Showing posts with label Cauchy. Show all posts
Showing posts with label Cauchy. Show all posts

Thursday, May 13, 2021

Boundary Conditions -- My Take, (In "Laymen's" Terms)

 Let us consider the five different reductional types of boundary conditions that exist:

1) Neumann conditions: Consider a physical "thing," -- at a "snapshot" of time. One may perceive of the boundary conditions of the "thing" as a "thing," to be analogous to the Neumann boundary conditions.

2) Dirichlet conditions: Consider the motion of the earlier stated "thing." One may perceive of the boundary conditions of the motion of this "thing," to be analogous to the Dirichlet boundary conditions.

3) Cauchy conditions: Consider the combined boundary conditions, of both the "thing" as a "thing" -- while in conjunction with the boundary conditions of the motion of such a stated "thing." One may perceive of this resultant set of boundary conditions, as being analogous to the Cauchy boundary conditions.

4) Robin conditions: Consider the Cauchy-like boundary conditions of a movable "thing," as it has some sort of a restraint (a certain tense of an impedance) applied upon it's tense of motion. One may perceive of this general type of a set of boundary conditions, as being analogous to the Robin boundary conditions.

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5) Mixed conditions: Consider the boundary conditions that are here to exist, in any relevant case, when either the "thing" of motion, and/or when the motion of such a stated "thing," is to alter in its phenomenology. One may perceive of this general type of a set of boundary conditions, as being analogous to the Mixed boundary conditions. (P.S.: I apologize; yet, the term, "mixed boundary conditions," has more of a tendency, of generally working to refer to partial aspects, that are of the other reductional types of physical boundary conditions, -- particularly, of either Cauchy boundary conditions/ Robin boundary conditions.)

Hope all is well! Sincerely, SAMUEL DAVID ROACH. 

Friday, May 7, 2021

Relatively Higher Quantum Density Of Rarita Structure Eigenstates -- Relatively Higher Probability Of Correlative Cohomology-Related Perturbation

 The relatively higher that the given arbitrary quantum density of Rarita Structure eigenstates is to be, when this is here to be considered from within the Ward-Cauchy-Related confines, of the directly corresponding covariant region, in which a respective given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is here to be in the process of being spatially transferred through, over a proscribed given arbitrary discrete period of time, the relatively higher that the directly corresponding probability, that such a said set of discrete energy quanta, will consequently tend to result, in working to bear a greater tense of cohomology-related perturbation. Sincerely, SAMUEL ROACH. (1989).

Saturday, April 18, 2020

Here's A Basic One

Here's a basic idea, that I have eluded to before:

When two different orbifold eigensets that work to bear a tense of a converging Ward-Supplemental path --  when in covariance with one another, -- are to spontaneously work to bear a "head-on" Gliosis-based tangency, -- this will tend to work to cause these two different just mentioned orbifold eigensets, to end-up working to bear antiholomorphic Ward-Cauchy-related Kahler conditions, in either their metric and/or in their Lagrangian-related kinematic physical boundary conditions. Sincerely, Samuel David Roach.