TERMIUM Plus^®

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Polynomial-time algorithms are considered to be efficient, while exponential-time algorithms are considered inefficient, because the execution times of the latter grow much more rapidly as the problem size increases.  3, record 4, English, - polynomial%2Dtime%20algorithm

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In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence that arise in probability, such as the Edgeworth series...  2, record 5, English, - Hermite%20polynomial

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A periodic sequence of symbols generated by a linear feedback shift register whose feedback coefficients form a primitive polynomial.... Employed as a pseudorandom sequences, error-correcting codes, etc.  1, record 6, English, - maximum%2Dlength%20sequence

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(codes correcteurs d'erreurs).  1, record 6, French, - s%C3%A9quence%20du%20mot%20de%20code%20de%20longueur%20maximale

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Theoretical computer science regards as feasible those computations that can be performed in polynomial time(i. e. in time polynomial in the length of the input) and as infeasible those requiring, say, exponential time.  2, record 7, English, - polynomial%20time

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An equation in the form of a polynomial having a finite number of terms and equated to zero...  2, record 8, English, - algebraic%20equation

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The search for more efficient algorithms, among other things, has led to algorithms that do "intelligent backtracking" and to so-called network consistency algorithms. The latter is a group of polynomial time algorithms which do not necessarily solve the constraint satisfaction problem, but which eliminate all local inconsistencies that cannot participate in a global solution. Network consistency algorithms will generally reduce the overall domain size. This makes them attractive as pre-processors for algorithms such as depth-first backtracking.  2, record 9, English, - network%20consistency%20algorithm

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Record 10,  Textual support,  English

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A function whose dependence on the independent variable or variables is determined by an algebraic equation.  2, record 10, English, - algebraic%20function

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An algebraic function is a function f(x) which satisfies p(x, f(x))=0, where p(x, y) is a polynomial in x and y with integer coefficients. Functions that can be constructed using only a finite number of elementary operations together with the inverses of functions capable of being so constructed are examples of algebraic functions.  3, record 10, English, - algebraic%20function

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Une fonction algébrique est une fonction obtenue à partir d'additions, de soustractions, de multiplications, de divisions ou de puissances réelles constantes de polynômes.  2, record 10, French, - fonction%20alg%C3%A9brique

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Record 11,  Textual support,  English

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A polynomial with three terms.  2, record 11, English, - trinomial

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A trinomial is an algebraic expression that has three non-zero terms and has more than one variable in the expression. A trinomial is a type of polynomial but with three terms.  3, record 11, English, - trinomial

Record 11,  Textual support,  French

Record number: 11, Textual support number: 1 DEF

Polynôme à trois termes.  2, record 11, French, - trin%C3%B4me

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Rational polynomial functions have many applications, such as filter design, system theory, and digital image processing. In particular, rational polynomial functions provide the most common way of representing the z-transform. A rational polynomial function takes the form of the division of two polynomials...  3, record 12, English, - rational%20polynomial%20function

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A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two. Since the highest degree term in a quadratic function is of the second degree,... it is also called the polynomial of degree 2.  2, record 13, English, - quadratic%20function

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A quadratic function is of the form f(x) = ax² + bx + c, where a ≠ 0. [A] quadratic equation is of the form ax2 + bx + c = 0, where a ≠ 0.  2, record 13, English, - quadratic%20function

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Une fonction quadratique est une fonction de la forme f(x) = ax² + bx + c où a, b, c ∈ R et a ≠ 0. Cette fonction est aussi dite fonction polynomiale du second degré.  2, record 13, French, - fonction%20quadratique

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A polynomial with only two terms.  2, record 14, English, - binomial

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The algebraic expression which contains only two terms is called binomial. It is a two-term polynomial. Also, it is called a sum or difference between two or more monomials. It is the simplest form of a polynomial.  3, record 14, English, - binomial

Record 14,  Textual support,  French

Record number: 14, Textual support number: 1 DEF

Polynôme composé de deux termes, ceux-ci étant des monômes de degrés ou de variables différents.  1, record 14, French, - bin%C3%B4me

