Part Nine of Session Two of Course 19 -- The Klein Bottle and Orbifold Differentiation

The relatively asymmetric tense of the spin and the roll of any given arbitrary gravitational-based particles (of both gravitons and gravitinos), when this is taken in correlation to the spin and roll of the directly corresponding orbifolds -- works to counter the potential collapsing of space-time-fabric, by its tendency to work at tightening the wave-tug/wave-pull of the here relatively local Rarita Structure eigenstates, when this is homotopically taken in retrospect from the Poincaire-based setting of the correlative gravitational particles so-mentioned, towards the Poincaire-based setting of the said central-based coniaxion of the here respective given arbitrary orbifold eigenstate, -- that has been implied here, in such a given arbitrary case.  The assymetric condition that has been implied here, is caused, in part, by an orthoganal-based torque that is initiated here in this case -- by a certain genus of a Njenhuis-based primed norm-geometric eigenbase, that is here of a relatively low scalar amplitude.  This happens, via the existence of the here local Ricci Scalar eigenstate.  So, when there are an excessive quantity of both gravitons and gravitinos, the relatively Real Reimmanian-based norm-primed geometric condition is aimed in a correlative directoral-based angling -- (that is Njenhuis in tangency to the so-eluded-to Ward-Caucy conditions, that are of the kinematic differentiation of the assymetric tensors that have been implied here) to where such an "angling" is here to happen via the kinematic-based differentiation of the excessive Gaussian-related indices, that are, in effect, a genus of an assortment of norm-state-projections -- that are of the same universal setting as the here so-stated orbifold eigenset that is being effected by the so-eluded-to gravitational eigenbase, of this specific case scenariao -- which works to help cause the directly corresponding Fourier translation that is of those changes in the ensuing related Kaeler Metric-based activity, that is local to the so-stated assymtric spin and roll relationship, that would exist here between the said gravitational particles and their directly corresponding orbifold eigenset, that are of this respective given arbitrary case.
I will continue with the suspense later!  To Be Continued!  Sam Roach.

An Aside To Session Two of Course 19 -- The Klein Bottle and Orbifold Differentiation

What I have been trying to say in my last two posts, is that it is very important to be able to "differentiate"-out the difference between any respective given arbitrary holonomic substrate of a topological-based genus, &, its directly corresponding cohomological-based mappable tracing -- that such an initially mentioned holonomic substrate is to form, over a sequential series of group-related instantons.  When any given arbitrary Kaeler Metric is to be of the general genus of being of a gauge-transformation, then, the cohomologial integration of the here directly corresponding ghost-based indices, will work to form a "handle-like" appendage to the here directly corresponding physical memory, that is of the so-eluded-to Klein Bottle eigenstate -- that may be here taken, in a Laplacian-based format -- from the relative Njenhuis-to forward-holomorphic side of the cohomological-based pattern that is of the here respective given arbitrary Klein Bottle eigenstate, to the relative Njenhuis-to-reverse-holomorphic side that is of the same said cohomological-based pattern of the so-stated respective given arbitrary Klein Bottle eigenstate.  Again, it is well to remember the condition -- that any given arbitrary cohomological-based pattern is going to tend to be of a very different morphology than the directly corresponding holonomic substrate, that is to move -- in order to form the so-stated integration of ghost-based indices, that work to form the said cohomology, over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Part Seven of Session Two of Course 19 -- The Klein Bottle and Orbifold Differentiation

