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This rapidly evolving field extends classical discrete calculus by introducing non-integer, or fractional, orders of difference operators. Such an approach is particularly well suited to modelling ...

We can compare discrete and continuous data by looking at how water comes out of a tap. A dripping tap shows discrete data, because each individual drop can be counted. The data collected will simply ...

Atsuji has internally characterized those metric spaces X for which each real-valued continuous function on X is uniformly continuous as follows: (1) the set X' of limit points of X is compact, and (2 ...

to speed up the construction of the discrete-time model by turning to Newton-type methods for solving the Schrödinger system (in the next section, we show numerically that a mixed Newton–Sinkhorn ...

Split a mile in half, you get half a mile. Split the half mile, you get a quarter, and on and on, until you’ve carved out a length far smaller than the diameter of an atom. Can this slicing continue ...

A method to replace a continuous univariate distribution with a discrete distribution that takes MN different values is analysed. Both distributions share the same rth moments for r = 0,..., 2N - 1 ...