The Second Part of the Aside To Course 16 From Earlier

Harmonic oscillation of a Yau-Exact genus of a Real-based cohomology in world-sheets varies in hermitian eigenstates, per both substringular metric and per iteration.  Such a format of a harmonic oscillation works to obey the conditions of a Chan-Patton basis of factors, that correlate to the operational genus of those given arbitrary superstrings -- that operate in both a Lagrangian and in a metrical manner that is Yau-Exact in function.  This is the case, whether the directly associated world-sheets that work to form the eluded to ghost anomalies in question are created by a one-dimensional superstring of discrete energy permttivity, or, if the eluded to ghost anomalies in question are created by a two-dimensinonal sueprstring of discrete energy permittivity.  So, any given arbitrary Yau-Exact genus of a Real-based cohomology is going to differentiate both in a Lagrangian manner and in a metrical manner that is purely hermitian -- when in terms of the its directly corresponding harmonic oscillation -- if the eluded to cohomology -- that the eluded to mapping-out of the directly associated ghost anomalies, is of a Rham-based nature.  Yet, if a cohomological tense of a ghost anomaly-based distribution is configured, instead, in a Doubolt-based nature, then, the just eluded to tense of a ghost anomaly-based distribution will tend to at least bear some format and/or genus of a Chern-Simmons-based ghost anomaly-based pattern, that is therefore not Yau-Exact in nature over its delineation-based index over time.  This is always true if the cohomology  that I am here describing is kept as a Real-based cohomology, yet, if one is instead discussing a cohomology that is veered from being an initially considered Real-based cohomology into a Njenhuis-based cohomology -- that would here then bear no given arbitrary Chern-Simmons-based singulaties -- over that metrical and/or Lagrangian set of conditions that work to describe the delineatory indices of an attributed given arbitrary superstring or set of superstrings that are pulled off of the here relatively Real Reimmanian plane, over a sequential series of iterations of group instantaon that may be used to describe the correlative alteration in the directoral pull of the just eluded to motion of the directly associated general substringular format of kinematic flow, then, what may here be being described may here be a cohomological pattern that is kept Yau-Exact, yet, will here convert from being a Real-based cohomology into being a Njenhuis-based cohomology  (that is then of a Doubolt nature instead of a Rham nature). The genus of what I just described as the exception to the just prior mentioned general format, is what the case often is when one has an antiholomorphic Kaeler Metric that is inculcated from within the general spatial premises of a regional substringular locus.  The genus of the operation of the hermitian differential flow that would then here exist -- in the just eluded to general locus -- is a cohomological set of topological-based sways that works to obey a Li Algebra-based Yau-Exact harmonic oscillation, that is pulled off of the relative Real Reimmanian plane with both no Lagrangian-based nor metrical-based spikes or spurs of delineatory singularities -- at the here relevant Poincaire level.  Such a genus of a Yau-Exact-based kinematic motion of superstrings will tend to bear at least some sort of linear format of delineatory perturbation of sway from one locus of consideration where a given arbitrary substrigular flow is existent at at one iteration of group instanton, to the next locus of consideration as to where the said given arbitrary substringular flow is existent at at the next iteration of group instanton.  I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.