Team. It seems that an unfortunate situation is occurring in modern history. Old books are slowly being destroyed and recycled.
And, in that language is in constant flux with slang terms from the urban dictionary like "throke" filling the airways of modern conversation.
Having a reference handy is quite wise.
For one, a term in modern computing which has been misused is "heuristic". It simply means a challenging problem in mathematics which might require that one recall some facts from early subjects which they should have learnt well and mastered. That lesson was learnt while scanning an old dictionary that was the property of the author's grandmother while he was in seventh or eighth grade.
At, which time he constructed a few "different" very simple ones.
The modern connotation for this term in computing is a "impossible" problem. Which might require an inordinate amount of computation resources in its resolution. And, it is often proposed before classrooms that an efficient solution in time and space resources is not feasible.
And, on the topic of "intractable" problems:
The following "simple" problem might be classed as a heuristic. It is a "simple" challenge question for algebra students who have just learnt the art of simple polynomial multiplication .
"How might one produce a pocket square from a 'bow-tie' or an 'handkerchief'?" provided the following binomials and trinomial. The diagrams are at the "base" of this www-history. And, one of the solutions might be somewhat shocking.
Actually, this is drawn from a classic lesson in algebra that can enter a segue that describes a complementary lesson in graph theory.
Although, this first question might be a simple one for many "highschool-aged" algebra students.
It would be a "splendid" conceptual basis for an "heuristic" that mixed principles from numerous subfields such as topology, abstract algebra, optimization, set theory, or others. When, first hidden under layers of postulates, theorems, corollaries, relationships, and axioms. This is all that mathematicians ever do. They often meld a challenging question around a simple mathematical construct.
One might spend an entire career building substantial and meaningful problems around a few such simple relational and logical building blocks.
Such is the case with ECT - elliptical curve technology - it was drafted up by the author. And, he was rather surprised that it reached the "realm of use" by "professional-grade" mathematicians apparently for ciphering information. The phrase near the original construction that was drawn in that notebook while lollygagging and daydreaming during a trigonometry and pre-calculus class be "could this be used for hiding information". This was an hint for the student who sat beside the author in class who was working on modules in upper division subjects, like undergraduate topology, while in high-school. He would often peer over and look at the recreational mathematics notes sketched by this loon.
Finally, a note for those taught otherwise. The mnemonic used for describing this procedure is often called based upon [ First, Outer, Inner, Last ] when addressing this question of finding the product of a couple of binomials such as ( A + B ) * ( C + D ) or our bow-tie. However, this is "best" remembered using the diagram below. It is more descriptive than the four-letter mathematical term drawn from the first capital letter of each word. The phrase is the equivalent of calculated profanity that permanently fixes a learning barrier in the mind of many students. One might decimate this barrier if he recognizes the relationships that occur between each term when forming the product. These fully-realized understanding makes the associated acronym as tenuous as the tin extracted from the hills of Tennessee drawn thin and spun around a cylinder of cardboard..
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