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The structure factor S_Gamma of a discrete set Gamma is the Fourier transform of delta-scatterers of equal strengths on all points of Gamma, S_Gamma(k)=intsum_(x in ...

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).

Consider the average length of a line segment determined by two points picked at random in the interior of an arbitrary triangle Delta(a,b,c) with side lengths a, b, and c. ...

A group of three elements, also called a triad. A triple is therefore a 3-tuple.

Trisection is the division of a quantity, figure, etc. into three equal parts, i.e., k-multisection with k=3.

A horizontal line placed under a symbol to indicate some special property. Underscores are sometimes used instead of over-arrows or bold typeface to indicate a vector, for ...

Two quantities a and b which are not equal are said to be unequal, and this relationship can be denoted a!=b.