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:
“For my part, I have no hesitation in saying that although the American woman never leaves her domestic sphere and is in some respects very dependent within it, nowhere does she enjoy a higher station . . . if anyone asks me what I think the chief cause of the extraordinary prosperity and growing power of this nation, I should answer that it is due to the superiority of their woman.”
—Alexis de Tocqueville (1805–1859)
“The soul of me is very selfish. I have gone my way after a fashion that made me the center of the plan. And you who are so individual, who are so independent a spirit, whose soul is also a kingdom, have been so loyal, so forgiving, so self-sacrificing in your willingness to live my life. Nothing but love cold have accomplished so wonderful a thing.”
—Woodrow Wilson (1856–1924)
“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)