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Basis function
Known as:
Basis Functions
, Blending function
, Fourier basis
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In mathematics, a basis function is an element of a particular basis for a function space. Every continuous function in the function space can be…
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Related topics
Related topics
38 relations
Approximation theory
Automatic basis function construction
Basis (linear algebra)
Basis set (chemistry)
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Broader (2)
Linear algebra
Numerical linear algebra
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2009
Highly Cited
2009
Ab initio molecular simulations with numeric atom-centered orbitals
V. Blum
,
R. Gehrke
,
+5 authors
M. Scheffler
Computer Physics Communications
2009
Corpus ID: 8221410
Review
2009
Review
2009
ABINIT: First-principles approach to material and nanosystem properties
X. Gonze
,
B. Amadon
,
+30 authors
J. Zwanziger
Computer Physics Communications
2009
Corpus ID: 18407866
Highly Cited
2007
Highly Cited
2007
ON BETWEEN-COEFFICIENT CONTRAST MASKING OF DCT BASIS FUNCTIONS
N. Ponomarenko
,
F. Silvestri
,
K. Egiazarian
,
M. Carli
,
J. Astola
,
V. Lukin
2007
Corpus ID: 7057277
In this paper we propose a simple and effective model of visual between-coefficient contrast masking of DCT basis functions based…
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Highly Cited
2003
Highly Cited
2003
Effectiveness of Diffuse Basis Functions for Calculating Relative Energies by Density Functional Theory
B. Lynch
,
Yan Zhao
,
D. Truhlar
2003
Corpus ID: 95329380
The addition of diffuse functions to a double-ζ basis set is shown to be more important than increasing to a triple-ζ basis when…
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Highly Cited
2002
Highly Cited
2002
Varying‐coefficient models and basis function approximations for the analysis of repeated measurements
Jianhua Z. Huang
,
Colin O. Wu
,
Lan Zhou
2002
Corpus ID: 6488710
A global smoothing procedure is developed using basis function approximations for estimating the parameters of a varying…
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Highly Cited
2001
Highly Cited
2001
6‐31G* basis set for third‐row atoms
V. Rassolov
,
M. Ratner
,
J. Pople
,
P. Redfern
,
L. Curtiss
Journal of Computational Chemistry
2001
Corpus ID: 42569377
Medium basis sets based upon contractions of Gaussian primitives are developed for the third‐row elements Ga through Kr. The…
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Highly Cited
2000
Highly Cited
2000
A Posteriori Error Estimation in Finite Element Analysis
M. Ainsworth
,
J. Oden
2000
Corpus ID: 15470194
This monograph presents a summary account of the subject of a posteriori error estimation for finite element approximations of…
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Highly Cited
1996
Highly Cited
1996
A cellular texture basis function
Steven Worley
International Conference on Computer Graphics and…
1996
Corpus ID: 2759214
Solid texturing is a powerful way to add detail to the surface of rendered objects. Perlin’s “noise” is a 3D basis function used…
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Highly Cited
1992
Highly Cited
1992
Fully optimized contracted Gaussian basis sets for atoms Li to Kr
A. Schäfer
,
Hans W. Horn
,
R. Ahlrichs
1992
Corpus ID: 55577275
Various contracted Gaussian basis sets for atoms up to Kr are presented which have been determined by optimizing atomic self…
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Highly Cited
1986
Highly Cited
1986
Basis Set Selection for Molecular Calculations
E. Davidson
,
D. Feller
1986
Corpus ID: 54664730
The quantum chemistry literature containa references to a plethora of basis seta, currently numbering almost 100. While…
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