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Everything about Linear form
Linear map from a vector space to its field of scalars
In mathematics, a linear form is a linear map from a vector space to its field of scalars. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Linear formA 5-minute orientation
- Skim a recent paper: MB-TaylorFormer V2: Improved Multi-Branch Linear Transformer Expanded by Taylor Formula for Image RestorationInfluential work since 2022
- Pick up a classic book: Pattern classificationThe most-reprinted book on the subject
- Read the landmark paper: A linear-time transformation of linear inequalities into conjunctive normal formCited 83 times
- Go sideways: Dual spaceA closely related topic
- Go sideways: Riesz representation theoremA closely related topic
📖 Definitions
Noun A linear functional.
🏆 Landmark papers (most cited)
A linear-time transformation of linear inequalities into conjunctive normal form
Testing Linear and Log-Linear Regressions for Functional Form
Fuzzy linear systems of the form
Form factor of salt-free linear polyelectrolytes
Epidermolytic hyperkeratosis: generalized form in children from parents with systematized linear form
Distributed computation in linear networks: closed-form solutions
Maxwell form of the linear theory of gravitation
A canonical form for generalized linear constraints
🆕 Influential since 2022
MB-TaylorFormer V2: Improved Multi-Branch Linear Transformer Expanded by Taylor Formula for Image Restoration
Deep-learning-based gene perturbation effect prediction does not yet outperform simple linear baselines
LDConv: Linear deformable convolution for improving convolutional neural networks
An Optimal Iterative Learning Control Approach for Linear Systems With Nonuniform Trial Lengths Under Input Constraints
📚 Books worth reading
Pattern classificationRichard O. Duda, Peter E. Hart · 2001
Linear algebraE. Sernesi · 1993
Introduction to quadratic formsO. T. O'Meara · 1963
Stabilisation de la formule des traces tordueColette Moeglin, Jean-Loup Waldspurger · 2016- 📕Formes extérieures et leurs applicationsŚlebodziński, Władysław. · 1954
Matrix Completions Moments And Sums Of Hermitian SquaresHugo J. Woerdeman · 2011
Homogeneous linear substitutionsHarold Hilton · 1914
2-D quadratic maps and 3-D ODE systemsElhadj Zeraoulia · 2010
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Dual space In mathematics, every vector space V has a corresponding dual vector space (or just dual space for short) consisting of all linear forms on V, together…
- Riesz representation theorem The Riesz representation theorem, sometimes called the Riesz–Fréchet representation theorem after Frigyes Riesz and Maurice René Fréchet, establishes an…
- Locally convex topological vector space In functional analysis and related areas of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological…
- Complete topological vector space In functional analysis and related areas of mathematics, a complete topological vector space is a topological vector space (TVS) with the property that…
- Hahn–Banach theorem In functional analysis, the Hahn–Banach theorem is a central result that allows the extension of bounded linear functionals defined on a vector subspace…
- Topological vector space In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures…
- Continuous linear operator In functional analysis and related areas of mathematics, a continuous linear operator or continuous linear mapping is a continuous linear transformation…
- Weak topology In mathematics, weak topology is an alternative term for certain initial topologies, often on topological vector spaces or spaces of linear operators,…