Angular-Similarity-Preserving Binary Signatures for Linear Subspaces

2015 ◽  
Vol 24 (11) ◽  
pp. 4372-4380 ◽  
Author(s):  
Jianqiu Ji ◽  
Jianmin Li ◽  
Qi Tian ◽  
Shuicheng Yan ◽  
Bo Zhang
Keyword(s):  
Linear Subspaces ◽  
Similarity Preserving ◽  
Angular Similarity

scholarly journals EULER CLASSES: SIX-FUNCTORS FORMALISM, DUALITIES, INTEGRALITY AND LINEAR SUBSPACES OF COMPLETE INTERSECTIONS

2021 ◽  
pp. 1-66
Author(s):  
Tom Bachmann ◽  
Kirsten Wickelgren
Keyword(s):  
Commutative Algebra ◽  
Vector Bundles ◽  
Euler Class ◽  
Complete Intersections ◽  
Bilinear Forms ◽  
Euler Numbers ◽  
Coherent Sheaves ◽  
Linear Subspaces ◽  
Algebraic Vector

Abstract We equate various Euler classes of algebraic vector bundles, including those of [12] and one suggested by M. J. Hopkins, A. Raksit, and J.-P. Serre. We establish integrality results for this Euler class and give formulas for local indices at isolated zeros, both in terms of the six-functors formalism of coherent sheaves and as an explicit recipe in the commutative algebra of Scheja and Storch. As an application, we compute the Euler classes enriched in bilinear forms associated to arithmetic counts of d-planes on complete intersections in $\mathbb P^n$ in terms of topological Euler numbers over $\mathbb {R}$ and $\mathbb {C}$ .

scholarly journals Entire Analytic Functions of Unbounded Type on Banach Spaces and Their Lineability

Axioms ◽  
2021 ◽  
Vol 10 (3) ◽  
pp. 150
Author(s):  
Andriy Zagorodnyuk ◽  
Anna Hihliuk
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Analytic Functions ◽  
Entire Functions ◽  
Dimensional Algebra ◽  
Dimensional Banach Space ◽  
Infinite Dimensional ◽  
Linear Subspaces ◽  
Infinite Dimensional Banach Space

In the paper we establish some conditions under which a given sequence of polynomials on a Banach space X supports entire functions of unbounded type, and construct some counter examples. We show that if X is an infinite dimensional Banach space, then the set of entire functions of unbounded type can be represented as a union of infinite dimensional linear subspaces (without the origin). Moreover, we show that for some cases, the set of entire functions of unbounded type generated by a given sequence of polynomials contains an infinite dimensional algebra (without the origin). Some applications for symmetric analytic functions on Banach spaces are obtained.

sCOs: Semi-supervised co-selection by a similarity preserving approach

2021 ◽  
pp. 1-1
Author(s):  
Khalid Benabdeslem ◽  
Dou El Kefel Mansouri ◽  
Raywat Makkhongkaew
Keyword(s):  
Similarity Preserving

Spectral similarity-preserving hyperspectral band selection

2013 ◽  
Vol 4 (10) ◽  
pp. 969-978 ◽  
Author(s):  
Shijin Li ◽  
Yuelong Zhu ◽  
Dingsheng Wan ◽  
Jun Feng
Keyword(s):  
Band Selection ◽  
Spectral Similarity ◽  
Similarity Preserving
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