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A formal expression is a kind of string of symbols, created by the same production rules as standard expressions, however, they are used without regard to the meaning of the expression. In this way, two formal expressions are considered equal only if they are syntactically equal, that is, if they are the exact same expression.
This elegant expression ties together arguably the five most important mathematical constants (e, i, , 1, and 0) with the two most common mathematical symbols (+, =). Euler's identity is a special case of Euler's formula , which the physicist Richard Feynman called "our jewel" and "the most remarkable formula in mathematics". [ 7 ]
A rhetorical shortcut made by authors who invite the reader to verify, at a glance, the correctness of a proposed expression or deduction. If an expression can be evaluated by straightforward application of simple techniques and without recourse to extended calculation or general theory, then it can be evaluated by inspection.
The use of Unicode characters for blackboard bold is discouraged in English Wikipedia; instead, either the LaTeX rendering (for example <math>\mathbb{Z}</math> or <math>\Z</math>) or standard bold fonts should be used. As with all such choices, each article should be consistent with itself, and editors should not change articles from one choice ...
Also apophthegm. A terse, pithy saying, akin to a proverb, maxim, or aphorism. aposiopesis A rhetorical device in which speech is broken off abruptly and the sentence is left unfinished. apostrophe A figure of speech in which a speaker breaks off from addressing the audience (e.g., in a play) and directs speech to a third party such as an opposing litigant or some other individual, sometimes ...
An idiom is an expression that has a figurative meaning often related, but different from the literal meaning of the phrase. Example: You should keep your eye out for him. A pun is an expression intended for a humorous or rhetorical effect by exploiting different meanings of words. Example: I wondered why the ball was getting bigger. Then it ...
Many mathematical objects consist of a set, often called the underlying set, equipped with some additional structure, such as a mathematical operation or a topology.It is a common abuse of notation to use the same notation for the underlying set and the structured object (a phenomenon known as suppression of parameters [3]).
Illustration of a simple house in Flatland. Mathematical fiction is a genre of creative fictional work in which mathematics and mathematicians play important roles. The form and the medium of the works are not important.