Tài liệu Integration of Functions part 3 docx

... Cliffs, NJ: Prentice-Hall), § 5 .3. 138 Chapter 4. Integration of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 1988-1992 ... 136 Chapter 4. Integration of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 1988-1992 by ... the comb...

Ngày tải lên: 15/12/2013, 04:15

... RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. Permission ... while qsimp requires 8 calls (8 times as many evaluations of the integrand) and qtrap requires 13 calls (making 256 times as many evaluations of the integrand). CITED REFERENCES AND FU...

Ngày tải lên: 15/12/2013, 04:15

... rest of the routine is exactly like midpnt and is omitted. 142 Chapter 4. Integration of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright ... 146 Chapter 4. Integration of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 1988-1992 by Cambr...

Ngày tải lên: 15/12/2013, 04:15

... variance of the linear combination y i − a − bx i of two random variables x i and y i , Var( y i − a − bx i )=Var( y i )+b 2 Var( x i )=σ 2 yi +b 2 σ 2 xi ≡1/w i (15 .3. 3) The sum of the square of N ... deviations for the ith point. The weighted sum of variances in the denominator of equation (15 .3. 2) can be understood both as the variance in the direction of the smallest χ 2...

Ngày tải lên: 15/12/2013, 04:15

... range of integration. { int j; float xr,xm,dx,s; static float x[]={0.0,0.14887 433 89,0. 433 39 539 41, The abscissas and weights. First value of each array not used. 0.6794095682,0.8650 633 666,0.9 739 065285}; static ... x) β f(x)dx = N  j=1 w j f(x j )(4.5. 23) 148 Chapter 4. Integration of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (...

Ngày tải lên: 15/12/2013, 04:15

... http://www.nr.com or call 1-800-872-74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). Golub, G.H. 19 73, SIAM Review , vol. 15, pp. 31 8 33 4. [10] Kronrod, A.S. 1964, Doklady ... Current values of x and y, and the pointer to your function func, are passed “over the head” of the intermediate calls through static top-level variables. 164 Chapter 4...

Ngày tải lên: 15/12/2013, 04:15

Ngày tải lên: 15/12/2013, 04:15

... 1970, Mathematical Methods of Physics , 2nd ed. (Reading, MA: W.A. Benjamin/Addison-Wesley), § 2 .3. [2] 5.2 Evaluation of Continued Fractions Continued fractions are often powerful ways of evaluating functions ... 5 .3 Polynomials and Rational Functions 1 73 Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 1988-1992 ....

Ngày tải lên: 15/12/2013, 04:15

... 5.8.1), T 0 (x)=1 T 1 (x)=x T 2 (x)=2x 2 −1 T 3 (x)=4x 3 −3x T 4 (x)=8x 4 −8x 2 +1 ··· T n+1 (x)=2xT n (x)− T n−1 (x) n ≥ 1. (5.8.2) (There also exist inverse formulas for the powers of x in terms of the T n ’s — see equations ... execution time of chebft is dominated by the calculation of N 2 cosines, rather than by the N evaluations of your function, then you should look ahead...

Ngày tải lên: 24/12/2013, 12:16

... figure of Mickey alongside its statues of other eminent film stars. In 1 933 , according to Disney Studios, Mickey received 800,000 fan letters—an average of more than 2,000 letters a day. To date, ... 1927 of The Jazz Singer. Mickey Mouse was one of the few “stars” who made a smooth transition from silent films to talkies with his 1928 cartoon Steamboat Willie. Within a year, hundr...

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