Record 14,  Textual support,  Spanish

Record number: 14, Textual support number: 1 DEF

Expresión compuesta de dos términos algebraicos unidos por los signos más o menos.  1, record 14, Spanish, - binomio

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An expression containing sums or differences of monomials.  2, record 15, English, - polynomial

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Les polynômes sont des expressions algébriques contenant un ou plusieurs termes. Un polynôme est en fait la somme ou la différence algébrique de plusieurs monômes.  2, record 15, French, - polyn%C3%B4me

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Record number: 15, Textual support number: 1 DEF

Expresión compuesta de dos o más términos algebraicos unidos por los signos más o menos.  1, record 15, Spanish, - polinomio

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[Researchers showed] that every constraint satisfaction problem(CSP) where the constraints are preserved by a semi-lattice operation can be solved in polynomial time. This is one of the basic facts for the so-called universal-algebraic approach to a systematic theory of tractability and hardness in finite domain constraint satisfaction.  1, record 16, English, - finite%20domain%20constraint%20satisfaction

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Polynomial constraints are ubiquitous, and they find relevant applications in virtually all fields of science and engineering...  2, record 17, English, - polynomial%20constraint

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[...] los retardos pueden cuantificarse a través de efectos independientes, sin restricciones, restricción por estratos y restricción polinomial.  1, record 17, Spanish, - restricci%C3%B3n%20polinomial

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We introduce... polynomial constraint satisfaction problems, or PCSP. Where the usual [constraint satisfaction problems] from computer science and optimization have real-valued score functions, and partition functions from physics have monomials, [a] PCSP has scores that are arbitrary multivariate formal polynomials, or indeed take values in an arbitrary ring.  2, record 18, English, - polynomial%20constraint%20satisfaction%20problem

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A linear operator satisfying a polynomial identity with scalar coefficients.  2, record 19, English, - algebraic%20operator

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Choice and sequencing — the most fundamental of algebraic operators are the alternative operator ... which provides a choice between actions, and the sequencing operator ... which specifies an ordering on actions.  3, record 19, English, - algebraic%20operator

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La différence est le seul opérateur algébrique qui permet d'exprimer des requêtes comportant une négation (on veut «rejeter» quelque chose, on «ne veut pas» des nuplets ayant telle propriété).  2, record 19, French, - op%C3%A9rateur%20alg%C3%A9brique

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The process of resolving a given number or polynomial into factors.  3, record 20, English, - factorization

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Recherche et détermination de l'ensemble des facteurs premiers d'un nombre ou d'un polynôme.  3, record 20, French, - factorisation

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Proceso de presentar una expresión matemática o un número en forma de multiplicación.  1, record 20, Spanish, - factorizaci%C3%B3n

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An algorithm which produces a feasible solution [but not necessarily an optimal solution].  3, record 21, English, - approximation%20algorithm

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An approximate algorithm is a way of dealing with NP-completeness for optimization problems, [although this] technique does not guarantee the best solution. The goal of an approximation algorithm is to come as close as possible to the optimum value in a reasonable amount of time which is at most polynomial time.  4, record 21, English, - approximation%20algorithm

Record 21,  Textual support,  French

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Algorithme qui conduit toujours à une solution réalisable mais pas nécessairement à une solution optimale.  3, record 21, French, - algorithme%20d%27approximation

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Les problèmes d'optimisation NP-difficiles ne sont pas tous équivalents en termes "d'approximabilité" : certains [...] peuvent être approximés avec un facteur quelconque, la complexité en temps de l'algorithme d'approximation augmentant lorsque le facteur d'erreur diminue [...]  4, record 21, French, - algorithme%20d%27approximation

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En informatique théorique, un algorithme d'approximation est une méthode permettant de calculer une solution approchée à un problème algorithmique d'optimisation. Plus précisément, c'est une heuristique garantissant à la qualité de la solution qui fournit un rapport inférieur (si l'on minimise) à une constante, par rapport à la qualité optimale d'une solution, pour toutes les instances possibles du problème.  5, record 21, French, - algorithme%20d%27approximation

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Algoritmo que entrega una solución con una garantía teórica de cercanía al óptimo.  1, record 21, Spanish, - algoritmo%20de%20aproximaci%C3%B3n

