Polynomials Associated To Other Objects
Polynomials are frequently used to encode information about some other object. The characteristic polynomial of a matrix or linear operator contains information about the operator's eigenvalues. The minimal polynomial of an algebraic element records the simplest algebraic relation satisfied by that element. The chromatic polynomial of a graph counts the number of proper colourings of that graph.
Read more about this topic: Polynomial
Famous quotes containing the word objects:
“Adultery itself in its principle is many times nothing but a curious inquisition after, and envy of another man’s enclosed pleasures: and there have been many who refused fairer objects that they might ravish an enclosed woman from her retirement and single possessor.”
—Jeremy Taylor (1613–1667)