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The Pythagorean theorem has at least 370 known proofs. [1]In mathematics and formal logic, a theorem is a statement that has been proven, or can be proven. [a] [2] [3] The proof of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence of the axioms and previously proved theorems.
Learn the meaning of theorem as a formula, proposition, or statement in mathematics or logic, and see examples of its usage and history. Explore related phrases, synonyms, and dictionary entries for theorem.
Nov 21, 2023 · Learn what a theorem is in mathematics and see examples of common theorems, such as the Pythagorean theorem. Explore how theorems are proved and applied in various fields of study.
- 3 min
- In simple terms, the theorem can be defined as a rule, principle, or statement that can be proved to be true. According to the Oxford dictionary, t...
- The Pythagorean theorem is an example for theorem. It states that the square of the hypotenuse of a right-angled triangle is equal to the sum of th...
- In mathematics, a theorem is defined as a statement that can be proved to be true based on known and proven facts and these known facts may be of m...
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A theorem is a formal statement that can be shown to be true by logic, especially in mathematics. Learn more about the meaning, usage and pronunciation of theorem with examples from the Cambridge English Corpus.
A theorem is a statement that is proved or demonstrated in mathematics or logic. Learn about the history, types and examples of theorems, such as the fundamental theorem of algebra and Ceva's theorem.
- The Editors of Encyclopaedia Britannica
Jul 30, 2024 · A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof. Although not absolutely standard, the Greeks distinguished between "problems" (roughly, the construction of various figures) and "theorems" (establishing the properties of said figures; Heath...
Learn what a theorem is in mathematics, how it is proved, and how it differs from other related terms. See examples of theorems in geometry, algebra, calculus, and more.