Dictionary

fundamental theorem en · NOUN

Meanings

1. A theorem (or, in non-mathematical fields, a commonly accepted hypothesis) considered to be of central importance to a specified field.
   • There are two fundamental theorems of calculus. Both relate differentiation to integration. In most calculus courses, the Second Fundamental Theorem is usually proved first and then used to prove the First Fundamental Theorem. Unfortunately, this results in a First Fundamental Theorem that is weaker than it could be. 2012, Joseph L. Taylor, Foundations of Analysis, American Mathematical Society, page 114:
   • In this and the next chapter I return to the fundamental theorems of welfare economics. In this chapter I argue that the first fundamental theorem of welfare economics—asserting the efficiency of competitive economics—is fundamentally flawed. 1994, Joseph E. Stiglitz, Whither Socialism?, The MIT Press, page 27:
   • The first fundamental theorem of calculus states that the differentiation and integration are inverse operations: if a continuous function is first integrated and then differentiated, the original function is obtained[…]. 2010, Vasily E. Tarasov, Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media, Springer, page 247:

Forms

Relateds

fundamental lemma

Translations (10)

pt teorema fundamental (fundamental theorem) · de Hauptsatz (fundamental theorem) · ca teorema fonamental (fundamental theorem) · es teorema fundamental (fundamental theorem) · fr théorème fondamental (fundamental theorem) · la theōrēma fundāmentāle (fundamental theorem) · de Fundamentalsatz (fundamental theorem) · it teorema fondamentale (fundamental theorem) · eo fundamenta teoremo (fundamental theorem) · nl hoofdstelling (fundamental theorem)