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Basis (linear algebra)

Known as: Algebraic basis, Coordinate (vector space), Cone basis 
In mathematics, a set of elements (vectors) in a vector space V is called a basis, or a set of basis vectors, if the vectors are linearly independent… 
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Related topics

Related topics

50 relations
Angular momentum operatorBasis functionBell stateBernstein polynomial

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2017
Highly Cited
2017
A Unified Transmission Strategy for TDD/FDD Massive MIMO Systems With Spatial Basis Expansion Model
This paper proposes a unified transmission strategy for multiuser time division duplex (TDD)/frequency division duplex (FDD… 
Review
2016
Review
2016
Help or hindrance? The travel, energy and carbon impacts of highly automated vehicles
Highly Cited
2012
Highly Cited
2012
BSIF: Binarized statistical image features
This paper proposes a method for constructing local image descriptors which efficiently encode texture information and are… 
Highly Cited
2008
Highly Cited
2008
Nonrigid Structure from Motion in Trajectory Space
Existing approaches to nonrigid structure from motion assume that the instantaneous 3D shape of a deforming object is a linear… 
Highly Cited
2008
Highly Cited
2008
Application of quantum cascade lasers to trace gas analysis
Quantum cascade (QC) lasers are virtually ideal mid-infrared sources for trace gas monitoring. They can be fabricated to operate… 
Highly Cited
2007
Highly Cited
2007
An Empirical Bayesian Strategy for Solving the Simultaneous Sparse Approximation Problem
Given a large overcomplete dictionary of basis vectors, the goal is to simultaneously represent L>1 signal vectors using… 
Highly Cited
2007
Highly Cited
2007
Comparable Preference Estimates across Time and Institutions for the Court, Congress, and Presidency
Empirically oriented scholars often struggle with how to measure preferences across time and institutional contexts. This article… 
Highly Cited
1983
Highly Cited
1983
On weighted Shapley values
Nonsymmetric Shapley values for coalitional form games with transferable utility are studied. The nonsymmetries are modeled… 
Highly Cited
1980
Highly Cited
1980
Approximation of Elliptic Boundary-Value Problems
✺ 1950’s: Finite differences and Rayleigh-Ritz-Galerkin ✺ FD: Young (1950) — over relaxation; faster iterative methods for large… 
Highly Cited
1976
Highly Cited
1976
The validity of the boussinesq approximation for liquids and gases
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