Showing posts with label piecewise continuous. Show all posts
Showing posts with label piecewise continuous. Show all posts

Monday, April 20, 2026

Additional Saving Grace

 One additional saving grace about my physics blog, is that, if people all over the world, are going to be so busy, discussing the issues that I have presented and detailed in my writings, they may be potentially less susceptible, to wanting to hurt each other in a war!! IDEAS UNIFY!!!

Remember me saying something to the effect of that, dialogue, to me, means, I’m wrong you’re wrong, I’m right you’re right, let’s talk? I’ve used this expression in the past, to indicate that I have enough humility, to admit that neither myself nor anyone else is perfect! Now take this attitude to a global scale — cooperation! I know that this is not actually even similar to the topics of my particular blog genre, yet, if people actually tried to cooperate, and consider the needs of others more than their own, that this would help to make our world much safer! 

Perhaps society, at large, should try to foster a metaphorical sense of cooperation, between individual needs and group needs, just as Chern-Simons Invariants work to facilitate a common ground, between the needs of discrete quanta of energy, when in conjunction with the needs of the eminently corroborative Hamiltonian Topological Manifold ( the system of energy), that such a quantum of discrete energy here, is to be participating in!

When a team of mass-bearing super strings of discrete energy permittivity is to be spatially transmitted, particularly when the implicit spatial transference is Noether, the direction that the team of strings is inclined to travel in, takes precedence over the direction that the individually taken strings is inclined to travel in. As a physical compensation, there is then to be a pseudo warp-like effect, applied upon the respective super strings, in so as to accommodate the motion of the team of implicit discrete energy, in so as to physically rectify this situation. Such an earlier mentioned pseudo warp, is in the form of what I happen to term of, as being partition-based discrepancies. Such an implicit rectification is to remain consistent, until either the speed and or the direction of the stated team of strings, is to viably change. When the team of implicit discrete energy, is to change in either its speed and or direction, this general action will tend to cause a recalibration, in the piecewise continuous intricacies and or in the morphology of the stated pseudo warping, helping to generate unitary heuristic-gauge magnetic potential. When such potential is here to be coupled, with its eminently corroborative angular frequency, this tends to facilitate the formation of charge. Whereas; When such potential is here to be coupled with the eminently corroborative angular momentum, this, instead, tends to facilitate the formation of entropy. 

When the piecewise continuous intricacies, of the pseudo warping of the composite super strings, that are of an eminently corroborative team of mass-bearing strings, is to be recalibrated, this general physical operation, when such a general attribute, of the implicit unitary heuristic-gauge magnetic potential, is here to physically couple, with the eminently corroborative angular frequency, (this) will often tend to work to facilitate the formation, of the electric field, of the implicitly formed physical charge. Furthermore; When the morphology, of the pseudo warping of the composite super strings, that are of an eminently corroborative team of mass-bearing strings, is to be recalibrated, this general physical operation, when such a general attribute, of the implicit unitary heuristic-gauge magnetic potential, is here to physically couple, with the eminently corroborative angular frequency, (this) will often tend to work to facilitate the formation, of the magnetic field, of the implicitly formed physical charge.

The hemitian interaction, between the multiplicity of unitary heuristic-gauge magnetic potential, With the eminently corroborative angular frequency, will generally tend to be, of a relatively harmonic nature, since it will generally tend to be, of a relatively ordered nature. Whereas; The hermitian interaction, between the multiplicity of unitary heuristic-gauge magnetic potential, With the eminently corroborative angular momentum, will generally tend to be, of a relatively anharmonic nature, since it will generally tend to be, of a relatively unordered nature.  

A relatively highly compact macroscopic Hamiltonian Topological Manifold, that is here to innately be of a De Rham nature, will likely behave, if Noether, in a general manner, that is to be strikingly, both resolute & succinct, when in terms of the eminent propagational flow, of its corroboratively associated Fourier-Related-Progression. 

De Rham electromotive flow, tends to work to bear less energy of heat transfer per Kelvin Mole, than an otherwise analogous electromotive flow, that instead, is of a Dolbeault-Related nature. This, in part, is due to a respectively heightened efficiency, in the directional accommodation, of optimal space-time-related gauging. 

