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(also known as exclamation point in American English) is a punctuation mark usually used after an interjection or exclamation to indicate strong feelings or to show emphasis. The exclamation mark often marks the end of a sentence, for example: "Watch out!".
Consider the formal sentence . For some natural number , =.. This is a single statement using existential quantification. It is roughly analogous to the informal sentence "Either =, or =, or =, or... and so on," but more precise, because it doesn't need us to infer the meaning of the phrase "and so on."
Perfect matchings may be described in several other equivalent ways, including involutions without fixed points on a set of n + 1 items (permutations in which each cycle is a pair) [1] or chord diagrams (sets of chords of a set of n + 1 points evenly spaced on a circle such that each point is the endpoint of exactly one chord, also called ...
Historically, upper-case letters were used for representing points in geometry, and lower-case letters were used for variables and constants. Letters are used for representing many other types of mathematical object. As the number of these types has increased, the Greek alphabet and some Hebrew letters have also come to be used.
'Question mark' and 'Exclamation mark') Inverted question and exclamation marks ¡ Inverted exclamation mark: Exclamation mark, Interrobang ¿ Inverted question mark: Question mark, Interrobang < Less-than sign: Angle bracket, Chevron, Guillemet Lozenge: Square lozenge ("Pillow") ☞ Manicule: Index, Obelus: º: Masculine ordinal indicator
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
Outside of the Spanish-speaking world, John Wilkins proposed using the upside-down exclamation mark "¡" as a symbol at the end of a sentence to denote irony in 1668. He was one of many, including Desiderius Erasmus, who felt there was a need for such a punctuation mark, but Wilkins' proposal, like the other attempts, failed to take hold.
In mathematics and logic, the term "uniqueness" refers to the property of being the one and only object satisfying a certain condition. [1] This sort of quantification is known as uniqueness quantification or unique existential quantification, and is often denoted with the symbols "∃!"