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- {{Short description|Type of mathematical fractal space}} ...090/S0273-0979-07-01140-8 |doi-access=free}}</ref> are a class of [[metric space]]s which are [[fractal]], in the sense that they have non-integer [[Hausdor ...5 KB (824 words) - 21:21, 8 January 2025
- ...geometry.<ref>{{Cite journal |last=Egozcue |first=Juan José |title=Hilbert space of probability density functions based on Aitchison geometry |journal=Acta ...alent if they are proportional. In case of finite base measures, [[Hilbert space]] structure can be achieved by defining a [[Compositional data#Linear trans ...7 KB (999 words) - 05:23, 28 February 2025
- ...f>{{cite web |title=Convex space |url=https://ncatlab.org/nlab/show/convex+space |website=nLab |access-date=3 April 2023}}</ref><ref>{{cite arXiv |last1=Fri A convex space can be defined as a set <math>X</math> equipped with a binary convex combin ...2 KB (348 words) - 17:19, 2 February 2024
- ...bert C. ''A Non-Reflexive Banach Space Isometric With Its Second Conjugate Space.'' Proceedings of the National Academy of Sciences of the United States of ...dual]], while not being [[reflexive space|reflexive]]. Furthermore, James' space has a [[Schauder basis|basis]], while having no [[Schauder basis#Unconditio ...3 KB (387 words) - 05:00, 24 April 2024
- ...f some [[Closed set|closed]] [[Isolated point|discrete]] [[subset]] of the space. ...eighborhood to each element in the set. More formally, given a topological space <math>X</math>. An open neighborhood assignment is a function <math>f: X \t ...3 KB (428 words) - 03:54, 27 September 2024
- {{Short description|Pathological topological space}} ...o the comb space. The '''deleted comb space''' is a variation on the comb space. ...5 KB (689 words) - 20:34, 24 January 2025
- In [[general topology]], a '''polytopological space''' consists of a [[set (mathematics)|set]] <math>X</math> together with a [ An <math>L</math>'''-topological space''' <math>(X,\tau)</math> ...5 KB (650 words) - 00:52, 20 September 2024
- {{Short description|Metric space with double measurement}} ...''/2}} can cover any disk of radius {{mvar|r}}, so the plane is a doubling space with doubling constant 7 and doubling dimension log<sub>2</sub> 7.]] ...7 KB (1,092 words) - 23:00, 29 July 2024
- ...Hilbert space]] of [[holomorphic function]]s, contained within the [[Hardy space]] <math>H^2(\Omega)</math>, for which the ''Dirichlet integral'', defined The Dirichlet space is not an [[Algebra over a field|algebra]], but the space <math>\mathcal{D}(\Omega) \cap H^\infty(\Omega)</math> is a [[Banach algebr ...4 KB (605 words) - 17:43, 25 October 2016
- ...Terminated with Space Cloth.png|thumb|300px|Coaxial cable terminated with space cloth (green).]] ...e TEM mode in a transmission line consisting of perfect conductors in free space.<ref>Waves, Berkeley Physics Course Volume 3, p. 230</ref> }} The calculat ...7 KB (1,044 words) - 14:52, 22 November 2024
- {{Short description|Topological space}} {{DISPLAYTITLE:γ-space}} ...5 KB (844 words) - 15:09, 8 December 2024
- {{Short description|Space of bounded sequences}} ...[[functional analysis]], the space denoted by '''''c''''' is the [[vector space]] of all [[convergent sequence]]s <math>\left(x_n\right)</math> of [[real n ...2 KB (312 words) - 12:46, 12 March 2024
- [[File:Space cardioid.jpg|thumb|right|230px|A space cardioid introduction at [[Georgia Tech]]]] The '''space cardioid''' is a [[3-dimensional]] [[curve]] derived from the [[cardioid]]. ...832 bytes (105 words) - 01:49, 28 April 2024
- {{Short description|Space where open mapping and closed graph theorems hold}} ...for a wider class of [[linear map]]s whose codomains are webbed spaces. A space is called webbed if there exists a collection of [[Set (mathematics)|set]]s ...8 KB (1,282 words) - 23:22, 2 November 2022