A De Rham electromotive flow, when in terms of a hermitian current of electricity, tends to work to bear an electric field, that is inclined to move in the direction of least time, and, a magnetic flow, that is inclined to move in the direction of least distance. A De Rham flow of electrons, tends to be more efficient in its spatial transference, than an otherwise analogous flow of electrons, that instead, is of a Dolbeault-Related nature. 

When the speed of an accelerating Kahler Hamiltonian Topological Manifold is to escalate, there will generally tend to be a respective spontaneous incursion, of an alteration in the implicit team of energy’s contortion-based symmetry, in the form a consequentially spontaneous change in its piecewise continuous delineation, of which thereby consequently tends to work to be eminently effectual, upon the respective Chern-Simons-Related gauge-field, in the form of a resultantly perturbative electric field. 

When the direction of an accelerating Kahler Hamiltonian Topological Manifold is to viably alter, there will generally tend to be a respective spontaneous incursion, of an alteration in the implicit team of energy’s contortion-based symmetry, in the form of a consequentially spontaneous change in its morphological delineation, of which thereby consequently tends to work to be eminently effectual, upon the respective Chern-Simons-Related gauge-field, in the form of a resultantly perturbative magnetic field. 

Charge tends to generate ordered adhesion/repulsion. 

Entropy tends to generate disordered adhesion/repulsion. 

The Gliosis-Based coupling of unitary heuristic-gauge magnetic potential with angular frequency, tends to facilitate an externalized ordering of adhesion/repulsion. Whereas; The Gliosis-Based coupling of unitary heuristic-gauge magnetic potential with angular momentum, tends to facilitate an externalized disordering of adhesion/repulsion. 

The more perturbative that the Higgs Field tends to be, the more spontaneously disordered that the eminently corroborative mass formation, will consequently tend to be. 





Friday, March 10, 2023

Strong Heuristic Pulsation -- Hermitian Flow Of Progressive Lagrangian-Based Trace

 A given arbitrary Noether-Based Kahler Manifold, that works to express a relatively strong hermitian heuristic pulsation, will often tend to work to display the eminent flow, of the Fourier-Related-Progression, of a mappable piecewise continuous hermitian Lagrangian-Based Trace. SAMUEL ROACH.

The more resolute that the succinct motion is to be, of the spontaneous spatial translation, of a given arbitrary Kahler Hamiltonian Operator, through a worm-hole, the smoother that its eminently associated inertial-based pulsation, will consequently tend to be, over the general process, of such a directly associated genus of inferred spatial translation. 

The “unbridled” duration of Ultimon Flow, (of which is during the generally unnoticed duration of Ultimon Flow, which is in-between individually taken iterations of group-related instanton), is equivocally inverse tantamount, to the general Ultimon Flow characteristic, that is of the eminently related pseudo discrete inertia, the latter of which is directly appertaining, to the general reluctance in wave-tug perturbation, that the multiplicity of substringular phenomenology, is to be physically exhibiting, during the implicitly respective, generally noticed duration of Ultimon Flow. (As this is here to be meaning, the generally detectable duration, that is here to be inherently latent, during individually taken iterations, of group-related instanton.) Respectively, Furthermore; The general product, of pseudo discrete inertia, with the eminently associated pseudo discrete momentum (the latter of which, is the readiness in wave-tug perturbation), that I have recently here, have happened to implicitly mention in the writings above, works to bear an eminent association, with the scalar magnitude, of zero-point-energy.  

The proximal local exhibition, of a net positive Betti Action, may often tend to be indicative, of a covariant inflating generation, in the holonomic density, of an eminently associated set, of field-wise proximal local, cohomology-related eigenstates. Whereas; The proximal exhibition, of a net negative Betti Action, may often tend to be indicative, of a covariant deflation, in the holonomic density, of an eminently associated generative set, of field-wise proximal local, cohomology-related eigenstates.  

A Floer-Associated Fourier-Related-Progression, may often be eminently associated, with what may be considered to be akin, to the Lagrangian-Based Generation, of a De Rham (co)homology. Whereas; A Heegaard-Associated Fourier-Related-Progression, may often be eminently associated, with what may be considered to be akin, to the Lagrangian-Based Generation, of a Dolbeault (co)homology.  

The stronger the kinematic resolution, of the Fourier-Related-Progression, of a kinetically transferred, Kahler Hamiltonian Operator, the stronger that its eminently associated inertial-related pulsation, may consequently often tend to be.  

