Let M(S) be the Banach algebra of all bounded regular Borel measures on a locally compact Hausdorff semitopological semigroup S with variation norm and convolution as multiplication. We obtain necessary and sufficient conditions for M(S)∗ to have a topologically left invariant mean.

The recently introduced k-support norm has been successfully applied to sparse prediction problems with correlated features. This norm however lacks any explicit structural constraints commonly found in machine learning and image processing. We address this problem by incorporating a total variation penalty in the k-support framework. We introduce the (k, s) support total variation norm as the ...

We consider stable signal recovery in `q quasi-norm for 0 < q ≤ 1. In this problem, given a measurement vector y = Ax for some unknown signal vector x ∈ R and a known matrix A ∈ Rm×n, we want to recover z ∈ R with ‖x − z‖q = O(‖x − x‖q) from a measurement vector, where x∗ is the s-sparse vector closest to x in `q quasi-norm. Although a small value of q is favorable for measuring the distance to...

We introduce nearly Frank t-norms as t-norms which are generated from Frank t-norms by means of a negation-preserving automorphism. We state basic properties of nearly Frank t-norms and we show their speci c role in the characterization of T -measures. 1 Basic facts about T -norms A t-norm (fuzzy conjunction) is a binary operation T : [0; 1]2 ! [0; 1] which is commutative, associative, nondecre...

Benoît Grévin / Florian Hartmann (Hg.), Der mittelalterliche Brief zwischen Norm und Praxis (Beihefte zum Archiv für Kulturgeschichte 92). Wien/Köln/Weimar: Böhlau 2020. 340 S. mit 7 s/w Abb. ISBN 978-3-412-51962-9. Geb. € 55,–

In this paper, we study shape matching under the current distance, a distance measure on shapes proposed by Vaillant and Glaunès [4]. This measure has four attractive properties. Firstly, it is global in nature, and thus does not require the determination of correspondences between features. Computing correspondences is often the most expensive part of computing distance between shapes. Secondl...

Problem 1 (a) We will compute theH2 norm ofG using state-space methods (see Section 2.6 in DFT). We begin by finding a minimal state-space representation of the system with transfer function G(s). Assuming u(0) = y(0) = 0 as usual, we have: sy(s) + 2sy(s) + sy(s) + y(s) = u(s) ⇔ ... y (t) + 2ÿ(t) + ẏ(t) + y(t) = u(t) Defining x1 = y, x2 = ẏ, x3 = ÿ, the corresponding state-space representation ...

we shall prove an existence inequality for two maps on banach algebra, withan example and in sequel we have some results on r and rn spaces. this waycan be applied for generalization of some subjects of mathematics in teachingwhich how we can extend a math problem to higher level.

background: breakfast cereal is a nutritious type of food that is widely consumed by various age groups in kuwait. this study investigates the presence of long-lived gamma emitters in breakfast cereal, and estimates annual effective doses to various age groups. materials and methods: breakfast cereal samples were collected from the kuwaiti local market. the samples originated from different cou...