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I shall describe here two public-key cryptosystems based on NP problems(i. e. nondeterministic, polynomial time problems,) : the trapdoor knapsack system, developed by Merkle and me(i. e. Martin E. Hellman), and the RSA system, developed by Ronald Rivest, Adi Shamir and Leonard Adleman at the Massachusetts Institute of Technology. The first of these cryptosystems is based on a well-known NP problem called the knapsack or subset sum problem [...]  1, record 22, English, - trapdoor%20knapsack%20system

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Nous décrirons ici deux cryptosystèmes à clef révélée fondés sur les problèmes NP (c'est-à-dire non résolubles en temps polynomial) : le système à empilement mis au point par Ralph Merkle et moi-même, et le système RSA, dû aux travaux de Ronald Rivest, Adi Shamir et Leonard Adleman à l'Institut de technologie du Massachusetts. Le premier de ces cryptosystèmes est fondé sur un problème NP bien connu, concernant la recherche de sous-ensembles de somme donnée d'un ensemble de nombres [...]  1, record 22, French, - syst%C3%A8me%20%C3%A0%20empilement

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An NP, [i. e. nondeterministic, polynomial time], problem from which a trapdoor one-way function can be derived.  1, record 23, English, - knapsack%20problem

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Un problème NP [c'est-à-dire non résoluble en temps polynomial,] à partir duquel on peut construire une fonction à sens unique et à gâche.  1, record 23, French, - probl%C3%A8me%20d%27empilement

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Record number: 24, Textual support number: 1 OBS

(...) of a set of polynomial equations. A relation between coefficients which is obtained by eliminating the variables and which is zero if the equations have a nonempty solution set(the resultant is also called an eliminant).  1, record 24, English, - resultant

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When a polynomial in "x" is divided by "x-h", the remainder is equal to the number obtained by substituting "h" for "x" in the polynomial.  1, record 25, English, - remainder%20theorem

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(...) a sextic equation is a polynomial equation of the sixth degree.  1, record 26, English, - sextic%20equation

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(...) the exact square of another number of polynomial;(...)  1, record 27, English, - perfect%20square

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Division of a polynomial in one variable, say "x", by "x" minus a constant(positive or negative), making use of detached coefficients and a simplified arrangement of the work.  1, record 28, English, - synthetic%20division

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A spline curve made up of either explicit or parametric cubic polynomial arcs.  2, record 29, English, - cubic%20spline

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The study of methods of solving and the possibility of solving polynomial equations, and of the relations between roots and between roots and coefficients of equations.  1, record 30, English, - theory%20of%20equations

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Function composed of one or more polynomials.  3, record 31, English, - polynomial%20function

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Polynomials may be represented by storing their coefficients in arrays.  4, record 31, English, - polynomial%20function

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polynomial function : term standardized by Environment Canada and the Translation Bureau for use in the National Inventory Report.  5, record 31, English, - polynomial%20function

Record 31,  Textual support,  French

Record number: 31, Textual support number: 1 CONT

On appelle fonction polynomiale toute fonction réelle du type f [...] où a₀ [...] a_n sont des constantes réelles fixées. Dans le cas où a_n [est différent de 0], on dit que f est de degré n.  3, record 31, French, - fonction%20polynomiale

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Au sens large, expression mathématique permettant la représentation de courbes et de surfaces.  2, record 31, French, - fonction%20polynomiale

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Fonction polynomiale de base, de degré x, par intervalles, d'ordre élevé.  2, record 31, French, - fonction%20polynomiale

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fonction polynomiale : terme normalisé par Environnement Canada et le Bureau de la traduction dans le cadre du Rapport d'inventaire national.  4, record 31, French, - fonction%20polynomiale

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Suma de funciones cuyos valores son del tipo cx^k, donde c es un número real y k es un entero no negativo.  1, record 31, Spanish, - funci%C3%B3n%20polinomial

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Función polinomial. [...] dentro de las funciones algebraicas tenemos un conjunto de funciones que llamamos "funciones polinomiales y son aquellas cuya regla de correspondencia es un polinomio".  1, record 31, Spanish, - funci%C3%B3n%20polinomial