When there is a Gaussian Transformation that is happening during the period in which the Kaeler Metric is going on -- in such a manner in so as to act as a gauge-transformation -- there is one genus of a difference between this general category of a Gaussian-based Transformation and the rest of this general category of a Gaussian-based Transformation.  This one genus of a difference, is that, during a gauge-transformation,  the directly corresponding Klein Bottle eigenstate of any one individual specific respective given arbitrary cite, in which such a Kaeler Metric is undergoing its general format of activity -- will work to bear an additive side-to-side torsioning,  that would here be applied to both the relatively reverse holomorphic end and the relatively forward holomorphic end of such a so-stated respective given arbitrary Klein Bottle eigenstate.  This general genus of activity, will then tend to increase the tendency of a relative lack of such a holonomic substrate as a given arbitrary Klein Bottle eigenstate -- from appearing to  be anything that is even similar in morphology to an open-top parallelepiped, in this case.  So, when one is to work to extrapolate the mappable tracing of any respective given arbitrary Klein Bottle eigenstate, that is here to be undergoing a correlative gauge-transformation -- there will be an additional torsional-based cohomological-based twisting of the here directly corresponding ghost-based indices -- to where the resultant homotopic-based physical memory of both the existence and the activity of such a so-stated Klein Bottle eigenstate, will give the appearance of a somewhat membronous morphology, that, in a way, may appear as looking at the trippy "innards" of a microscopic organism.  Most Gaussian Transformations are gauge-transformations, as I will explain later in the future.  To Be Continued!  I will continue with the suspense later!  Sincerely, Sam Roach.

Part Six of Session Two of Course 19 -- The Klein Bottle and Orbifold Differentiation

When one is to examine the extrapolation of that general cohomological patterning of any respective given arbitrary Klein Bottle eigenstate -- that is to here be directly corresponding to the integration of certain given arbitrary ghost-based indices, that would here work to form the physical memory of both the existence and the motion of the so-stated Klein Bottle eigenstate of this respective given arbitrary case, since the said Klein Bottle eigenstate, as always, is in constant discrete motion from one iteration of group instanton to the next, the mappable tracing of this so-stated eigenstate of the Klein Bottle will never Appear through such an eluded-to extrapolation to be of the general morphological genus to be of a parallelepiped nature -- even though the actually Ward-Neumman topological-based contour of any unfrayed given arbitrary Klein Bottle eigenstate will always work to bear a parallelepiped shape that has no viable enclosement at its relatively norm-to-holomorphic directoral-based homotopic bearings.  So, the mappable tracing of any respective given arbitrary Klein Bottle eigenstate will always tend to bear the respective resultant composition-based contour, that would here involve an indication of both the covariant-based kinematic integration of the directly corresponding Fourier-based indices -- as well as working to bear the respective Majorana-Weyl-Invariant-based integration of the directly corresponding Laplacian-based indices.  As implied before, this is an extrapolation of what may here be inductive in reading -- over the implementation of any coherent gauge-metric that may be taken at the Poincaire level of the said Klein Bottle eigenstate.
Next time -- how the activity of gauge-transformation eigenmetrics work to effect the topological-based extrapolation of the mappable tracing of the here correlatively speaking Klein Bottle eigenstates.
I will continue with the suspense later! To Be Continued!  Sincerely, Sam Roach.

Part Five of Session 2 of Course 19 -- The Klein Bottle and Orbifold Differentiation

The multiplicit light-cone-gauge -- in general -- is pulled by the kinematic differential activity of that multiplilcit Hamiltonian-based pull, that is functional through that multivarious Lagrangian-based Harmiltonian-based operand, that is then here inherent to the multiplicit directoral-based amplitude of the Ricci Scalar, via that substringular fabric that is of the eigenbase of that holonomic substrate, that may here be called the general configuration of the Rarita Structure.  As orbifolds spin and roll -- over a sequential series of group-related instantons -- the multivarious light-cone-gauge eigenstates that work to comprise the quantum eigenbase of the wave-functionability of discrete energy impedance -- multplicitly work to bear each of their individually taken spin and roll-based metrical indices  This happens in such a manner, to where such a so-eluded-to kinematic-based differential activity of this so-stated spinning and rolling is here to happen, in such a manner that is here of a relatively assymetric genus, when these relative characteristics of spin and roll are here to be extrapolated towards those respective given arbitrary multiplicit indices of gravitational force -- that are then here exhibited by the directly corresponding eigenstates of the here proximally local homotopic eigenbase of the Rarita Structure, in such a manner in so that this may here be thought of alagorically as a set of a multiplicit system of substringular gears, that adjacently bear a countering of relative holomorphic spin and roll indices that are of a Fourier-based nature,  over time.
I will continue with the suspense later!  To Be Continued!  Sincerely Sam Roach.

