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...on) bounded away from 0. Consider the [[Quotient space (topology)|quotient space]]: ...University Press, 2002.</ref> <math>f_t:X_r\to X_r</math> induced by the [[time translation]] <math>T_t:X\times\mathbb{R}\to X\times\mathbb{R}, (x,s)\mapst ...

...global behavior. While the concept of [[function space]]s treating local and global behavior separately was already known earlier, '''Wiener amalgams''' ...org Feichtinger and Franz Luef</ref> with local component <math> X </math> and ...

...generated space|compactly generated]] [[locally convex topological vector space]] <math>X</math> having a ''universal compact set'', i.e. a compact set <ma ...ace|stereotype]] and are in the stereotype duality relations with [[Banach space]]s:{{sfn|Akbarov|2003|p=220}}{{sfn|Akbarov|2009|p=467}} ...

...> are a family of [[Banach space]]s defined by the behavior of the [[short-time Fourier transform]] with ...ulation space and has become a widely used space of [[test function]]s for time-frequency analysis. ...

...oller and a double integrator plant | Feedback system with a PD controller and a double integrator plant]] ...l system.<ref name=Maxwell1867>{{cite journal | author = Venkatesh G. Rao and Dennis S. Bernstein | title = Naive control of the double integrator | j ...

...plete]] [[compactly generated space|compactly generated]] [[locally convex space]] <math>X</math> having a sequence of compact sets <math>K_n</math> such th ...ce|stereotype]] and are in the stereotype duality relations with [[Fréchet space]]s:{{sfn|Akbarov|2003|p=220}}{{sfn|Akbarov|2009|p=466}} ...

...]. Among others the well established [[wavelet transform]] and the [[short-time Fourier transform]] are covered by the theory. ...phase space the corresponding functions will span a frame for the Hilbert space. ...

...g space transducer (LST)''' is a type of [[Turing machine]] used for [[log-space reduction]]s. A log space transducer, <math>M</math>, has three tapes: ...

...to a differential equation in an appropriate [[Normed vector space|normed space]] <math>(V,||\ ||)</math>. Consider a numerical approximation <math>u_h</ma where the constant <math>C</math> is independent of <math>h</math> and usually depends on the solution <math>u</math>.<ref>{{cite book|last=Ciarli ...

...alled '''BPLP''' (Bounded-error Probabilistic Logarithmic-space Polynomial-time),<ref>{{citation ...probabilistic polynomial|BPP]]''', which is similar but has no logarithmic space restriction. ...

...'') in the [[Plane (geometry)|plane]] such that {{nowrap|1=0 ≤ ''x'' ≤ 1}} and {{nowrap|1=0 ≤ ''y'' ≤ 1.}}{{sfnp|Steen|Seebach|1995|p=73}} ...her {{nowrap|1=''x'' < ''u''}} or '''both''' {{nowrap|1=''x'' = ''u''}} '''and''' {{nowrap|1=''y'' < ''v''}}. Stated symbolically, ...

...val ''T'') and/or periodic summation (at interval ''P'') of the underlying time-domain function.]] ...periodic summation''' of <math>S(f),</math> which is known as a [[discrete-time Fourier transform]]. ...

At the same time, [[gauge gravitation theory]] exemplifies [[covariant classical field theor ...ath>G(X) </math>. This group <math> \overline G(X)</math> acts freely on a space of irreducible principal connections. ...

...[[Banach space]]-valued functions, which provides a criterion for moving a time derivative of a function out of its action (as a functional) on the functio ...qual to a function continuous from <math>[0,T]</math> into <math>X</math>, and moreover the following equality holds in the sense of scalar [[distribution ...

...lgorithm]]|data=[[Array data structure|Array]]|space=<math>O(n+max)</math>|time=<math>O(n+max)</math>}} .../ref>. The algorithm is designed to sort integer values and has a time and space complexity of O(n), making it a linear sorting algorithm. ...

...c and can be used to evaluate clustering of events in time or locations in space.<ref name=MG1>[[Major Greenwood|Greenwood, Major]] (1946) The Statistical S In general, for a given sequence of events in time or space the statistic is given by:.<ref name=MG1/> ...

...al twistor is an association of a [[twistor space]] to each point of space-time, together with a conformally invariant connection that relates the twistor ...)</math> admits a fundamental representation, the [[spin representation]], and the [[associated bundle]] is the local twistor bundle. ...

...es form the smallest class that is closed under taking limits of sequences and contains all [[Adapted process|adapted]] left-continuous processes.{{clarif === Discrete-time process === ...

...ns and the Determination of Integral Length with Reference to Experimental and Numerical Data|journal=15th Australasian Fluid Mechanics Conference|date=13 ...ncept may be extended to [[turbulence]], where it may be thought of as the time during which a particle is influenced by its previous position. ...

...ct data format used to describe discrete events using coordinates in space-time. ...and is closely related to coordinate-based representations of [[tensor]]s and [[sparse matrix#Storage|matrices]]. ...