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A homogeneous polynomial having two or more variables.  3, record 32, English, - homogenous%20polynomial

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[El] operador rezago, también llamado operador de retraso, L, "opera" sobre una serie retrasándola un periodo, es decir: Ly_t = y_t-1.Generalmente no se aplica solamente el operador de retraso a una serie, sino más bien un polinomio en el operador rezago [...]  2, record 33, Spanish, - polinomio%20en%20el%20operador%20de%20rezago

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The number of positive zeros of a polynomial "p(x) "either is equal to the number of its variations of sign or is less than that number by an even integer, a zero of multiplicity "m" being counted as "m" zeros.  2, record 34, English, - Descartes%26rsquo%3B%20rule%20of%20signs

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René Descartes (2596-1650) : philosophe et savant français, père du cartésianisme.  2, record 34, French, - r%C3%A8gle%20des%20signes%20de%20Descartes

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Record 35,  Textual support,  English

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A continuous function may be approximated over a closed interval by a polynomial, to any assigned degree of accuracy.  2, record 35, English, - Weierstrass%20approximation%20theorem

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Karl Weierstrass (1815-1897) : mathématicien allemand qui a démontré l'indépendance des notions de continuité et de dérivabilité.  2, record 35, French, - th%C3%A9or%C3%A8me%20d%27approximation%20de%20Weierstrass

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Record 36,  Textual support,  English

Record number: 36, Textual support number: 1 DEF

Having the character of a polynomial.  1, record 36, English, - polynomial

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Polynomial : an algebraic function of one or more variables consisting of the sum of terms whose factors are constants or positive integral.  1, record 36, English, - polynomial

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Record number: 36, Textual support number: 1 PHR

Fonction, forme polynomiale.  1, record 36, French, - polynomial

Record 36,  Textual support,  Spanish

Record number: 36, Textual support number: 1 PHR

Algoritmo, interpolación polinomial.  1, record 36, Spanish, - polinomial

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Record 37,  Textual support,  French

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Record number: 37, Textual support number: 1 CONT

Recordando que el grado de un polinomio es el exponente mayor de la variable, podemos hablar de una función polinomial de grado n […]. Ejemplos particulares de la función polinomial son, la función lineal (función polinomial de grado uno), la función cuadrática (función polinomial de segundo grado), función cúbica (función polinomial de tercer grado).  1, record 37, Spanish, - funci%C3%B3n%20c%C3%BAbica

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The magic angle is a precisely defined angle, the value of which is approximately 54. 7°. The magic angle is a root of a second-order Legendre polynomial,... and so any interaction which depends on this second-order Legendre polynomial vanishes at the magic angle. This property makes the magic angle of particular importance in solid-state NMR [nuclear magnetic resonance] spectroscopy.  1, record 38, English, - magic%20angle

Record number: 38, Textual support number: 1 OBS

magic angle: term used in the field of nuclear magnetic resonance spectroscopy.  2, record 38, English, - magic%20angle

Record 38,  Textual support,  French

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Contrairement à d’autres méthodes spectroscopiques, la RMN [résonance magnétique nucléaire] possède la particularité de sonder l’environnement local d’un noyau choisi à travers la caractérisation des interactions influençant la relaxation. [...] La RMN des solides n’en est pas encore à ce niveau de haute résolution, sauf en technique HRMAS [expériences haute résolution à l'angle magique] pour les échantillons dits «mous» comme les résines gels, plantes […] En effet la rigidité du réseau cristallin accentue fortement l’influence sur la relaxation d’interactions d’origines diverses. De plus les études se font principalement sur des échantillons de poudre puisqu’il est difficile d’obtenir des monocristaux de taille suffisante (>1 mm³). Ainsi le caractère anisotrope des interactions et la présence de cristalittes aux orientations multiples génèrent des élargissements de raies de résonance. La technique la plus souvent utilisée pour éliminer, ou tout au moins réduire ces élargissements consiste à mettre l’échantillon en rotation à l’angle magique (angle de 54,7° par rapport au champ magnétique statique).  2, record 38, French, - angle%20magique

Record number: 38, Textual support number: 1 OBS

angle magique : terme utilisé en spectroscopie de résonance magnétique nucléaire.  3, record 38, French, - angle%20magique

