In functional analysis, an F-space is a vector space X {\displaystyle X} over the real or complex numbers together with a metric d : X × X → R {\displaystyle...
7 KB (1,205 words) - 19:48, 30 June 2024
f ( t ) ≤ ‖ f ‖ p p t p {\displaystyle \lambda _{f}(t)\leq {\frac {\|f\|_{p}^{p}}{t^{p}}}} A function f {\displaystyle f} is said to be in the space weak...
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The John F. Kennedy Space Center (KSC, originally known as the NASA Launch Operations Center), located on Merritt Island, Florida, is one of the National...
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Let F {\displaystyle F} be a field. The column space of an m × n matrix with components from F {\displaystyle F} is a linear subspace of the m-space F m...
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vector space V {\displaystyle V} over the field F {\displaystyle F} can be written as dim F ( V ) {\displaystyle \dim _{F}(V)} or as [ V : F ] , {\displaystyle...
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derivative of f , {\displaystyle f,} and f ( 0 ) = f . {\displaystyle f^{(0)}=f.} In this Fréchet space, a sequence ( f n ) → f {\displaystyle \left(f_{n}\right)\to...
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probability theory, a probability space or a probability triple ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},P)} is a mathematical construct that...
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norm-preserving isomorphism of vector spaces f : F → X , {\displaystyle f:\mathbb {F} \to X,} where F {\displaystyle \mathbb {F} } is either R {\displaystyle...
34 KB (5,699 words) - 02:44, 6 September 2024
Fiber bundle (redirect from Base space)
similarity between a space E {\displaystyle E} and a product space B × F {\displaystyle B\times F} is defined using a continuous surjective map, π : E → B...
29 KB (4,085 words) - 13:01, 12 September 2024
compactly generated space in topology K-space (functional analysis) is an F-space such that every twisted sum by the real line splits K-Space (band), a British-Siberian...
629 bytes (118 words) - 05:25, 11 September 2023