ENCYCOPEDIA OF MATERIALS CHARACTERIZATION SURFACES INTERFACES THIN FILMS C BRUNDLE ET AL BH 1992 WW PART 10 PDF

order within each subset. This side effect is at best innocuous, at worst downrightinconvenient. When thearray is verylong,so thatmaking ascratch copyofit istaxingon memory, or when the computational burden of the selection is a negligible partof a larger calculation, one turns to selection algorith[r]

selection methods by a factor of about 10. We give routines of both types, below.The most common use of selection is in the statistical characterization of a setof data. One often wants to know the median element in an array, or the top andbottom quartile elements. When N is odd, the median i[r]

do not have to understand this; just use the values of jinit and jrev specified inthe table. (If you insist on knowing, the explanation is that serial data ports sendcharacters least-significant bit first (!), and many protocols shift bits into the CRCregister in exactly the order received.) The table[r]

Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. Permission is granted for internet users to make one[r]

5.2 Evaluation of Continued Fractions169Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. Permission is[r]

}The fourth and fifth steps are accomplished by the routines chebpc and pcshft,respectively. Here is how the procedure looks all together:200Chapter 5. Evaluation of FunctionsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-[r]

2N.The trick is to use the associativity of XOR and group the operations hierarchically.This involves sequential right-shifts by 1, 2, 4, 8, bits until the wordlength is896Chapter 20. Less-Numerical AlgorithmsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521[r]

,k2)])= FFT-on-index-2(FFT-on-index-1[h(k1,k2)])(12.4.2)522Chapter 12. Fast Fourier TransformSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-[r]

or else they will grow old and die, and then your hypothesis will become accepted.Sounds crazy, we know, but that’s how science works!In this book we make a somewhat arbitrary distinction between data analysisprocedures that are model-independent and those that are model-dependent.Intheformer catego[r]

Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. Permission is granted for internet users to make one[r]

,k2)])= FFT-on-index-2(FFT-on-index-1[h(k1,k2)])(12.4.2)522Chapter 12. Fast Fourier TransformSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-[r]

k−1= h2f (x0+ kh, yk),k=1, ,m−1zm=(ym−ym−1)/h +12hf(x0+ H,ym)(16.5.2)16.5 Second-Order Conservative Equations733Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright[r]

dydx[1 nvar]. Also input is htot, the total step to be made, and nstep,thenumber of substeps to be used. The output is returned asyout[1 nvar], which need notbe a distinct array fromy; if it is distinct, however, then y and dydx are returned undamaged.{int n,i;float x,swap,h2,h,*ym,*yn;724Chapter 16[r]

stores intermediate results, and generally acts as an interface with the user. There isnothing at all canonical about our driver routines. You should consider them to beexamples, and you can customize them for your particular application.Of the routinesthat follow, rk4, rkck, mmid, stoerm,andsimpr a[r]

722Chapter 16. Integration of Ordinary Differential EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes So[r]

“adaptive” choices of stepsize. We will not, therefore, develop that material here.If the function that you propose to integrate is sharply concentrated in one or morepeaks, or if its shape is not readily characterized by a single length-scale, then itis likely that you should cast the problem in th[r]

}for (i=1;i<=neqns;i++) { Last step.n=neqns+i;yout[n]=ytemp[n]/h+halfh*yout[i];yout[i]=ytemp[i];}free_vector(ytemp,1,nv);}734Chapter 16. Integration of Ordinary Differential EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright[r]

newbit = (*iseed >> 17) & 1 Get bit 18.^ (*iseed >> 4) & 1 XOR with bit 5.^ (*iseed >> 1) & 1 XOR with bit 2.^ (*iseed & 1); XOR with bit 1.*iseed=(*iseed << 1) | newbit; Leftshift the seed and put the result of[r]

the third linear equation in our original set and multiply it by a factor of a million, itis almost guaranteed that it will contribute the first pivot; yet the underlying solutionof the equations is not changed by this multiplication! One therefore sometimes seesroutines which choose as pivot that el[r]

indxc[i], the column of the ith pivot element, is the ith column that is reduced, whileindxr[i] is the row in which that pivot element was originally located. If indxr[i] =indxc[i] there is an implied column interchange. With this form of bookkeeping, thesolution b’s will end up in the correct orde[r]