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piecewise's Usage Examples:

Time reversal of numerous classes of stochastic processes has been studied, including Lévy processes, stochastic networks (Kelly's lemma), birth and death processes, Markov chains, and piecewise deterministic Markov processes.

Milnor–Thurston kneading theory is a mathematical theory which analyzes the iterates of piecewise monotone mappings of an interval into itself.

One way of reducing breathing for filters and compression techniques using piecewise Fourier-based transforms is picking a smaller transform window (short blocks in MP3), thus increasing the temporal resolution of the algorithm at the cost of reducing its frequency resolution.

structure then one defines piecewise-linear, differentiable, or analytic foliations, respectively.

analysis, spline interpolation is a form of interpolation where the interpolant is a special type of piecewise polynomial called a spline.

that, unlike in piecewise-linear manifolds, the link of one of the suspension points is not a sphere.

(total 8 separated regions at some μ)Asymmetric tent mapThe asymmetric tent map is essentially a distorted, but still piecewise linear, version of the \mu2 case of the tent map.

bounded piecewise continuous functions are Riemann-integrable on a bounded interval, subsequently more general functions were considered—particularly in.

Computing the AQIThe air quality index is a piecewise linear function of the pollutant concentration.

In mathematics, a spline is a special function defined piecewise by polynomials.

, by dividing the above by\sum_x \sum_y I(x,y) \,\!A uniqueness theorem (Hu [1962]) states that if f(x,y)is piecewise continuous and has nonzero values only in a finite part of the xyplane, moments of all orders exist, and the moment sequence (Mpq) is uniquely determined by f(x,y).