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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!".
For example: "All humans are mortal, and Socrates is a human. ∴ Socrates is mortal." ∵ Abbreviation of "because" or "since". Placed between two assertions, it means that the first one is implied by the second one. For example: "11 is prime ∵ it has no positive integer factors other than itself and one." ∋ 1. Abbreviation of "such that".
This particular example is true, because 5 is a natural number, and when we substitute 5 for n, we produce the true statement =. It does not matter that " n × n = 25 {\displaystyle n\times n=25} " is true only for that single natural number, 5; the existence of a single solution is enough to prove this existential quantification to be true.
'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
The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics. Additionally, the subsequent columns contains an informal explanation, a short example, the Unicode location, the name for use in HTML documents, [1] and the LaTeX symbol.
The interrobang (/ ɪ n ˈ t ɛr ə b æ ŋ /), [1] also known as the interabang [2] ‽ (often represented by any of the following: ?!, !?, ?!?,?!!, !?? or !?!), is an unconventional punctuation mark intended to combine the functions of the question mark (also known as the interrogative point) [3] and the exclamation mark (also known in the jargon of printers and programmers as a "bang").
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 "∃!" [2] or "∃ =1". For example, the formal statement
Rigor is a cornerstone quality of mathematics, and can play an important role in preventing mathematics from degenerating into fallacies. well-behaved An object is well-behaved (in contrast with being Pathological ) if it satisfies certain prevailing regularity properties, or if it conforms to mathematical intuition (even though intuition can ...