- Fundamental theorem
In

mathematics , there are a number of**fundamental theorems**for different fields. The names are mostly traditional; so that for example the "fundamental theorem of arithmetic" is basic to what would now be callednumber theory .Theorem s may be called "fundamental" because they are results from which further, more complicated theorems follow, without reaching back toaxiom s. The mathematical literature will sometimes refer to the**fundamental lemma**of a field; this is often, but not always, the same as the fundamental theorem of that field."Fundamental Lemmas":

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fundamental lemma of calculus of variations

* fundamental lemma of Langlands and Shelstad"Fundamental Theorems":

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fundamental theorem of algebra

*fundamental theorem of arithmetic

*fundamental theorem of calculus

*fundamental theorem of curves

*fundamental theorem of cyclic groups

* fundamental theorem of surfaces

*fundamental theorem of finitely generated abelian groups

*fundamental theorem of Galois theory

*fundamental theorem on homomorphisms

*fundamental theorem of linear algebra

*fundamental theorem of projective geometry

*fundamental theorem of Riemannian geometry

*fundamental theorem of vector analysis

*fundamental theorem of linear programming There are also a number of fundamental theorems not directly related to mathematics:

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fundamental theorem of arbitrage-free pricing

*Fisher's fundamental theorem of natural selection

*fundamental theorems of welfare economics

* fundamental equations of thermodynamics

*fundamental theorem of poker

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**Fundamental theorem of algebra**— In mathematics, the fundamental theorem of algebra states that every non constant single variable polynomial with complex coefficients has at least one complex root. Equivalently, the field of complex numbers is algebraically closed.Sometimes,… … Wikipedia**Fundamental theorem of calculus**— The fundamental theorem of calculus specifies the relationship between the two central operations of calculus, differentiation and integration.The first part of the theorem, sometimes called the first fundamental theorem of calculus, shows that… … Wikipedia**Fundamental theorem of arithmetic**— In number theory, the fundamental theorem of arithmetic (or unique prime factorization theorem) states that every natural number greater than 1 can be written as a unique product of prime numbers. For instance, : 6936 = 2^3 imes 3 imes 17^2 , ,! … Wikipedia**Fundamental theorem of Galois theory**— In mathematics, the fundamental theorem of Galois theory is a result that describes the structure of certain types of field extensions.In its most basic form, the theorem asserts that given a field extension E / F which is finite and Galois,… … Wikipedia**Fundamental theorem of poker**— The fundamental theorem of poker is a principle first articulated by David Sklansky that he believes expresses the essential nature of poker as a game of decision making in the face of incomplete information. The Fundamental Theorem is stated in… … Wikipedia**Fundamental theorem of arbitrage-free pricing**— In a general sense, the fundamental theorem of arbitrage/finance is a way to relate arbitrage opportunities with risk neutral measures that are equivalent to the original probability measure.The fundamental theorem in a finite state marketIn a… … Wikipedia**Fundamental theorem of Riemannian geometry**— In Riemannian geometry, the fundamental theorem of Riemannian geometry states that on any Riemannian manifold (or pseudo Riemannian manifold) there is a unique torsion free metric connection, called the Levi Civita connection of the given metric … Wikipedia**Fundamental theorem on homomorphisms**— In abstract algebra, the fundamental theorem on homomorphisms, also known as the fundamental homomorphism theorem, relates the structure of two objects between which a homomorphism is given, and of the kernel and image of the homomorphism.The… … Wikipedia**Fundamental theorem of combinatorial enumeration**— The fundamental theorem of combinatorial enumeration is a theorem in combinatorics that solves the enumeration problem of labelled and unlabelled combinatorial classes. The unlabelled case is based on the Pólya enumeration theorem.This theorem is … Wikipedia**Fundamental theorem of cyclic groups**— In abstract algebra, the fundamental theorem of cyclic groups states that if G, is a cyclic group of order n, then every subgroup of G, is cyclic. Moreover, the order of any subgroup of G, is a divisor of n, and for each positive divisor k, of n … Wikipedia