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In a context not requiring rigor, this phrase often appears as a labor-saving device when the technical details of a complete argument would outweigh the conceptual benefits. The author gives a proof in a simple enough case that the computations are reasonable, and then indicates that "in general" the proof is similar.
QED – "Quod erat demonstrandum", a Latin phrase used at the end of a definitive proof. QEF – " Quod erat faciendum ", a Latin phrase sometimes used at the end of a geometrical construction. R
In this section, the symbols that are listed are used as some sorts of punctuation marks in mathematical reasoning, or as abbreviations of natural language phrases. They are generally not used inside a formula. Some were used in classical logic for indicating the logical dependence between sentences written in plain language. Except for the ...
The English language has a number of words that denote specific or approximate quantities that are themselves not numbers. [1] Along with numerals, and special-purpose words like some, any, much, more, every, and all, they are quantifiers. Quantifiers are a kind of determiner and occur in many constructions with other determiners, like articles ...
Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities.
Use of common words with a derived meaning, generally more specific and more precise. For example, "or" means "one, the other or both", while, in common language, "both" is sometimes included and sometimes not. Also, a "line" is straight and has zero width. Use of common words with a meaning that is completely different from their common meaning.
The Greek phrase was used by many early Greek mathematicians, including Euclid [4] and Archimedes. The Latin phrase is attested in a 1501 Euclid translation of Giorgio Valla . [ 5 ] Its abbreviation q.e.d. is used once in 1598 by Johannes Praetorius , [ 6 ] more in 1643 by Anton Deusing , [ 7 ] extensively in 1655 by Isaac Barrow in the form Q ...
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