- ...tions]], since for certain values of <math>\lambda</math>, elements of the space <math>L^{\lambda,p}(\Omega)</math> are [[Hölder condition|Hölder continuous ...e [[Lebesgue differentiation theorem]]. When <math>\lambda > n</math>, the space contains only the 0 function. ...3 KB (468 words) - 13:34, 19 January 2020
- ...l power]] of an [[Alexandroff one-point compactification]] of a [[discrete space]]. .../> the latter of whom introduced the concept of the more general [[centred space]]s.<ref name="Hart2003"/> ...22 KB (3,643 words) - 03:02, 30 May 2024
- In the [[Mathematics|mathematical]] field of [[functional analysis]], the space '''bs''' consists of all infinite [[Sequence (mathematics)|sequences]] (''x ...ite. The set of such sequences forms a [[normed space]] with the [[vector space]] operations defined [[Componentwise operation|componentwise]], and the nor ...2 KB (273 words) - 03:11, 7 February 2025
- {{short description|Ordered topological space with special properties}} ...s]], a '''Priestley space''' is an [[partial order|ordered]] [[topological space]] with special properties. Priestley spaces are named after [[Hilary Priest ...10 KB (1,366 words) - 03:40, 19 December 2020
- ...l vector space]] (TVS) <math>X</math> is '''''B''-complete''' or a '''Ptak space''' if every subspace <math>Q \subseteq X^{\prime}</math> is closed in the w ...ally convex topological vector space|locally convex]] [[topological vector space]] (TVS). ...4 KB (719 words) - 04:52, 18 October 2021
- ...urwitz spaces''' are [[Moduli space|moduli spaces]] of ramified [[Covering space|covers]] of the [[projective line]], and they are related to the [[moduli o A motivation for constructing a moduli space of <math>G</math>-covers (i.e., geometrically connected Galois covers of <m ...17 KB (2,752 words) - 14:08, 13 November 2024
Page text matches
- ...size of the output). The computation is generally done by means of a [[log-space transducer]]. == Log-space reductions == ...1 KB (156 words) - 12:33, 20 July 2022
- ...riants of topological properties|pairwise Hausdorff]], and [[bitopological space#Bitopological variants of topological properties|pairwise zero-dimensional] Pairwise Stone spaces are a bitopological version of the [[Stone space]]s. ...1 KB (183 words) - 03:50, 20 January 2023
- {{short description|Space formed by the ''n''-tuples of complex numbers}} ...ple]]s of [[complex number]]s, also known as ''[[complex vector]]s''. The space is denoted <math>\Complex^n</math>, and is the ''n''-fold [[Cartesian produ ...2 KB (289 words) - 17:10, 4 September 2024
- ...], more specifically in [[functional analysis]], a '''K-space''' is an [[F-space]] <math>V</math> such that every extension of F-spaces (or twisted sum) of ...l one<ref name="kalton">Kalton, N. J.; Peck, N. T.; Roberts, James W. An F-space sampler. London Mathematical Society Lecture Note Series, 89. Cambridge Uni ...1 KB (176 words) - 00:26, 3 November 2022
- ...Thus, every compact Hausdorff space is H-closed. The notion of an H-closed space has been introduced in 1924 by [[Pavel Alexandrov|P. Alexandroff]] and [[Pa * Every [[regular space|regular]] Hausdorff H-closed space is compact. ...1 KB (172 words) - 12:25, 16 January 2021
- ...[[real line]], the [[Cantor set]] and the [[Baire space (set theory)|Baire space]] are all effective Polish spaces. An effective Polish space is a complete separable metric space ''X'' with metric ''d'' such that there is a countable dense set ''C'' = (' ...1 KB (178 words) - 08:45, 6 March 2024
- {{Short description|On the dimension of vector space duals}} ...compute the exact dimension of any [[Vector space#Function space|function space]]. ...2 KB (304 words) - 07:53, 25 June 2024
