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Oriented in an up-down position.

A function f(x) has a vertical tangent line at x_0 if f is continuous at x_0 and lim_(x->x_0)f^'(x)=+/-infty.

In the American system, 10^(63).

The generalization of a Voronoi polygon to n dimensions for n>2.

A^n+B^n=sum_(j=0)^(|_n/2_|)(-1)^jn/(n-j)(n-j; j)(AB)^j(A+B)^(n-2j), where |_x_| is the floor function and (n; k) is a binomial coefficient.

A surface represented parametrically by elliptic functions.

A finite division algebra is a field.

A three-dimensional surface with constant vector field on its boundary which traps at least one trajectory which enters it.

The geometric centroid of a quadrilateral lamina is the center of its Wittenbauer's parallelogram.

A method of constructing uniform polyhedra.