Part Four of Session Two of Course 19 -- The Klein Bottle and Orbifold Diffferentiation

The fractal modulus of what may be considered here as an extrapolation of what one may call as being individually taken Rarita Structure eigenstates, is fairly constant in its scalar amplitude -- per individually taken mini-stringular cross-sectional loci, that are of one respective given arbitrary eigenbase of a Majorana-Weyl-based Invariant Mode -- to where this condition is in direct correspondence to the so-eluded-to Rarita Structure eigenstate, that is in the general region of one of such respective given arbitrary eigenstates, that are of the said interwoven substringular fabric that works to comprise the so-stated Rarita Structure.  Likewise, that elastic modulus of what may be considered here as an extrapolation of what one may call as being individually taken Rarita Structure eigenstates, is fairly constant in its scalar amplitude -- per individually taken mini-stringular cross-sectional loci, that are of one respective given arbitrary eigenbase of a Majorana-Weyl-based Invariant Mode, to where this condition is in direct correspondence to the so-eluded-to Rarita Structure eigenstate, that is in the general region of one of such respective given arbitrary  eigenstates that are of the said interwoven substringular fabric that works to comprise the so-stated Rarita Structure.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

An Aside As To The Logos

Here is an aside -- as to one of my philosophical viewpoints:
When I here the musical composition, Air On A G String -- by J.S. Bach, what comes into my mind about what this here particular piece of music means to me, is the import of what the Gliossi contact of the Logos that was propagated upon the core of the Big Bang -- in so as to form the multiverse -- is a phenomenon that is one of the most awe striking occurrences that could possibly be imagined.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach. Easy Day.

Part Three of Session Two of Course 19 -- The Klein Bottle and Orbifold Differentiation

All physical phenomena is effected -- in one manner or another -- by that kinematic activity, that is induced by the gravitational force.  This is even though gravity is a relatively weak force -- gravity is weaker than both the strong force and also the electromotive force.  So, all physical phenomenology is interconnected to the conditionality of the gravitational force, via the multiplicit directoral-based amplitudanal eigenbase of the Ricci Scalar, via that multiplicit fabric-based eigenbase -- that is known of as the Rarita Structure.  The individually taken Rartita Structure eigenstates may often have either a relatively strong elastic modulus -- via the state of the relatively local conditions of the here proximally taken Ricci Scalar eigenstates, that would here be involved in this case,  or, certain other individually taken Rarita Structure eigenstates may often have, instead, a relatively weak elastic modulus, via the state of the relatively local conditions of the here proximally taken Ricci Scalar eigenstates -- that would here be involved in this case.  The condition as to whether or not any particular respective given arbitrary locus of a Rarita Structure eigenstate is to here have either a relatively strong elastic modulus or a relatively weak elastic modulus, is, in part, depending upon the directoral-based inter-twining of the specific cohomological framework, that is proximal to the so-eluded-to specific locus -- where such a respective spot where the said Rarita Structure eigenstate is to here have such an either relatively strong or a relatively weak elastic modulus that is taking its bearings of its directly corresponding Majorana Weyl Invariant Mode at.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Part Two of Session Two Of Course 19 -- the Klein Bottle and Orbifold Differentiation

