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单词 global minimum
释义 global minimum

A value of a function as low as or lower than that for any other values of its arguments. The sufficient condition for a minimum of a function of a single argument, in terms of a zero first and positive second derivative, shows only that the function takes a local minimum. 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 minimum must also be global. In other cases it is necessary to check whether or not a given minimum is global. The function y = ax3 - bx, for example, where both a and b are positive, has stationary values at 0198607679.global-minimum.1.jpg ; 0198607679.global-minimum.2.jpg gives a local minimum, but this is clearly not a global minimum since y can be made indefinitely large and negative by taking large negative 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:2025/4/10 6:06:16