
mathematicsan equation that is true for all values of its variables.
In mathematics, an identity is an equality that holds true for all values of the variables within its domain. It is a relationship between two mathematical expressions that are equal for all possible values of the common variables.
For example, in trigonometry, the Pythagorean identity holds for all values of .
An identity typically represents a property of the operations involved, and they are often used to simplify expressions or solve equations.
In mathematics, a law refers to a universally accepted principle or rule that describes a particular mathematical relationship or property. These mathematical laws are typically proven truths, derived from axioms or basic assumptions, that hold under specific conditions.
A theorem is a statement that has been proven to be true within the framework of a mathematical system, based on the system's axioms and previously established theorems.