Gravitational force is produced by the motion of the coupling activity that is produced by the kinematic activity of both gravitons and gravitinos, working simultaneously through the vantage point of a central conipoint.  Gravitons are the transversel components of what is utilized, in so as to work to produce the gravitational force -- whereas gravitinos are the spin-orbital components of what is utilized, in so as to work to produce the gravitational force.  The gravitational force happens via the Ricci Scalar, through that multiplicit set of eigenstates that work to form that composition -- that is here known of as the Rarita Structure.  Gravitons are formed by the quantum integration of those sub-atomic particles that are known of as dilatons.  Gravitinos are formed by the quantum integration of those sub-atomic particles that are known of as dilatinos.  Dilatons are formed by the transversel scattering of ghost-based indices -- that are pulled via a certain general genus of a Rayleigh-based scattering, off of the relative Real Reimmanian-based Plane, onto a relatively Njenhuis-based plane -- upon which these come together in so as to work to form gravitons.  Dilatinos are formed by the spin-orbital scattering of ghost-based indices -- that are pulled via a certain general genus of a Rayleigh-based scattering, off of the relative Real Reimmanian-based Plane, onto a relatively Njenhuis-based plane -- upon which these come together in so as to work to form gravitinos.  Gravity is the condition of the gravitational-based force.

Part One of Session Two of Course 19 -- The Klein Bottle And Orbifold Differentiation

The following is a general explanation of as to why that the general cause of the condition of both either one-dimensional superstrings of discrete energy permittivity and/or two-dimensional superstrings of discrete energy permittivity, that work to bear a topological-based contour that is of a "swivel-shape" during each individually taken Laplacian-based iteration of BRST, as bearing a genus of tending to be more associated with the formation of Lagrangian-based Chern-Simmons singularities than bearing an association with the forming of Lagrangian-based hermitian singularities, over time -- works to cause the tendency of both such so-stated one-dimensional superstrings of discrete energy permittivity, and, such so-stated two-dimensional superstrings of discrete energy permittiivity, as well as to bear a higher probability of forming more metrical-based Chern-Simmons singularities than metrical-based hermitian singularities over time -- is that the intricacies of that general topological-based condition, that is of the homotopic-based contour that is here most directly corresponding to what I mean of as a "swivel-shaped" Laplacian-based cohomological integration of Hodge-based divergences that are of a transiently adjacent loop-amplitudinal phenomenology -- that are less conformally proximal to the specific Laplacian-based coniaxions that would tend to work to define the Ward-Caucy-associated steady-state Majorana-Weyl-based locus of those respective given arbitrary one and two-dimensional superstrings that would otherwise not bear such a general condition of a "swivel-shaped" contour -- will tend to both not only work to alter the motion of the distribution of such strings in more derivatives than the number of spatial dimensions that these are in over time, yet, such a general genus of any of such topological-based swaying will here tend to work at altering the harmonics of the mode of the pulsation of such respective given arbitrary superstrings of discrete energy permittivity over a sequential series of group-related instantons -- thereby working to form a spurious condition of a perturbating substringular pulsation -- that is thereby of a tendency to form metrical-based Chern-Simmons singularities.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Part Eight of Session One of Course 19 -- The Klein Bottle And Orbifold Differentiation

Superstrings of discrete energy permittivity that bear a "swivel-shape"-like topological Laplacian-based contour, tend to work to bear a relatively higher number of directly corresponding Lagrangian-based Chern-Simmons singularities -- while yet such superstrings of such a so-eluded-to genus then working to bear a relatively lower number of directly corresponding Lagrangian-based hermitian-based singularities.  This is on account of the condition that such superstrings of this general format or genus of topological contour, tend to change in a higher number of derivatives than the number of spatial dimensions that these are moving in, over a set metric in which such a case may be here considered in the substringular.  The reason as to why superstrings of discrete energy permittivity that bear a "swivel-shape"-like topological Laplacian-based contour, tend to work to bear a relatively higher number of directly corresponding metrical-based Chern-Simmons singularities -- while yet such superstrings of such a so-eluded-to genus as well working to bear a relatively lower number of directly corresponding metrical-based hermitian-based singularities -- is on account of the condition that superstrings of such a genus, as to being of a "swivel-shape" topological contour, tend to bear a pulsation that is here effected by the here so-stated Lagrangian-based Chern-Simmons singularities, that I had initially mentioned in this case scenario.  To Be Continued!
I will continue with the suspense later!  Sincerely, Sam Roach.

