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Zeros of the Riemann zeta function zeta(s) come in two different types. So-called "trivial zeros" occur at all negative even integers s=-2, -4, -6, ..., and "nontrivial ...

A Pascal's triangle written in a square grid and padded with zeros, as written by Jakob Bernoulli (Smith 1984). The figurate number triangle therefore has entries a_(ij)=(i; ...

If lim_(k->infty)u_k!=0, then the series {u_n} diverges.

A singular point a for which f(z)(z-a)^n is not differentiable for any integer n>0.

The partial differential equation u_(xy)+(N(u_x+u_y))/(x+y)=0.

y^(n/m)+c|x/a|^(n/m)-c=0, with n/m>2. If n/m<2, the curve is a hypoellipse.

y^(n/m)+c|x/a|^(n/m)-c=0, with n/m<2. If n/m>2, the curve is a hyperellipse.

For a sequence {a_n}, if a_(n+1)-a_n>0 for n>=x, then a_n is increasing for n>=x. Conversely, if a_(n+1)-a_n<0 for n>=x, then a_n is decreasing for n>=x. If a_n>0 and ...

The ordinary differential equation y^('')+(1-|y|)y^'+y=0.

For b>a>0, 1/b<(lnb-lna)/(b-a)<1/a.