The general Noether-Based cyclical process, of the multiplicity of Yau-Exact, cohomology-based generation/de-degeneration, as this works to allow, for the general consideration, of the conservation of homotopic residue, may often tend to work to allow, for the differential fluctuations, of externalized cohomology-based mappable-tracings, to be facilitated, in exhibiting a tense of piecewise continuity, at the Poincaré level to the shell, of such individually taken, implicit cohomology-based eigenstates, to where the consequentially resultant flow, of such an implicit topological manifold, of projected trajectory, may thereupon often tend to bear, a tense of a hermitian, Lagrangian-Based externalized field, 

The stronger that the resolute Fourier-Related-Progression is to be, in relation to the general physical operation, of the Lagrangian-Based motion, of a given arbitrary kinetically transferred, Kahler Hamiltonian Operator, the more permeability, that the inferred topological manifold of cohesive discrete energy quanta, will thereby consequently tend to express, as it is here to bear an externalized proximal local covariant interaction, with the general phenomenology, of the spontaneously present existence, of the pressurized vacuum, that is resultantly exhibited, by the implicit potentially viscous form, of what may be described of here, as a viably considered tense, of a relatively densely distributed field, of zero-point-energy. 

 A Floer cohomology often tends to be akin, to a De Rham cohomology. Whereas; A Heegaard cohomology often tends to be akin, to a Dolbeault cohomology.  

When a Poincaré Delineation, is viably incurred, in a Gliosis-Related manner, upon the radial translation, of the Clifford Lagrangian-Based Expansion, of a kinetically transferred Kahler Hamiltonian Operator, at the general covariant delineated cite, of its kinematically propagated externalized field-density, it may often happen to occur, particularly if the said Kahler Hamiltonian Operator, is amiable, to behaving as a Calabi-Yau Manifold, that the resultant spin-orbital momentum, of which is here to be eminently associated, with the inter-dispersed roll of its electromotive curl, to where this may thereupon tend to be stultified, in its heuristically projected oscillation-based Lagrangian-Related Escalation, to where the consequentially resultant net vibration, of the implicit team of mass-associated energy-based eigenstates, will thereby often be tend to be relatively degenerative, in its net eminently associated angular frequency, as the gauged force of the said Poincaré Delineation, that is here to be spontaneously physically incurred, upon the topological framework, of the Ricci Flow, of its Lagrangian-Based projected trajectory, is to work to bear a steady-state-like quantum entanglement, upon the edge of the implicit externalized periphery, of the (co)homology-related bounds, of the covariant shell generation, of the mappably generative Chern-Simons-Related interactions, that are here to be viably in eminent association, with the recursive renunciation of those Lagrangian-Based Branes, of which are here to act, as a physical response to the embarking of (co)homology-related phenomenology, upon the space-time-fabric, that it is to come into immediate contact with. 

A compact mass-bearing Hamiltonian (Operator), that works to recursively alter, from first being of a hermitian metric, into then being of a complex metric, and back again, and so on, — may often, at times, be of such a nature, to where it may be spontaneously altering here, from first working to exhibit a relativistic Real Gaussian Eigenbase, into then working to exhibit a relativistic Li Gaussian Eigenbase, and back again, and so on, over time.  

Harmonically re-calibrated Chern-Simons Invariant gauge-actions, tend to work to couple i*PI(Del)Action eigenstates with frequency, facilitating the spontaneous formation of the multiplicity of charge.  

The strengthening of a given arbitrary superstring-related gauge-action, that tends to impel a given arbitrary eminently effected Hamiltonian topological manifold, may often tend to facilitate an acceleration, in the relative rate of speed, of that stated Hamiltonian topological manifold.

A relatively strong electric field, may often tend to bear, a relatively strong succinct nature, of kinematic flow. Whereas; A relatively strong magnetic field, may often tend to bear, a relatively strong resolute nature, of kinematic flow. Furthermore; A relatively strong electromagnetic field, may often tend to bear, an eminently associated kinematic flow, that is relatively strong, in both its corroborative succinct nature, &, in its corroborative resolute nature.  

