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extremum    
n. 极值

极值

extremum
极值

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  • Strong and weak extrema - Mathematics Stack Exchange
    Now an extremum is strong if it satisfies the 0 order neighborhod definition and weak if it satisfies the second definition My text then goes on saying Clearly every strong relative extremum is a weak relative extremum The opposite does not hold
  • Saddle point, point of inflection, extremum, stationary point
    So a stationary point is maximum, minimum or a inflection point A saddle point is a generalization of point of inflection for 2D surfaces An extremum is a maximum of a minimum but does not count inflection points or saddle points Please verify $\endgroup$ –
  • Endpoint extremum of a function $f(x)$ on a segment $[a,b]$
    The fourth book says that any endpoint is automatically a local extremum (it may be the highest lowest point and then it will be called a global extremum) Wolfram Alpha says that contrary to what the first book has defined, endpoint is an extremum only if it is the highest lowest point of all
  • Necessary and Sufficient condition for extremum [Zorichs book]
    Briefly, but less precisely, one can say that if the derivative changes sign in passing through the point, then the point is an extremum, while if the derivative does not change sign, the point is not extremum We remark immediately, however, that these sufficient conditions are not necessary for an extremum, as one can verify the following
  • Finding extremum values in a given function using hessian matrix
    Please check if my answers are correct specially for part 3 and help me to do the fourth part in this problem Let f(x,y)=x$^4$-8x$^2$+y$^4$-18y$^2$ Find the critical points of f Determine the natu
  • Necessary Condition for Existence of Functional Extrema
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers





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