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Rudolf Lipschitz information


Rudolf Lipschitz
Rudolf Lipschitz
Born(1832-05-14)14 May 1832
Königsberg, Province of Prussia
Died7 October 1903(1903-10-07) (aged 71)
Bonn, German Empire
NationalityGerman
Alma materUniversity of Königsberg
Known forLipschitz continuity
Lipschitz integral condition
Lipschitz quaternion
Scientific career
FieldsMathematics
InstitutionsUniversity of Bonn
Doctoral advisorGustav Dirichlet
Martin Ohm
Doctoral studentsFelix Klein

Rudolf Otto Sigismund Lipschitz (14 May 1832 – 7 October 1903) was a German mathematician who made contributions to mathematical analysis (where he gave his name to the Lipschitz continuity condition) and differential geometry, as well as number theory, algebras with involution and classical mechanics.

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Rudolf Lipschitz

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Rudolf Otto Sigismund Lipschitz (14 May 1832 – 7 October 1903) was a German mathematician who made contributions to mathematical analysis (where he gave...

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Lipschitz continuity

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In mathematical analysis, Lipschitz continuity, named after German mathematician Rudolf Lipschitz, is a strong form of uniform continuity for functions...

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Lipschitz

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describe a function that satisfies the Lipschitz condition, a strong form of continuity, named after Rudolf Lipschitz. The surname may refer to: Daniel Lipšic...

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Lipschitz domain

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locally being the graph of a Lipschitz continuous function. The term is named after the German mathematician Rudolf Lipschitz. Let n ∈ N {\displaystyle n\in...

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Dini test

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converges at a given point. These tests are named after Ulisse Dini and Rudolf Lipschitz. Let f be a function on [0,2π], let t be some point and let δ be a...

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Clifford algebra

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periodicity. The class of Lipschitz groups (a.k.a. Clifford groups or Clifford–Lipschitz groups) was discovered by Rudolf Lipschitz. In this section we assume...

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Peter Gustav Lejeune Dirichlet

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German mathematicians, as Gotthold Eisenstein, Leopold Kronecker, Rudolf Lipschitz and Carl Wilhelm Borchardt, while being influential in the mathematical...

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Stochastic differential equation

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{\displaystyle \alpha } . Suppose α {\displaystyle \alpha } satisfies some local Lipschitz condition, i.e., for t ≥ 0 {\displaystyle t\geq 0} and some compact set...

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Dirichlet boundary condition

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Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta Rudolf Lipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...

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Bernoulli differential equation

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Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta Rudolf Lipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...

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Partial differential equation

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Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta Rudolf Lipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...

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Differential equation

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Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta Rudolf Lipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...

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Euler method

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{\displaystyle y} has a bounded second derivative and f {\displaystyle f} is Lipschitz continuous in its second argument, then the global truncation error (denoted...

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Homogeneous differential equation

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Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta Rudolf Lipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...

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Finite element method

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Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta Rudolf Lipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...

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Phase space

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Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta Rudolf Lipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...

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Wronskian

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Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta Rudolf Lipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...

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Robin boundary condition

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Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta Rudolf Lipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...

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Galerkin method

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Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta Rudolf Lipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...

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Ordinary differential equation

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they will be non-Lipschitz functions at their ending time, they are not included in the uniqueness theorem of solutions of Lipschitz differential equations...

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Numerical integration

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Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta Rudolf Lipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...

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Method of characteristics

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small enough such that a , c {\displaystyle \mathbf {a} ,c} are locally Lipschitz. By continuity, ( X ( s ) , U ( s ) ) {\displaystyle (\mathbf {X} (s)...

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Dirac delta function

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one-variable case, it is possible to define the composition of δ with a bi-Lipschitz function g: Rn → Rn uniquely so that the identity ∫ R n δ ( g ( x ) )...

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Cauchy problem

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Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta Rudolf Lipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...

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Boundary value problem

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Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta Rudolf Lipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...

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Integrating factor

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Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta Rudolf Lipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...

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Geometric algebra

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realized the quaternions as living within that algebra. Subsequently, Rudolf Lipschitz in 1886 generalized Clifford's interpretation of the quaternions and...

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