What does linear functional mean?
Definitions for linear functional
lin·ear func·tion·al
This dictionary definitions page includes all the possible meanings, example usage and translations of the word linear functional.
Wiktionary
linear functionalnoun
A linear mapping from a vector space to its field of scalars.
Wikipedia
linear functional
In mathematics, a linear form (also known as a linear functional, a one-form, or a covector) is a linear map from a vector space to its field of scalars (often, the real numbers or the complex numbers). If V is a vector space over a field k, the set of all linear functionals from V to k is itself a vector space over k with addition and scalar multiplication defined pointwise. This space is called the dual space of V, or sometimes the algebraic dual space, when a topological dual space is also considered. It is often denoted Hom(V, k), or, when the field k is understood, V ∗ {\displaystyle V^{*}} ; other notations are also used, such as V ′ {\displaystyle V'} , V # {\displaystyle V^{\#}} or V ∨ . {\displaystyle V^{\vee }.} When vectors are represented by column vectors (as is common when a basis is fixed), then linear functionals are represented as row vectors, and their values on specific vectors are given by matrix products (with the row vector on the left).
Numerology
Chaldean Numerology
The numerical value of linear functional in Chaldean Numerology is: 6
Pythagorean Numerology
The numerical value of linear functional in Pythagorean Numerology is: 3
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"linear functional." Definitions.net. STANDS4 LLC, 2024. Web. 18 Apr. 2024. <https://www.definitions.net/definition/linear+functional>.
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