Relating To Conically Driven Tense Of Angular Momentum

 A given arbitrary Hamiltonian Operator, that is here to be exhibiting the display of a unitary Lagrangian, will often tend to have a more conically driven tense of angular momentum, than the motion of the otherwise analogous Fourier-Related-Progression, of such a respective inferred general genus of a Hamiltonian Operator, that is, instead, to be exhibiting the display of a binary Lagrangian. Furthermore; A given arbitrary Hamiltonian Operator, that is here to be exhibiting the display of a binary Lagrangian, will often tend to have a more conically driven tense of angular momentum, than the motion of the otherwise analogous Fourier-Related-Progression, of such a respective inferred general genus of a Hamiltonian Operator, that is, instead, to be exhibiting the display of a tertiary Lagrangian. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

As To Metric-Related Pulsation

 A binary metric-related pulsation, often tends to have a deeper dimensional pulsation, than an otherwise analogous unitary metric-related pulsation; A tertiary metric-related pulsation, often tends to have a deeper dimensional pulsation, than an otherwise analogous binary metric-related pulsation, etc. ... Sincerely, Sam. 

Nature Of Lagrangian-Based Paths And Conservation Of Homotopic Residue

 When an accelerating mass-bearing cohesive set of discrete energy quanta, is here to be spatially transferred -- via a unitary Lagrangian-based path -- then, each correlative individually taken dimensional-related variable, that is here to work to help in describing the nature of the directly corresponding homotopic residue, that is here to tend to be conserved, will consequently tend to work to bear a unitary directoral. When an accelerating mass-bearing cohesive set of discrete energy quanta, is here to be spatially transferred -- via a binary Lagrangian-based path -- then, each correlative individually taken dimensional-related variable, that is here to work to help in describing the nature of the directly corresponding homotopic residue, that is here to tend to be conserved, will consequently tend to work to bear a binary directoral. When an accelerating mass-bearing cohesive set of discrete energy quanta, is here to be spatially transferred -- via a tertiary Lagrangian-based path -- then, each  correlative individually taken dimensional-related variable, that is here to work to help in describing the nature of the directly corresponding homotopic residue, that is here to tend to be conserved, will consequently tend to work bear a tertiary directoral; etc... . To Be Continued! Sincerely,  SAMUEL DAVID ROACH. (1989).

Attritional Homotopic Residue

 When a cohesive set of discrete energy  quanta, is here to be displaying a unitary attenuated expanding Lagrangian, -- it will consequently tend to be exhibiting, a tense of a unitary attrition, of its correlative regional proximal local homotopic redidue. When a cohesive set of discrete energy quanta, is here to be displaying a binary attenuated expanding Lagrangian, -- it will consequently tend to be exhibiting, a tense of a binary attrition, of its correlative regional proximal local homotopic residue. Furthermore; when a cohesive set of discrete energy quanta, is here to be displaying a tertiary attenuated expanding Lagrangian, - it will consequently tend to be exhibiting, a tense of a tertiary attrition, of its correlative regional proximal local homotopic residue., etc... . To Be Continued! Sincerely, SAMUEL DAVD ROACH. (FROM PINCKNEY MICHIGAN, HIGH SCHOOL CLASS OF 1989.).

Compounded Homotopic Residue

 In general — a binary homeomorphic escalating Lagrangian, that is here to be undergoing a Euclidean/Clifford Expansion, tends to work to exhibit a greater scalar attribute, of a proximal local tense of compounded homotopic residue, than a unitary homeomorphic escalating respective Lagrangian, that is here to be undergoing a respective Euclidean/Clifford Lagrangian does; a tertiary homeomorphic escalating Lagrangian, that is here to be undergoing a Euclidean/Clifford Expansion, tends to work to exhibit a greater scalar attribute, of a proximal local tense of compounded homotopic residue, than a binary homeomorpjhic escalating respective Lagrangian, that is here to be exhibiting a Euclidean/Clifford Expansion does; etc... . I will continue with the suspense later! Sincerely, SAMUEL DAVID ROACH.

