How to use theorem in a sentence

Examples of theorem by meaning

More sentences with theorem

• The zeroes of a polynomial are its roots by the fundamental theorem of algebra.From the entry zero
• By Pythagoras' theorem, we can calculate the length of the hypotenuse.From the entry by
• Only formal proofs, which derive theorems logically from their given axioms, are considered satisfactory in modern mathematics.From the entry formal
• The proof of the theorem had a pleasing elegance.From the entry elegance
• The Pythagorean theorem only applies to right triangles.From the entry Pythagorean theorem
• If a composition (of morphisms) is monic then, by theorem, the pre-composite of it is monic as well.From the entry monic
• The task of proving Fermat’s “last” theorem remains nettlesome.From the entry nettlesome
• Whitney's theorem can be extended to hypergraphs.From the entry Whitney's theorem
• The significance of a Galois extension is that it has a Galois group and obeys the fundamental theorem of Galois theory.From the entry Galois extension
• Helly's theorem implies that the Helly dimension of a Euclidean space equals its dimension as a real vector space.From the entry Helly dimension
• There are several recursion theorems for large sets, such that a single new halving results in several new infinite families of halvings.From the entry halving
• According to the spin–statistics theorem, the wavefunction of a system of identical fermions (particles of half-integer spin) is antisymmetric under the operation of swapping any two particles.From the entry fermion
• The fundamental theorem of Galois theory states that there is a one-to-one correspondence between the subfields of a Galois extension and the subgroups of its Galois group.From the entry Galois extension
• There are elegant theorems and deep connections with polytopes, polyhedra, combinatorics, commutative algebra, symplectic geometry, and topology.2024, David A. Cox, John B. Little, Henry K. Schenck, Toric Varieties, American Mathematical Society, →ISBN. From the entry toric
• At this point, a supermartingale convergence theorem raises its ugly head again.2018, Lars Ljungqvist and Thomas J. Sargent, Recursive macroeconomic theory, 4th edition, MIT Press, page 25. From the entry raise one's head
• We demonstrate how to use the rational root theorem to prove the irrationality of many numbers.2017, Martin H. Weissman, An Illustrated Theory of Numbers, American Mathematical Society, page 84. From the entry rational root theorem
• We present a complex analytic proof of the Pila-Wilkie theorem for subanalytic sets.2016, Gal Binyamini, Dmitry Novikov, “The Pila-Wilkie theorem for subanalytic families: a complex analytic approach”, in arXiv. From the entry subanalytic
• Among others, simplification and synthetization (via the intercept theorem) are mentioned..2016, Francisco Botana, Zoltán Kovács, “New tools in GeoGebra offering novel opportunities to teach loci and envelopes”, in arXiv. From the entry synthetization
• There exists another approach to correct the DFT and its related Kohn-Sham Hamiltonian: the Koopmans’ theorem¹¹⁻²².2016 April 26, Jie Ma, Lin-Wang Wang, “Using Wannier functions to improve solid band gap predictions in density functional theory”, in…. From the entry Koopmans' theorem
• We also give an analogue of our main theorem in the setting of mirabolic D-modules.2015, Gwyn Bellamy, Travis Schedler, “Kostka polynomials from nilpotent cones and Springer fiber cohomology”, in arXiv. From the entry mirabolic
• We prove that Bazzoni theorem about the pure-injectivity of cotilting modules is also valid for cosilting modules..2015, Simion Breaz, Flaviu Pop, “Cosilting Modules”, in arXiv. From the entry cosilting
• The choice of Pythagoras' theorem had an additional motivation besides the one mentioned above.2014, Paul Smeyers, Marc Depaepe, Educational Research: Material Culture and Its Representation, page 174. From the entry mathophobia
• Bayes's theorem is a relationship between the conditional probabilities of two events.2011, Allen Downey, Think Stats, O'Reilly, page 56. From the entry Bayes' theorem
