Mathematics Is Fun: July 2011

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9.5 Roots of Polynomials

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362. Chapter 9. Root Finding and Nonlinear Sets of Equations. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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Chapter 6. Special Functions

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Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X). Copyright (C) 1986-1992 by Cambridge University ...
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14.5 Linear Correlation

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630. Chapter 14. Statistical Description of Data. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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Chapter 15. Modeling of Data

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11.1 Jacobi Transformations of a Symmetric Matrix

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456. Chapter 11. Eigensystems. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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6.12 Hypergeometric Functions

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6.12 Hypergeometric Functions. 263. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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Chapter 5. Evaluation of Functions

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Chapter 12. Fast Fourier Transform

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3.5 Coefficients of the Interpolating Polynomial

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3.5 Coefficients of the Interpolating Polynomial. 113. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X ...
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Chapter 16. Integration of Ordinary Differential Equations

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2.1 Gauss-Jordan Elimination

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2.1 Gauss-Jordan Elimination. 27. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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11.4 Hermitian Matrices

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11.4 Hermitian Matrices. 475. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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Chapter 10. Minimization or Maximization of Functions

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6.5 Bessel Functions of Integer Order

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6.5 Bessel Functions of Integer Order. 223. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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11.3 Eigenvalues and Eigenvectors of a Tridiagonal Matrix

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11.3 Eigenvalues and Eigenvectors of a Tridiagonal Matrix. 469. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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12.2 Fast Fourier Transform (FFT)

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498. Chapter 12. Fast Fourier Transform. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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15.5 Nonlinear Models

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15.5 Nonlinear Models. 675. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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13.2 Correlation and Autocorrelation Using the FFT

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538. Chapter 13. Fourier and Spectral Applications. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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15.4 General Linear Least Squares

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15.4 General Linear Least Squares. 665. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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13.1 Convolution and Deconvolution Using the FFT

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13.1 Convolution and Deconvolution Using the FFT. 531. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X ...
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5.12 Pad´e Approximants

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194. Chapter 5. Evaluation of Functions. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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7.6 Simple Monte Carlo Integration

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7.6 Simple Monte Carlo Integration. 295. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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2.10 QR Decomposition

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2.10 QR Decomposition. 91. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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6.1 Gamma Function, Beta Function, Factorials, Binomial Coefficients

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206. Chapter 6. Special Functions. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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13.8 Spectral Analysis of Unevenly Sampled Data

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13.8 Spectral Analysis of Unevenly Sampled Data. 569. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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20.4 Huffman Coding and Compression of Data

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896. Chapter 20. Less-Numerical Algorithms. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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7.4 Generation of Random Bits

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7.4 Generation of Random Bits. 287. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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12.3 FFT of Real Functions, Sine and Cosine Transforms

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504. Chapter 12. Fast Fourier Transform. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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10.1 Golden Section Search in One Dimension

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390. Chapter 10. Minimization or Maximization of Functions. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN ...
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4.4 Improper Integrals

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4.4 Improper Integrals. 135. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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7.1 Uniform Deviates

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7.1 Uniform Deviates. 267. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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7.2 Transformation Method: Exponential and Normal Deviates

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7.2 Transformation Method: Exponential and Normal Deviates. 277. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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10.4 Downhill Simplex Method in Multidimensions

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402. Chapter 10. Minimization or Maximization of Functions. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN ...
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3.2 Rational Function Interpolation and Extrapolation

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104. Chapter 3. Interpolation and Extrapolation. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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4.2 Elementary Algorithms

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130. Chapter 4. Integration of Functions. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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Chapter 4. Integration of Functions

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Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X). Copyright (C) 1986-1992 by Cambridge University ...
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5.2 Evaluation of Continued Fractions

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5.2 Evaluation of Continued Fractions. 163. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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4.1 Classical Formulas for Equally Spaced Abscissas

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124. Chapter 4. Integration of Functions. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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8.1 Straight Insertion and Shell's Method

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8.1 Straight Insertion and Shell's Method. 321. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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7.7 Quasi- (that is, Sub-) Random Sequences

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7.7 Quasi- (that is, Sub-) Random Sequences. 299. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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1.1 Program Organization and Control Structures

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1.1 Program Organization and Control Structures. 5. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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15.6 Confidence Limits on Estimated Model Parameters

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684. Chapter 15. Modeling of Data. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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Chapter 14. Statistical Description of Data

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Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X). Copyright (C) 1986-1992 by Cambridge University ...
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20.3 Cyclic Redundancy and Other Checksums

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888. Chapter 20. Less-Numerical Algorithms. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...

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5.7 Numerical Derivatives

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180. Chapter 5. Evaluation of Functions. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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19.6 Multigrid Methods for Boundary Value Problems

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862. Chapter 19. Partial Differential Equations. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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6.7 Bessel Functions of Fractional Order, Airy Functions ...

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234. Chapter 6. Special Functions. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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13.7 Power Spectrum Estimation by the Maximum Entropy (All Poles ...

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13.7 Maximum Entropy (All Poles) Method. 565. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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14.4 Contingency Table Analysis of Two Distributions

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622. Chapter 14. Statistical Description of Data. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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Chapter 1. Preliminaries

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Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X). Copyright (C) 1986-1992 by Cambridge University ...
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11.2 Reduction of a Symmetric Matrix to Tridiagonal Form: Givens ...

