Showing posts with label Robin. Show all posts
Showing posts with label Robin. Show all posts

Monday, March 28, 2022

Asymptotic Approach Towards Region Of Outer Topological Edge Of Robin Boundary

 When the kinematic projection of a respective Fourier Transformation, that is of a hermitian cohomology-related topological manifold, of which is here to be working to exhibit the display, of bearing a Clifford-Like Expansion, that is here to be gauged in its direction in a hyperbolic manner, as being delineated in an escalating covariant manner,  towards the set general region of an externalized steady-stated edge, that is here to behave, as exhibiting the general mannerisms of a Robin-like boundary condition, the resultant of such a general genus of activity, will thereby often have the general tendency, of working to allow for the inferred approach, that is here to be occurring towards the said general steady-state region, that is of the topological manifold of such an inferred externalized edge, to result in tending to be kinematically projected in an asymptotic manner, that is here to tend to work to bear a relative tense, of a proximal local inverted concavity. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH.

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.