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Everything about Inverse element
Generalization of additive and multiplicative inverses
In mathematics, the concept of an inverse element generalises the concepts of opposite and reciprocal of numbers. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Inverse elementA 5-minute orientation
- Skim a recent paper: Finite element method-enhanced neural network for forward and inverse problemsInfluential work since 2022
- Pick up a classic book: Numerical Partial Differential Equations for Environmental Scientists and EngineersThe most-reprinted book on the subject
- Read the landmark paper: Partial Melt Distributions from Inversion of Rare Earth Element ConcentrationsCited 1,916 times
- Go sideways: MonoidA closely related topic
- Go sideways: SemigroupA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Partial Melt Distributions from Inversion of Rare Earth Element Concentrations
Inverse finite element characterization of soft tissues
Sound source reconstruction using inverse boundary element calculations
An inverse finite-element model of heel-pad indentation
Profilometry‐Based Inverse Finite Element Method Indentation Plastometry
Finite Element Analysis of Some Inverse Elasticity Problems
Inverse problems in finite element simulation of metal forming processes
Modelling of SFRC using inverse finite element analysis
🆕 Influential since 2022
Finite element method-enhanced neural network for forward and inverse problems
Finite element interpolated neural networks for solving forward and inverse problems
Physics-based strain pre-extrapolation technique for inverse Finite Element Method
Towards a stochastic inverse Finite Element Method: A Gaussian Process strain extrapolation
An Inverse Parameter Identification in Finite Element Problems Using Machine Learning-Aided Optimization Framework
📚 Books worth reading
Numerical Partial Differential Equations for Environmental Scientists and EngineersDaniel R. Lynch · 2004
Boundary integral formulations for inverse analysisDerek B. Ingham · 1997- 📕Bei dong yuan dian ci ce shen zi shi ying shi liang you xian yuan ji shuang mo fan yanJingtian Tang · 2010
Numerical Partial Differential Equations for Environmental Scientists and EngineersDaniel R. R. Lynch · 2010
Approximate Global Convergence and Adaptivity for Coefficient Inverse ProblemsLarisa Beilina · 2012
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Monoid In abstract algebra, a monoid is a set equipped with an associative binary operation and an identity element. For example, the natural numbers with addition…
- Semigroup In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative internal binary operation on it. In mathematical…
- Unit (ring theory) In algebra, a unit or invertible element of a ring is an invertible element for the multiplication of the ring. That is, an element u of a ring R is a…
- Semiring In abstract algebra, a semiring is an algebraic structure. Semirings are a generalization of rings, dropping the requirement that each element must have…
- Homomorphism In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector…
- Glossary of ring theory Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This…
- Ring (mathematics) In mathematics, a ring is an algebraic structure consisting of a set with two binary operations typically called addition and multiplication and denoted…
- Semigroup with two elements In mathematics, a semigroup with two elements is a semigroup for which the cardinality of the underlying set is two. There are exactly five nonisomorphic…