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The type of homology which results when the spaces being studied are restricted to simplicial complexes and subcomplexes.

If (sinalpha)/(sinbeta)=m/n, then (tan[1/2(alpha-beta)])/(tan[1/2(alpha+beta)])=(m-n)/(m+n).

The general type of homology which is what mathematicians generally mean when they say "homology." Singular homology is a more general version than Poincaré's original ...

A long division in which most or all of the digits are replaced by a symbol (usually asterisks) to form a cryptarithmetic.

J_m(x)=(2x^(m-n))/(2^(m-n)Gamma(m-n))int_0^1J_n(xt)t^(n+1)(1-t^2)^(m-n-1)dt, where J_m(x) is a Bessel function of the first kind and Gamma(x) is the gamma function.

The continuous image of a Polish space, also called an analytic set.

Denoted sl_n.

The probability that a statistical test will be negative for a negative statistic.

The scalar |v|=ds/dt, where s is the arc length, equal to the magnitude of the velocity v.

A 4-sphere has positive curvature, with R^2=x^2+y^2+z^2+w^2 (1) 2x(dx)/(dw)+2y(dy)/(dw)+2z(dz)/(dw)+2w=0. (2) Since r=xx^^+yy^^+zz^^ (3) dw = -(xdx+ydy+zdz)/w (4) = ...