Gauge-Metric-Related Pulsation And Its Correlative Tree-Amplitude Attribute

Let's initially consider an orbifold eigenset, -- that is here to be exhibiting a behavior that is to be tantamount to a gauge-metric, that is here to be pulsating through time and space, via a directly corresponding Hamiltonian operand, that is here to act as a binary Lagrangian-based path in time and space. Next, let's say that the relative velocity of such a said orbifold eigenset, is here to be maintained.  Let's next say that a Hamiltonian operator that is here to be exhibiting a tense of a holonomic substrate, that is here to make such a said operator to be tantamount to be acting as a phenomenology of metric-gauge, to where such a said Hamiltonian operator is to spontaneously couple in a Yukawa-related manner with the initially stated orbifold eigenset, in a manner that is here to subsequently work to help in causing the initially stated orbifold eigenset to alter in its Kahler-related quotient, in such a manner to where its directly corresponding Lagrangian-based path, is to alter into a resultant tense of acting as a tertiary Lagrangian-based path, -- to where the tree-amplitude-related tense of the motion of the initially stated orbifold eigenset, is to now to tend to work to bear an increase in its genus of knotted interaction with its immediate environment -- over an evenly-gauged Hamiltonian eigenmetric.  Such a perturbation in the Lagrangian of the motion of the initially inferred set of discrete energy quanta, that are here to operate in so as to perform one specific function, will then tend to work to cause the so-eluded-to orbifold eigenset, that has here to have increased in its genus of tree-based Lagrangian scalar, to become of more of a Yukawa-based influence upon the motion of the general region in which the said orbifold is here to be moving through, as it is here to have gone from acting as a metric-gauge that is here to have been traveling via a binary Lagrangian-based path, Into acting as a metric-gauge that is here to result in consequently to be traveling via a tertiary Lagrangian-based path.  I will continue with the suspense later! To Be Continued!Samuel Roach.

Next As To Binary And Tertiary Lagrangian-Based Paths

If a given arbitrary tense of a cohomological stratum, that is here to be formed by the respective action of the Fourier Transformation, that is of a correlative given arbitrary bosonic orbifold eigenset, is to here to be of either a binary Lagrangian-based path or of a tertiary Lagrangian-based path -- then, such a tense of a cohomological stratum, is a bit more likely to work to then be of a Duboult (Dubeault) nature of cohomology -- than such a symplectic residue of motion would otherwise be, if that respective activity of the Fourier Transformation of the said correlative given arbitrary bosonic orbifold eigenset were to, instead, to be of a unitary Lagrangian-based path.  Consequently -- if a given arbitrary tense of a cohomological stratum, that is here to be formed by the respective action of the Fourier Transformation of a correlative given arbitrary bosonic orbifold eigenset, is to here to be of a unitary Lagrangian-based path -- then,  such a tense of a cohomological stratum is a bit more likely to work to be of a De Rham nature of cohomology -- than such a symplectic residue of motion would otherwise be, if that respective activity of the Fourier Transformation of the said correlative given arbitrary bosonic orbifold eigenset were to, instead, to be of either of a binary or of a tertiary Lagrangian-based path.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Binary And Tertiary Lagrangian-Based Paths

If an orbifold eigenset that is here of a Noether-based flow, is to bear a tense of motion that is go through the course of its translation from one spot to another in the substringular -- in such a manner, to where its transference through the fabric of space and time, may be described of by an interaction that is between two different distinct directorial-related equations, over the course of the same evenly-gauged Hamiltonian eigenmetric, to where such a motion-related path is NOT of any tree-amplitude-based nature, -- then, one may say here that the path of the said orbifold eigenset -- as it is here to be translated from one spot to another in such a manner -- may then tend to be described of as to here be moving through a binary Lagrangian-based path.  Furthermore -- if an orbifold eigenset that is of a Noether-based flow, is to bear a tense of motion that is to go through the course of its translation from one spot to another in the substringular -- in such a manner, to where its transference through the fabric of space and time may be described of by an interaction that is between three different distinct directorial-related equations, over the course of the same evenly-gauged Hamiltonian eigenmetric, to where such a motion-related path is NOT of any tree-amplitude-based nature, --  then, one may say here that the path of the said orbifold eigenset -- as it is here to be translated from one spot to another in such a manner -- may then tend to be described of as to here be moving through a tertiary Lagrangian-based path.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.