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luppin
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Show the following limit will converge to delta(y-b),
lim 1/|a| f_x((y-b)/a)=delta(y-b)
a-->0
lim 1/|a| f_x((y-b)/a)=delta(y-b)
a-->0
MHB Converging to Delta(y-b): Solving the Limit of f_x((y-b)/a) as a Approaches 0
- Thread starter luppin
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The discussion centers on proving that the limit of 1/|a| f_x((y-b)/a) as a approaches 0 converges to delta(y-b). Participants question the definitions of "delta(y-b)" and "f_x," with suggestions that "delta(y-b)" may refer to the Dirac delta function. The clarity of the problem definition is also highlighted as a concern. Overall, the conversation emphasizes the need for precise definitions to facilitate understanding and resolution of the limit.
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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