Triadic Unit Mesh - The Mathematics

Strings (SiPjAjk) = S7P7A72     Base Sequence = 12735     String Sequence = 12735 - 7 - 72

Expressions Of Pj Problems
Triadic Unit Mesh - The Mathematics
Math Human technological advancement is impressive and very much needed in modern civilization. However, The human mind, a pen/pencil and paper remain the best tools for concepts-sketching. The Triadic Unit Mesh (TUM) is an effective intellectual abstraction for concepts-sketching. Its effectiveness is inherent in its conceptual simplicity.

Explain the meaning of the mathematics of TUM.

The strings: S7P7A72 (Dynamic - Equilbrium).

The math:
Pj Problem of Interest is of type equilibrium (static or dynamic). The end goal of the building of a structure is to realize static or dynamic equilibrium. There are only few types of existential problems (7 Pj Problems). Complex problems are only repetitions of Pj Problems. One can compact these 7 Pj Problems to one Pj Problem, the containership problem. However, such compacting will then imply the remaining six problems and as a result, their explicit characters will be hidden.

This hiding of explicit problem character is found in system, a very useful word in analysis that indicates the space of interest explicity and the problem of interest implicity. In order to make explicit the problem character of a space of interest one must string to the space of interest the problems of interest (PPI). In other words, the SiPjAjk (PjProblemStrings). Consequently, all problems reduce to the mathematics of SiPjAjk.

The mathematics of TUM means solving the SiPjAjk assigned to the sides and vertices of TUM (figure 125.2b). Static or dynamic equilibrium (SiP7A7k) is the dominant PPI at the vertices while grouping/interaction (SiP6A6k) is the dominant PPI in the spaces represented by the sides of TUM. In the space represented by AC, the PPI is the identity (SiP2A2k) of the elements/material (including the material science) needed for the building block. In the space represented by ED, the PPI is the static or dynamic equilibrium (SiP7A7k) of the entity of interest.

The containership problem is established in all of the spaces of interest. Thereafter, knowledge of the PPI for a space of interest will reveal the other PJ Problems needed to realize the PPI for the space. The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
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