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Zygmund (1988, p. 192) noted that there exists a number alpha_0 in (0,1) such that for each alpha>=alpha_0, the partial sums of the series sum_(n=1)^(infty)n^(-alpha)cos(nx) ...

A maximum clique of a graph G is a clique (i.e., complete subgraph) of maximum possible size for G. Note that some authors refer to maximum cliques simply as "cliques." The ...

Consider the Euler product zeta(s)=product_(k=1)^infty1/(1-1/(p_k^s)), (1) where zeta(s) is the Riemann zeta function and p_k is the kth prime. zeta(1)=infty, but taking the ...

The double covering group of the (linear) symplectic group.

Moving medians are implemented in the Wolfram Language as MovingMedian[data, n].

If a prime number divides a norm but not the bases of the norm, it is itself a norm.

An estimator of the actual values of population.

A very useful active feedback method for controlling things like temperature control systems, servo motors, and flow control valves.

An algebraic integer of the form a+bsqrt(D) where D is squarefree forms a quadratic field and is denoted Q(sqrt(D)). If D>0, the field is called a real quadratic field, and ...

A conjecture for the eigenvalues of modular forms under Hecke operators.