y*(0.1275274390e13 +y*(-0.515343 8139 e11+y*(0.7349264551e9 +y*(-0.4237922726e7+y*0.8511937935e4))))); ans...

Ngày tải lên: 21/01/2014, 18:20