- the remainder theorem
- Макаров: теорема Безу
Универсальный англо-русский словарь. Академик.ру. 2011.
the remainder theorem
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Polynomial remainder theorem — The polynomial remainder theorem in algebra is an application of polynomial long division. It states that the remainder, r,, of a polynomial, f(x),, divided by a linear divisor, x a,, is equal to f(a) ,.This follows from the definition of… … Wikipedia
remainder theorem — noun Date: 1886 a theorem in algebra: if f(x) is a polynomial in x then the remainder on dividing f(x) by x a is f(a) … New Collegiate Dictionary
remainder theorem — noun : a theorem in algebra: if f(x) is a polynomial in x then the remainder on dividing f(x) by x a is f(a) … Useful english dictionary
Chinese remainder theorem — The Chinese remainder theorem is a result about congruences in number theory and its generalizations in abstract algebra. In its most basic form it concerned with determining n, given the remainders generated by division of n by several numbers.… … Wikipedia
Chinese remainder theorem — ▪ mathematics ancient theorem that gives the conditions necessary for multiple equations to have a simultaneous integer solution. The theorem has its origin in the work of the 3rd century AD Chinese mathematician Sun Zi, although the… … Universalium
Remainder — In arithmetic, when the result of the division of two integers cannot be expressed with an integer quotient, the remainder is the amount left over. The remainder for natural numbers If a and d are natural numbers, with d non zero, it can be… … Wikipedia
Derivation of the Routh array — The Routh array is a tabular method permitting one to establish the stability of a system using only the coefficients of the characteristic polynomial. Central to the field of control systems design, the Routh–Hurwitz theorem and Routh array… … Wikipedia
Original proof of Gödel's completeness theorem — The proof of Gödel s completeness theorem given by Kurt Gödel in his doctoral dissertation of 1929 (and a rewritten version of the dissertation, published as an article in 1930) is not easy to read today; it uses concepts and formalism that are… … Wikipedia
Exact sciences (The) in Hellenistic times: texts and issues — The exact sciences in Hellenistic times: Texts and issues1 Alan C.Bowen Modern scholars often rely on the history of Greco Latin science2 as a backdrop and support for interpreting past philosophical thought. Their warrant is the practice… … History of philosophy
Taylor's theorem — In calculus, Taylor s theorem gives a sequence of approximations of a differentiable function around a given point by polynomials (the Taylor polynomials of that function) whose coefficients depend only on the derivatives of the function at that… … Wikipedia
Cayley–Hamilton theorem — In linear algebra, the Cayley–Hamilton theorem (named after the mathematicians Arthur Cayley and William Hamilton) states that every square matrix over the real or complex field satisfies its own characteristic equation.More precisely; if A is… … Wikipedia
