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...certain kind of object defined on a [[set (mathematics)|set]] of [[point (mathematics)|point]]s in some [[Polish space]] (for example, a scale might be defined o A ''scale'' on ''A'' is a countably infinite collection of norms ...

In mathematics, specifically in [[order theory]] and [[functional analysis]], a '''locally == Lattice semi-norms == ...

...ion|Hölder norm]] of the solution can be controlled in terms of the Hölder norms for the coefficient and source terms. Since these estimates assume by hypot The Schauder estimates are given in terms of weighted Hölder norms; the notation will follow that given in the text of {{harvs|txt|first=D.|la ...

In [[mathematics]], the '''three spheres inequality''' bounds the <math>L^2</math> norm of a |title=Logarithmic convexity for supremum norms of harmonic functions ...

...ng <math>\ell^1</math>-norms) and/or smoothness (using <math>\ell^2</math>-norms). Finally, <math>W</math> is in the space of matrices <math>\mathcal{H}</ma ...t2=Recht |first2=Benjamin |year=2009 |journal=Foundations of Computational Mathematics |volume=9 |issue=6 |pages=717–772 |doi=10.1007/s10208-009-9045-5 |doi-acces ...

...logical space]]s endowed with <math>\mathbb{R}^k</math>-valued [[Function (mathematics)|functions]], with respect to the change of these functions. More formally, ...name="FrLa09">Patrizio Frosini, Claudia Landi: Reparametrization invariant norms. Transactions of the American Mathematical Society 361:407&ndash;452, 2009. ...

{{Short description|Class of norms in additive combinatorics}} ...tics)|norms]] on [[function (mathematics)|functions]] on a finite [[Group (mathematics)|group]] or group-like object which quantify the amount of structure presen ...

The '''Minkowski distance''' or '''Minkowski metric''' is a [[Metric (mathematics)|metric]] in a [[normed vector space]] which can be considered as a general For <math>p \geq 1,</math> the Minkowski distance is a [[Metric (mathematics)|metric]] as a result of the [[Minkowski inequality]].<ref>{{citation ...

...5.</ref><ref>G. Lorentz, "On the theory of spaces Λ", ''Pacific Journal of Mathematics'' '''1''' (1951), pp. 411-429.</ref> are generalisations of the more famili ...he domain (<math>q</math>). The Lorentz norms, like the <math>L^{p}</math> norms, are invariant under arbitrary rearrangements of the values of a function. ...

In the [[Mathematics|mathematical]] field of [[functional analysis]], the space denoted by ''''' This is the [[Riesz representation theorem]] on the [[Ordinal (mathematics)|ordinal]] <math>\omega</math>. ...

...l/Prizes/ErdosPrize/Citations/erdos2011-cite.pdf|title=2011 Erdos Prize in Mathematics|publisher=Israel Mathematical Union|access-date=2015-08-02}}.</ref> ...and Manya Noskwith Chair of [[Mathematics]] at the [[Einstein Institute of Mathematics]] at the [[Hebrew University]]. ...

...ivisor]] matrix (sometimes abbreviated as '''GCD matrix''') is a [[matrix (mathematics)|matrix]] that may also be referred to as '''Smith's matrix'''. The study w == Matrix norms == ...

...t extends the logic [[Monoidal t-norm logic|MTL]] of all left-continuous t-norms. ...is always realized by the [[lattice (order)|lattice]] operation of [[meet (mathematics)|meet]] in algebraic semantics). Unlike [[Monoidal t-norm logic|MTL]] and w ...

...lysis]], the '''fundamental lemma of interpolation theory''' is a [[Lemma (mathematics)|lemma]] that establishes the relationship between different methods of [[i ...uples, there exists a decomposition with improved estimates on the [[norm (mathematics)|norm]]s of the components. Specifically, for <math>a \in \Sigma^c(\bar{A}) ...

...umbers are named after [[August Lösch]]. They are the [[Norm (mathematics)|norms]] of the [[Eisenstein integer]]s. They are a set of whole numbers, includin {{Series (mathematics)}} ...

In [[mathematics]], a '''uniformly smooth space''' is a [[normed vector space]] <math>X</mat | journal=[[Israel Journal of Mathematics]] ...

Consider the linear kernel [[Regularization (mathematics)|regularized]] [[empirical risk minimization]] problem with a loss function ...24 }}</ref><ref name="latentLasso" /> Consider the above [[Regularization (mathematics)|regularized]] [[empirical risk minimization]] problem with a general kerne ...

...lgebra]] and applications, '''matrix analysis''' is the study of [[matrix (mathematics)|matrices]] and their algebraic properties.<ref>{{cite book|title=Matrix An The set of all ''m''&thinsp;×&thinsp;''n'' matrices over a [[field (mathematics)|field]] ''F'' denoted in this article ''M''_''mn''(''F'') form a ...

A '''CUR matrix approximation''' is a set of three [[matrix (mathematics)|matrices]] that, when multiplied together, closely approximate a given mat ...itions, similarity matrices, and subspace clustering. Frontiers in Applied Mathematics and Statistics, 2019, Frontiers Media SA</ref> describe the following theor ...

...determine a [[distance set|set of distances]] that is large in [[Measure (mathematics)|measure]]. More precisely, if <math>S</math> is a [[compact set]] of point ...onzero measure must have a [[difference set]] that contains an [[interval (mathematics)|interval]] of the form <math> (-\varepsilon,\varepsilon)</math> for some < ...