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Everything about Generalized coordinates
System configuration relative to another
In analytical mechanics, generalized coordinates are a set of parameters used to represent the configuration of a system in a configuration space. These parameters must uniquely define the configuration of the system relative to a reference configuration. The generalized velocities are the time derivatives of the generalized coordinates of the system. The adjective "generalized" distinguishes these parameters from the traditional use of the term "coordinate" to refer to Cartesian coordinates. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Generalized coordinatesA 5-minute orientation
- Skim a recent paper: SYK coordinates neuroprotective microglial responses in neurodegenerative diseaseInfluential work since 2022
- Pick up a classic book: MacbethThe most-reprinted book on the subject
- Read the landmark paper: Regularization Paths for Generalized Linear Models via Coordinate DescentCited 15,377 times
- Go sideways: Lagrangian mechanicsA closely related topic
- Go sideways: Analytical mechanicsA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Regularization Paths for Generalized Linear Models via Coordinate Descent
General definition of ring puckering coordinates
Generalized Barycentric Coordinates on Irregular Polygons
Geometry optimization in generalized natural internal coordinates
Generalized barycentric coordinates and applications
The wave equation in generalized coordinates
Generalized spherical and simplicial coordinates
The Kerr spacetime in generalized Bondi–Sachs coordinates
🆕 Influential since 2022
SYK coordinates neuroprotective microglial responses in neurodegenerative disease
Accurate, Affordable and Unsupervised: Analytical F12 Gradients Driven by Generalized Internal Coordinates
Two-scale asymptotic homogenization analysis of piezoelectric composite materials in generalized curvilinear coordinates
Some New Estimates on Coordinates of Generalized Convex Interval-Valued Functions
Generalized Internal Coordinates for Creative Exploration of Interatomic Geometries
📚 Books worth reading
MacbethWilliam Shakespeare · 1508- 📕Design in Modular ConstructionMark Lawson, Ray Ogden · 2014
English Coordinate ConstructionsArne Lohmann · 2014
Issues in the semantics and pragmatics of disjunctionMandy Simons · 2000- 📕The transformation of children's servicesJoan Forbes · 2011
- 📕Coordination in syntaxNiina Ning Zhang · 2009
Generalized Barycentric Coordinates in Computer Graphics and Computational MechanicsKai Hormann, N. Sukumar · 2017- 📕Consultation and Cultural HeritageClaudia Nissley, Thomas F. King · 2014
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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