Use ‘theorem’ in a sentence | ‘theorem’ example sentences
51- theorem 2: If there is an injective compact operator in ; then the operators can be simultaneously (unitarily) diagonalised.
52- “, which compares the theorem to a steep cliff that no ladder may help scale and asks how many would-be geometers have been turned away.
53- False disproofs The four color theorem has been notorious for attracting a large number of false proofs and disproofs in its long history.
54- This gives a near optimal low-rank approximation of with the objective function : Error bounds similar to Eckard-Young theorem also exist.
55- Dlab Ringel (1973) found a generalization of Gabriel’s theorem in which all Dynkin diagrams of finite dimensional semisimple Lie algebras occur.
56- The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
57- Proof Assume the existence of as described in the statement of the theorem, that is : with : Also, assume that is of lowest possible order/degree.
58- For example, a lower bound theorem might assume a particular abstract machine model, as in the case of comparison sorts, or a particular organization of memory.
59- Heine-Cantor theorem The fact that a continuous function on a compact interval I is necessarily uniformly continuous (the Heine-Cantor theorem ) admits a succinct hyperreal proof.
60- This is a special case of Fermat’s little theorem.
61- See Klein transformation on how to patch up a loophole in the theorem.
62- Kannan’s theorem states that for any k, is not contained in SIZE(n k ).
63- Second Szegő theorem The second (or strong) Szegő theorem Szegő, G. (1952).
64- The proof of (1) is as in Gödel’s proof of the first incompleteness theorem.
65- “The Classical theorem on Existence of Competitive Equilibrium”, Econometrica.
66- E is a modern, high performance theorem prover for full first-order logic with equality.
67- Proof of Wiener’s theorem The proof is based on approximations using continued fractions.
68- Bibliography * Miquel’s theorem and the double six, Proceedings of the London Mathematical Society, 1918.
69- Therefore (0, 1, 0) is the point of intersection counted with multiplicity 2 in agreement with the theorem.
70- Lie’s third theorem states that every bundle of Lie algebras can locally be integrated to a bundle of Lie groups.
71- On Gödel’s theorem and Mechanism: Inconsistency or Unsoundness is Unavoidable in any Attempt to ‘Out-Gödel’ the Mechanist.
72- Nim-sequence The Sprague-Grundy theorem implies that a heap of size n is equivalent to a nim heap of a given size, usually noted G(n).
73- Von Neumann’s formulas Suppose A is symmetric; any symmetric extension of A is a restriction of A*; Indeed if B is symmetric : theorem.
74- The Thom Isomorphism theorem in this regard can be considered as the germinal idea for Poincaré duality for generalized homology theories.
75- Therefore, Conway’s Game of Life is not locally injective, and the Garden of Eden theorem implies that it has a Garden of Eden configuration.
76- Well known results like the representation theorem for Boolean algebras and Stone duality fall under the umbrella of classical algebraic logic.
77- Hence Marcinkiewicz’s theorem shows that it is bounded from to for any 1 < p < 2. Duality arguments show that it is also bounded for 2 < p < ∞. 78- Example Like the second recursion theorem, the first recursion theorem can be used to obtain functions satisfying systems of recursion equations.
79- This level is a consequence of the Atiyah-Singer index theorem and is half-filled in neutral graphene, leading to the “+1/2” in the Hall conductivity.
80- Since any natural number can be factored into powers of primes, the four-square theorem holds for all natural numbers if it is true for all prime numbers.
81- Several physics concepts are named after him, e.g. Nielsen-Olesen Vortex and the Nielsen-Ninomiya no-go theorem for representing chiral fermions on the lattice.
82- Kronecker thought that this generalization was a special case of a still more general theorem, which would be applicable to equations of arbitrarily high degree.
83- Carleson’s original proof is exceptionally hard to read, and although several authors have simplified the argument there are still no easy proofs of his theorem.
84- theorem 2. If G is K 5 -free, then G can be obtained via 3-clique-sums from a list of planar graphs, and copies of one special non-planar graph having 8-vertices.
85- “The genius of this joke is a child can laugh at it, but those who understand the allusion to Charles Dickens and the infinite monkey theorem can laugh on another level.
86- Formal proofs Main article: Formal proof A formal proof is a sequence of well-formed formulas of a formal language, the last one of which is a theorem of a formal system.
87- Self-duality By definition, two triangles are perspective if and only if they are in perspective centrally (or, equivalently according to this theorem, in perspective axially).
88- Second Fundamental theorem of Welfare Economics While every equilibrium is efficient, it is clearly not true that every efficient allocation of resources will be an equilibrium.
89- Coasian or Coasean may refer to: * Coase theorem (e.
90- “Basu’s theorem with Applications: A Personalistic Review”.
91- theorem 2. Nash equilibrium in undominated strategies exists.
92- Proof: We will use infinite Ramsey theorem to prove this theorem.
93- Acyclic classes Then there is the grand theorem that unifies them all.
94- A plane in which Pappus’s theorem is universally true is called Pappian.
95- The Reeb Local Stability theorem also has a version for a noncompact leaf.
96- Pierre De Fermat invented Fermat’s Last theorem which lacked proof till 1995.
97- Brouwer’s fixed point theorem, perhaps the most important fixed point theorem.
98- Oka continued to work in the field, and proved Oka’s coherence theorem in 1950.
99- References * Brown, Morton (1960), A proof of the generalized Schoenflies theorem.
100- Harish-Chandra (1978, 1999) proved a similar theorem for semisimple p-adic groups.
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theologian – theologians – theological – theologically – theologies – theology – liberation theology – theorem – theorems – Pythagoram theorem – theoretic – theoretical – theoretically – theoretician – theoreticians –
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