The discussion centers on the properties of wave forms, specifically addressing whether the wave form y=0 has a reflection and the conditions necessary for a wave form to possess an inverse. Participants clarify that y=0 does not have an inverse due to the absence of corresponding -y values. The conversation shifts to the concept of reflection about the x-axis, where y is transformed to -y, particularly in the context of antipodean pairs on a sphere. Ultimately, it is concluded that while y=0 lacks an inverse, it does have a reflection.
PREREQUISITESMathematicians, physics students, and anyone interested in the properties of wave forms and their geometric representations.
My first thought is inverse polarity, but if the inverse wave form comprises -y values, any y=0 wouldn't have an inverse -y, so maybe the inverse wave form would not be strictly continuous? That seems asymmetric with respect to inversion...BvU said:What conditions should an inverse of a 'wave form' fulfil ?
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