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This is a list of notable theorems. Lists of theorems and similar statements include: List of algebras; List of algorithms; List of axioms; List of conjectures; List of data structures; List of derivatives and integrals in alternative calculi; List of equations; List of fundamental theorems; List of hypotheses; List of inequalities; Lists of ...
Euler's theorem; Five color theorem; Five lemma; Fundamental theorem of arithmetic; Gauss–Markov theorem (brief pointer to proof) Gödel's incompleteness theorem. Gödel's first incompleteness theorem; Gödel's second incompleteness theorem; Goodstein's theorem; Green's theorem (to do) Green's theorem when D is a simple region; Heine–Borel ...
In mathematics, a fundamental theorem is a theorem which is considered to be central and conceptually important for some topic. For example, the fundamental theorem of calculus gives the relationship between differential calculus and integral calculus . [ 1 ]
Beal's conjecture: for all integral solutions to + = where ,, >, all three numbers ,, must share some prime factor. Congruent number problem (a corollary to Birch and Swinnerton-Dyer conjecture , per Tunnell's theorem ): determine precisely what rational numbers are congruent numbers .
Pages in category "Mathematical theorems" The following 44 pages are in this category, out of 44 total. This list may not reflect recent changes. A. Additive ...
Pages in category "Theorems in algebra" The following 32 pages are in this category, out of 32 total. This list may not reflect recent changes. A. Abel's binomial ...
Pythagorean theorem: It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and the hypotenuse c, sometimes called the Pythagorean equation: [6]
This category includes theorems on the foundational aspects of mathematics, including: mathematical logic, model theory, set theory, some general topology and category theory. Subcategories This category has only the following subcategory.