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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 0198607679.global-maximum.1.jpg 0198607679.global-maximum.2.jpg gives a local maximum, but this is clearly not a global maximum since y can be made indefinitely large by taking large values of x. The same point applies with functions of more than one argument.

See also:

maximum

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更新时间:2025/1/22 15:42:49