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
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