Part Seven of Session One of Course 19 -- The Klein Bottle and Orbifold Differentiation

Since both one-dimensional superstrings of discrete energy permittivity, and, two-dimensional superstrings of discrete energy permittivity, that are of what may be here considered of as existing in a Laplacian-based contour of having a topological condition, as existing in a "swivel-shape" -- over the course of any so-eluded-to individually taken iteration of group-related instanton -- , that kinematically differentiate, through their respective given arbitrary correlative Fourier-based Transformations, in such a manner in so that these so-stated superstrings tend to here work to bear a correlatively lowered state of having a harmonic eigenbase of a vibrational oscillation, when in terms of the fluctuation of their respective given arbitrary pulsation, over the course of any directly corresponding iteration of BRST -- in which such strings work to here bear a tense of having the said topological condition of having the said "swivel-shape," then, such so-eluded-to superstrings of discrete energy permittivity will then here tend to bear a relatively higher probability of having more of a directly related metrical-based state of having Chern-Simmons singularities, as well as such so-stated respective given arbitrary superstrings as then here tending to bear a relatively lower probability of having as many directly related metrical-based hermitian singularities as otherwise -- over the course of those correlative sequential series of group-related instantons, in which such superstrings of this said case are then here acting as the Hamiltonian operators of discrete energy permittivity, that are to operate in so as to perform that function that is of such a respective given arbitrary case scenario that is here being described in this given case scenario.  I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Part Six of Session One of Course 19 -- The Klein Bottle and Orbifold Differentation

Since superstrings of discrete energy permittivity, that are not basically of a "swivel-shape" during the course of any given arbitrary respective iteration of BRST -- tend to bear an eigenbase of a vibrational oscillation -- over the course of the said iteration of BRST, in which such so-eluded-to superstrings are going through -- that is of more of a harmonic tense, than the same respective given arbitrary genus of superstings of discrete energy permittivity, that are, instead, of basically a "swivel-shape," during the same given arbitrary respective iteration of BRST -- the singularities that are thus formed by the metrical-based motion of such superstrings, will then tend to bear more of a hermitian eigenbase of pulsation-based flow, than other of such respective given arbitrary superstings that are of a similar genus of Fourier-based translation, yet, are topologically of a relatively more pronounced "swivel-shaped" contour.  This would here then work to cause a lower probability of superstrings that are not of a "swivel-shaped"-contour, to have a tendency of bearing both a lower degree of metrical and/or a lower degree of Lagrangian-based Chern-Simmons singularities, over the course of any group-metrical duration -- that is thence in the Fourier-based scope, of as to when such said superstrings of discrete energy permittivity are then here of less of a relatively lower degree of bearing a so-eluded-to "swivel-shape"-like contour, around their individually taken topological Ward-Neumman-based substringular structure, over time.
I will continue with the suspense later!  To Be Continued!  Sam Roach.

Part Five of Session One of Course 19 -- The Klein Bottle and Orbifold Differentiation

 Two-dimensional superstrings of discrete energy permittivity, that are of a "swivel-shape," during group-related instanton, tend to bear a lower tense of a harmonic vibrational oscillation -- during any respective given arbitrary individually taken iteration of BRST, in which these are kinematically active in -- than other  two-dimensional superstrings of discrete energy permittivity, that are not of a "swivel-shape," during the same general respective given arbitrary individually taken iteration of BRST, in which these are kinematically active in.  On the other hand, one-dimensional superstrings of discrete energy permittivity, that are of a "swivel-shape" during an iteration of group-related instanton, tend to bear a more annharmonic vibrational oscillation -- during any respective given arbitrary individually taken iteration of BRST, in which these are kinematically active in -- than other one-dimensional superstrings of discrete energy permittivity, that are not of a "swivel-shape" during the same general respective given arbitrary individually taken iteration of BRST, in which these are kinematically active in.  Furthermore, two-dimensional superstrings of discrete energy permittivity, that are of a "swivel-shape" during an iteration of the generally unnoticed duration of Ultimon Flow -- tend to bear a higher tense of an annharmonic vibrational oscillation -- than other two-dimensional superstrings of discrete energy permitivity, that are not of a "swivel-shape" during the same general respective given arbitrary individually taken iteration of the generally unnoticed duration of Ultimon Flow. On the other hand, one-dimensional superstrings of discrete energy permittivity, that are of a "swivel-shape" during an iteration of the generally unnoticed duration of Ultimon Flow -- tend to bear a lower tense of a harmonic vibrational oscillation -- than other one-dimensional superstrings of discrete energy permititivity,  that are not of having a "swivel-shape" during the same general duration of the generally unnoticed duration of Ultimon Flow, in which these are kinematically active in.
To Be Continued!  I will continue with the suspense later!  Sincerely, Sam Roach.

