👉 A variate is a variable that can take on different values based on its value. Variates are commonly used in mathematics to represent functions or variables, where each variation represents a specific input value and thus defines the output value for that particular input. For example, the function f(x) = x^2 + 3x - 4 is defined by a variate, as it can take on any real number value (0,1, -4, etc.) to give a unique output