### Nov 01, 2021

What is **change**? Consider the following familiar experiences: walking then running; standing then sitting; sleeping then waking up. We see in these scenarios mutually exclusive states and transitions from states to states.

Now consider subtle observations of typical buyers in many parts of the world who pay the sellers of the goods purchased with more cash than the cost of the goods. These buyers will surely ask for their respective *change*. Do we see in these scenarios mutually exclusive states and transitions from states to states? Yes.

So, *given two mutually exclusive states, ***change** is the transition from one state to the other. The state realized after the transition is also identified as *change*. This is the case when the buyer tells the seller "*give me my change*".

Let us consider some other common examples. Suppose a driver parks its car in lot A then decides to park his car in lot B instead. The car parked in lot A and the car parked in lot B are mutually exclusive states. So the transition from lot A to lot B is *change*. Now suppose the driver likes lot A and has parked his car there. Then a thief comes and steals the stereo equipment in the car. The car parked in lot A with its stereo intact and the same car parked in lot A without its stereo equipment are two mutually exclusive states. So *change* occurred. In essence, *change realizes a state different from the state from which the transition begins*. The transitional process may return to the initial state after transiting through intermediate states. For example, one returns home after a walk.

**Change** is mathematical because it is dynamic. In other words, there is always some type of motion involved in the transitional process between mutually exclusive states. The motion may be infinitestimal or exceedingly elaborate; internal or external; or both. Consequently, the analysis of *change* requires mathematics. In the parlance of *tectechnics*, *change* is a P_{5} PjProblem.

**Change** is existentially indispensable. *Change* is Time's mirror. It allows us to perceive *duration* (clock time) and the motions association with it which are *snapshots* of Time.

**Change** is the *gateway* to variability. In other words, variability is impossible without *mathemtical change*. Consider the variable X whose domain is the closed interval [a b], where a and b are real numbers. X is a *proper* variable if and only if it is able to take on the values in its domain through *change*.

In essence the *number space* is a gigantic gateway for existential variabilty. *Finite difference* and *differential calculus* are some of the mathematical tools mathematicians use to analyze *mathematical change*.

The *existential passages and destinations change provides* are not always palatable. The good news is that unpalatable existential passages and destinations provided by *change* are themselves subject to **change** within Time.

## For Knowledge Sake, One Code (S_{i}P_{j}A_{jk}) For All Knowledge
TECTechnics Overview