Explore: Nonsmooth Mathematical Analysis

In applied mathematics, topological data analysis (TDA) is an approach to the analysis of datasets using techniques from topology. Extraction of information

applications in mathematics there are new approaches to probability, hydrodynamics, measure theory, nonsmooth and harmonic analysis, etc. There are also

containing all points not mapped to zero. This concept is used widely in mathematical analysis. Suppose that f : X → R {\displaystyle f:X\to \mathbb {R} } is a

inequalities, and nonsmooth analysis". She was named to the 2023 class of Fellows of the American Mathematical Society, "for contributions to mathematical optimization

spaces are a general setting for studying many of the concepts of mathematical analysis and geometry. The most familiar example of a metric space is 3-dimensional

extended to nonsmooth locally Lipschitz functions. Convex analysis – Mathematics of convex functions and sets Functional analysis – Area of mathematics Oriented

In mathematics, the Clarke generalized derivatives are types generalized of derivatives that allow for the differentiation of nonsmooth functions. The

( x , y ) ≤ ϕ ( x ) . {\displaystyle f(x,y)\leq \phi (x).} This is a nonsmooth optimization problem since the optimal value function is in general not

distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution. Intuitively, given a (generalized)

changed significantly since that time. Modern versions and full convergence analysis were provided by Kiwiel. Contemporary bundle-methods often use "level control"