theorem oor Sjinees

theorem

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(mathematics) A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions . Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas

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定理

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proved mathematical statement
And you can stitch all sorts of mathematical theorems onto these surfaces.
你可以把各种各样的数学定理 都缝在这些上面。
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原理

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法則

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The real analytic theorem was first treated by Nash in 1966; his argument was simplified considerably by Greene & Jacobowitz (1971).
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Fortune showed in 1979 that if any sparse language is co-NP-complete, then P = NP; Mahaney used this to show in 1982 that if any sparse language is NP-complete, then P = NP (this is Mahaney's theorem).
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This definition is elegant and easy to work with abstractly (such as when proving theorems about properties of trees), as it expresses a tree in simple terms: a list of one type, and a pair of two types.
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The theorems are linked to each other in a directed manner by inference rules, forming a sort of dendritic network.
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Requests the Secretary-General to review the experience of the utilization of the contingency fund and to report theorem to the General Assembly at its sixty-second session
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This deduction theorem (DT) is not itself formulated with propositional calculus: it is not a theorem of propositional calculus, but a theorem about propositional calculus.
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Ernst Zermelo introduced the axiom of choice as an "unobjectionable logical principle" to prove the well-ordering theorem.
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Quantum indeterminacy means that these states cannot in general be measured without disturbing the original state (see No cloning theorem).
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This theorem is due to Riesz (1928, VII); see also Titchmarsh (1948, Theorem 101).
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Likewise, given an axiomatization of c that is analogous to C5-7, i may be defined in terms of c, and C5-7 become theorems.
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Niels Henrik Abel, a Norwegian, and Évariste Galois, a Frenchman, proved that there is no general algebraic method for solving polynomial equations of degree greater than four (Abel–Ruffini theorem).
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However, it is the content of the Remak-Krull-Schmidt theorem that given a finite group G = ∑Ai = ∑Bj, where each Ai and each Bj is non-trivial and indecomposable, the two sums have equal terms up to reordering and isomorphism.
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This is to avoid mistaken "theorems", based on fallible intuitions, of which many instances have occurred in the history of the subject.
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Their general formulation depends on splitting the theorem into two parts.
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In 2007, he proved the differentiable sphere theorem (in collaboration with Richard Schoen), a fundamental problem in global differential geometry.
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The theorem was first published in 1927 by Stefan Banach and Hugo Steinhaus but it was also proven independently by Hans Hahn.
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Supposing that they have the same kinetic energy on average (for the equipartition theorem), electrons have a mass roughly 1800 times smaller than protons, therefore they acquire more velocity.
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Therefore, the definition of a theorem in system L is: a theorem is a sequent that can be proved in system L, using an empty set of assumptions.
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Correspondence is also used to show incompleteness of modal logics: suppose L1 ⊆ L2 are normal modal logics that correspond to the same class of frames, but L1 does not prove all theorems of L2.
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Similarly, Bézout's theorem predicts that a line will intersect a conic at two points, but in some cases one or both of the points is infinite and homogeneous coordinates must be used to locate them.
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For this purpose, recall the following theorem: For any ideal I of a Boolean algebra B, the following are equivalent: I is a prime ideal.
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In 2005, the authors of the Boyer-Moore family of provers, which includes ACL2, received the ACM Software System Award "for pioneering and engineering a most effective theorem prover (...) as a formal methods tool for verifying safety-critical hardware and software."
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In 1931 he proved de Rham's theorem, identifying the de Rham cohomology groups as topological invariants.
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Coq is not an automated theorem prover but includes automatic theorem proving tactics and various decision procedures.
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Another important milestone was the work of Hilbert's student Emanuel Lasker, who introduced primary ideals and proved the first version of the Lasker–Noether theorem.
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202 sinne gevind in 6 ms. Hulle kom uit baie bronne en word nie nagegaan nie.