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A vertex coloring is an assignment of labels or colors to each vertex of a graph such that no edge connects two identically colored vertices. A vertex coloring that minimize ...

Topological lower bounds in terms of Betti numbers for the number of critical points form a smooth function on a smooth manifold.

The number theta in the quadric (x^2)/(a^2+theta)+(y^2)/(b^2+theta)+(z^2)/(c^2+theta)=1 is called the parameter.

"Chaos" is a tricky thing to define. In fact, it is much easier to list properties that a system described as "chaotic" has rather than to give a precise definition of chaos. ...

The bandwidth of a matrix M=(m_(ij)) is the maximum value of |i-j| such that m_(ij) is nonzero.

The product of three translations along the directed sides of a triangle through twice the lengths of these sides is the identity map.

The edge of a polygon or face of a polyhedron are sometimes called sides.

The trilinear quotient of two points p:q:r and u:v:w is the point p/u:q/v:r/w.

The angular distance traveled around a circle is the number of radians the path subtends, theta=l/(2pir)2pi=l/r.

An ANOVA in which the number of replicates (sets of identical observations) is restricted to be the same for each factor level (treatment group).