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A conjecture concerning primes.

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 ...

Let z=re^(itheta)=x+iy be a complex number, then inequality |(zexp(sqrt(1-z^2)))/(1+sqrt(1-z^2))|<=1 (1) holds in the lens-shaped region illustrated above. Written explicitly ...

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

n sets of s trials each, with the probability of success p constant in each set. var(x/n)=spq+s(s-1)sigma_p^2, where sigma_p^2 is the variance of p_i.

Limacon of Pascal

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 normalizer of a nontrivial Sylow p-subgroup of a group G.

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.

A generalization of a Heyting algebra which replaces Boolean algebra in "intuitionistic" logic.