Part Four of Session 10 of Course 19 -- The Klein Bottle and Orbifold Differentiation

If a superstringular manifold works to help bear the condition of describing just the Real Reimmanian-based dimensional object of holonomic substrate, that is implied by the Hamiltonian operation of any respective given arbitrary orbifold eigenset in question -- the so-eluded-to superstringular manifold, that would then thus be described of as such, would be what may be termed of as a substringular membrane that would here involve only the consideration of three spatial dimensions, since such a limited consideration would then not be including a monitoring of those Njenhuis spatial parameters of dimensionalilty -- that are as well inherent in the extrapolation of both the Ward-Neumman existence and the overall motion of the so-mentioned and eluded-to orbifold eigenset, that is of this respective given arbitrary consideration.  This would then work to add more of a lack of an appropriate tense of expectation values, to the effort of then working to bear the otherwise applicable probabilities as to both the Laplacian-based differentiation and the Fourier-based differentiation of that orbifold that is then not being fully studied in such a genus of a limited case.  So, the more that is understood as to both the Laplacian-based conditions and the Fourier-based conditions of an orbifold eigenset -- the better that both the so-stated Ward-Neumman existence and the so-stated kinematic-based activity of such a said orbifold eigenset may be predicted, as to the what, where, how, and why, that such a so-stated group of superstrings that operate in so as to perform a specific function is to behave, over time and space.  That is why it is necessary to understand all of the directly applicable respective Njenhuis spatial parameters of dimensionality, that work to bear a Yakawa-based wave-tug/wave-pull upon the Gliossi-based topological surface of any respective given arbitrary single functioning holonomic substrate of a respective tense of Ward-Caucy bounds, of any respective given arbitrary orbifold eigenset that is to be extrapolated -- in order to maximize those expectation values, that are needed in order to better predict any discrete quanta of Hamiltonian operation, over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.