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Record 39,  Textual support,  English

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A procedure used to find an approximating function(a polynomial), that has the smallest maximum error on a given internal.  2, record 39, English, - minimax%20procedure

Record 39,  Textual support,  French

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Voir «critère du minimax».  2, record 39, French, - proc%C3%A9dure%20Min%2DMax

Record 39,  Textual support,  Spanish

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Procedimiento usado, por lo general, en la teoría de la aproximación para encontrar una función aproximativa, frecuentemente un polinomio, que tenga el error máximo más pequeño en un intervalo dado.  1, record 39, Spanish, - procedimiento%20de%20aproximaci%C3%B3n%20al%20m%C3%ADnimo%2Dm%C3%A1ximo

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A regression model that has as its explanatory variables the elements of a polynomial in the coordinates of the observations.  3, record 40, English, - trend%20surface%20analysis

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Trend surface analysis is the most widely used global surface-fitting procedure. The mapped data are approximated by a polynomial expansion of the geographic coordinates of the control points, and the coefficients of the polynomial function are found by the method of least squares, insuring that the sum of the squared deviations from the trend surface is a minimum.  4, record 40, English, - trend%20surface%20analysis

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trend surface analysis: term used at Natural Resources Canada - Earth Sciences Sector.  5, record 40, English, - trend%20surface%20analysis

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Record number: 40, Textual support number: 1 CONT

Autre type de filtrage, l'analyse par surfaces de tendance ou «trend surface analysis» [...] a pour objet de filtrer, à partir d'une carte numérisée, 2 composantes : la tendance régionale (surface) et les fluctuations locales (résidus).  6, record 40, French, - analyse%20par%20surfaces%20de%20tendance

Record number: 40, Textual support number: 2 CONT

Une méthode pour s'affranchir des variations locales est l'établissement d'une «surface de dérive» («trend surface analysis») destinée à visualiser par ses altitudes en chaque point la variation d'ensemble du caractère. La méthode consiste à représenter approximativement cette variation par un polynôme en x et y, de degré n convenablement choisi, dont les coefficients seront déterminés par ajustement au moyen de la méthode des moindres carrés [...] La surface de dérive représentée par ce polynôme doit en principe [...] passer le plus près possible des points de mesure affectés chacun d'une altitude égale à la valeur mesurée.  3, record 40, French, - analyse%20par%20surfaces%20de%20tendance

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«L'analyse du comportement des surfaces» nous fournit une méthode objective, pour construire sur une carte les contours de variation d'une variable quelconque, qui a été mesurée en différents points du terrain. Les changements de la variable en fonction polynomiale des coordonnées rectilignes permettent une estimation de contours par une méthode des moindres carrés.  7, record 40, French, - analyse%20par%20surfaces%20de%20tendance

Record number: 40, Textual support number: 1 OBS

analyse par surfaces de tendance : terme en usage à Ressources naturelles Canada - Secteur des sciences de la Terre.  8, record 40, French, - analyse%20par%20surfaces%20de%20tendance

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Record 41,  Textual support,  English

Record number: 41, Textual support number: 1 CONT

The Grothendieck ring of the category of polynomial representations of the general linear group over an infinite field is canonically isomorphic to the ring of symmetric polynomials in n variables, the correspondence being obtained by sending a representation to its formal character.  1, record 41, English, - general%20linear%20group

Record 41,  Textual support,  French

Record number: 41, Textual support number: 1 CONT

Soit q une puissance d'un nombre premier p et soit G=GL (n,q(2] le groupe linéaire général de degré n sur GF (q(2]. Soit U=U(n,q) le groupe unitaire de degré n sur GF (q(2] et M=GL (n,q) le groupe linéaire général sur GF(q). On étudie les caractères des représentations permutation de G sur les co-ensembles de à la fois U et M.  2, record 41, French, - groupe%20lin%C3%A9aire%20g%C3%A9n%C3%A9ral

