- #1
ratio
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Why does f attain its local maximum at r' in (p,q). Is it because we have f(x)<= f(r') for all x in (p,p+delta)?
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The discussion centers on why a function f attains its local maximum at a point r' within the interval (p, q). It is suggested that this occurs because f(x) is less than or equal to f(r') for all x in the interval (p, p+delta). The participants confirm that equality holds at the maximum point. The clarification emphasizes the relationship between the function's values and the definition of a local maximum. Understanding these conditions is crucial for analyzing local maxima in mathematical functions.
Why does f attain its local maximum at r' in (p,q). Is it because we have f(x)<= f(r') for all x in (p,p+delta)?
- #2
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We have equality, but, yes.ratio said:
- #3
ratio
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Thanks for you answer^^
Hello!
I tried to calculate projections of curl using rotation of coordinate system but I encountered with following problem.
Given:
##rot_xA=\frac{\partial A_z}{\partial y}-\frac{\partial A_y}{\partial z}=0##
##rot_yA=\frac{\partial A_x}{\partial z}-\frac{\partial A_z}{\partial x}=1##
##rot_zA=\frac{\partial A_y}{\partial x}-\frac{\partial A_x}{\partial y}=0##
I rotated ##yz##-plane of this coordinate system by an angle ##45## degrees about ##x##-axis and used rotation matrix to...
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