Results 21 to 30 of about 2,639,785 (60)
Spatial depth for data in metric spaces
Abstract We propose a novel measure of statistical depth, the metric spatial depth, for data residing in an arbitrary metric space. The measure assigns high (low) values for points located near (far away from) the bulk of the data distribution, allowing quantifying their centrality/outlyingness.
Joni Virta
wiley +1 more source
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
This review evaluates advanced intelligent fault diagnosis and resilient fault‐tolerant control strategies for modular multilevel converters (MMCs). It highlights how integrating machine learning with robust control architectures enhances reliability and operational continuity, providing a roadmap for developing more resilient, self‐healing power ...
Muhammad Haris Saleem +3 more
wiley +1 more source
On new multiple extension of Hilbert’s integral inequality (2) [PDF]
Via Laplace transformation some new generalization of Hardy-Hilbert’s integral inequality is ...
Sulaiman, W.T.
core +1 more source
Lax–Phillips orbit counting in higher rank
Abstract Given a discrete lattice, Γ
Alex Kontorovich, Christopher Lutsko
wiley +1 more source
On new multiple extension of Hilbert’s integral inequality [PDF]
This paper gives a new multiple extension of Hilbert’s integral inequality generalizing many known ...
Sulaiman, Waadallah Tawfeeq
core +1 more source
Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley +1 more source
HNN extensions and embedding theorems for groups
Abstract The Higman–Neumann–Neumann (HNN) paper of 1949 is a landmark of group theory in the 20th century. The proof of its main theorem covers less than a page and uses only pre‐existing technology, but the construction that it introduced, the HNN extension, quickly became one of the principal tools of combinatorial group theory, widely used to build ...
Martin R. Bridson +1 more
wiley +1 more source
Oil and the stock market revisited: A mixed functional VAR approach
This paper proposes a new mixed vector autoregression (MVAR) model to examine the relationship between aggregate time series and functional variables in a multivariate setting. The model facilitates a reexamination of the oil‐stock price nexus by estimating the effects of demand and supply shocks from the global market for crude oil on the entire ...
Hilde C. Bjørnland +2 more
wiley +1 more source
Some Inequalities in Inner Product Spaces Related to the Generalized Triangle Inequality [PDF]
In this paper we obtain some inequalities related to the generalized triangle and quadratic triangle inequalities for vectors in inner product spaces.
Dragomir, Sever S +2 more
core +4 more sources