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

When one is to take the sequential series of any given arbitrary two-dimensional superstring of discrete energy permittivity, if the so-stated sequential series bears neither any Lagrangian nor any metrical Chern-Simmons-based singularities, then, the said superstring will then tend to bear a Rham cohomological-based mappable tracing -- over the respective duration of the so-mentioned metric, in which the said sequential series of group-related instantons that appertains to the operation of the said superstring, is going on.  Yet, when one is to take the sequential series of the same respective given arbitrary two-dimensional superstring of discrete energy permittivity, if the so-stated sequential series, instead, bears either one or more Lagrangian and/or any metrical Chern-Simmons singularities, then, the said superstring will then tend to bear a Doubolt cohomological-based mappable tracing -- over the respective duration of the so-mentioned metric -- in which the said sequential series of group-related instantons is going on.  This -- in and of itself -- is independent upon the contingency that, over any individually taken instant of BRST, any corroborative two-dimensional superstring of discrete energy permittivity tends to work to bear a relatively harmonic vibrational oscillation, that is of its own given arbitrary genus of pulsation.  What would here work to bear either a harmonic flow or an annharmoic flow of a metrical-based condition, is the pattern of the flow of the harmonics that would here be contingent upon what would happen here -- over a respective given arbitrary sequential series, that involves here a set of multiple group-related instantons, that are interdependent upon each other -- when given the kinematic Fourier-based translation of the here respective given arbitrary two-dimensional superstring of discrete energy permittivity.  The same general conditionality of as to whether or not any given arbitrary one-dimensional superstring of discrete energy permittivity, is of either a harmonic or an annharmonic Lagrangian and/or metrical-based flow -- is here as being in regards to the directly correlative sequential series of instantons, that would here come together, in so as to work to formulate the here so-eluded-to contingency of what would here work to help determine this so-eluded-to premise -- which is the case, as well, yet, in regards to an open-loop topological phenomenology -- that is more inherently of an annharmonic state, during any respective given arbitrary individually taken iteration of BRST.
I will continue with the suspense later!  To Be Continued!  Sam Roach.

Part Three of Session One of Course 19 -- The Klein Bottle and Orbifold Differentation

Superstrings of discrete energy permittivity, that are of a bosonic loop-amplitudinal nature -- and are thus of the holonomic substrate of a two-dimensional superstring, these of which are always as is of a closed-loop genus of topological phenomenology, when taken at the Poincaire level of the core-field-density of such a said superstring -- tend to always bear a vibrational oscillation-based pulsation, that is of a harmonic-based nature, when this is taken during the course of any respective given arbitrary individually taken iteration of BRST, while yet tending to always bear a vibrational oscillation-based pulsation that is instead of an annharmonic-based nature, during the course of any respective given arbitrary individually taken directly correlative iteration of the generally unnoticed duration of Ultimon Flow, that is to here then ensue the so-eluded-to iteration of BRST, this of which may then here be considered in this respective given arbitrary case.  On the other hand, though, superstrings of discrete energy permittivity, that are of a fermionic loop-amplitudanl nature -- and are thus one-dimensional superstrings, these of which are always as is of an open-loop genus of topological phenomenology -- when taken at the Poincaire level of the core-field-density of such a said superstring -- tend to always bear a vibrational oscillation-based pulsation that is of an annharmonic-based nature, when this is taken during the course of any respective given arbitrary individually taken iteration of BRST, while yet tending to always bear a vibrational oscillation-based pulsation that is instead of a harmonic-based nature, during the course of any respective given arbitrary individually taken directly correlative iteration of the generally unnoticed duration of Ultimon Flow, this of which that is to here then ensue the so-eluded-to iteration of BRST, this of which may then here be considered in this respective given arbitrary case.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Part Two of Session One of Course 19

