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Distinguish between smooth manifolds in four dimensions.

The product of three translations along the directed sides of a triangle through twice the lengths of these sides is the identity map.

A pair of overdots placed over a symbol, as in x^.., most commonly used to denote a second derivative with respect to time, i.e., x^..=d^2x/dt^2.

A dual bivector is defined by X^~_(ab)=1/2epsilon_(abcd)X^(cd), and a self-dual bivector by X_(ab)^*=X_(ab)+iX^~_(ab).

Can be used to invert a Laplace transform.

In the American system, 10^(39).

Each centered convex body of sufficiently high dimension has an "almost spherical" k-dimensional central section.

Not concentric.

The Season 1 episode "Sacrifice" (2005) of the television crime drama NUMB3RS mentions econometrics.

sum_(i=1)^n((partialu)/(partialx_i))^2=1.