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Some steps towards a theory of expressions

Colignatus, Thomas


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{
  "description": "<p>The mathematical \"theory of expressions\" better be developed in a general fashion, so that it can be referred to in various applications. The paper discusses an example when there is a confusion between syntax (unevaluated) and semantics (evaluated), when substitution causes a contradiction. However, education should not wait till such a mathematical theory of expressions is fully developed. Computer algebra is sufficiently developed to support and clarify these issues. Fractions <em>y</em> / <em>x</em> can actually be abolised and replaced with <em>y</em> <em>x</em><sup><em>H</em></sup> with <em>H</em> = -1 as a constant like exponential number <em>e</em> or imaginary number <em>i</em>.</p>", 
  "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/legalcode", 
  "creator": [
    {
      "affiliation": "Samuel van Houten Genootschap", 
      "@type": "Person", 
      "name": "Colignatus, Thomas"
    }
  ], 
  "headline": "Some steps towards a theory of expressions", 
  "image": "https://zenodo.org/static/img/logos/zenodo-gradient-round.svg", 
  "citation": [
    {
      "@id": "https://doi.org/10.5281/zenodo.291979", 
      "@type": "CreativeWork"
    }, 
    {
      "@id": "https://doi.org/10.5281/zenodo.292244", 
      "@type": "CreativeWork"
    }, 
    {
      "@id": "https://doi.org/10.5281/zenodo.292247", 
      "@type": "CreativeWork"
    }
  ], 
  "datePublished": "2017-03-06", 
  "url": "https://zenodo.org/record/346001", 
  "keywords": [
    "Expression, fraction, syntax, semantics, substitution, numerator, denominator, H, computer algebra, Mathematica, mathematics education"
  ], 
  "@context": "https://schema.org/", 
  "identifier": "https://doi.org/10.5281/zenodo.346001", 
  "@id": "https://doi.org/10.5281/zenodo.346001", 
  "@type": "ScholarlyArticle", 
  "name": "Some steps towards a theory of expressions"
}
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