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Everything about Implicit function
Mathematical relation consisting of a multi-variable function equal to zero
In mathematics, an implicit equation is a relation of the form where R is a function of several variables. For example, the implicit equation of the unit circle is Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Implicit functionA 5-minute orientation
- Skim a recent paper: Characterizing Smooth Safety Filters via the Implicit Function TheoremInfluential work since 2022
- Pick up a classic book: Level set methods and dynamic implicit surfacesThe most-reprinted book on the subject
- Read the landmark paper: Implicit Function Theorems and Isometric EmbeddingsCited 54 times
- Go sideways: Function of several real variablesA closely related topic
- Go sideways: Implicit function theoremA closely related topic
📖 Definitions
Noun A function defined by a (multivariable) implicit equation when one of the variables is regarded as the value of the function, especially where said equation is such that the value is not directly calculable from the other variables.
🏆 Landmark papers (most cited)
Implicit Function Theorems and Isometric Embeddings
An implicit function theorem
An implicit function theorem: Comment
Implicit function theorem over free groups
Global implicit function theorems
The implicit function theorem for ultradifferentiable mappings
Robinson’s implicit function theorem and its extensions
On the Nash-Moser implicit function theorem
🆕 Influential since 2022
Characterizing Smooth Safety Filters via the Implicit Function Theorem
Learning Guided Implicit Depth Function With Scale-Aware Feature Fusion
Implicit surface reconstruction based on a new interpolation/approximation radial basis function
G2IFu: Graph-based implicit function for single-view 3D reconstruction
An Implicit Function Implies Several Contraction Conditions
📚 Books worth reading
Level set methods and dynamic implicit surfacesStanley Osher, Stanley J. Osher · 2002
The Implicit Function TheoremSteven G. G. Krantz, Harold R. Parks · 2012
Introduction to implicit surfacesBrian Wyvill, Jim Blinn · 1997
The implicit function theoremSteven G. Krantz, Harold R. Parks · 2002- 📕Implicit solvers for unstructured meshesV. Venkatakrishnan · 1991
- 📕An unconditional stable staggered algorithm for transient finite element analysis of coupled thermoelastic problemsCharbel Farhat · 1991
- 📕Neiavnye funktsiiNikolaǐ Pavlovich Erugin · 1956
- 📕Nei︠a︡vnye funktsiiN. P. Erugin · 1956
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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