zérus
Zérus is a term used in mathematical contexts to denote a zero or a root of a function or equation. In this sense, a zérus of a real-valued function f is a value x0 for which f(x0) = 0. When f is a polynomial, the zérus are called roots; over the complex numbers every polynomial of degree n has exactly n zeros counted with multiplicity, according to the Fundamental Theorem of Algebra. Zérus can be real or complex; real zeros correspond to x-intercepts of the graph, while nonreal zeros occur in conjugate pairs if the polynomial has real coefficients.
Multiplicity describes how many times a given zérus appears as a solution. If a polynomial P(x) has
In numerical analysis, finding zérus typically means locating approximations to roots when closed-form solutions are unavailable.
Examples include the zeros of sine, x = kπ, and the zeros of x^2 − 1, namely x =