Superstrings that are of a conformal dimension, whose absolute value is two -- and are thus of a closed-loop nature, or, as well, superstrings that are of a conformal dimension, whose absolute value is one -- and are thus of an open-loop nature, per each relatively Laplacian-based iteration of group-related instanton, work to bear a tendency of having a fairly flush centralized coniaxion, when in terms of the setting of the vibratorial oscillation of the holonomic substrate, that is of each of the so-eluded-to tenses, of such a respective given arbitrary genus of a superstring.  This is the case in which this acts -- as what may be able to be extrapolated as the template of a mappable tracing of loop-amplitude-based holonomic substrate-based phenomenology, --that each of such respective individual so-eluded-to superstrings operate as, in so as to bear the respective given arbitrary core-field-density of these so-mentioned superstrings of discrete energy permittivity.  This genus of substringular boundary conditions -- happens at the Hamiltonian-based locus, that is Gliossi to each of these respective superstrings --  as taken at the Poincaire level of the so-stated extrapolation.  This tense of an extrapolation is the case, when given the directly affiliated Ward-Neumman and/or Ward-Caucy-based conditions, that would here appertain to the directly correlative Sterling approximation -- that may be multiplicity contingent upon such extrapolated superstrings, as a whole (if each of such superstrings of discrete energy permittivity is directly applicable to the given said substringular situation).
 I will continue with the suspense later!  To Be Continued!  Sam Roach.

Part One of Session 1 of Course 19 -- The Klein Bottle and Orbifold Differentiation

The cohomological-based central conixian-related mappable tracing, as to where a given arbitrary two-dimensional superstring of discrete energy permittivity is vibrating -- per each succeeding iteration of instanton, -- as such a respective given arbitrary two-dimensional superstring is undergoing a respective given arbitrary tense of superconformal invariance, -- may often bear a relatively flush tense of a closed-loop-based nature, over time. This works into consideration, the resulatant conicenter of the kinematic-based path of such a superstring -- as to the average Gliossi-based Hamiltonian operand, in which the so-eluded-to two-dimensional string has here iterated through, over the so-stated integrable successive series of the iterations -- in which such a superstring has been Yakawa at its general Majorana-Weyl based locus.   The cohomological-based central coniaxion-related mappble tracing, as to where a given arbitrary one-dimensional superstring of discrete energy permittivity is vibrating -- per each succeeding iteration of instanton, -- as such a respective given arbitrary one-dimensional superstring is undergoing a respective given arbitrary tense of supersconformal invariance -- may often bear a relatively flush tense of an open-loop-based nature, over time.  As well, this works into consideration, the resultant conicenter of the kinematic-based path of such a superstring -- as to the average Gliossi-based Hamiltonian operand,  in which the so-eluded-to one-dimensional string has here iterated through, over the so-stated integrable successive series of the iterations -- in which such a superstring has been Yakawa at its general Majorana-Weyl based locus.  Often, as well, such respective given arbitrary one and two-dimensional superstrings of discrete energy permittivity that I have mentioned here, may bear a swivel-shaped tense of looping-based topological phenomenology, as these discrete units of energy permittivity proceed into their correlative successive series of group-related instantons -- whether such said superstrings will here keep undergoing a tense of superconformal invariance, or not, over time.  I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Part Two of the Test Solutions of The Last Test of Course 18

