When the metric-based relationship of a given arbitrary homotopic wave, that is here to be directly involved with the Fourier-related spatial translation, that is here to be of the correlative dimensional-related pulsation, of a respective mass-bearing cohesive set of discrete energy quanta, to where these are thence to be of the Same Scalar Value, per each distinctively different individually taken directoral value, (I.E...In R3: One is to have the same type of a dimensional-related pulsation, as this is here to be taken, over each individually taken correlative axion, that is of all three directly pertinent directorals). -- then, one may consequently say, that such a herein stated general type of a respective homotopic wave, is here to tend to be spatially translated, in a relatively homeomorphic manner. To Be Continued! Sincerely, SAM.
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