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More generally, the solution set to an arbitrary collection E of relations (E i) (i varying in some index set I) for a collection of unknowns (), supposed to take values in respective spaces (), is the set S of all solutions to the relations E, where a solution () is a family of values (()) such that substituting () by () in the collection E makes all relations "true".
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.
Note that a null set is not necessarily an empty set. Common notations for the empty set include "{}", "∅", and " ∅ {\displaystyle \emptyset } ". The latter two symbols were introduced by the Bourbaki group (specifically André Weil ) in 1939, inspired by the letter Ø in the Danish and Norwegian alphabets (and not related in any way to the ...
Astronomical symbols – Symbols in astronomy; Chemical symbol – Abbreviations used in chemistry; Chinese punctuation – Punctuation used with Chinese characters; Currency symbol – Symbol used to represent a monetary currency's name; Diacritic – Modifier mark added to a letter (accent marks etc.)
As of Unicode version 16.0, there are 155,063 characters with code points, covering 168 modern and historical scripts, as well as multiple symbol sets.This article includes the 1,062 characters in the Multilingual European Character Set 2 subset, and some additional related characters.
The set of solutions to an equation or system of equations is called its solution set. [20] For example, the set of all solution pairs ( x , y ) {\displaystyle (x,y)} of the equation x 2 + y 2 = 1 {\displaystyle x^{2}+y^{2}=1} forms the unit circle in analytic geometry ; therefore, this equation is called the equation of the unit circle .
On many Unix systems and early dial-up bulletin board systems the only common standard for box-drawing characters was the VT100 alternate character set (see also: DEC Special Graphics). The escape sequence Esc ( 0 switched the codes for lower-case ASCII letters to draw this set, and the sequence Esc ( B switched back:
This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions, and performing calculations, involving these operations and relations.