Algebraic expressionIn mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expression. Since taking the square root is the same as raising to the power 1/2, the following is also an algebraic expression: An algebraic equation is an equation involving only algebraic expressions.
Expression de forme ferméeEn mathématiques, une expression de forme fermée (également appelée expression fermée, expression de forme close, expression close ou expression explicite) est une expression mathématique pouvant s'obtenir par une combinaison de nombres ou de fonctions et d'opérations de référence. On emploie parfois le terme formule à la place du terme expression : formule de forme fermée, formule explicite, formule de forme close, etc. Le plus souvent, cette terminologie s'emploie pour des solutions d'équations ou de systèmes d'équations.
Wirtinger derivativesIn complex analysis of one and several complex variables, Wirtinger derivatives (sometimes also called Wirtinger operators), named after Wilhelm Wirtinger who introduced them in 1927 in the course of his studies on the theory of functions of several complex variables, are partial differential operators of the first order which behave in a very similar manner to the ordinary derivatives with respect to one real variable, when applied to holomorphic functions, antiholomorphic functions or simply differentiabl
Expression (mathématiques)In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context. Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax. Many authors distinguish an expression from a formula, the former denoting a mathematical object, and the latter denoting a statement about mathematical objects.
Théorème des accroissements finisEn analyse, le théorème des accroissements finis (en abrégé : TAF) est à la fois une généralisation et un corollaire du théorème de Rolle. Pour toute fonction dérivable d'une variable réelle, son taux d'accroissement entre deux valeurs est réalisable comme pente d'une des tangentes à son graphe. Graphiquement, le théorème des accroissements finis indique que, pour toute droite sécante en deux points à une courbe différentiable, il existe, entre ces deux points, une tangente parallèle à la sécante.
Mathematical constantA mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a special symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. Constants arise in many areas of mathematics, with constants such as e and pi occurring in such diverse contexts as geometry, number theory, statistics, and calculus. Some constants arise naturally by a fundamental principle or intrinsic property, such as the ratio between the circumference and diameter of a circle (pi).
Mathematical objectA mathematical object is an abstract concept arising in mathematics. In the usual language of mathematics, an object is anything that has been (or could be) formally defined, and with which one may do deductive reasoning and mathematical proofs. Typically, a mathematical object can be a value that can be assigned to a variable, and therefore can be involved in formulas. Commonly encountered mathematical objects include numbers, sets, functions, expressions, geometric objects, transformations of other mathematical objects, and spaces.
