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  2. Set-builder notation - Wikipedia

    en.wikipedia.org/wiki/Set-builder_notation

    Set-builder notation can be used to describe a set that is defined by a predicate, that is, a logical formula that evaluates to true for an element of the set, and false otherwise. [2] In this form, set-builder notation has three parts: a variable, a colon or vertical bar separator, and a predicate. Thus there is a variable on the left of the ...

  3. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    Set-builder notation: denotes the set whose elements are listed between the braces, separated by commas. Set-builder notation : if P ( x ) {\displaystyle P(x)} is a predicate depending on a variable x , then both { x : P ( x ) } {\displaystyle \{x:P(x)\}} and { x ∣ P ( x ) } {\displaystyle \{x\mid P(x)\}} denote the set formed by the values ...

  4. Ideal quotient - Wikipedia

    en.wikipedia.org/wiki/Ideal_quotient

    It also arises in the description of the set difference in algebraic geometry (see below). ( I : J ) is sometimes referred to as a colon ideal because of the notation. In the context of fractional ideals , there is a related notion of the inverse of a fractional ideal.

  5. Table of mathematical symbols by introduction date - Wikipedia

    en.wikipedia.org/wiki/Table_of_mathematical...

    1684 (deriving from use of colon to denote fractions, dating back to 1633) ... braces, a.k.a. curly brackets (for set notation) 1895 Georg Cantor Blackboard bold ...

  6. Set (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Set_(mathematics)

    A set of polygons in an Euler diagram This set equals the one depicted above since both have the very same elements.. In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other ...

  7. List of logic symbols - Wikipedia

    en.wikipedia.org/wiki/List_of_logic_symbols

    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 .

  8. These Are the Only Ways You Should Be Using a Colon

    www.aol.com/only-ways-using-colon-212508888.html

    The colon is not something that shows up in the majority of sentences, like a period or a comma. And its use is not outwardly obvious like an exclamation point or a question mark. So here’s a ...

  9. Colon (punctuation) - Wikipedia

    en.wikipedia.org/wiki/Colon_(punctuation)

    The colon, :, is a punctuation mark consisting of two equally sized dots aligned vertically. A colon often precedes an explanation, a list, [1] or a quoted sentence. [2] It is also used between hours and minutes in time, [1] between certain elements in medical journal citations, [3] between chapter and verse in Bible citations, [4] and, in the US, for salutations in business letters and other ...