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The curvature and torsion functions along a space curve determine it up to an orientation-preserving isometry.

The abscissas of the N-point Gaussian quadrature formula are precisely the roots of the orthogonal polynomial for the same interval and weighting function.

Two unit-speed plane curves which have the same curvature differ only by a Euclidean motion.

On a Riemannian manifold, there is a unique connection which is torsion-free and compatible with the metric. This connection is called the Levi-Civita connection.

A game which permits a draw ("tie") when played properly by both players. Tic-tac-toe, for example, is a futile game.

A G-space is a special type of T1-Space. Consider a point x and a homeomorphism of an open neighborhood V of x onto an open set of R^n. Then a space is a G-space if, for any ...

The G-transform of a function f(x) is defined by the integral (Gf)(x)=(G_(pq)^(mn)|(a_p); (b_q)|f(t))(x) (1) =1/(2pii)int_sigmaGamma[(b_m)+s, 1-(a_n)-s; (a_p^(n+1))+s, ...

A set S is said to be GCD-closed if GCD(x_i,x_j) in S for 1<=i,j<=n.

The gabled rhombohedra are a family of elongated gyrobifastigium that are space-filling. The equilateral elongated gyrobifastigium, illustrated above, is one such example.

The computer animation format MPEG-7 uses Gabor functions to specify texture descriptors.