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Everything about Basis function
Element of a basis for a function space
In mathematics, a basis function is an element of a particular basis for a function space. Every function in the function space can be represented as a linear combination of basis functions. In finite-dimensional vector spaces, this representation is purely algebraic and involves only finitely many basis functions, whereas in infinite-dimensional settings it may take the form of an infinite series or another limiting process whose convergence depends on the topology of the space. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Basis functionA 5-minute orientation
- Skim a recent paper: The molecular basis for cellular function of intrinsically disordered protein regionsInfluential work since 2022
- Pick up a classic book: A primer on radial basis functions with applications to the geosciencesThe most-reprinted book on the subject
- Read the landmark paper: Self-consistent molecular orbital methods. XX. A basis set for correlated wave functionsCited 17,435 times
- Go sideways: Basis (linear algebra)A closely related topic
- Go sideways: List of numerical analysis topicsA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Self-consistent molecular orbital methods. XX. A basis set for correlated wave functions
Electron affinities of the first-row atoms revisited. Systematic basis sets and wave functions
Self-consistent molecular orbital methods 25. Supplementary functions for Gaussian basis sets
Efficient diffuse function‐augmented basis sets for anion calculations. III. The 3‐21+G basis set for first‐row elements, Li–F
🆕 Influential since 2022
The molecular basis for cellular function of intrinsically disordered protein regions
Pro-phagocytic function and structural basis of GPR84 signaling
Basis-Function Models in Spatial Statistics
Structural basis of phosphatidylinositol 3-kinase C2α function
A review of radial basis function with applications explored
📚 Books worth reading
A primer on radial basis functions with applications to the geosciencesBengt Fornberg · 2015
Molecular wave functions and properties: tabulated from SCF calculations in a Gaussian basis setLawrence C. Snyder, L.C. Snyder · 1972
Construction of Global Lyapunov Functions Using Radial Basis Functions (Lecture Notes in Mathematics, No. 1904)Peter Giesl · 2007
RADIAL BASIS FUNCTIONSMARTIN D. BUHMANN- 📕Regional gravity field modelling with radial basis functionsTobias Wittwer · 2009
- 📕Regional gravity field modeling with radial basis functionsTobias Wittwer · 2009
Bases in function spaces, sampling, discrepancy, numerical integrationHans Triebel · 2010
Schauder bases in Banach spaces of continuous functionsZbigniew Semadeni · 1982
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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