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  2. Sentence (mathematical logic) - Wikipedia

    en.wikipedia.org/wiki/Sentence_(mathematical_logic)

    is a sentence. This sentence means that for every y, there is an x such that =. This sentence is true for positive real numbers, false for real numbers, and true for complex numbers. However, the formula (=) is not a sentence because of the presence of the free variable y.

  3. Complex number - Wikipedia

    en.wikipedia.org/wiki/Complex_number

    A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the "imaginary unit", that satisfies i 2 = −1.

  4. Wikipedia : Manual of Style/Text formatting

    en.wikipedia.org/wiki/Wikipedia:Manual_of_Style/...

    It may be preferable to avoid the need for emphasis by rewriting a sentence more explicitly. Use of emphasis more than once in a sentence is rarely helpful to readers, unless the emphasized terms are being directly compared (more often a words-as-words case for regular italics). See also: § Quotations, below.

  5. Blackboard bold - Wikipedia

    en.wikipedia.org/wiki/Blackboard_bold

    The style is most commonly used to represent the number sets (natural numbers), , (rational numbers), (real numbers), and (complex numbers). To imitate a bold typeface on a typewriter , a character can be typed over itself (called double-striking ); [ 1 ] symbols thus produced are called double-struck , and this name is sometimes adopted for ...

  6. Complex data type - Wikipedia

    en.wikipedia.org/wiki/Complex_data_type

    The JAS library allows the use of complex numbers. Netlib has a complex number class for Java. javafastcomplex also adds complex number support for Java; jcomplexnumber is a project on implementation of complex number in Java. JLinAlg includes complex numbers with arbitrary precision. Common Lisp: The ANSI Common Lisp standard supports complex ...

  7. Complex-base system - Wikipedia

    en.wikipedia.org/wiki/Complex-base_system

    Binary coding systems of complex numbers, i.e. systems with the digits = {,}, are of practical interest. [9] Listed below are some coding systems , (all are special cases of the systems above) and resp. codes for the (decimal) numbers −1, 2, −2, i. The standard binary (which requires a sign, first line) and the "negabinary" systems (second ...

  8. Algebraic number - Wikipedia

    en.wikipedia.org/wiki/Algebraic_number

    The set of algebraic numbers is countable, [4] [5] and therefore its Lebesgue measure as a subset of the complex numbers is 0 (essentially, the algebraic numbers take up no space in the complex numbers). That is to say, "almost all" real and complex numbers are transcendental. All algebraic numbers are computable and therefore definable and ...

  9. List of mathematical abbreviations - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical...

    R – real numbers. ran – range of a function. rank – rank of a matrix. (Also written as rk.) Re – real part of a complex number. [2] (Also written.) resp – respectively. RHS – right-hand side of an equation. rk – rank. (Also written as rank.) RMS, rms – root mean square. rng – non-unital ring. rot – rotor of a vector field.