Use ‘theorem’ in a sentence | ‘theorem’ example sentences
101- This exclusion of certain notes leads to the statement of the prime number theorem.
102- There are also many non-Desarguesian planes where Desargues’s theorem does not hold.
103- The Ambrose-Singer theorem makes explicit this relationship between curvature and holonomy.
104- Proofs Main article: Proofs of Fermat’s little theorem Fermat gave his theorem without a proof.
105- The Carleson Hunt theorem follows easily from this (and in fact from slightly weaker estimates).
106- Formalized account of theorems A theorem may be expressed in a formal language (or “formalized”).
107- The Mermin-Wagner theorem prevents any spontaneous symmetry breaking of the model’s U(1) symmetry.
108- Pringsheim’s theorem concerns the convergence of a power series with non-negative real coefficients.
109- Waldhausen’s theorem: Every splitting of is obtained by stabilizing the unique splitting of genus zero.
110- See Pambuccian (2009) for minimal axiom systems inside which the Sylvester-Gallai theorem can be proved.
111- This paper proves the n -dimensional version of the theorem in a more general setting involving measures.
112- Based on Gilbert Strang ‘s “Four subspaces” method for describing least squares and the rank-nullity theorem.
113- Kolchin (1946, 1948) gave precise definitions of the necessary concepts and proved a rigorous version of this theorem.
114- Novikov’s compact leaf theorem for S 3 theorem: A smooth codimension-one foliation of the 3-sphere S 3 has a compact leaf.
115- The principle can, however, be expressed in arithmetic, so that a direct proof of Gödel’s incompleteness theorem followed.
116- Duren 1970 Shapiro 1993, p. 19 The inequaties in turn immediately imply the subordination theorem for general Bergman spaces.
117- The base-10 version of the theorem attributed to Cohn by Pólya and Szegő in one of their books George Pólya Gábor Szegő (1925).
118- Hogg’s second paper on the topic of Basu’s theorem was never published, because of a negative report by an anonymous referee in 1953.
119- This explains the failure of the classical equipartition theorem for metals that eluded classical physicists in the late 19th century.
120- The edge-connectivity version of Menger’s theorem is as follows: :Let G be a finite undirected graph and x and y two distinct vertices.
121- The equivalence theorem also is a springboard for Coase’s primary achievement-providing the pillars for the New Institutional Economics.
122- Von Koch (1901) proved that the Riemann hypothesis is equivalent to the “best possible” bound for the error of the prime number theorem.
123- Number of prime numbers Main article: Euclid’s theorem There are infinitely many prime numbers.
124- “Self Verifying Axiom Systems, the Incompleteness theorem and the Tangibility Reflection Principle”.
125- Desargues’ theorem is not a valid theorem in either the Moulton plane or the Projective Moulton plane.
126- A modern, streamlined presentation of Schaefer’s theorem is given in an expository paper by Hubie Chen.
127- All closed curves will have at least four vertices, two minima and two maxima (the four-vertex theorem ).
128- The small-gain theorem gives a sufficient condition for finite-gain stability of the feedback connection.
129- Jacobson (2009), p. 115. In general, the theorem fails if one only assumes that the module is Noetherian.
130- LoF (T14-15) proves the pa analog of the well-known Boolean algebra theorem that every formula has a normal form.
131- There is also a dual Miller theorem with regards to impedance supplied by two current sources connected in parallel.
132- Thus, once a system is shown to have a cut elimination theorem, it is normally immediate that the system is consistent.
133- If one reads the theorem carefully, it only states that there exist non- vacuum states with arbitrarily small energies.
134- Proof As in the original paper, the theorem is typically proved making use of Dyson’s expansion of the evolution operator.
135- Finsler wrote Gödel in 1931 to inform him about this paper, which Finsler felt had priority for an incompleteness theorem.
136- Ore’s theorem may be obtained from Woodall by replacing every edge in a given undirected graph by a pair of directed edges.
137- More generally, according to a theorem of Kőnig (1916), every bipartite graph is of class 1, regardless of its maximum degree.
138- Gödel’s (first) incompleteness theorem shows that many axiom systems of mathematical interest will have undecidable statements.
139- Since proofs are always finite and therefore involve only finitely many of the given sentences, the compactness theorem follows.
140- Cerf’s theorem states that, provided M is simply-connected and dim(M) 5, the group of pseudo-isotopy diffeomorphisms of M is connected.
141- Thoralf Skolem had considered the Skolemizations of formulas in prenex form as part of his proof of the Löwenheim-Skolem theorem (Skolem 1920).
142- Namely, Pascal’s theorem states that given 6 points on a conic (a hexagon), the lines defined by opposite sides intersect in three collinear points.
143- The proof of Clifford’s theorem is best explained in terms of modules (and the module-theoretic version works for irreducible modular representations ).
144- A proof, we will see, is just that, a “test” of the theorem that we do by inserting a “proof example” into the beginning and see what pops out at the end.
145- Included is his regression theorem, that tries to explain why money is demanded in its own right, as moneys at first glance do not serve a consumable need.
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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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