List of theorems information

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...

the fundamental theorem of arithmetic is basic to what would now be called number theory. Some of these are classification theorems of objects which are...

called a theorem is a proved result that is not an immediate consequence of other known theorems. Moreover, many authors qualify as theorems only the...

proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major impetus for the development of computer science...

This is a list of misnamed theorems in mathematics. It includes theorems (and lemmas, corollaries, conjectures, laws, and perhaps even the odd object)...

by subject List of rules of inference List of theorems List of theorems called fundamental List of unsolved problems in mathematics Table of mathematical...

mathematics, specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician...

is a list of lemmas (or, "lemmata", i.e. minor theorems, or sometimes intermediate technical results factored out of proofs). See also list of axioms...

There are two fundamental theorems of welfare economics. The first states that in economic equilibrium, a set of complete markets, with complete information...

been keeping a ranking of proof assistants by the amount of formalized theorems out of a list of 100 well-known theorems. As of September 2023, only five...

Sylow theorems Transcendence of e and π (as corollaries of Lindemann–Weierstrass) Tychonoff's theorem (to do) Ultrafilter lemma Ultraparallel theorem Urysohn's...

as above. QED There are various slightly different theorems called the second mean value theorem for definite integrals. A commonly found version is...

Probability Theory. New York: Macmillan. pp. 13–28. Formal definition of probability in the Mizar system, and the list of theorems formally proved about it....

List of representations of e List of inequalities List of lemmas List of mathematical identities List of mathematical proofs List of theorems List of...

search for the term, in double quotes as of September 2022[update]. The conjecture terminology may persist: theorems often enough may still be referred to...

set", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Formal definition of Borel Sets in the Mizar system, and the list of theorems Archived 2020-06-01...

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each...

List of paradoxes – List of statements that appear to contradict themselves List of scientific laws named after people List of theorems Scientific phenomena...

theorem may refer to: Any of many theorems related to the circle; often taught as a group in GCSE mathematics. These include: Inscribed angle theorem...

of the first known proofs of theorems in geometry. Eudoxus (408–355 BCE) and Theaetetus (417–369 BCE) formulated theorems but did not prove them. Aristotle...

Several theorems are named after Karl Weierstrass. These include: The Weierstrass approximation theorem, of which one well known generalization is the...

mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states...

In mathematics, comparison theorems are theorems whose statement involves comparisons between various mathematical objects of the same type, and often occur...