Engines- The PjProblemStrings

Strings (SiPjAjk) = S7P3A32     Base Sequence = 12735     String Sequence = 12735 - 3 - 32

Expressions Of Pj Problems
Engines - The PjProblemStrings
Math Matter's adventure in apriori Space, is the Story of the Universe. This Story is a mesh of infinitely many PjProblemStrings. As a result of their sophisticated mind and physical weakness, humans have developed myriad machines (simple and complex) to aid them in their adventures.

(a) What is the difference between a machine and an engine?
(b) PjProblemStrings are everywhere. Review this
fundamentally universal concept with a brief description.
(c) All 7 Pj Problems are featured in the construction of an engine. However, only two PjProblemStrings represent
the Pj Problems of Interests (PPI). List them and explain.

The strings: S7P3A32 (Force-Push).

The math:
Pj Problem of Interest is of type force (push/pull). (a) A machine is any device that helps to do work by changing the amount of force or the speed of action. An engine is a type of machine. A machine in which human energy is the sole source of energy, can be contructed (e.g the hammer and the screwdriver). Engines require other sources of energy to function and usually converts the energy to mechanical energy (e.g the internal combustion engine).

(b) The term PjProblemStrings refines the term systems. System indicates the space of interest explicity and the problem of interest implicitly. In order to make explicit the problem character of a space of interest one must string to the space of interest (Si) the problem of interest which consists of Pj Problems (Pj) and their variations (Alleles, Ajk). The result of this stringing is a PjProblemString (SiPjAjk). In order words, a PjProblemString (SiPjAjk) is a system with the problem of intrest indicated explicitly.

(c) The functional objective of all engines is to do work (force x distance). In other words, a force that will effect motion. The force is derived from the energy. Consequently, given a multi-matter multi-dynamic space (S7), the PjProblemStrings (SiPjAjk) of interest are:
(1) S7P3A3k, where k = 1 or 2 (force - push or pull).
(2) S7P4A4k, where k = 1, 2, 3, 4 (motion - linear, rotary, reciprocal, oscillatory).
Where k will depend on the particular scenarios. In some scenarios, both types of forces and all four types of motions are at play.
All other required PjProblemStrings are then conceptually aligned in sync with the PjProblemStrings of (1) and (2) to realize static equilibrium (S7P7A71) or dynamic equilibrium (S7P7A72). 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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Blessed are they that have not seen, and yet have believed. John 20:29