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arg数学怎么做,三角函数arg是什么意思

时间:2023-05-05 13:35:28 阅读:59579 作者:4156

argument of the maximum/minimum

argmaxf(x ) : ) x )取最大值时,x取的值

argminf(x ):f ) x取最小值时,x取的值

表示将目标函数设为最小值时的变量值

来自维基百科

In mathematics,argmax(orargmax ) standsfortheargumentofthemaximum,that is to say,thesetofpointsofthegivenargumentforwhichtion

在Words上,

isthesetofvaluesofxforwhichf(x ) has the largest value M. For example,iff ) x ) is 1|x|,thenitattainsitsmaximumvalueof1alueof1atx

Equivalently,if M is the maximum of f,thentheargmaxisthelevelsetofthemaximum 3360

ifthemaximumisreachedatasinglevalue,thenonereferstothepointastheargmax,meaningwedefinetheargmaxasapoint,notasetofpoints

(ratherthantheSingletonset (,sincethemaximumvalueofx(10x ) is 25,which happens when x=5.[note 2]

However,incasethemaximumisreachedatmanyvalues,arg max is a set of points。

Then,we have for example

sincethemaximumvalueofcos(x ) is 1,whichappensonthisintervalwhenx=0,2or4. onthewholerealline,theargmaxis { 0,2 }

argmin(orargmin ) is defined analogously。

notealsothatfunctionsdonotingeneralattainamaximumvalue,andhencewillingeneralnothaveanargmax : (nderset (x ) BBB ave x is undefined,asxisunboundedontherealline.however,bytheextremevaluetheorem (ortheclassicalcompactnessargument ),acontion

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