Record 41,  Textual support,  Spanish

Record 44,  Textual support,  English

Record number: 44, Textual support number: 1 CONT

This paper presents the use of two-dimensional boundary characteristic orthogonal polynomials as the shape functions in the Rayleigh-Ritz method to study the vibration of non-homogeneous plates with a curved boundary, and of elliptical plates in particular.  2, record 44, English, - boundary%20characteristic%20orthogonal%20polynomial

Record 44,  Textual support,  French

Record number: 44, Textual support number: 1 OBS

Équivalent obtenu de Jacques Demers, traducteur au Service Sciences et technologies du Bureau de la traduction.  2, record 44, French, - polyn%C3%B4me%20orthogonal%20caract%C3%A9ristique%20des%20limites

Record 44,  Textual support,  Spanish

Record 45,  Textual support,  English

Record number: 45, Textual support number: 1 CONT

A factor of an object is any object (perhaps of some specified type) that divides the given object).  2, record 45, English, - factor

Record number: 45, Textual support number: 2 CONT

Factor of a polynomial : One of two or more polynomials whose product is the given polynomial.  2, record 45, English, - factor

Record 45,  Textual support,  French

Record number: 45, Textual support number: 1 CONT

Facteur d'un produit : Dans un anneau, le produit de deux éléments a et b se note a.b ou ab, et les éléments a et b sont appelés facteurs de ce produit.  1, record 45, French, - facteur

Record 45,  Textual support,  Spanish

Record 46,  Textual support,  English

Record number: 46, Textual support number: 1 CONT

Air water-vapor pressure at saturation was computed using the Lowe equation (Lowe, 1977), which can be written as: e_s + (A₀ T(A₁ + T(A₂ + T(A₃ + T(A₄ + T(A₅ + TA₆))))))/10, where T is air temperature, in degrees Celsius; and the coefficients are: A₀: 6.107799961; A₁: 4.436518521 10^-1; A₂: 1.428945805 10^-2; A₃: 2.650648471 10[exponent-4]; A₄: 3.031240396 10^-6; A₅: 2.034080948 10^-8; A₆: 6.136820929 10^-11.  3, record 46, English, - Lowe%20equation

Record number: 46, Textual support number: 1 OBS

Paul R. Lowe [1977] provides a polynomial for calculating saturation vapor pressure in kilopascals from the air temperature in °C.  4, record 46, English, - Lowe%20equation

Record 46,  Textual support,  French

Record number: 46, Textual support number: 1 CONT

Il existe plusieurs formules pour calculer la tension maximale de vapeur d'eau ew en fonction de la température. L'une des plus précises dans la gamme des températures habituelles est la formule polynomiale de Lowe, dans laquelle T est la température absolue : e (en hPa ou en mb) =6984,5 + T(188,9 + T (2,133 + T (- 1,289.10^-2 + T(4,394.10^-5 + T(-8,024.10^-8 + 6,137.10[exposant-11] T))))).  1, record 46, French, - formule%20polynomiale%20de%20Lowe

Record 46,  Textual support,  Spanish

Record 47,  Textual support,  English

Record number: 47, Textual support number: 1 DEF

A family of linear error-correcting or error-detecting block codes, easily implemented as polynomial codes(by means of shift registers).  2, record 47, English, - simplex%20codes

Record 47,  Textual support,  French

Record 47,  Textual support,  Spanish

Record number: 47, Textual support number: 1 DEF

Familia de códigos lineales de bloques, para la detección o corrección de errores, fácilmente implementados como códigos polinómicos (mediante registros de corrimiento).  1, record 47, Spanish, - c%C3%B3digos%20simplex

Record 48,  Textual support,  English

Record number: 48, Textual support number: 1 DEF

The coefficient of the highest degree term in a polynomial.  3, record 48, English, - highest%20degree%20coefficient

Record 48,  Textual support,  French

Record number: 48, Textual support number: 1 DEF

Coefficient de la plus haute puissance.  1, record 48, French, - coefficient%20principal

Record 48,  Textual support,  Spanish

Record 49,  Textual support,  English

Record number: 49, Textual support number: 1 DEF

Equation in which highest exponent of variable is two.  2, record 49, English, - quadratic%20equation

Record number: 49, Textual support number: 1 OBS

A polynomial equation of the second degree.  2, record 49, English, - quadratic%20equation

