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olli-scripts: Dieter (Olli) Egger's REDUCE/Symbolic scripts, used as demonstrations for Symbolic (as shown in the screenshots on Google Play), and relating to Dieter's research in curved space-time, with scientific background papers, automatically mirrored from https://reduce-algebra.sourceforge.io/tutorials/EggerScripts.en.php

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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


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Author

  • DL2MIE - Dieter (Olli) Egger's Homepage

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About

olli-scripts: Dieter (Olli) Egger's REDUCE/Symbolic scripts, used as demonstrations for Symbolic (as shown in the screenshots on Google Play), and relating to Dieter's research in curved space-time, with scientific background papers, automatically mirrored from https://reduce-algebra.sourceforge.io/tutorials/EggerScripts.en.php

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