Critical Point (mathematics)
In calculus, a critical point of a function of a real variable is any value in the domain where either the function is not differentiable or its derivative is 0. The value of the function at a critical point is a critical value of the function. These definitions admit generalizations to functions of several variables, differentiable maps between Rm and Rn, and differentiable maps between differentiable manifolds.
Read more about Critical Point (mathematics): Definition For Single Variable Functions, Optimization, Examples, Several Variables, Gradient Vector Field, Definition For Maps
Famous quotes containing the words critical and/or point:
“If our entertainment culture seems debased and unsatisfying, the hope is that our children will create something of greater worth. But it is as if we expect them to create out of nothing, like God, for the encouragement of creativity is in the popular mind, opposed to instruction. There is little sense that creativity must grow out of tradition, even when it is critical of that tradition, and children are scarcely being given the materials on which their creativity could work”
—C. John Sommerville (20th century)
“There never comes a point where a theory can be said to be true. The most that one can claim for any theory is that it has shared the successes of all its rivals and that it has passed at least one test which they have failed.”
—A.J. (Alfred Jules)