Lipschitz continuity Lipschitz integral condition Lipschitz quaternion
Scientific career
Fields
Mathematics
Institutions
University of Bonn
Doctoral advisor
Gustav Dirichlet Martin Ohm
Doctoral students
Felix 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.
Rudolf Otto Sigismund Lipschitz (14 May 1832 – 7 October 1903) was a German mathematician who made contributions to mathematical analysis (where he gave...
In mathematical analysis, Lipschitz continuity, named after German mathematician RudolfLipschitz, is a strong form of uniform continuity for functions...
describe a function that satisfies the Lipschitz condition, a strong form of continuity, named after RudolfLipschitz. The surname may refer to: Daniel Lipšic...
locally being the graph of a Lipschitz continuous function. The term is named after the German mathematician RudolfLipschitz. Let n ∈ N {\displaystyle n\in...
converges at a given point. These tests are named after Ulisse Dini and RudolfLipschitz. Let f be a function on [0,2π], let t be some point and let δ be a...
periodicity. The class of Lipschitz groups (a.k.a. Clifford groups or Clifford–Lipschitz groups) was discovered by RudolfLipschitz. In this section we assume...
German mathematicians, as Gotthold Eisenstein, Leopold Kronecker, RudolfLipschitz and Carl Wilhelm Borchardt, while being influential in the mathematical...
{\displaystyle \alpha } . Suppose α {\displaystyle \alpha } satisfies some local Lipschitz condition, i.e., for t ≥ 0 {\displaystyle t\geq 0} and some compact set...
Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta RudolfLipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...
Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta RudolfLipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...
Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta RudolfLipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...
Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta RudolfLipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...
{\displaystyle y} has a bounded second derivative and f {\displaystyle f} is Lipschitz continuous in its second argument, then the global truncation error (denoted...
Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta RudolfLipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...
Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta RudolfLipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...
Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta RudolfLipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...
Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta RudolfLipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...
Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta RudolfLipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...
Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta RudolfLipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...
they will be non-Lipschitz functions at their ending time, they are not included in the uniqueness theorem of solutions of Lipschitz differential equations...
Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta RudolfLipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...
small enough such that a , c {\displaystyle \mathbf {a} ,c} are locally Lipschitz. By continuity, ( X ( s ) , U ( s ) ) {\displaystyle (\mathbf {X} (s)...
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 ) )...
Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta RudolfLipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...
Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta RudolfLipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...
Augustin-Louis Cauchy George Green Carl David Tolmé Runge Martin Kutta RudolfLipschitz Ernst Lindelöf Émile Picard Phyllis Nicolson John Crank v t e...
realized the quaternions as living within that algebra. Subsequently, RudolfLipschitz in 1886 generalized Clifford's interpretation of the quaternions and...