- integer rational equation
- матем.целорациональное уравнение
English-Russian scientific dictionary. 2008.
integer rational equation
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Rational root theorem — In algebra, the rational root theorem (or rational root test to find the zeros) states a constraint on solutions (or roots) to the polynomial equation:a nx^n+a {n 1}x^{n 1}+cdots+a 0 = 0,!with integer coefficients.Let a 0 and a n be nonzero.Then… … Wikipedia
Equation solving — In mathematics, to solve an equation is to find what values (numbers, functions, sets, etc.) fulfill a condition stated in the form of an equation (two expressions related by equality). These expressions contain one or more unknowns, which are… … Wikipedia
Integer square root — In number theory, the integer square root (isqrt) of a positive integer n is the positive integer m which is the greatest integer less than or equal to the square root of n ,: mbox{isqrt}( n ) = lfloor sqrt n floor.For example, mbox{isqrt}(27) =… … Wikipedia
Pell's equation — is any Diophantine equation of the form:x^2 ny^2=1,where n is a nonsquare integer and x and y are integers. Trivially, x = 1 and y = 0 always solve this equation. Lagrange proved that for any natural number n that is not a perfect square there… … Wikipedia
Eisenstein integer — In mathematics, Eisenstein integers, named after Ferdinand Eisenstein, are complex numbers of the form :z = a + bomega ,!where a and b are integers and:omega = frac{1}{2}( 1 + isqrt 3) = e^{2pi i/3}is a complex cube root of unity. The Eisenstein… … Wikipedia
Diophantine equation — In mathematics, a Diophantine equation is an indeterminate polynomial equation that allows the variables to be integers only. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for… … Wikipedia
Elliptic rational functions — In mathematics the elliptic rational functions are a sequence of rational functions with real coefficients. Elliptic rational functions are extensively used in the design of elliptic electronic filters. (These functions are sometimes called… … Wikipedia
Functional equation — In mathematics or its applications, a functional equation is an equation expressing a relation between the value of a function (or functions) at a point with its values at other points. Properties of functions can for instance be determined by… … Wikipedia
Quadratic equation — This article is about quadratic equations and solutions. For more general information about quadratic functions, see Quadratic function. For more information about quadratic polynomials, see Quadratic polynomial. In mathematics, a quadratic… … Wikipedia
Algebraic equation — In mathematics, an algebraic equation over a given field is an equation of the form:P = Qwhere P and Q are (possibly multivariate) polynomials over that field. For example:y^4+frac{xy}{2}=frac{x^3}{3} xy^2+y^2 frac{1}{7} is an algebraic equation… … Wikipedia
On-Line Encyclopedia of Integer Sequences — URL oeis.org Created by Neil Sloane Launched 1996 ( … Wikipedia