Tuesday, February 28, 2023

Anti Gravity -- Working To Facilitate More Abrupt Changes In Inertia

 Since the attributable physical conditions, that a Ricci Smooth anti gravitational field is to work to allow for, when this is in terms of its physical effects, upon a directly associated given arbitrary kinematically transferred Kahler Manifold, of which is here to be proximal local, to such a stated anti gravitational field,  is thereby to have the general tendency, of moving in the direction, of working to allow for a more piecewise continuous Yau-Exact state of affairs, that it is hereby to logically follow, that such a stated general tense of an anti gravitational field, is often to work to facilitate the general capability, of thereby helping to work to allow, for the spontaneous occurrence, of more potentially abrupt yet hermitian changes in inertia, when this is in terms of a potentially altered Hamiltonian-Related drive, in the momentum-based eigenstates, that are here to be directly pertinent, to the orchestration of the Lagrangian-Based flow, of the net proscribed motion, of such an inferred kinetically differentiable Kahler Manifold, in time and space. TO BE CONTINUED! SAM.

An intensely piecewise continuous, covariant wave-front, that is here to be, of an eminently associated anti gravitational force, may often tend to work to exhibit, a diffeomorphic effectual incursion, of a directly associated lessened restraint, of the corroborative flow, of net discrete energy permittivity, that is thereby to be inherently expressed, by the kinematic motion, of the adherently associated, kinetically transferred, mass-bearing Kahler Hamiltonian Operator, that is here to be spatially propagated, as a relatively intensified, covariant delineated, Yau-Exact, Calabi-Yau topological manifold.  

When a tachyon-based pulse, is here to be spontaneously incurred, upon an initially De Rham Kahler Hamiltonian Manifold, the just implied “team” of mass-bearing energy quanta, will often tend to spontaneously result, in thus ensuing to work to bear, the consequentially present, proximal local statehood, of a Dolbeault cohomology. 

Induction coils, often tend to facilitate generating the energy, that is eminently corroborative, to a directly associated tense of charge. Whereas; Impedance coils, often tend to facilitate degenerating the energy, that is eminently corroborative, to a directly associated tense of charge. 

When the time-related progression, of a given arbitrary Fourier-Related System, is to spontaneously alter in its topological expression, from initially working to exhibit a Dolbeault cohomology-related setting, into then subsequently working to exhibit a De Rham cohomology-related setting, this situation may often tend to be indicative, of the covariant proximal local incursion, of a respectively eminently corroborative, effectual inter-relationship, with the likings of being viably imparted upon, by the physical operation, of a particular given arbitrary associated tense, of a pertinent Wess-Zumino Action.  


Friday, February 24, 2023

Next; As To Floer (Co)Homology, And Flat Homotopic Transfer

 A Floer (co)homology, that generates as much (co)homology as it degenerates, as taken in a piecewise continuous manner, has the general tendency, of working to express, a flat tense of homotopic transfer. SINCERELY, SAMUEL DAVID ROACH. 

The more recursively stable, that the spin-orbital momentum is to be, for a given arbitrary kinetically transferred, Kahler Hamiltonian (Operator), the lower that its eminently associated holomorphic perturbation, may often tend to be, in so long as it is of a Noether-Related nature.  

Kinetic spatially transferred Majorana-Weyl-Invariant spinners, that are recursive, in the isotropically stability of their eminently associated Lagrangian, will often tend to bear the respective covariant workings, of a consistently stable, recursive tense of vibrational pulse, as taken at the Poincaré level, to the topological Gliosis-Based surface. 

When a physical conductor, with both a very high fractal modulus & a very high elastic modulus, is to be spontaneously made, into a spring-like mechanism, it will tend to be eminently associated, with an enormously high “k.” Where “k” is the constant of the spring’s reaction. 

A highly knit adhesive viscous array, of a cohesive intermingled covariant set of zero point energy eigenstates, may often tend to behave, as expressing shield-like characteristics, that are thence to act, as a homomorphic entity, to be capable of potentially shielding the eminently associated implicit Kahler Hamiltonian Topological Manifold, from extraneously derived unwanted charges, that are here to otherwise be hazardous, since often, such unwanted charges may be tugged co-tangentially, towards the covariant net excitation of the distributional delineation of the implicit ships entity of topological manifold. 

When a general Wess Zumino Action, is to be spontaneously incurred, upon an initially microscopic, entropic eigenstate of Hamiltonian Topological Manifold, this general implicit behavior, may often tend to work to spontaneously inhibit, the potentially ensuing capacity, of an otherwise likely enhanced tense, of a covariant proximal local physically facilitated condition, of a tangentially flowing homotopic dispersion. 

