Tài liệu Description of Functions doc

... (11.03) (DF) 10.2.3 Monitoring functions in the individual operating modes Overview of monitoring functions In the individual operating modes, various monitoring functions are active. Table 10-3 ... periodi- cally after 359.9995; in the negative direction of rotation, the positions are also displayed in the range 0° 359,999°. Description of Functions Rotary Axes (R2)...

Ngày tải lên: 13/12/2013, 01:16

... 136 Chapter 4. Integration of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright (C) 1988-1992 ... READING: Abramowitz, M., and Stegun, I.A. 1964, Handbook of Mathematical Functions , Applied Mathe- matics Series, Volume 55 (Washington: National Bureau of Standards; reprinted 1968 by Dover Publications, ... fixed limits...

Ngày tải lên: 15/12/2013, 04:15

... the case of k =2. This is one example of a very general idea that goes by the name of Richardson’s deferred approach to the limit: Perform some numerical algorithm for various values of a parameter ... generalization of the routine qsimp in the last section to integration schemes that are of higher order than Simpson’s rule. The basic idea is to use the results from k successive r...

Ngày tải lên: 15/12/2013, 04:15

... change of variable. float midinf(float (*funk)(float), float aa, float bb, int n) This routine is an exact replacement for midpnt , i.e., returns the n th stage of refinement of the integral of funk from aa to bb , ... it,j; b=sqrt(bb-aa); a=0.0; if (n == 1) { The rest of the routine is exactly like midpnt and is omitted. 146 Chapter 4. Integration of Functions Sample page from N...

Ngày tải lên: 15/12/2013, 04:15

Ngày tải lên: 15/12/2013, 04:15

... America). Chapter 5. Evaluation of Functions 5.0 Introduction The purpose of this chapter is to acquaint you with a selection of the techniques that are frequently used in evaluating functions. In Chapter ... Similarly, the form of the coefficients a is often such as to make use of previous work: Terms like k! or (2k)! can be updated in a multiply or two. 165 166 Chapter 5. Evalua...

Ngày tải lên: 15/12/2013, 04:15

... Mathe- matical Association of America), pp. 59, 182–183 [synthetic division]. 5.11 Economization of Power Series One particular application of Chebyshev methods, the economization of power series,is an ... using the coefficientof the first neglected Chebyshev polynomial as an estimate of the error. 5.11 Economization of Power Series 199 Sample page from NUMERICAL RECIPES IN C: THE A...

Ngày tải lên: 15/12/2013, 04:15

... ratval(double x, double cof[], int mm, int kk) Given mm , kk ,and cof[0 mm+kk] , evaluate and return the rational function ( cof[0] + cof[1]x + ···+ cof[mm]x mm )/(1 + cof[mm+1]x + ···+ cof[mm+kk]x kk ). { int ... 1981, Seminumerical Algorithms , 2nd ed., vol. 2 of The Art of Computer Programming (Reading, MA: Addison-Wesley), § 4.6. [3] Fike, C.T. 1968, Computer Evaluation of Mathemati...

Ngày tải lên: 24/12/2013, 12:16

... scale” of the function f, or “characteristic scale” over which it changes. In the absence of any other information, one often assumes x c = x (except near x =0where some other estimate of the ... using an additional number n L of points to the left and some number n R of points to the right of each desired x value. The estimated derivative is then the derivative of the resulting...

Ngày tải lên: 24/12/2013, 12:16