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5ce5316a33 2021-03-01 1: # REDUCE/Symbolic Scripts
5ce5316a33 2021-03-01 2: ## by Dieter Egger
3:
4: ### Script Descriptions
5:
6: - Solving equations: `algebra.txt`
7:
8: - Analyzing functions: `analyze.red`
9: - Decide on the function to be analyzed, for example `"f:=x**3 - 2*x**2;"`
10:
11: - Properties: `boolean.txt`
12:
13: - Analysis: `calculus.txt`
14:
15: - Physical constants: establish definitions: constants.red; delete definitions: `clear_constants.red`
16:
17: - Sine, cosine, tangent: `example01.red`
18:
19: - Binomials, trigonometry, computational accuracy: `example02.red`
20:
21: - Simple function analysis: `example03.red`
22:
23: - Simple derivatives: `example04.red`
24:
25: - Binomials, rules: `example05.red`
26:
27: - Nested parentheses: `heron.txt`
28:
29: - Hypergeometry and MeijerG: `hypermeijerg.txt`
30: - Without LaTeX formatting OK.
31:
32: - Integration, limits: `integLimit.red`
33:
34: - Integration: `integral.txt`
35:
36: - Introduction: `introReduce.txt`
37:
38: - Linear algebra: `linalg.txt`
39:
40: - Matrix inversion: `mat.red`
41:
42: - Computation of space-time metrics
43: - Metric-tensor from the equation of the hypersurface of a hypersphere, 2-dim: `metric2calc.red`, 3-dim: `metric3calc.red`, 4-dim: `metric4calc.red`
44: - Riemann, Ricci, Einstein tensors and solution of the field equations, 2-dim: `metric2d.red`, 3-dim: `metric3d.red`, 4-dim: `metric4d.red`
45:
46: - Dynamic variable names: `mkid.txt`
47:
48: - Partial fractions: `partialFraction.txt`
49:
50: - Energy of a photon (requires `constants.red` and `clear_constants.red`): `photonenergy.txt`
51:
52: - Prefix operators: `prefix.txt`
53:
54: - Programming: `programming.txt`
55:
56: - Simple rules: `rules.red`
57:
58: - Definition of a function: `scalprod.red`
59:
60: - Speed of light: `speedoflight.txt`
61:
62: ### Homepage
63:
64: - [DL2MIE](https://dl2mie.darc.de/)
65:
66: ### Links
67:
68: - [Symbolic for Android](https://play.google.com/store/apps/details?id=de.dieteregger.symbolic)
69: - [German Script Homepage](https://reduce-algebra.sourceforge.io/tutorials/EggerScripts.php)
70: - [English Script Homepage](https://reduce-algebra.sourceforge.io/tutorials/EggerScripts.en.php)
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