The above diagram is an illustration of the mathematical identity, the *summary of existence*. It consists of *matter's residency* (represented by *{m}*_{n} ⊆ *s*_{i} in the *summary of existence*) in space and how *7 universal concepts*: *containership*, *identity*, *force*, *motion*, *change*, *grouping/interaction* and *equilibrium*, influence the dynamism of matter's space. Problems posed by these *7 universal concepts* we call *p*_{j} *problems*. All problems nature poses to humans are *p*_{j} problems. In other words, the Knowledge-Information Continuum humans have established is a composite of only *p*_{j} problems.

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*Most problems are composites of * p*_{j} problems. In such scenarios, there are *Dependent P*_{j} Problems (DPP) and *Independent P*_{j} Problems (IPP). The problem for which solution is sought is the * P*_{j} Problem of Interest (PPI). For example, Consider a pot of water that is placed on a heated stove. Initially, there is one *p*_{j} problem associated with this scenario: the contanership property of the pot. There will be two *p*_{j} problems if the identity of the liquid in the pot is required (in this case we know that it is water). When the water in the pot begins to boil, the *p*_{j} problems of *motion* and *force* due to the kinetic energy of the atoms of the water come into play. So does the *p*_{j} problem of *change* due to the decrease in volume of the boiling water. All *p*_{j} problems in this scenario except the *containership problem* are *dependent p*_{j} problems. The * P*_{j} Problem of Interest (PPI) is the problem for which solution is sought. For example, the problem of interest (PPI) may be to determine the change in volume of the water after it has boiled for some time *t*.

The *TECTechnics Classroom* is a virtual space where we present *p*_{j} problems and their solutions for comments and discussions. It is located in the *forum* and is freely accessible to registered users. These solutions indicate snapshots (a given *t* within time of birth *t*_{b} and time of death *t*_{d}) of *matters' residency* in space, *IPPs*, *DPPs* and in particular, *PPIs*. In the *TECTechnics Classroom* the movement is from the *familiar* (all 7 universal concepts are familiar to the average person) to the complex. The student is the teacher and the teacher is the student, that is to say that everyone is a perpetual learner.

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