kPQ

kPQ is a symbolic label used in multiple disciplines to denote a quantity related to a pair of entities P and Q, often with an additional scalar k. There is no single standard definition for kPQ; its meaning is determined by context, with k typically a scalar or an integer and P and Q representing points, states, nodes, or variables.

In geometry and linear algebra, kPQ is commonly interpreted as a scaled relation between P and Q. For points P and Q in a Euclidean space, the vector from P to Q is Q−P; the expression k(PQ) is often used for the scaled vector k(Q−P). The point on the line PQ at parameter t may be written as P + t(Q−P); when t = k this point lies at a distance k of the segment from P toward Q. In some texts, kPQ may denote this interpolated point, or a segment obtained by scaling the original segment PQ by factor k.

In other contexts, kPQ serves as a label or index rather than a geometric object. For example, in graph algorithms or network models, kPQ might denote a kernel, weight, or parameter associated with the ordered pair (P,Q). In combinatorics or probability notation, kPQ could denote a family of objects parameterized by k for the pair P,Q; such usages are field-specific and not universally standardized.

Because the meaning depends on the source, readers should consult the specific definition provided in the text where kPQ appears.