Meaning of fundamental theorem | Babel Free

Definitions

A theorem (or, in non-mathematical fields, a commonly accepted hypothesis) considered to be of central importance to a specified field.

Equivalents

Examples

“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.”

“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[…].”

“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.”

CEFR level