4)  When there is a Yakawa-based tendency of a tachyonic flow, towards a respective given arbitrary region -- in which the Kaeler-Metric is occurring, to where the relatively indistinguishably different local dilatons and dilatinos, that work here to apply a domino-like effect of leveraging -- that would work to involve here a Njenhuis-based primed normalcy, or, as well, that would here work to involve an annharmonic tense of a primed normalcy, this would tend to domino-out, in so as to potentially work to help form a Rayleigh-based genus of an antiholomorphic Kaeler condition, -- in so as to help to initiate an ensuing tense of a so-eluded-to Kaeler-Metric, that is related to this said given arbitrary respective case.

5)  The Bette Manifold is the region in-between a given arbitrary superstring and its correlative counterstring, during the course of a so-eluded-to eigenmetric of BRST.

6)  The Bianchi Identity is that -- when the Grassman Constant of a correlative Bette Manifold eigenstate is stable, then, the correlative ensuing tense of Noether Flow is stable.  Yet, when the Grassman Constant of a Bette Manifold eigenstate is perturbative, then, the correlative ensuing Noether Flow is likewise made perturbative, into a tense of tachyonic-based flow.

7)  The Klein-Gordan-Theorem, is that -- for every discrete eigenstate of energy permittivity, there is a discrete eigenstate of energy impedance, acting form the reverse-holomorphic direction -- via the light-cone-gauge.

8)  When there is a condition of a primed normalcy, of a set of relatively local dilatons and dilatinos, that act in so as to work to form a domino-effect -- in a Ward-Caucy supplemental manner, upon the Yakawa-based surface of a Kaeler Manifold, in a torsional-based manner -- via the Rarita Structure, during a Gaussian Transformation that is correlative to this, then, this general genus of a multiplicit toroidal-based torque, will often tend to work to form a relatively regional continuation of the here local eigenbase of the Kaeler-Metric.

Part One of the Solutions to The Last Test of Course 18

1)  A Regge Transformation is the summed effect of the kinematic-based locus of a superstring, as it is pulled from the relatively general locus where it had iterated at -- over the course of one discrete duration of BRST -- into the initial relative locus, where the so-stated superstring will begin the ensuing multiplicitly integrable generally unnoticed duration of Ultimon Flow.

2)  A Kaeler Manifold is the relative cohomological-based region, where any respective given arbitrary superstring is to be undergoing that part of a Gaussian Transformation -- that is most Gliossi to those changes that are to happen to the said superstring, that would here directly involve a re-attainment of the said superstrings integrable discrete energy permittivity.

3)  When there is an application of a Yakawa-based tendency of Noether Flow, that is to be delineated to a respective given arbitrary region in which the Kaeler-Metric is occurring -- the relatively local dilatons and dilatinos work to apply a domino-effect of leveraging -- that would here involve a Real Reimmanian-based primed normalcy, or, as well, this would here work to involve a harmonic-tense of a primed normalcy, that would domino -- in so as to potentially work to help initiate the formation of a Reimman-based genus of an antiholomorphic Kaeler condition -- in so as to help to initiate the so-eluded-to ensuing local eigenbase, of a respective given arbitrary Fourier Transformation of a Kaeler-Metric, in and of itself.

Questions To The Last Test of Course 18 -- the Ricci Scalar and Kaeler Differentiation

1) What is a Regge Transformation?

2)  What is a Kaeler Manifold?

3)  What is the relationship of a Klein Bottle eigenstate, toward the relatively local dilatons and dilatinos -- when there is a Yakawa-based tendency of Noether Flow?

4)  What is the relationship of a Klein Bottle eigenstate toward the relatively local dilatons and dilatinos -- when there is a Yakawa-based tendency of tachyonic-flow?

5)  What is a Bette Manifold?

6)  What is the Bianchi Identity?

7)  What is the Klein-Gordan Theorem?

8)  How may a perturbation in a relatively local Kaeler-Metric eigenmetric work to effect the tendency of the relatively neighboring Gaussian Transformation eigenmetrics?