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Everything about Inverse function
Mathematical concept
In mathematics, the inverse function of a function f is a function that undoes the operation of f. The inverse of f exists if and only if f is injective, and if it exists, is denoted by Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Inverse functionA 5-minute orientation
- Skim a recent paper: Inverse Estimation of Transient Heat Flux Using Sequential Function Specification MethodInfluential work since 2022
- Pick up a classic book: Limits of ResolutionThe most-reprinted book on the subject
- Read the landmark paper: On the inverse function theoremCited 207 times
- Go sideways: Injective functionA closely related topic
- Go sideways: Function compositionA closely related topic
📖 Definitions
Noun For a given function f, another function, denoted f, that reverses the mapping action of f; given a function f:X→Y, a function g:Y→X such that, ∀x∈X, f(x)=y⟹g(y)=x.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
On the inverse function theorem
On the Inverse Gaussian Distribution Function
Global inverse function theorem
The inverse of the error function
Inverse source identification by Green's function
A note on inverse function theorems
An inverse function theorem for free groups
Global inverse function theorems
🆕 Influential since 2022
Inverse Estimation of Transient Heat Flux Using Sequential Function Specification Method
Substructural damage detection using frequency response function based inverse dynamic substructuring
Knowledge graph embedding with inverse function representation for link prediction
Correlation function and the inverse problem in the BD interaction*
Modeling bladder cancer survival function based on neutrosophic inverse Gompertz distribution
📚 Books worth reading
Limits of ResolutionGeoffrey de Villiers, E. Roy Pike · 2016
A history of inverse probabilityAndrew I. Dale · 1991- 📕Leçons sur les fonctions inverses des transcendantes et les surfaces isothermesG. Lamé · 1857
Classical geometries in modern contextsWalter Benz · 2006- 📕Introduction to Identification Problems Via Functional AnalysisAlfredo Lorenzi · 2001
On global univalence theoremsT. Parthasarathy · 1983
Generalized inverses of linear transformationsS. L. Campbell · 1979
Coefficient inverse problems for parabolic type equations and their applicationP. G. Danilaev · 2001
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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