polynomial

listen to the pronunciation of polynomial
Английский Язык - Английский Язык
of a polynomial name or entity
A taxonomic designation (such as of a subspecies) consisting of more than two terms
Able to be described or limited by a polynomial
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_n x^n + a_{n-1}x^{n-1} + ... + a_0 x^0
{a} containing many names or terms
An expression made up of the sum of terms whose variables have only positive whole number powers The coefficients of these terms may be any type of number (e g , a2 + b2 = 13)
This is an expression with one or more terms added to or subtracted from each other For example, x³ + 5x² - 8 is a polynomial
An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers For example, x2 - 5x + 6 and 2p3q + y are polynomials
describes an algorithm whose performance is specified by a polynomial function, e g O(n) or O(n^2)
A linear combination of powers of one or more independent variables
An expression having a finite number of terms of the form ax+bx2+ nxn
an algebraic function of two or more summed terms
An expression composed of two or more terms, connected by the signs plus or minus; as, a2 - 2ab + b2
a mathematical expression that is the sum of a number of terms having the character of a polynomial; "a polynomial expression
A polynomial is a mathematical expression involving a series of powers in one or more variables multiplied by coefficients - e g , ax2, or 5y3
An algebraic expression consisting of one or more summed terms
A polynomial is an expression that can be written in the form anxn + an-1xn-1 + an-2xn-2 + a0 where n is an integer greater than or equal to zero
an statement in algebra that contains several different numbers and signs which are equal to a specific amount (poly- + -nomial (as in binomial)). In algebra, an expression consisting of numbers and variables grouped according to certain patterns. Specifically, polynomials are sums of monomials of the form ax^n, where a (the coefficient) can be any real number and n (the degree) must be a whole number. A polynomial's degree is that of its monomial of highest degree. Like whole numbers, polynomials may be prime or factorable into products of primes. They may contain any number of variables, provided that the power of each variable is a nonnegative integer. They are the basis of algebraic equation solving. Setting a polynomial equal to zero results in a polynomial equation; equating it to a variable results in a polynomial function, a particularly useful tool in modeling physical situations. Polynomial equations and functions can be analyzed completely by methods of algebra and calculus. See also orthoganal polynomial
A polynomial is an expression of the formax + + bx + c
a mathematical expression that is the sum of a number of terms
having the character of a polynomial; "a polynomial expression"
An algebraic expression written as a sum of constants multiplied by different powers of a variable, for example anxn + an-1xn-1 + ?+ a1x1 + a0, where the aj are the constants and x is the variable
An expression consisting of a sum of terms, each term being the product of a constant coefficient and one or more variables raised to either a non-negative integer power, such as a_n x^n + a_{n-1}x^{n-1} + ... + a_0 x^0
A mathematical expression that is a sum of terms, each term being a product of a constant and a non-negative (or zero) power of a variable or variables For example: 3x3 - 2x + 5x2 + 6
Containing many names or terms; multinominal; as, the polynomial theorem
A polynomial is an algebraic expression that consists of a sum of terms ( i ) 2x3y + 3xy - 5xy3 + 2xy + x + 4 is a polynomial that consists of 6 terms Terms: 2x3y, 3xy, -5xy3, 2xy, x, 4 Coefficients of the Terms: 2, 3, -5, 2, 1, 4 (4 is a constant ) Like terms are terms with identical variable expressions: 3xy and 2xy Unlike terms are terms with different variable expressions: 2x3y, 3xy, -5xy3, x, 4 To simplify a polynomial is to collect like terms After simplification, ( i ) becomes: ( ii ) 2x3y + 5xy - 5xy3 + x + 4 Some special polynomials: Monomial: 4x Binomial: 2x + 3y Trinomial: xy + 2x - 3
{i} algebraic expression that is the sum of two or more constants multiplied by variables with exponents (Mathematics)
To mathematicians, a polynomial in n is a sum of multiples of integer powers of n: for example, 3n2-8n+4 To computer scientists, on the other hand, polynomial often means upper-bounded by a polynomial: so n+log(n), for example, is "polynomial " Also an adjective ("polynomially") A function that grows polynomially is considered to be 'reasonable,' unlike, say, one that grows exponentially
An algebraic term The sum of 2 or more monomials Polynomials include variables and always have one or more terms
In algebra, a sum of monomials; for example, x2 + 2xy + y2
Consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature
An algebraic expression written as a sum of constants multiplied by different powers of a variable, for example a n x n + a n-1 x n- 1 + + a 1 x 1 + a 0 , where the a j are the constants and x is the variable
A function that is a sum of power functions, with positive integer exponents, multiplied by constants, such as f(x) = x3 - 2x2 + 4x + 7 = 1x3 + -2x2 + 4x + 7x0
that can be described or limited by a polynomial
A curve of the form y = a + bx + cx² + dx³ + ex4 + , where a, b, c, etc are constants, x and y variables Good graphing software typically can fit a polynomial to the sixth power to a set of data
polynomial equation
Any algebraic equation in which one or both sides are in the form of a polynomial
polynomial function
Any function whose value is the solution of a polynomial
polynomial time
time complexity which is bounded by some polynomial
polynomial time
which enjoys polynomial time
polynomial time
(Bilgisayar) [MASS NOUN] The time required for a computer to solve a problem, where this time is a simple polynomial function of the size of the input
characteristic polynomial
The determinant, of a matrix minus an indeterminant times the identity matrix

The characteristic polynomial of \left(\begin{array}{cc}1 & 4\\3 & -5\end{array}\right) is \mathbf{Det}\left(\begin{array}{cc}1-x & 4\\ 3 & -5-x\end{array}\right).

elementary symmetric polynomial
a coefficient of some power of t in (t-x_1)(t-x_2)\cdots(t-x_n), for any n\in\N
homogeneous polynomial
a polynomial such that the sum of the exponents of the variables is the same for every term

x^3+x^2y+xy^2+y^3.

homogenous polynomial
Alternate spelling of homogeneous polynomial
hyperbolic polynomial
A real, multivariate homogeneous polynomial p(x) is hyperbolic (in direction e) if p(x-te) = 0 has only real roots as a function of t
polynomial.
multinomial
polynomial.
polynome
polynomial.
polynomic
symmetric polynomial
A polynomial which remains unchanged if its variables are permuted

An example of a non-symmetric polynomial is x+2y: if we interchange x and y, this polynomial changes to 2x+y.

degree of a polynomial
the degree of the term in the polynomial that has the highest degree
monic polynomial
a polynomial in one variable
polynomials
plural of polynomial
polynomial

    Расстановка переносов

    po·ly·no·mi·al

    Турецкое произношение

    pälînōmiıl

    Произношение

    /ˌpäləˈnōmēəl/ /ˌpɑːlɪˈnoʊmiːəl/

    Этимология

    () poly- + -nomial
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