• Combination of the Weierstrass–Lindemann theorem and q-class decomposition will produce partitioning according to Theorem 8.2010, Elena Kartashova, Nonlinear Resonance Analysis: Theory, Computation, Applications, Cambridge University Press, →ISBN, page 63. From the entry Weierstrass-Lindemann theorem
• The abc conjecture may well replace the Fermat theorem for the future generation of mathematicians.2004, Sergei K. Lando, R.V. Gamkrelidze, V.A. Vassiliev, Graphs on Surfaces and Their Applications, Springer, page 137. From the entry abc conjecture
• Local sections will be the primary tool used to exploit the Jordan curve theorem.2004, Nelson G. Markley, Principles of Differential Equations, Wiley, page 193. From the entry Jordan curve theorem
• Since the time of Lindemann and Weierstrass, the theorem has been simplified several times.2004, A. K. Dewdney, Beyond reason: eight great problems that reveal the limits of science, John Wiley & Sons Inc, →ISBN. From the entry Weierstrass-Lindemann theorem
• Theorem 5 The non-zero fractional ideals of a Dedekind domain form a multiplicative group.2001, H. P. F. Swinnerton-Dyer, A Brief Guide to Algebraic Number Theory, Cambridge University Press, page 10. From the entry fractional ideal
• There is a vast generalization of the Jordan curve theorem to higher dimensions.1995, William Fulton, Algebraic Topology: A First Course, Springer, page 343. From the entry Jordan curve theorem
• In this and the next chapter I return to the fundamental theorems of welfare economics.1994, Joseph E. Stiglitz, Whither Socialism?, The MIT Press, page 27. From the entry fundamental theorem
• Normality criteria pertinent to families of meromorphic functions, such as Marty's theorem, have not yet been encountered.1993, Joel L. Schiff, Normal Families, Springer, page 71. From the entry meromorphic
• By proposition 6.5.4, X is a skeletoid and hence an absorber by theorem 6.5.1.1988, J. van Mill, Infinite-Dimensional Topology: Prerequisites and Introduction, page 285. From the entry absorber
• The author establishes some basic properties and two surjectivity theorems for subproper operators.1988, Reviews in Global Analysis, 1980-86, page 344. From the entry subproper
• By the Veblen fixed-point theorem, the class of epsilon numbers is unbounded.1977, Herbert B. Enderton, Elements of Set Theory, Elsevier (Academic Press), page 240. From the entry epsilon number
• Theorem 2.1 A connected graph with even local degrees has an Euler line.1961, Yale University, Graphs and Their Uses, page 25. From the entry Euler line
• In computing, the unconquerable trilemma is embodied in the well-known CAP theorem for distributed systems, also called Brewer’s CAP theorem.2023 June 2, Charles Xie, “Trilemma Trade-Offs: A New CAP Theorem For Vector Databases Has Emerged”, Forbes Technology Council, in Forbes…. From the entry trilemma
• The binomial series or binomial theorem is a formula for raising a binomial expression to any power without lengthy multiplication.2017, John Bird, Higher Engineering Mathematics, page 60. From the entry binomial series
• The technical basis is a coherence theorem for Frobenius pseudomonoids..2016, Lawrence Dunn, Jamie Vicary, “Surface proofs for linear logic”, in arXiv. From the entry pseudomonoids
• As applications, we build the group Fourier transformation on Heisenberg supergroups, prove the associated Parseval theorem, and construct Metaplectic representations..2016, Axel de Goursac, Jean-Philippe Michel, “Superunitary Representations of Heisenberg Supergroups”, in arXiv. From the entry superunitary

Meaning of theorem

1. noun 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.
2. noun A mathematical statement that is expected to be true.
3. noun A syntactically correct expression that is deducible from the given axioms of a deductive system.

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Questions about theorem in a sentence

How do you use theorem in a sentence?

Theorem is used as a noun and verb. For example: “Fermat's Last Theorem was known thus long before it was proved in the 1990s.”

What is a short sentence with theorem?

“Whitney's theorem can be extended to hypergraphs.”

What does theorem mean?

Theorem means 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.