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462. Chapter 11. Eigensystems. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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12.1 Fourier Transform of Discretely Sampled Data

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494. Chapter 12. Fast Fourier Transform. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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5.13 Rational Chebyshev Approximation

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5.13 Rational Chebyshev Approximation. 197. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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10.8 Linear Programming and the Simplex Method

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10.8 Linear Programming and the Simplex Method. 423. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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19.5 Relaxation Methods for Boundary Value Problems

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854. Chapter 19. Partial Differential Equations. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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4.6 Multidimensional Integrals

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4.6 Multidimensional Integrals. 155. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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10.5 Direction Set (Powell's) Methods in Multidimensions

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406. Chapter 10. Minimization or Maximization of Functions. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN ...
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17.1 The Shooting Method

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17.1 The Shooting Method. 749. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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9.1 Bracketing and Bisection

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9.1 Bracketing and Bisection. 343. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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17.5 Automated Allocation of Mesh Points

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774. Chapter 17. Two Point Boundary Value Problems. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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8.3 Heapsort

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8.3 Heapsort. 327. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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2.6 Singular Value Decomposition

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2.6 Singular Value Decomposition. 51. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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14.7 Do Two-Dimensional Distributions Differ?

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640. Chapter 14. Statistical Description of Data. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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16.4 Richardson Extrapolation and the Bulirsch-Stoer Method

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718. Chapter 16. Integration of Ordinary Differential Equations. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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5.6 Quadratic and Cubic Equations

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178. Chapter 5. Evaluation of Functions. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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8.5 Selecting the Mth Largest

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8.5 Selecting the Mth Largest. 333. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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6.11 Elliptic Integrals and Jacobian Elliptic Functions

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254. Chapter 6. Special Functions. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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Numerical Recipes

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by FN Recipes - 1986 - Cited by 3 - Related articles
Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X). Copyright (C) 1986-1992 by Cambridge University ...
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17.3 Relaxation Methods

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17.3 Relaxation Methods. 753. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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5.4 Complex Arithmetic

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5.4 Complex Arithmetic. 171. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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References

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Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X). Copyright (C) 1986-1992 by Cambridge University ...
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5.10 Polynomial Approximation from Chebyshev Coefficients

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5.10 Polynomial Approximation from Chebyshev Coefficients. 191. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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11.6 The QR Algorithm for Real Hessenberg Matrices

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480. Chapter 11. Eigensystems. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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14.2 Do Two Distributions Have the Same Means or Variances?

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14.2 Do Two Distributions Have the Same Means or Variances? 609. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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16.3 Modified Midpoint Method

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716. Chapter 16. Integration of Ordinary Differential Equations. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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3.3 Cubic Spline Interpolation

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3.3 Cubic Spline Interpolation. 107. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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3.4 How to Search an Ordered Table

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110. Chapter 3. Interpolation and Extrapolation. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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Chapter 2. Solution of Linear Algebraic Equations

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Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X). Copyright (C) 1986-1992 by Cambridge University ...
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1.2 Error, Accuracy, and Stability

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18. Chapter 1. Preliminaries. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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3.6 Interpolation in Two or More Dimensions

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116. Chapter 3. Interpolation and Extrapolation. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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17.6 Handling Internal Boundary Conditions or Singular Points

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17.6 Handling Internal Boundary Conditions or Singular Points. 775. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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10.3 One-Dimensional Search with First Derivatives

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10.3 One-Dimensional Search with First Derivatives. 399. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN ...
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16.6 Stiff Sets of Equations

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16.6 Stiff Sets of Equations. 727. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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9.6 Newton-Raphson Method for Nonlinear Systems of Equations

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372. Chapter 9. Root Finding and Nonlinear Sets of Equations. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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4.3 Romberg Integration

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134. Chapter 4. Integration of Functions. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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16.7 Multistep, Multivalue, and Predictor-Corrector Methods

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740. Chapter 16. Integration of Ordinary Differential Equations. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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13.9 Computing Fourier Integrals Using the FFT

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13.9 Computing Fourier Integrals Using the FFT. 577. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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12.5 Fourier Transforms of Real Data in Two and Three Dimensions

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12.5 Fourier Transforms of Real Data in Two and Three Dimensions. 519. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING ...
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2.7 Sparse Linear Systems

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2.7 Sparse Linear Systems. 63. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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Chapter 18. Integral Equations and Inverse Theory

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Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X). Copyright (C) 1986-1992 by Cambridge University ...
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7.8 Adaptive and Recursive Monte Carlo Methods

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306. Chapter 7. Random Numbers. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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5.5 Recurrence Relations and Clenshaw's Recurrence Formula

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172. Chapter 5. Evaluation of Functions. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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License Information

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Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X). Copyright (C) 1986-1992 by Cambridge University ...
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2.3 LU Decomposition and Its Applications

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34. Chapter 2. Solution of Linear Algebraic Equations. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X ...
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8.4 Indexing and Ranking

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8.4 Indexing and Ranking. 329. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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Chapter 7. Random Numbers

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Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X). Copyright (C) 1986-1992 by Cambridge University ...
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2.8 Vandermonde Matrices and Toeplitz Matrices

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82. Chapter 2. Solution of Linear Algebraic Equations. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X ...
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6.9 Fresnel Integrals, Cosine and Sine Integrals

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248. Chapter 6. Special Functions. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...
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9.3 Van Wijngaarden–Dekker–Brent Method

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352. Chapter 9. Root Finding and Nonlinear Sets of Equations. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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13.3 Optimal (Wiener) Filtering with the FFT

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13.3 Optimal (Wiener) Filtering with the FFT. 539. Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) ...

Jul 24, 2011