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Everything about Orthogonal complement
Concept in linear algebra
In the mathematical fields of linear algebra and functional analysis, the orthogonal complement of a subspace of a vector space equipped with a bilinear form is the set of all vectors in that are orthogonal to every vector in. Informally, it is called the perp, short for perpendicular complement. It is a subspace of. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Orthogonal complementA 5-minute orientation
- Skim a recent paper: Blind Estimation of Self-Synchronous Scrambler Using Orthogonal Complement Space in DSSS SystemsInfluential work since 2022
- Pick up a classic book: Computational Linguistics and Intelligent Text ProcessingThe most-reprinted book on the subject
- Read the landmark paper: Nonlinear Complementary Filters on the Special Orthogonal GroupCited 1,643 times
- Go sideways: Frame (linear algebra)A closely related topic
- Go sideways: Orthonormal basisA closely related topic
đź“– Definitions
Noun The set of all vectors which are orthogonal to a given set of vectors.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Nonlinear Complementary Filters on the Special Orthogonal Group
Complement-dependent Cytotoxicity in Neuromyelitis Optica Requires Aquaporin-4 Protein Assembly in Orthogonal Arrays
The Formulation of Dynamical Equations of Holonomic Mechanical Systems Using a Natural Orthogonal Complement
Dynamics of Serial Multibody Systems Using the Decoupled Natural Orthogonal Complement Matrices
Dynamics of Nonholonomic Mechanical Systems Using a Natural Orthogonal Complement
Hyperspectral Image Classification With Imbalanced Data Based on Orthogonal Complement Subspace Projection
Dynamic Simulation of n-Axis Serial Robotic Manipulators Using a Natural Orthogonal Complement
Orthogonal Complement Based Divide-and-Conquer Algorithm for constrained multibody systems
🆕 Influential since 2022
Blind Estimation of Self-Synchronous Scrambler Using Orthogonal Complement Space in DSSS Systems
Online fault detection for temperature sensors based on orthogonal-complement-structure observer and dynamic threshold algorithm
Orthogonal Complement-Driven Channel Estimation for Multi-RIS Wireless Systems
Hyponormal Dual Toeplitz Operators on the Orthogonal Complement of the Harmonic Bergman Space
Orthogonal Complement Subspace Projection for Hybrid Baseline Ocean Current Inversion
đź“š Books worth reading
Computational Linguistics and Intelligent Text ProcessingAlexander Gelbukh · 2003
Neuro-fuzzy and soft computingJyh-Shing Roger Jang, Chuen-Tsai Sun · 1996
Matrix tricks for linear statistical modelsSimo Puntanen · 2011
Coding the MatrixPhilip N. Klein · 2013- 📕Likelihood ratio tests on cointegrating vectors, disequilibrium adjustment vectors, and their orthogonal complementsNorman Morin · 2006
An introduction to multivariable mathematicsSimon, L. · 2008
Hilbert Spaces and Operators on Hilbert Spaces Functional Analysis Examples c-3Leif Mejlbro · 2013
Hilbert Spaces and Operators on Hilbert Spaces Functional Analysis Examples c-3Leif Mejlbro · 2013
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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