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Lipschitz Maps
In mathematical analysis, Lipschitz continuity, named after German mathematician Rudolf Lipschitz, is a strong form of uniform continuity for functions. Intuitively, a Lipschitz continuous function is limited in how fast it can change: there exists a real number such that, for every pair of points on the graph of this function, the absolute value of the slope of the line connecting them is not greater than this real number; the smallest such bound is called the ''Lipschitz constant'' of the function (or '' modulus of uniform continuity''). For instance, every function that has bounded first derivatives is Lipschitz continuous. In the theory of differential equations, Lipschitz continuity is the central condition of the Picard–Lindelöf theorem which guarantees the existence and uniqueness of the solution to an initial value problem. A special type of Lipschitz continuity, called contraction, is used in the Banach fixed-point theorem. We have the following chain of strict in ...
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Lipschitz Visualisierung
Lipschitz, Lipshitz, or Lipchitz, is an Ashkenazi Jewish (Yiddish/German-Jewish) surname. The surname has many variants, including: Lifshitz (Lifschitz), Lifshits, Lifshuts, Lefschetz; Lipschitz, Lipshitz, Lipshits, Lopshits, Lipschutz ( Lipschütz), Lipshutz, Lüpschütz; Libschitz; Livshits; Lifszyc, Lipszyc. It is commonly Anglicized as Lipton, and less commonly as Lipington. There are several places in Europe from where the name may be derived. In all cases, ''Lip'' or ''Lib'' is derived from the Slavic root ''lipa'' (linden tree, see also Leipzig), and the ''itz'' ending is the Germanisation of the Slavic place name ending ''ice''. In the Czech Republic: * Libčice nad Vltavou (German: Libschitz an der Moldau) * Liběšice u Litoměřic (German: Liebeschitz bei Leitmeritz) * Liběšice u Žatce (German: Libeschitz bei Saaz) In Germany: *Gera-Liebschwitz * Liebschützberg-Liebschütz *Remptendorf-Liebschütz In Poland: *Głubczyce (Silesian German: Lischwitz, Germ ...
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