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  2. Complex number - Wikipedia

    en.wikipedia.org/wiki/Complex_number

    A complex number is an expression of the form a + bi, where a and b are real numbers, and i is an abstract symbol, the so-called imaginary unit, whose meaning will be explained further below. For example, 2 + 3i is a complex number. [3]

  3. Complexity - Wikipedia

    en.wikipedia.org/wiki/Complexity

    The study of these complex linkages at various scales is the main goal of complex systems theory. The intuitive criterion of complexity can be formulated as follows: a system would be more complex if more parts could be distinguished, and if more connections between them existed. [3]

  4. Complex conjugate - Wikipedia

    en.wikipedia.org/wiki/Complex_conjugate

    Geometric representation (Argand diagram) of and its conjugate ¯ in the complex plane.The complex conjugate is found by reflecting across the real axis.. In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.

  5. Complex - Wikipedia

    en.wikipedia.org/wiki/Complex

    Complex commonly refers to: Complexity , the behaviour of a system whose components interact in multiple ways so possible interactions are difficult to describe Complex system , a system composed of many components which may interact with each other

  6. Function of several complex variables - Wikipedia

    en.wikipedia.org/wiki/Function_of_several...

    Many examples of such functions were familiar in nineteenth-century mathematics; abelian functions, theta functions, and some hypergeometric series, and also, as an example of an inverse problem; the Jacobi inversion problem. [7] Naturally also same function of one variable that depends on some complex parameter is a candidate.

  7. List of types of functions - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_functions

    Holomorphic function: complex-valued function of a complex variable which is differentiable at every point in its domain. Meromorphic function: complex-valued function that is holomorphic everywhere, apart from at isolated points where there are poles. Entire function: A holomorphic function whose domain is the entire complex plane.

  8. Complex geometry - Wikipedia

    en.wikipedia.org/wiki/Complex_geometry

    In mathematics, complex geometry is the study of geometric structures and constructions arising out of, or described by, the complex numbers.In particular, complex geometry is concerned with the study of spaces such as complex manifolds and complex algebraic varieties, functions of several complex variables, and holomorphic constructions such as holomorphic vector bundles and coherent sheaves.

  9. Simplicial complex - Wikipedia

    en.wikipedia.org/wiki/Simplicial_complex

    An example of a non-homogeneous complex is a triangle with a line segment attached to one of its vertices. Pure simplicial complexes can be thought of as triangulations and provide a definition of polytopes .

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