Results 11 to 20 of about 5,194,343 (263)
Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale [PDF]
I show that it is possible to formulate the Relativity postulates in a way that does not lead to inconsistencies in the case of space-times whose short-distance structure is governed by an observer-independent length scale.
Aloisio R.+4 more
core +2 more sources
Kernel-Induced Label Propagation by Mapping for Semi-Supervised Classification
Kernel methods have been successfully applied to the areas of pattern recognition and data mining. In this paper, we mainly discuss the issue of propagating labels in kernel space.
Jia, Lei+5 more
core +1 more source
In this research work, we use the concepts of contraction mapping to establish the existence and uniqueness results and also study the averaging principle in Lp space by using Jensen’s, Grönwall–Bellman’s, Hölder’s, and Burkholder–Davis–Gundy’s ...
Abdelhamid Mohammed Djaouti+3 more
semanticscholar +1 more source
Inapproximability of Clustering in Lp Metrics
Proving hardness of approximation for min-sum objectives is an infamous challenge. For classic problems such as the Traveling Salesman problem, the Steiner tree problem, or the k-means and k-median problems, the best known inapproximability bounds for L ...
Vincent Cohen-Addad, Karthik C. S.
semanticscholar +1 more source
AbstractMultiresolution analysis plays a major role in wavelet theory. In this paper, multiresolution of Lp spaces is studied. Let S be a shift-invariant subspace of Lp(Rs) (1≤p≤∞) generated by a finite number of functions with compact support, and let Sk be the 2k-dilate of S for each integer k∈Z.
openaire +2 more sources
Banach space projections and Petrov-Galerkin estimates [PDF]
We sharpen the classic a priori error estimate of Babuska for Petrov-Galerkin methods on a Banach space. In particular, we do so by (i) introducing a new constant, called the Banach-Mazur constant, to describe the geometry of a normed vector space; (ii ...
Stern, Ari
core +1 more source
Strong uniqueness in Lp spaces
AbstractLet V be a finite dimensional subspace of Lp, 1 < p < ∞. For f ϵ Lp/V, it is shown that the best approximation to f from V is strongly unique of order α = 2 or p. Let V be an n-dimensional Haar subspace of L1[a, b], the continuous functions on [a, b] with the L1 norm.
James Angelos, Alan Egger
openaire +2 more sources
$L^p$-norm inequality using q-moment and its applications
For a measurable function on a set which has a finite measure, an inequality holds between two Lp-norms. In this paper, we show similar inequalities for the Euclidean space and the Lebesgue measure by using a q-moment which is a moment of an escort ...
Nishiyama, Tomohiro
core +1 more source
The power of microRNA regulation—insights into immunity and metabolism
MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto+2 more
wiley +1 more source
Rosenthal's theorem for subspaces of noncommutative Lp [PDF]
We show that a reflexive subspace of the predual of a von Neumann algebra embeds into a noncommutative Lp space for some p>1. This is a noncommutative version of Rosenthal's result for commutative Lp spaces.
Junge, Marius, Parcet, Javier
core +1 more source