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  2. Grey relational analysis - Wikipedia

    en.wikipedia.org/wiki/Grey_relational_analysis

    A grey system means that a system in which part of information is known and part of information is unknown. Formally, grey systems theory describes uncertainty by interval-valued unknowns called grey numbers , with the width of the interval reflecting more or less precise knowledge. [ 3 ]

  3. Schwarz lemma - Wikipedia

    en.wikipedia.org/wiki/Schwarz_lemma

    In mathematics, the Schwarz lemma, named after Hermann Amandus Schwarz, is a result in complex analysis about holomorphic functions from the open unit disk to itself. The lemma is less celebrated than deeper theorems, such as the Riemann mapping theorem, which it helps to prove.

  4. Wirtinger derivatives - Wikipedia

    en.wikipedia.org/wiki/Wirtinger_derivatives

    In complex analysis of one and several complex variables, Wirtinger derivatives (sometimes also called Wirtinger operators [1]), named after Wilhelm Wirtinger who introduced them in 1927 in the course of his studies on the theory of functions of several complex variables, are partial differential operators of the first order which behave in a very similar manner to the ordinary derivatives ...

  5. Rademacher system - Wikipedia

    en.wikipedia.org/wiki/Rademacher_system

    In mathematics, in particular in functional analysis, the Rademacher system, named after Hans Rademacher, is an incomplete orthogonal system of functions on the unit interval of the following form: { t ↦ r n ( t ) = sgn ⁡ ( sin ⁡ 2 n + 1 π t ) ; t ∈ [ 0 , 1 ] , n ∈ N } . {\displaystyle \{t\mapsto r_{n}(t)=\operatorname {sgn} \left ...

  6. Schwarz integral formula - Wikipedia

    en.wikipedia.org/wiki/Schwarz_integral_formula

    In complex analysis, a branch of mathematics, the Schwarz integral formula, named after Hermann Schwarz, allows one to recover a holomorphic function, up to an imaginary constant, from the boundary values of its real part.

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  8. Nevanlinna theory - Wikipedia

    en.wikipedia.org/wiki/Nevanlinna_theory

    Nevanlinna theory is useful in all questions where transcendental meromorphic functions arise, like analytic theory of differential and functional equations [6] [7] holomorphic dynamics, minimal surfaces, and complex hyperbolic geometry, which deals with generalizations of Picard's theorem to higher dimensions.

  9. Schwarz reflection principle - Wikipedia

    en.wikipedia.org/wiki/Schwarz_reflection_principle

    In mathematics, the Schwarz reflection principle is a way to extend the domain of definition of a complex analytic function, i.e., it is a form of analytic continuation.It states that if an analytic function is defined on the upper half-plane, and has well-defined (non-singular) real values on the real axis, then it can be extended to the conjugate function on the lower half-plane.