Explore: Inverse Problems (differential

causes and then calculates the effects. Inverse problems are some of the most important mathematical problems in science and mathematics because they

dimension the inverse scattering problem is equivalent to a Riemann-Hilbert problem. Inverse scattering has been applied to many problems including radiolocation

mathematics, the inverse scattering transform is a method that solves the initial value problem for a nonlinear partial differential equation using mathematical

itself is a smooth function of those parameters. Inverse problems are often ill-posed; for example, the inverse heat equation, deducing a previous distribution

set theory, Ramsey theory, dynamical systems, and partial differential equations. Some problems belong to more than one discipline and are studied using

Inverse transform sampling (also known as inversion sampling, the inverse probability integral transform, the inverse transformation method, or the Smirnov

inverse function. The inverse function is also differentiable, and the inverse function rule expresses its derivative as the multiplicative inverse of

can be described by partial differential equations (PDEs). Low data availability for some biological and engineering problems limit the robustness of conventional

variables of the derivative and the differential of a usual function. This generalization includes generalizations of the inverse function theorem and the implicit

mathematics and its applications, a Sturm–Liouville problem is a second-order linear ordinary differential equation of the form d d x [ p ( x ) d y d x ] +