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Why implicit function is a function?
MHB Implicit Function: What is It and Why Is It Used?
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The discussion centers on the concept of implicit functions and their definition as functions. It highlights the implicit function theorem as a key aspect of understanding implicit functions. Various interpretations and explanations of implicit functions are acknowledged, indicating the complexity of the topic. The conversation suggests that further exploration of the implicit function theorem could enhance understanding. Overall, implicit functions are recognized for their significance in calculus and mathematical analysis.
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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