Dependent and Independent Variables
Variables are further distinguished as being either a dependent variable or an independent variable. Independent variables are regarded as inputs to a system and may take on different values freely. Dependent variables are those values that change as a consequence of changes in other values in the system.
When one value is completely determined by another or several others, then it is called a function of the other value or values. In this case the value of the function is a dependent variable and the other values are independent variables. The notation f(x) is used for the value of the function f with x representing the independent variable. Similarly, notation such as f(x, y, z) may be used when there are several independent variables that are not the same.
Read more about this topic: Variable (mathematics)
Famous quotes containing the words dependent, independent and/or variables:
“The female of the genus homo is economically dependent on the male. He is her food supply.”
—Charlotte Perkins Gilman (1860–1935)
“I have defeated them all.... I was left with some money to battle with the world when quite young, and at the present time have much to feel proud of.... The Lord gave me talent, and I know I have done good with it.... For my brains have made me quite independent and without the help of any man.”
—Harriet A. Brown, U.S. inventor and educator. As quoted in Feminine Ingenuity, ch. 8, by Anne L. MacDonald (1992)
“Science is feasible when the variables are few and can be enumerated; when their combinations are distinct and clear. We are tending toward the condition of science and aspiring to do it. The artist works out his own formulas; the interest of science lies in the art of making science.”
—Paul Valéry (1871–1945)