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The satellite knot of an unknot twisted inside a torus.
An open three-manifold which is simply connected but is topologically distinct from Euclidean three-space.
A theorem that classifies planar regular closed curves up to regular homotopy by their contour winding numbers (Whitney 1937). In his thesis, S. Smale generalized this result ...
The second-order ordinary differential equation y^('')+[A+Bcos(2x)+Ccos(4x)]y=0.
The width of a box is the horizontal distance from side to side (usually defined to be greater than the depth, the horizontal distance from front to back).
An oriented surface for which every point belongs to a Wiedersehen pair. Proof of the Blaschke conjecture established that the only Wiedersehen surfaces are the standard ...
Let the n×n matrix A satisfy the conditions of the Perron-Frobenius theorem and the n×n matrix C=c_(ij) satisfy |c_(ij)|<=a_(ij) for i,j=1, 2, ..., n. Then any eigenvalue ...
The integral transform obtained by defining omega=-tan(1/2delta), (1) and writing H(omega)=R(omega)+iX(omega), (2) where R(omega) and X(omega) are a Hilbert transform pair as ...
An optimal filter used for the removal of noise from a signal which is corrupted by the measuring process itself.
The probability law on the space of continuous functions g with g(0)=0, induced by the Wiener process.
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