Children: Polynomials
A trigonometric polynomial is a mathematical expression that is composed of a finite sum of sine and cosine functions.
The Tutte polynomial is a two-variable polynomial associated with a graph, which encodes various combinatorial properties of the graph. It is named after the mathematician W. T. Tutte, who introduced it in the 1950s.
Umbral calculus is a mathematical framework that involves the manipulation of sequences and their relationships using "umbral" variables, which can be thought of as formal symbols representing sequences or functions. It provides a way to deal with combinatorial identities and polynomial sequences, allowing mathematicians to perform calculations without necessarily adhering to the strict requirements of traditional calculus.
A Vandermonde polynomial is a type of polynomial that arises in various areas of mathematics, particularly in interpolation and number theory.
Vieta's formulas are a set of relations in algebra that relate the coefficients of a polynomial to sums and products of its roots. They are particularly useful in the context of polynomial equations.
Wilkinson's polynomial is a polynomial that is specifically constructed to demonstrate the phenomenon of numerical instability in polynomial root-finding algorithms. It is named after the mathematician James H. Wilkinson.