Record 49,  Textual support,  French

Record number: 49, Textual support number: 1 DEF

Équation du second degré.  1, record 49, French, - %C3%A9quation%20quadratique

Record 49,  Textual support,  Spanish

Record 50,  Textual support,  English

Record number: 50, Textual support number: 1 DEF

An equation obtained by setting a polynomial equal to zero.  1, record 50, English, - polynomial%20equation

Record 50,  Textual support,  French

Record 50,  Textual support,  Spanish

Record 51,  Textual support,  English

Record number: 51, Textual support number: 1 CONT

The ZAF and PAP correction schemes are based on first principles and provide data reduction for all operating conditions. The PAP method uses a modified version of the phi(rho-Z) polynomial used in standard ZAF correction scheme which better accounts for the depth distribution of energies produced from the sample. Otherwise, PAP is identical to ZAF.  1, record 51, English, - ZAF%20correction

Record 51,  Textual support,  French

Record number: 51, Textual support number: 1 CONT

[...] une correction ZAF permet de tenir compte de l'influence du numéro atomique des éléments sur l'efficacité de l'excitation et de la détection (facteur Z), de la probabilité qu'un rayon «x» soit réabsorbé avant même d'être détecté (facteur A) et de la contribution des rayons «x» émis d'un élément suite à l'absorption d'un rayon «x» émis par un autre élément (fluorescence secondaire, facteur F).  1, record 51, French, - correction%20ZAF

Record 51,  Textual support,  Spanish

Record 52,  Textual support,  English

Record number: 52, Textual support number: 1 CONT

The smoothed proportions denoted by vector H were derived from the empirical values by polynomial smoothing, though a graphical smoothing method would also suffice.  1, record 52, English, - smoothed

Record 52,  Textual support,  French

Record 52,  Textual support,  Spanish

Record 53,  Textual support,  French

Record 53,  Textual support,  Spanish

Record 54,  Textual support,  French

Record 54,  Textual support,  Spanish

Record 55,  Textual support,  English

Record number: 55, Textual support number: 1 OBS

polynomial theory  1, record 55, English, - primitive%20root

Record 55,  Textual support,  French

Record 55,  Textual support,  Spanish

Record 56,  Textual support,  English

Record number: 56, Textual support number: 1 OBS

error correction  1, record 56, English, - error%20and%20erasure%20locator%20polynomial

Record 56,  Textual support,  French

Record 56,  Textual support,  Spanish

Record 57,  Textual support,  English

Record number: 57, Textual support number: 1 OBS

error correction  1, record 57, English, - evaluator%20polynomial

Record 57,  Textual support,  French

Record 57,  Textual support,  Spanish

Record 58,  Textual support,  English

Record number: 58, Textual support number: 1 OBS

error correction  1, record 58, English, - error%20and%20erasure%20evaluator%20polynomial

Record 58,  Textual support,  French

Record 58,  Textual support,  Spanish

Record 59,  Textual support,  English

Record number: 59, Textual support number: 1 OBS

error correction  1, record 59, English, - syndrome%20polynomial

Record 59,  Textual support,  French

Record 59,  Textual support,  Spanish

Record 60,  Textual support,  English

Record number: 60, Textual support number: 1 OBS

(N is an integer value)  1, record 60, English, - Nth%20order%20generating%20polynomial

Record 60,  Textual support,  French

Record 60,  Textual support,  Spanish

Record 61,  Textual support,  English

Record number: 61, Textual support number: 1 CONT

When the objects in the scene have been defined, the next phase is to pass the object description to the image-synthesis programs for rendering. Current image-synthesis algorithms work either with polygonal descriptions or with polynomial or other higher-order definitions of mathematical surfaces.  1, record 61, English, - image%2Dsynthesis%20algorithm

Record 61,  Textual support,  French

Record 61,  Textual support,  Spanish

Record number: 61, Textual support number: 1 CONT

Los algoritmos de síntesis de imagen han avanzado ya lo suficiente como para establecer incluso sutiles matices de luz y sombra.  1, record 61, Spanish, - algoritmo%20de%20s%C3%ADntesis%20de%20imagen

Record 62,  Textual support,  French