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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 ...
rho_(2s)(n)=(pi^s)/(Gamma(s))n^(s-1)sum_(p,q)((S_(p,q))/q)^(2s)e^(2nppii/q), where S_(p,q) is a Gaussian sum, and Gamma(s) is the gamma function.
A long division in which most or all of the digits are replaced by a symbol (usually asterisks) to form a cryptarithmetic.
A congruence that has a solution.
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 word "spectrum" confusingly has a number of unrelated meanings in various branches of mathematics.
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) = ...
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