Polinom zamanında bu problemi çözebilecek bir algoritma henüz bulunmadı. - No algorithm that can solve this problem in polynomial time has been found yet.
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 system of polynomials that are mutually orthogonal (orthogonality is the higher-dimensional analog of perpendicularity), useful in solving differential equations arising in physics and engineering. The study of such systems began with Adrien-Marie Legendre (1752-1833), who employed a system now known as Legendre polynomials in the solution of problems in celestial mechanics. Other famous examples are the sets of Hermite and Chebyshev polynomials
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)
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
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
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
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
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 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
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