How to use polynomial in a sentence

Examples of polynomial by meaning

More sentences with polynomial

• The zeroes of a polynomial are its roots by the fundamental theorem of algebra.From the entry zero
• With angelic non-determinism, any problem in NP would be solvable in polynomial time.From the entry angelic non-determinism
• The professor of complexity theory says that the problem can be solved in polynomial time.From the entry complexity theory
• Over a perfect field, the separable polynomials are precisely the square-free polynomials.From the entry separable polynomial
• Birational geometry amounts to the study of mappings given by rational functions rather than polynomials.From the entry birational geometry
• The zeroth order polynomial approximation is constant.From the entry zeroth
• A quadratic polynomial is a polynomial of degree 2.From the entry degree
• An example of a non-symmetric polynomial is x+2y: if we interchange x and y, this polynomial changes to 2x+y.From the entry symmetric polynomial
• The polynomial with the higher degree grows asymptotically faster.From the entry asymptotically
• The study of the automorphisms of splitting fields of separable polynomials over a field is referred to as Galois theory.From the entry separable polynomial
• After a moment's thought, the robot wrote out a polynomial and deliberately misfactored it.2019, Yoon Ha Lee, “The Robot's Math Lessons”, in Hexarchate Stories. From the entry misfactor
• It was shown that this problem can be solved in polynomial time.2016, Binhai Zhu, “Genomic Scaffold Filling: A Progress Report”, in Daming Zhu, Sergey Bereg, editors, Frontiers in Algorithmics: 10th…. From the entry scaffold
• This allows one to express coefficients of polynomials in terms of pseudoroots.2016, Scott Chapman, Marco Fontana, Alfred Geroldinger, Multiplicative Ideal Theory and Factorization Theory, page 398. From the entry pseudoroot
• In this chapter, we study the characterization of the best approximation by polynomials on the sphere.2013, Feng Dai, Yuan Xu, Approximation Theory and Harmonic Analysis on Spheres and Balls, Springer, page 79. From the entry smoothness
• Khovanov's categorification of the Jones polynomial by Khovanov homology is the subject of Section 11.6.2010, Kishore Marathe, Topics in Physical Mathematics, Springer, page 351. From the entry categorification
• Or, it could be reinforcement of material on Taylor and Maclaurin polynomials that the students have had.2010, Stephen Hillbert, Diane D. Schwartz, Stan Seltzer, John Maceli, Eric Robinson, Calculus: An Active Approach with Projects…. From the entry Maclaurin polynomial
• According to the Gauss lemma, the product of primitive polynomials is primitive.2000, Jun-ichi Igusa, An Introduction to the Theory of Local Zeta Functions, American Mathematical Society, page 1. From the entry primitive polynomial
• In the Maclaurin polynomials for sin x, only the odd powers of x appear explicitly.1998, Howard Anton, Calculus, Volume 2, Wiley, page 654. From the entry Maclaurin polynomial
• Typically, this reduction is based on a polynomial number of non-deterministic steps.1996, Klaus U. Schulz, Combining Unification and Disunification Algorithms: Tractable and Intractable Instances (unpublished report). From the entry disregardless
• This polynomial is known as the Pfaffian of A, and we denote it by Sym(pf A).1993, Chris Godsil, “Pfaffians”, in Algebraic Combinatorics, page 113. From the entry pfaffian
• If one has a singularity, one may look at the second-order terms in the Taylor's polynomial.1980, Donald W. Kahn, Introduction to Global Analysis, Academic Press, page 314. From the entry Taylor polynomial
• When one tensor is strictly copositive, the complementarity eigenvalues can be computed by solving polynomial optimization with normalization by strict copositivity.2016, Jinyan Fan, Jiawang Nie, Anwa Zhou, “Tensor Eigenvalue Complementarity Problems”, in arXiv. From the entry copositivity
• We use the method of pseudoanalytical continuation to obtain the characterization of these spaces in terms of polynomial approximations.2016, Alexander Rotkevich, “Constructive description of Hardy-Sobolev spaces in ℂⁿ”, in arXiv. From the entry pseudoanalytical
