# REDUCE/Symbolic Scripts

## by Dieter (Olli) Egger

### Script Descriptions

• 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`

### Author

• DL2MIE - Dieter (Olli) Egger's Homepage