FRACTAL GEOMETRY MatLab in example   Functions: moviein, movie;   Animation 1   Functions: set, drawnow;   Animation 2   Functions: polyfit, polyval;   APROCSIM   Functions: ode23, ode23s, ode45...;   BALL1 and BALL2   Functions: euler;   EULER   Functions: repmat, repmat, spdiags;   FEMODE   Functions: interp1;   INTERPOL   Functions: abs, sqrt, exp, cos, sin   LAMBDA   Functions: y(0) = 0, y(11pi/2)+y'(11pi/2) = -1, -sin(x)   sinx   Functions: 5*cos(2*t)/(t+1)^2*y(3)-y(2)-1/(3+sin(t))*y(1)+cos(t)   ODE3   Functions: [-0.04*y(1,:)+1e4*y(2,:).*y(3,:)         0.04*y(1,:)-1e4*y(2,:).*y(3,:)-3e7*y(2,:).^2         y(1,:)+y(2,:)+y(3,:)-1 ];     ROBDAE   Functions: yp = vdp1(t,y)       yp=[y(2);(1-y(1)^2)*y(2)-y(1)];   VANDP 1 and VANDP 2 MatCad in example Numerical Methods:   y'=f(x.y) - Oiler   y'=f(x.y) - Runge-Kutta   Oiler   y''=F(x,y,z)->(z=y') - Runge-Kutta   Runge-Kutta Statistics:   Scatterplots of Residuals   Equations for Normal Plot   Equations for the Durbin-Watson statistic   Equations for Normal Plot   Program for listing standardized residuals   Program for Cook's Distance   Prediction Interval for Multiple Regression   Cross Validation   Equations for listing standardized residuals   Equations for listing Mahalanobis's Distances   Equations for Cook's Distance   Data Transformations   Correcting Nonnormality   Equations for Double Exponential Smoothing   Equations for Forecast Errors   Equations for Box's M Test for Equality of Variance-Covariance Matrices   Equations for Test of Significance for Discriminant Coefficients   Selecting a Random   Box-and-Whiskers   Equations for Analysis of Variance Table Multiple Regression   Equations for Ratio to Moving Average Method of Forecasting   Equations for Two Group Discriminant Analysis   Equations for Smoothing with Running Medians   Equations for Simple Logistic Regression   Equations for Intrinsically Nonlinear Model   Equations for Intrinsically Linear Multiplicative Model   Equations for Polynomial Regression   Equations for Variance Inflation Factor   Equations for Table of Regression Coefficients   Prediction Bands   Equations for Analysis of Variance Table Simple Linear Regression   Program for Cook's Distance   Test for Possible Linearity   Bootstrap Estimate for the Standard Error   Confidence Interval for sigma^2   Confidence Interval - Unknown   Confidence Interval - Known   Detecting Non-normality   Pie Chart   Non-Categorical Data   Categorical Data

Algebric Functions
Bessel
Bessel Functions Jn(X) - table
Fourier series 1
Fourier series 2
Laplace transforms 1
Laplace transforms 2
Bessel Functions – Integrals
Surface Zonal Harmonics – Int
Function – Derivatives
Function – Integrals

Integrals Involving:

x = ax2 + bx + c
a3 +/- x3
x1/2
x1/2 = (a+bx)1/2
x1/2 = (a+bx)1/2 and u1/2 = (f+gx)1/2
r = (x2 + a2)1/2
s = (x2 - a2)1/2
x1/2 = (ax2 + bx + c)1/2
x = a + bx
Linear Factors
x = a2 + x2
x = a2 - x2

Trigonometric functions
Inverse Trigonometric Function
Inverse Trigonometric Function - Derivates
InverseTrigonometricFunction - Integrals(a>0)
Exponential Function

Trigonometric Integrals Involving:

sin(x)
cos(x)
sin(x) and cos (x)
sin(x) and cos (a)
tan(x)
ctn(x)
sinh(x) and cosh(x)
tanh(x) and ctnh(x)

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Inverse Hyperbolic Functions
Inverse Hyperbolic Functions – Derivates and Integral
Elliptic Functions
Elliptic Functions - Derivates and Integral
Bessel Functions
Spherical Bessel Functions
Properties of the Derivative
Definite Integrals Associated with Gaussian Distributions
Definite Integrals of the Squares of Trig Functions
First Order Non-homogeneous Differential Equation
Indefinite Integrals of Common Algebraic Forms
Derivatives of Common Functions
Binomial Distribution
Functions for Statistics
The Gamma Function
Indefinite Integrals of Exponents and Logs
Indefinite Integrals of Trigonometric Functions
Integration by Parts
Legendre Polynomials
Associated Legendre Functions
Natural Log Series
The Mean of the Binomial Distribution
Permutations and Combinations
Permutations
Basic Probability
Standard Deviation for Particle Position
Stirling's Approximation for n!
Calculators and the Gamma Function
The Lanczos Approximation
Stirling's Formula
The Incomplete Gamma Function

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