NProbability[pred, x \[Distributed] dist] gives the numerical probability for an event that satisfies the predicate pred under the assumption that x follows the probability ...
RegionPlot[pred, {x, x_min, x_max}, {y, y_min, y_max}] makes a plot showing the region in which pred is True.
NExpectation[expr, x \[Distributed] dist] gives the numerical expectation of expr under the assumption that x follows the probability distribution dist.NExpectation[expr, ...
ListPolarPlot[{r_1, r_2, ...}] plots points equally spaced in angle at radii r_i.ListPolarPlot[{{\[Theta]_1, r_1}, {\[Theta]_2, r_2}, ...}] plots points at polar coordinates ...
A delay differential equation is a differential equation where the time derivatives at the current time depend on the solution and possibly its derivatives at previous times: ...
An efficient load-on-demand mechanism makes hundreds of gigabytes of carefully curated and continually updated data immediately available inside Mathematica for use in ...
BernoulliB[n] gives the Bernoulli number B_n. BernoulliB[n, x] gives the Bernoulli polynomial B_n (x).
BooleanCountingFunction[k_max, n] represents a Boolean function of n variables that gives True if at most k_max variables are True.BooleanCountingFunction[{k}, n] represents ...
DiscreteRatio[f, i] gives the discrete ratio f(i + 1)/f(i).DiscreteRatio[f, {i, n}] gives the multiple discrete ratio.DiscreteRatio[f, {i, n, h}] gives the multiple discrete ...
x >= y or x >= y yields True if x is determined to be greater than or equal to y. x_1 >= x_2 >= x_3 yields True if the x_i form a non-increasing sequence.