Part One of the Fifth Session of Course 16

So, now one would like to know how both the Rham and Doubolt-based cohomologies of both the Kaeler and Calabi-based metrics interact -- in so as to form the kinematic arena of differentiation, that works to describe many of the various occurrences of the substringular.  This eluded to manner of interconnected occurrences may be described in part by the conditionality of the Donaldson-Ulenbach-Yau equation.  The just mentioned equation may be used to describe how substringular world-sheets tend to begin as a format of a Rham-based cohomology, that exists over a sequential series of iterations of group instanton -- that happen over a Rham-based metrical genus -- that kinematically differentiates with multiple norm-conditions that are impending to be changed into a condition of re-assortment, via a set of relatively local Gaussian Transformation eigenstates.  The just mentioned alterations in the physical genus of the eluded to mapping of the eluded to ghost anomaly-based indices -- that is due to the directly corresponding changes in norm-conditions that are needed, happens in so that the directly corresponding superstrings that are mapped-out by the so-stated cohomological matrix may both have that fractal of discrete permittivity -- so that these superstrings may continue to both persist and exist as discrete energy permitttivity, as well as so that superstrings may spontaneously and consistently be able to bear interconnective covariance over time.  Such eluded to formats of Gaussian Transformation often work to translate a so-stated Rham cohomology into a Doubolt cohomology -- that works to kinematically differentiate over a sequential series of group instanton-based iterations, as the eluded to directly correponding homotopic entity that is here being discussed works to then bear a Doubolt-based metric. To Be Continued.  Sam Roach.