résultant - definizione. Che cos'è résultant
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Traduzione e analisi delle parole da parte dell'intelligenza artificiale

In questa pagina puoi ottenere un'analisi dettagliata di una parola o frase, prodotta utilizzando la migliore tecnologia di intelligenza artificiale fino ad oggi:

  • come viene usata la parola
  • frequenza di utilizzo
  • è usato più spesso nel discorso orale o scritto
  • opzioni di traduzione delle parole
  • esempi di utilizzo (varie frasi con traduzione)
  • etimologia

Cosa (chi) è résultant - definizione

POLYNOMIAL EXPRESSION OF THE COEFFICIENTS OF TWO POLYNOMIALS, WHICH IS EQUAL TO ZERO IF AND ONLY IF THE POLYNOMIALS HAVE A COMMON ROOT
Resultants; Eliminant; Macaulay resultant; Multivariate resultant; Macaulay's resultant; Multipolynomial resultant; Polynomial resultant

Resultant         
The line indicating the result of the application of two or more forces to a point. Its direction and length give the elements of direction and intensity. (See Forces, Resolution of Forces, Composition of Components.)
Resultant         
·noun That which results.
II. Resultant ·noun A reultant force or motion.
III. Resultant ·noun An Eliminant.
IV. Resultant ·adj Resulting or issuing from a combination; existing or following as a result or consequence.
Resultant         
In mathematics, the resultant of two polynomials is a polynomial expression of their coefficients, which is equal to zero if and only if the polynomials have a common root (possibly in a field extension), or, equivalently, a common factor (over their field of coefficients). In some older texts, the resultant is also called the eliminant.

Wikipedia

Resultant

In mathematics, the resultant of two polynomials is a polynomial expression of their coefficients that is equal to zero if and only if the polynomials have a common root (possibly in a field extension), or, equivalently, a common factor (over their field of coefficients). In some older texts, the resultant is also called the eliminant.

The resultant is widely used in number theory, either directly or through the discriminant, which is essentially the resultant of a polynomial and its derivative. The resultant of two polynomials with rational or polynomial coefficients may be computed efficiently on a computer. It is a basic tool of computer algebra, and is a built-in function of most computer algebra systems. It is used, among others, for cylindrical algebraic decomposition, integration of rational functions and drawing of curves defined by a bivariate polynomial equation.

The resultant of n homogeneous polynomials in n variables (also called multivariate resultant, or Macaulay's resultant for distinguishing it from the usual resultant) is a generalization, introduced by Macaulay, of the usual resultant. It is, with Gröbner bases, one of the main tools of elimination theory.