theorem in a sentence 2

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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Related Words:
theologiantheologianstheologicaltheologicallytheologiestheologyliberation theologytheoremtheoremsPythagoram theoremtheoretictheoreticaltheoreticallytheoreticiantheoreticians

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