- ...en the machine produces the group completion <math>BS \to K(S)</math>. The space <math>K(S)</math> may be described by the [[K-theory spectrum]] of ''S''. equivalence of all infinite loop space machines<ref>[https://www.ams.org/notices/199608/comm-thomason.pdf Charles ...1 KB (176 words) - 15:01, 19 July 2024
- ...ded countable union of [[equicontinuous]] subsets of its [[continuous dual space]] is again equicontinuous. This property is a generalization of [[quasibarrelled space]]s. ...4 KB (487 words) - 00:26, 3 November 2022
- ...motopy Theory - Fiber sequences]</ref> In other words, it is the [[mapping space]] from <math>(I, 0)</math> to <math>(X, *)</math>. ...ref> The maps from <math>I</math> to ''X'' are called free paths. The path space <math>PX</math> is then the pullback of <math>X^I \to X, \, \chi \mapsto \c ...2 KB (265 words) - 19:08, 12 December 2024
- ...'''abstract ''L''-space''', an '''AL-space''', or an '''abstract Lebesgue space''' is a [[Banach lattice]] <math>(X, \| \cdot \|)</math> whose norm is addi In [[probability theory]], it means the [[standard probability space]].<ref>{{citation |title=Stationary Stochastic Processes|author=Takeyuki Hi ...2 KB (309 words) - 00:10, 3 November 2022
- In the [[Mathematics|mathematical]] field of [[functional analysis]], the space '''bs''' consists of all infinite [[Sequence (mathematics)|sequences]] (''x ...ite. The set of such sequences forms a [[normed space]] with the [[vector space]] operations defined [[Componentwise operation|componentwise]], and the nor ...2 KB (273 words) - 03:11, 7 February 2025
- ...ded countable union of [[equicontinuous]] subsets of its [[continuous dual space]] is again equicontinuous. This property is a generalization of [[barrelled space]]s. ...4 KB (561 words) - 00:26, 3 November 2022
- ...on|acts]] trivially on the homotopy and homology of the universal covering space,<!-- what about principal fibration? --> though not all authors include the For example, any [[topological group]] is a simple space (provided it satisfies the condition on the homotopy type). ...1 KB (216 words) - 02:45, 8 March 2024
- ...bert C. ''A Non-Reflexive Banach Space Isometric With Its Second Conjugate Space.'' Proceedings of the National Academy of Sciences of the United States of ...dual]], while not being [[reflexive space|reflexive]]. Furthermore, James' space has a [[Schauder basis|basis]], while having no [[Schauder basis#Unconditio ...3 KB (387 words) - 05:00, 24 April 2024
- {{Short description|Mathematical space}} ...specially in [[real algebraic geometry]], a '''semialgebraic space''' is a space which is locally isomorphic to a [[semialgebraic set]]. ...1 KB (176 words) - 08:37, 8 May 2023
- ...c topology]], a '''Poincaré space''' is an ''n''-dimensional [[topological space]] with a distinguished element ''μ'' of its ''n''th [[homology group]] such | title=Poincaré space ...2 KB (224 words) - 00:04, 19 May 2024
- {{Short description|Space of bounded sequences}} ...[[functional analysis]], the space denoted by '''''c''''' is the [[vector space]] of all [[convergent sequence]]s <math>\left(x_n\right)</math> of [[real n ...2 KB (312 words) - 12:46, 12 March 2024
- [[File:Space cardioid.jpg|thumb|right|230px|A space cardioid introduction at [[Georgia Tech]]]] The '''space cardioid''' is a [[3-dimensional]] [[curve]] derived from the [[cardioid]]. ...832 bytes (105 words) - 01:49, 28 April 2024
- ...he [[Mathematics|mathematical]] field of [[functional analysis]], [[Banach space]]s are among the most important objects of study. In other areas of [[math * The [[Asplund space]]s ...2 KB (351 words) - 00:44, 27 July 2024