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  2. 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.

  3. Indra's Pearls (book) - Wikipedia

    en.wikipedia.org/wiki/Indra's_Pearls_(book)

    The language of symmetry – an introduction to the mathematical concept of symmetry and its relation to geometric groups. Chapter 2. A delightful fiction – an introduction to complex numbers and mappings of the complex plane and the Riemann sphere. Chapter 3. Double spirals and Möbius maps – Möbius transformations and their ...

  4. Multicomplex number - Wikipedia

    en.wikipedia.org/wiki/Multicomplex_number

    In mathematics, the multicomplex number systems are defined inductively as follows: Let C 0 be the real number system. For every n > 0 let i n be a square root of −1, that is, an imaginary unit .

  5. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Download as PDF; Printable version; ... A fundamental innovation was the ancient Greeks' introduction of the concept of ... where variables represent complex numbers.

  6. Complex analysis - Wikipedia

    en.wikipedia.org/wiki/Complex_analysis

    A complex function is a function from complex numbers to complex numbers. In other words, it is a function that has a (not necessarily proper) subset of the complex numbers as a domain and the complex numbers as a codomain. Complex functions are generally assumed to have a domain that contains a nonempty open subset of the complex plane.

  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 ...

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  9. Split-complex number - Wikipedia

    en.wikipedia.org/wiki/Split-complex_number

    A split-complex number is an ordered pair of real numbers, written in the form = + where x and y are real numbers and the hyperbolic unit [1] j satisfies = + In the field of complex numbers the imaginary unit i satisfies =