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A knot used to join the ends of two ropes together to form a longer length.

The general curve of a system which is linearly dependent on a certain number of given irreducible curves will not have a singular point which is not fixed for all the curves ...

A transformation which is one-to-one and a surjection (i.e., "onto").

A two-sided (doubly infinite) Laplace transform, L_t[f(t)](s)=int_(-infty)^inftyf(t)e^(-st)dt. While some authors use this as the primary definition of "the" Laplace ...

Johnson solid J_(91).

A Blaschke product is an expression of the form B(z)=z^mproduct_(j=1)^infty-(a^__j)/(|a_j|)B_(a_j)(z), where m is a nonnegative integer and z^_ is the complex conjugate.

A common mechanism which generates singularities from smooth initial conditions.

A ring with a unit element in which every element is idempotent.

Every continuous map f:S^n->R^n must identify a pair of antipodal points.

The statistical index P_B=1/2(P_L+P_P), where P_L is Laspeyres' index and P_P is Paasche's index.