单词 | global maximum |
释义 | global maximum A value of a function as high as or higher than that for any other values of its arguments. The sufficient condition for a maximum of a function of a single argument, in terms of a zero first and negative second derivative, shows only that the function takes a local maximum. In some special cases it can be shown that a function has only one stationary value: for example, a quadratic, whose second derivative is constant. In this case any local maximum must also be global. In other cases it is necessary to check whether or not a given maximum is global. The function y = ax3 - bx, for example, where a and b are both positive, has stationary values at See also: maximum |
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