Word Explorer

Posynomial

💡 Words with a Similar Meaning to "Posynomial"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
posinomialnounAlternative form of posynomial. [(mathematics) A function of the form f(x_1,x_2,…,x_n)=∑ₖ₌₁ᴷc_kx_1^(a_1k)⋯x_n^(a_nk), where all the coordinates x_i and coefficients c_k are positive real numbers, and the exponents a_ik are real numbers.]
polynomialnoun(algebra, strict sense) 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.
polynomial functionnoun(mathematics) Any function whose value is the solution of a polynomial; an element of a subring of the ring of all functions over an integral domain, which subring is the smallest to contain all the constant functions and also the identity function. (If the polynomial is multivariate then there is a different identity function corresponding to each variable.)
polynomial equationnoun(algebra) Any algebraic equation in which one or both sides are in the form of a polynomial.
pseudopolynomial(mathematics) A function where f(n+k) ≡ f(n) (mod k) for all integers n ≥ 0, k ≥ 1.
polynomial formnoun(algebra) A linear combination of powers of an indeterminate (or products of powers of more than one indeterminate), with coefficients belonging to an integral domain or a field. (The indeterminate is thought of as an element extraneous to the set of coefficients, instead of as a variable element of it (as in the case of polynomial functions), just as, say, the square root of negative one is an element extraneous to the set of integers when it is adjoined to them to form the domain of Gaussian integers. The indeterminate forms a free commutative monoid, to which all powers of it belong, and the unity of it can also show up implicitly in the constant term of a polynomial form.)
formal power seriesnoun(mathematics, algebra) Any finite or infinite series of the form a_0+a_1x+a_2x²…=∑ᵢa_ixⁱ, where the aᵢ are numbers, but it is understood that no value is assigned to x.
homogeneous polynomialnoun(mathematics) a polynomial such that the sum of the exponents of the variables is the same for every term.
all-one polynomialnoun(mathematics) A polynomial all of whose coefficients are 1.
polyexponential(mathematics) Involving many exponentials
polynomial algebranoun(algebra) A polynomial ring.
ultrapolynomialnounRelating to ultrapolynomials.
polynomialismnounThe use of many names or terms.
polynomenoun(mathematics, rare) polynomial
elementary symmetric polynomialnoun(algebra) a coefficient of some power of t in (t+x_1)(t+x_2)⋯(t+x_n), for some n∈ N
polynomial basisnoun(algebra, ring theory) A basis of a polynomial ring (said ring being viewed either as a vector space over the field of coefficients or as a free module over the ring of coefficients).
multinomial(mathematics) polynomial
abel polynomialnoun(mathematics) Any member of a certain polynomial sequence whose nth term is of the form p_n(x)=x(x-an)ⁿ⁻¹.
homogenous polynomialnoun(mathematics) Alternative spelling of homogeneous polynomial. [(mathematics) a polynomial such that the sum of the exponents of the variables is the same for every term.]
principal partnoun(grammar, usually in the plural):

🎨 Adjectives for "Posynomial"

Popular adjectives used to describe this word in books.

🏷️ Nouns for "Posynomial"

Common nouns this word is used to describe.

📝 Common Phrases with "Posynomial"

Words that come before

  • aposynomial
  • theposynomial
  • ofposynomial

Words that come after

Translate “Posynomial” into Another Language

Pick a language — the word will be pre-filled in the translator.

Home/Dictionary/Posynomial