Circle packing in a circle: Difference between revisions

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WP:CHECKWIKI error fix #94. Stray ref tag. Do general fixes and cleanup if needed. - using AWB (10300)
 
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{{Notability|date=June 2011}}
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In mathematics, '''amalgam spaces''' categorize functions with regard to their local and global behavior. While the concept of [[function space]]s treating local and global behavior separately was already known earlier, '''Wiener amalgams''', as the term is used today, were introduced by [[Hans Georg Feichtinger]] in 1980. The concept is named after [[Norbert Wiener]].
 
Let <math> X </math> be a normed space with norm <math> \|\cdot \|_X </math>. Then the ''Wiener amalgam space''<ref>Wiener amalgam spaces for the Fundamental Identity of Gabor Analysis by Hans Georg Feichtinger and Franz Luef</ref> with local component <math> X </math> and
global component <math> L^p_m </math>, a [[Lp_space#Weighted_Lp_spaces|weighted <math>L^p</math> space]] with non-negative weight <math> m </math>, is defined by
 
:<math> W(X,L^p) = \left\{ f\ :\ \left(\int_{\mathbb{R}^d} \|f(\cdot)\bar{g}(\cdot-x)\|^p_X m(x)^p \, dx\right)^{1/p} < \infty\right\}, </math>
 
where <math> g </math> is a continuously differentiable, compactly supported function, such that <math> \sum_{x\in\mathbb{Z^d}} g(z-x) = 1 </math>, for all <math> z\in\mathbb{R}^d </math>. Again, the space defined is independent of <math> g </math>. As the definition suggests, Wiener amalgams are useful to describe functions showing characteristic local and global behavior.<ref>Foundations of Time-Frequency Analysis by Karlheinz Gröchenig</ref>
 
==References==
{{reflist}}
 
[[Category:Function spaces]]
 
 
{{mathanalysis-stub}}

Latest revision as of 07:55, 17 July 2014

And this, this agency now offers recreational paddles, whitewater paddles, SUP paddles, touring paddles and much more. These are typically accessible in assorted styles and also capacities. Recreational boat paddle series means Carlisle, discharge and also relationships as well as for touring event, this carries accent, vacation, harmony and additionally Carlisle. Many of these paddles make your undertaking more lively. You could potentially consider anybody ones based on the actual pastime and/or hobby you're going to bet.

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Yet another using kayak angler is in day fishing. Angling fans really love this situation gear because it is less expensive. And yet, ever since reef fishing is typically done in estimated conditions it is important for surfers in order to maintain the needed kayaks accessories. Examples include a variety of place variations, different paddles, store compartments, cock owners, or maybe developed-as part of Hobie pro angler entice tanks.