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Quantifies deviation from translational invariance by describing the distribution of gaps within a set at multiple scales. The more lacunar a set, the more heterogeneous the ...

U_n(f)=int_a^bf(x)K_n(x)dx, where {K_n(x)} is a sequence of continuous functions.

S_n=sum_(i)eta_imu(E_i), where mu(E_i) is the measure of the set E_i of points on the x-axis for which f(x) approx eta_i.

A distribution with a high peak so that the kurtosis excess satisfies gamma_2>0.

Limacon of Pascal

An attracting set to which orbits or trajectories converge and upon which trajectories are periodic.

Given a point set P={x_n}_(n=0)^(N-1) in the s-dimensional unit cube [0,1)^s, the local discrepancy is defined as D(J,P)=|(number of x_n in J)/N-Vol(J)|, Vol(J) is the ...

A locally finite space is one for which every point of a given space has a neighborhood that meets only finitely many elements of any cover.

Dini Derivative, Lower Left Dini Derivative, Upper Left Dini Derivative, Upper Right Dini Derivative

The main diagonal of a square matrix can be extracted in the Wolfram Language using Tr[m, List].