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[[Category:Inverse problems]] ...

...]] incoming radiation or particles.{{sfn|Ablowitz|Fokas|2003}} It is the [[inverse problem]] to the '''direct scattering problem''', which is to determine how ...oblem]].{{sfn|Dunajski|2010}} Inverse scattering has been applied to many problems including [[radar|radiolocation]], [[Acoustic location|echolocation]], [[ge ...

...{{fact|date=March 2025}} was a [[mathematician]] working in the field of [[inverse problem]]s for [[partial differential equation]]s and related topics ([[pot ...(general uniqueness conditions and local solvability theorems) and related problems of imaging including prospecting active part of the brain and the source of ...

...teration''' is an [[eigenvalue algorithm]] which extends the idea of the [[inverse iteration]] by using the [[Rayleigh quotient]] to obtain increasingly accur The algorithm is very similar to inverse iteration, but replaces the estimated eigenvalue at the end of each iterati ...

...one of [[David Hilbert]]'s [[Hilbert's problems|list of open mathematical problems]] posed in 1900. It concerns [[number theory]], and in particular the [[Rie ...t calls for a solution to the Goldbach conjecture, as well as more general problems, such as finding infinitely many pairs of primes solving a fixed linear [[d ...

...cluding prediction of earthquake by knowing the earth surface. The inverse problems play an important role in qualitative nondestructive evaluation of material ...

==Atmospheric inverse problem== {{further|Inverse problem}} ...

[[File:Inverse proportionality function plot.gif|thumb|300x300px|The variable {{mvar|y}} i == Inverse proportionality == ...

...forces and moments responsible for the individual movements. In practice, inverse dynamics computes these internal moments and forces from measurements of th ...robotics]] and [[biomechanics]] constitute the major application areas for inverse dynamics.{{Citation needed | date=July 2013}} ...

If the above matrix is full column rank, the [[Moore–Penrose inverse]] matrices of it and its transpose are ...alary]] and O.M. Baksalary|title=Particular formulae for the Moore–Penrose inverse of a columnwise partitioned matrix|journal=Linear Algebra Appl.|volume=421| ...

* [[Additive inverse]], an arithmetic concept * [[Weakly additive]], the quality of preferences in some logistics problems ...

...by a [[central force]] that varies in strength as the [[inverse-square law|inverse square]] of the distance between them. The force may be either attractive ...f forces that would result in orbits obeying those laws (called ''Kepler's inverse problem'').<ref name="goldstein_1980">{{Cite book |last=Goldstein |first=He ...

The inverse formulas are given by: ...gument [[atan2]] form of the [[inverse tangent]] function (as opposed to [[Inverse trigonometric functions|atan]]) is recommended. This ensures that the [[si ...

...int satisfaction problem#Resolution|solutions of mathematical optimization problems|Feasible solution}} ...polynomial equation]]s, such as [[quadratic equation]]s. However, for some problems, all variables may assume either role. ...

[[File:FWDvsINV Kinematics HighResTransp.png|thumb|upright=1.6|Forward vs. inverse kinematics]] In [[computer animation]] and [[robotics]], '''inverse kinematics''' is the mathematical process of calculating the variable [[Kin ...

...zhen Cai and [[Derek Corneil]], which explored theoretical and algorithmic problems associated with tree spanners. Some of the conclusions from that paper are ...dot\alpha(m+n,n))</math>, where <math>\alpha(m+n,n)</math> is a functional inverse of the [[Ackermann function]] ...

...r theory]], '''zero-sum problems''' are certain kinds of [[combinatorial]] problems about the structure of a [[finite abelian group]]. Concretely, given a fin ...| first=Melvyn B. | last=Nathanson | title=Additive Number Theory: Inverse Problems and the Geometry of Sumsets | volume=165 | series=[[Graduate Texts in Mathe ...

===Inverse properties=== ...y]], which means that each element ''x'' has a [[inverse element|two-sided inverse]] ''x''⁻¹ that satisfies the identities: ...

===Inverse Fourier transform as an integral=== The most common statement of the Fourier inversion theorem is to state the inverse transform as an integral. For any integrable function <math>g</math> and al ...

...sion sampling''', the '''inverse probability integral transform''', the '''inverse transformation method''', or the '''[[Nikolai Smirnov (mathematician)|Smirn Inverse transformation sampling takes [[Continuous uniform distribution|uniform sam ...