Zero Set
A "Zero Set" refers to a collection of points in a mathematical space where a given function equals zero. In simpler terms, it identifies the locations where the output of the function is zero. This concept is commonly used in various fields, including calculus and algebra, to analyze the behavior of functions.
In the context of multivariable calculus, a zero set can represent curves or surfaces in higher dimensions. For example, if you have a function of two variables, the zero set would be the curve on a graph where the function's value is zero. Understanding zero sets helps in solving equations and visualizing mathematical relationships.