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The vertex of a polytope is a point where edges of the polytope meet.

A tensor g whose discriminant satisfies g=g_(11)g_(22)-g_(12)^2>0.

Hardy and Littlewood (1914) proved that the sequence {frac(x^n)}, where frac(x) is the fractional part, is equidistributed for almost all real numbers x>1 (i.e., the ...

The relationship x precedes y is written x≺y. The relation x precedes or is equal to y is written x<=y.

An operator in logic which returns either true or false.

Predictability at a time tau in the future is defined by (R(x(t),x(t+tau)))/(H(x(t))), and linear predictability by (L(x(t),x(t+tau)))/(H(x(t))), where R and L are the ...

A prime magic square is a magic square consisting only of prime numbers (although the number 1 is sometimes allowed in such squares). The left square is the 3×3 prime magic ...

An n-manifold which cannot be "nontrivially" decomposed into other n-manifolds.

A prime partition of a positive integer n>=2 is a set of primes p_i which sum to n. For example, there are three prime partitions of 7 since 7=7=2+5=2+2+3. The number of ...

The symbol p^e∥n means, for p a prime, that p^e|n, but p^(e+1)n.