The more relativistically proportionable bigger, that the annular apertures are to be, than the eminently corroborative apical apertures, that are of the directly associated links, of the eminently associated cochain complex, that is here to be adherently pertinent to the covariant cohomology-based topological structure, of a discrete mass-related Ward-Cauchy Manifold, the stronger that the eminently corroborative Majorana-Weyl-Invariant-Mode, will often tend to be, when otherwise analogous. 

When a metrically gauged Kahler Hamiltonian Topological Manifold, is predominantly resolute, it will consequently tend to spontaneously occur, that the implicitly inherent Poincaré Incursion, which is more than likely to be delineated, upon the topological substrate, of the here upon inferred covariant Fourier-Related-Progression, may thereby tend to work to bear a relatively strong, viably implemented, tense of a Gliosis-Based impartation, as projected upon the Hamiltonian trajectory of the Manifold.

When Individually Taken harmonic recursively re-calibrated Chern-Simons Invariant gauge-actions, when in terms of the eminently corroborative i*PI(Del) Action, works to couple with a harmonic frequency, this tends to work to form a hermitian charge.Whereas; When Individually Taken harmonic recursively re-calibrated Chern-Simons Invariant gauge-actions, when in terms of the eminently corroborative i*PI(Del) Action, works to couple with an anharmonic frequency, this tends to work to form a spurious charge. 

A recursively spinning, mass-bearing, Kahler Hamiltonian Topological Manifold, that is here to be accelerating transversally, will often tend to be spontaneously exhibiting, a tense of increasingly enhanced charge, particularly if its eminently corroborative spin-orbital momentum, is here to be spontaneously escalating, in a generative manner, over time. 

 

Wednesday, January 4, 2023

Dolbeault Cohomology -- Lack Of Piecewise Continuous Cohomological Deformation

 A Dolbeault Cohomology, tends to lack a piecewise continuous tense of cohomological deformation. SINCERELY, SAMUEL DAVID ROACH.

Tuesday, January 3, 2023

Ricci Flow -- Kahler-Metric

 When the Ricci Flow is smooth (involving a flat Ricci Curvature), which tends to be when cohomological deformation is piecewise continuous, the Kahler-Metric will often tend to be relatively eminent. SAM.

Sunday, November 20, 2022

Anti Gravity -- Piecewise Continuous Conservation Of Homotopic Residue

 The proximal local presence of anti gravity, often tends to facilitate the piecewise continuous conservation of homotopic residue. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Recursively Smooth Ricci Flow -- Piecewise Continuous Conservation Of Homotopic Residue

 When the Ricci Flow is recursively smooth, the directly associated homotopic residue tends to be conserved in a piecewise continuous manner. TO BE CONTINUED! SINCERELY, SAMUEL. 

Friday, November 11, 2022

Ricci Flow -- Escalating Euclidean Expansion -- Acceleration In Flow Of Frequency, Of The Correlative Transversal Hermicity

 When the Ricci Flow of a Hamiltonian Operator, is here to be undergoing an escalating Slater-Based Euclidean Expansion, the frequency in the flow of its correlative transversal hermicity, will consequently tend to accelerate, in a piecewise continuous manner, over a respective duration of time. SAMUEL. 

Ricci Flow -- Escalating Clifford Expansion, Over Time -- Increased Frequency In Correlative Flow Of Radial Hermicity

 When the Ricci Flow of a Hamiltonian Operator, is here to be undergoing an escalating Slater-Based Clifford Expansion, the frequency in the flow of its correlative radial hermicity, will consequently tend to accelerate, in a piecewise continuous manner, over a respective duration of time. SAMUEL ROACH. 

Friday, September 30, 2022

The More Yau-Exact That A Hamiltonian Operator Expresses Itself As

 The more Yau-Exact that a Noether-Based Hamiltonian Operator expresses itself as, the greater the tendency, that its directly associated generated homotopic residue, will spontaneously become  homogeneously distributed, in a piecewise continuous manner, over an ensuing duration of viable relativistic time. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL.

