REDUCE/Symbolic Scripts

by Dieter (Olli) Egger

Solving equations: algebra.txt
Analyzing functions: analyze.red
- Decide on the function to be analyzed, for example "f:=x**3 - 2*x**2;"
Properties: boolean.txt
Analysis: calculus.txt
Physical constants: establish definitions: constants.red; delete definitions: clear_constants.red
Sine, cosine, tangent: example01.red
Binomials, trigonometry, computational accuracy: example02.red
Simple function analysis: example03.red
Simple derivatives: example04.red
Binomials, rules: example05.red
Nested parentheses: heron.txt
Hypergeometry and MeijerG: hypermeijerg.txt
- Without LaTeX formatting OK.
Integration, limits: integLimit.red
Integration: integral.txt
Introduction: introReduce.txt
Linear algebra: linalg.txt
Matrix inversion: mat.red
Computation of space-time metrics
- Metric-tensor from the equation of the hypersurface of a hypersphere, 2-dim: metric2calc.red, 3-dim: metric3calc.red, 4-dim: metric4calc.red
- Riemann, Ricci, Einstein tensors and solution of the field equations, 2-dim: metric2d.red, 3-dim: metric3d.red, 4-dim: metric4d.red
Dynamic variable names: mkid.txt
Partial fractions: partialFraction.txt
Energy of a photon (requires constants.red and clear_constants.red): photonenergy.txt
Prefix operators: prefix.txt
Programming: programming.txt
Simple rules: rules.red
Definition of a function: scalprod.red
Speed of light: speedoflight.txt