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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".
In category theory, an end of a functor : is a universal dinatural transformation from an object e of X to S. [1]More explicitly, this is a pair (,), where e is an object of X and : ¨ is an extranatural transformation such that for every extranatural transformation : ¨ there exists a unique morphism : of X with = for every object a of C.
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 four hyphen/dash-like characters used in Wikipedia are: - is a hyphen-minus (ASCII 2D, Unicode 002D), normally used as a hyphen, or in math expressions as a minus sign – is an en dash (Unicode 2013). This can also be entered from the Special characters: Symbols bar above the text-entry field; it's between the m³ and —
For example, the constant π may be defined as the ratio of the length of a circle's circumference to its diameter. The following list includes a decimal expansion and set containing each number, ordered by year of discovery. The column headings may be clicked to sort the table alphabetically, by decimal value, or by set.
Mathematical notation is widely used in mathematics, science, and engineering for representing complex concepts and properties in a concise, unambiguous, and accurate way. For example, the physicist Albert Einstein's formula = is the quantitative representation in mathematical notation of mass–energy equivalence. [1]
The hyphen ‐ is a punctuation mark used to join words and to separate syllables of a single word. The use of hyphens is called hyphenation. [1]The hyphen is sometimes confused with dashes (en dash –, em dash — and others), which are wider, or with the minus sign −, which is also wider and usually drawn a little higher to match the crossbar in the plus sign +.
For example, "almost all prime numbers are odd". There is a more complicated meaning for integers as well, discussed in the main article. Finally, this term is sometimes used synonymously with generic, below. arbitrarily large Notions which arise mostly in the context of limits, referring to the recurrence of a phenomenon as the limit is approached