Friday, August 19, 2022

Balanced Ricci Flow Augmentation/Diminishment -- Balanced Cohomology-Related Generation/Degeneration -- Yau-Exact Nature

 The more piecewise continuous of a balance, that the inter-relationship between the regional proximal local tense of Ricci Flow Augmentation is to be, when this is in conjunction with the exhibited regional proximal local tense of Ricci Flow Diminishment, for a given arbitrary respective kinematically functional Hamiltonian Operator, of which is here to be directly correlative to such a related given arbitrary case scenario, the more piecewise continuous of a balance, that the directly corresponding cohomology-related generation is to work to exhibit -- in its eminent inter-relationship to its corroborative cohomology-related de-generation, -- to where, the more piecewise continuous of a Yau-Exact nature, of which such an implied Calabi-Yau-Related Hamiltonian Operator, is thereby to consequently tend to result, in working to exhibit, as this is here to be taken, over the duration course, of a correlative Fourier-Related-Progression. SAM ROACH.

Saturday, July 23, 2022

Gauge-Invariant Discrete Quantum Of Energy -- Piecewise Continuous Cohomology

 A Noether-Based gauge-invariant discrete quantum of energy, tends to work to bear a cohomology, that is delineated, in a piecewise continuous manner. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Friday, July 22, 2022

A Piecewise Continuous Cohomology

 A cohomology that is delineated in a piecewise continuous manner, tends to be hermitian. Samuel Roach.

As To Coherent Charge

 The more piecewise continuous that the delineation of a Noether-Based charge is over time, the more coherent that such a charge will often tend to be exhibited as. TO BE CONTINUED! SAMUEL ROACH.

Wednesday, May 18, 2022

Smooth Ricci Flow -- Flat Ricci Curvature -- More Succinctly Piecewise Continuous Cohomological Generation

 The smoother the Ricci Flow --  the more flat the Ricci Curvature -- the more Yau-Exact the correlative Hamiltonian Operator -- the more succinctly piecewise continuous the cohomological generation. SAM.

Friday, January 21, 2022

Flat Ricci Curvature -- Smooth Ricci Flow -- More Apt Piecewise Continuous Cohomology-Related Generation/De-Generation

 When it comes to a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, that is here to potentially be working to form a heuristic Yau-Exact Calabi-Yau Manifold:

The flatter the Ricci Curvature -- The smoother the Ricci Flow -- The more apt that such a directly corresponding given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, of which  is here to be exhibiting such a potentially considered heuristic Yau-Exact Calabi-Yau manifold, will thereby often tend to be, at being able to generate as much cohomology as it is here to be de-generating, in a correlatively piecewise continuous manner. TO BE CONTINUED! SINCERELY, SAMUEL ROACH.

Sunday, December 5, 2021

Stronger Consistent Tense Of Incurred Anti Gravity -- Quicker Yau-Exact Piecewise Continuous Nature

 The stronger of a consistently incurred upon tense of anti gravity, that is here to be directly applied, upon the proximal local recursive kinematically displaced covariant region, of a mass-bearing cohesive set of discrete energy quanta, both the quicker and the more evenly delineated, that the piecewise continuous nature is to result in becoming, that is here to be directly corresponding, to the correlative multiplicity, that is of its consequently induced upon ensuing Yau-Exact physical condition. TO BE CONTINUED! SAM.

Thursday, July 8, 2021

Homomorphic Superstring With A Khovanov Geometry -- Generation Of Cohomology

 A homomorphic open-looped superstring, that is here to be exhibiting a Khovanov geometry, will often tend to be able to have the capacity, of generating as much cohomology as it is here to be degenerating, when this is to be taken in a piecewise continuous manner, over a correlative allotted duration of time. SAM.

Thursday, August 29, 2019

Piecewise Continuous Transference of De Rham Cohomology

The more piecewise continuous that the motion of an orbifold eigenset, that is here to bear the transference of a De Rham cohomology, is to be expressed as, the more Yau-Exact that such a said orbifold eigenset, that is of a De Rham cohomology, is to tend to be translated as. This is the tendency in a Lagrangian-related manner -- because if such a cohomology is to be traced in a piecewise continuous manner, -- it will tend to only be changing in as many derivatives as the number of spatial dimensions that it is here to be moving through -- over the so-eluded-to duration, of a given arbitrary proscribed sequential series of group-related instantons.  Furthermore -- this is also the tendency in a metric-related manner, -- because if such a cohomology is to be traced in a piecewise continuous manner, -- it will then tend to maintain its tense of a dimensional-related pulsation, as well, through this so-eluded-to duration, of such a given arbitrary proscribed sequential series of group-related instantons.  I will continue with the suspense later!  To Be Continued!  Sam.