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Given a sequence of values {a_k}_(k=1)^n, the running maxima are the sequence of values {max(a_1,...,a_k)}_(k=1)^n. So, for example, given a sequence (3,5,7,8,8,5,7,9,2,5), ...

The symbol ; given special meanings in several mathematics contexts, the most common of which is the covariant derivative.

A smooth map f:S^1->R^3 whose image has singularities. In particular, in the theory of Vassiliev's knot invariants, singular knots with a finite number of ordinary double ...

The dual polyhedron of the small dodecicosahedron U_(50) and Wenninger dual W_(90).

A graphical partitioning based on the eigenvalues and eigenvectors of the Laplacian matrix of a graph.

Two numbers which are relatively prime.

For a discrete function f(n), the summatory function is defined by F(n)=sum_(k in D)^nf(k), where D is the domain of the function.

An ordinary knot in three dimensions suspended in four dimensions to create a knotted 2-sphere. Suspended knots are not smooth at the poles.

The symbol ∼ used to denote similarity, equivalence relations, or asymptosy.

The set of all centroid points in a weighted tree (Harary 1994, p. 36).