• We refine and extend quantitative bounds, on the fraction of nonnegative polynomials that are sums of squares, to the multihomogenous case.2016, Alperen Ergur, “Multihomogenous Nonnegative Polynomials and Sums of Squares”, in arXiv. From the entry multihomogenous
• In this way, we obtain fixed-parameter tractability and polynomial kernelizability results, with the central parameter being the maximum vertex degree.2016, Robert Bredereck, Vincent Froese, Marcel Koseler, Marcelo Garlet Millani, André Nichterlein, Rolf Niedermeier, “A Parameterized…. From the entry kernelizability
• Generalized complete Bell polynomials are used in order to compute joint moments and joint cumulants of multivariate photocounters.2015, Elvira Di Nardo, “On photon statistics parametrized by a non-central Wishart random matrix”, in arXiv. From the entry photocounter
• Finally, we present the definition of a hypergraphical matroid, whose Tutte polynomial allows us to calculate this generic Hilbert series..2015, Gleb Nenashev, “On Postnikov-Shapiro Algebras and their generalizations”, in arXiv. From the entry hypergraphical
• We will call a polynomial root-unitary if its roots all lie on the unit circle; this clearly implies self-inversivity.2007 September 25, Kiran S[ridhara] Kedlaya, “Definitions”, in Search Techniques for Root-Unitary Polynomials, page 1. From the entry inversivity
• If A is a skew symmetric matrix then det A is the square of a polynomial in the entries of A.1993, Chris Godsil, “Pfaffians”, in Algebraic Combinatorics, page 113. From the entry pfaffian
• For any fixed positive integer n, use Exercise 2 to denumerate the polynomials Xⁿ + rₙ₋₁Xⁿ⁻¹+. . . +r₀.1992, James D. Fix, Leopold Flatto, Advanced calculus, page 18. From the entry denumerate
• Of particular interest are the primitive rings with minimal ideals, algebraic algebras and algebras with a polynomial identity.1956, Nathan Jacobson, Structure of Rings, American Mathematical Society, page vii. From the entry minimal ideal
• The rational root theorem has you create a list of possible rational roots using the lead coefficient and constant in the polynomial equation.2018, Mary Jane Sterling, Pre-Calculus For Dummies, Wiley, page 85. From the entry rational root theorem
• Another class, P, is a subset of NP, and includes all decision problems that can be solved by a (deterministic) Turing machine in polynomial time.2017, Arlindo Oliveira, The Digital Mind: How Science Is Redefining Humanity, MIT Press, →ISBN, page 81. From the entry np
• We also prove some rigidity theorems for polynomial parabolic germs, which state that one can recover unicritical holomorphic and antiholomorphic polynomials from their parabolic germs..2016, Hiroyuki Inou, Sabyasachi Mukherjee, “Discontinuity of straightening in antiholomorphic dynamics”, in arXiv. From the entry multicorns
• Lastly, the same method is used to explain the fact that Sergeev's super Pfaffian, an invariant for the special orthosymplectic super group, is polynomial..2015, P. Deligne, G. I. Lehrer, R. B. Zhang, “The first fundamental theorem of invariant theory for the orthosymplectic super group”, in…. From the entry orthosymplectic
• They arise from the ring of polynomials in Dunkl-deformed angular momenta, by classifying the subspaces invariant and antiinvariant under all Weyl reflections, respectively..2015, Francisco Correa, Olaf Lechtenfeld, “The tetrahexahedric angular Calogero model”, in arXiv. From the entry antiinvariant

Meaning of polynomial

1. noun An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as a_nxⁿ+a_n-1xⁿ⁻¹+...+a_0x⁰.
2. noun A taxonomic designation (such as of a subspecies) consisting of more than two terms.
3. noun A type of term consisting of multiple parts.

Full definition of polynomial

More about polynomial

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• Polynomial in Hindi
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• Polynomial in Marathi
• Polynomial in Bengali

Questions about polynomial in a sentence

How do you use polynomial in a sentence?

Polynomial is used as a noun and adjective. For example: “The zeroes of a polynomial are its roots by the fundamental theorem of algebra.”

What is a short sentence with polynomial?

“The zeroth order polynomial approximation is constant.”

What does polynomial mean?

Polynomial means an expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as a_nxⁿ+a_n-1xⁿ⁻¹+...+a_0x⁰.