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Equation vs Theorem - What's the difference?

equation | theorem |

In mathematics terms the difference between equation and theorem

is that equation is (assertion) An assertion that two expressions are equal, expressed by writing the two expressions separated by an equal sign; from which one is to determine a particular quantity while theorem is a mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas

As a verb theorem is

to formulate into a theorem.

equation

Alternative forms

* (archaic)

Noun

(en noun)
  • (senseid)(mathematics) An assertion that two expressions are equal, expressed by writing the two expressions separated by an equal sign; from which one is to determine a particular quantity.
  • (astronomy) A small correction to observed values to remove the effects of systematic errors in an observation.
  • Derived terms

    (Derived terms) * algebraic equation * Arrhenius equation * chemical equation * differential equation * Diophantine equation * Drake equation * integral equation * Kepler's equation * Lagrange's equations * linear equation * Navier-Stokes equation * parametric equation * partial differential equation * Pell's equation * personal equation * polynomial equation * quadratic equation * * Van der Waals equation * wave equation

    theorem

    English

    Noun

    (en noun)
  • (mathematics) A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions''. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called ''lemmas
  • (mathematics, colloquial, nonstandard) A mathematical statement that is expected to be true; as, (as which it was known long before it was proved in the 1990s.)
  • (logic) a syntactically correct expression that is deducible from the given axioms of a deductive system
  • Synonyms

    * (proven statement): lemma, proposition, statement * (unproven statement): conjecture * See also

    Holonyms

    * theory

    Derived terms

    * central limit theorem * Pythagorean theorem * binomial theorem * * intercept theorem

    Verb

    (en verb)
  • to formulate into a theorem