Fixing a field F of characteristic different from 2 and 3, we consider pairs (A, V ) consisting of a degree 3 central simple F -algebra A and a 3-dimensional vector subspace V of the reduced trace zero elements of A which is totally isotropic for the trace quadratic form. Each such pair gives rise to a cubic form mapping an element of V to its cube; therefore we call it a cubic pair over F . Us...

Classes of solutions, asymptotic in small parameter , → 0, are constructed to the generalized nonlinear Schrödinger equation (NSE) in a multi-dimensional space with an external field in the framework of the WKB-Maslov method. Asymptotic semiclassically concentrated solutions (SCS), regarded as multi-dimensional solitary waves, are introduced for the NSE with an external field and cubic local no...

This paper presents new vector filter banks, in particular biorthogonal Hermite cubic multiwavelets with short, smooth duals. We study different preprocessing techniques and the covariance structure of corresponding transforms. Results of numerical experiments in signal denoising and image compression using multi-filters are discussed. We compare the performance of several multi-filters with th...

This letter presents an unsupervised feature selection method based on machine learning. Feature is important component of artificial intelligence, learning, which can effectively solve the curse dimensionality problem. Since most labeled data expensive to obtain, this paper focuses method. The distance metric traditional algorithms usually Euclidean distance, and it maybe unreasonable map high...

Magnetic Resonance in MedicineVolume 89, Issue 6 p. 1-1 COVER IMAGEFree Access Multi-echo dipole inversion for magnetic susceptibility mapping First published: 27 March 2023 https://doi.org/10.1002/mrm.29651AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text full-text accessPlease review our Terms and Conditions of Use check box be...