linear functional
Look at other dictionaries:
Linear functional — This article deals with linear maps from a vector space to its field of scalars. These maps may be functionals in the traditional sense of functions of functions, but this is not necessarily the case. In linear algebra, a linear functional… … Wikipedia
Positive linear functional — In mathematics, especially in functional analysis, a positive linear functional on an ordered vector space ( V , ≤) is a linear functional f on V so that for all positive elements v of V , that is v ge;0, it holds that:f(v)geq 0.In other words, a … Wikipedia
positive linear functional — noun A kind of linear functional which returns a non negative scalar when fed a non negative function as parameter … Wiktionary
Functional (mathematics) — In mathematics, a functional is traditionally a map from a vector space to the field underlying the vector space, which is usually the real numbers. In other words, it is a function that takes a vector as its argument or input and returns a… … Wikipedia
Linear algebra — R3 is a vector (linear) space, and lines and planes passing through the origin are vector subspaces in R3. Subspaces are a common object of study in linear algebra. Linear algebra is a branch of mathematics that studies vector spaces, also called … Wikipedia
Functional-theoretic algebra — In mathematics, a functional theoretic algebra is a unital associative algebra whose multiplication is defined by the action of two linear functionals.Let AF be a vector space over a field F , and let L 1 and L 2 be two linear functionals on AF… … Wikipedia
Functional integration — You may also be looking for functional integration (neurobiology) or functional integration (sociology). Functional integration is a collection of results in mathematics and physics where the domain of an integral is no longer a region of space,… … Wikipedia
Linear map — In mathematics, a linear map, linear mapping, linear transformation, or linear operator (in some contexts also called linear function) is a function between two vector spaces that preserves the operations of vector addition and scalar… … Wikipedia
Linear inequality — In mathematics a linear inequality is an inequality which involves a linear function.Formal definitionsWhen operating in terms of real numbers, linear inequalities are the ones written in the forms: f(x) < b ext{ or }f(x) leq b,where f(x) is a… … Wikipedia
Functional decomposition — refers broadly to the process of resolving a functional relationship into its constituent parts in such a way that the original function can be reconstructed (i.e., recomposed) from those parts by function composition. In general, this process of … Wikipedia
