The great Czech-American mathematician, Karl Menger, in his delightful book, What Is Calculus?, describes three basic mathematical models: FLUENT, TREMBLAND, SALIENT.
- FLUENT: models a steady-state process either unchanging or chamging uniformly.
- TREMBLANT: oscillatory.
- SALIENT (from Latin, "saltus", for "jump"): jumps from one state to another.
Inspired by Menger, I formulated "The FuTeSatefu Hypothesis: Every process is a FuteSatefu process", meaning it passes from one condition to another: FLUENT→TREMBLANT→SALIENT→TREMBLANT→FLUENT.
For the composite label, "futesatefu", I took the first consonant, first vowel of the three labels -- "fu" for "fluent", "te" for "tremblant", "sa" for "salient". Since "fu" and "te" occur in initial and finial positions, I captalized their consonants in the initial position and left lower-case the finials: FuTesatefu.
I suggest that most folks have experience an "everyday" FuTesatefu process: starting an automobile. Before "starting", the engine is OFF in a steady-state, hence, FLUENT (Fu); turning the ignition key and stepping on starter evokes as TREMBLANT ("Ug-ug-ug-ug", more vocal and sustained in previous generation cars); the engine "catches", going SALIENTLY (Sa) from OFF-state to ON-state; a TREMBLANT in "settling down" (also very noticeable in ölder"cars); then the engine settles down FLUENTLY to the revving fixed for engine-idling.
In his book, Menger cites as a math-example of TREMBLANT, the "Weierstrass Function", which is "continuous everywhere", but "differentialble nowhere".
This was perhaps the first strategy I thought of as potentially WIN-WIN. I claim "All processes are FuTesatefu". If the processes my auditors observe fit my claim, I WIN. If apparently, further study shows why a components has been overlooked, or reasons why a component is excluded. And this results from querying which, likely, you'd never thought of making -- again WIN. Hence, WIN-WIN.
The FLUENT is typically CONTINUOUS or "analogic", while the SALIENT is DISCONTINUOUS or "digital". Hence, I've speculated about the "SaTefutesa Process".
Please see the FUTESATEFU TABLE of other examples.