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Vor 4 Tagen · Rudolf Lipschitz (1832–1903), Mathematiker; Theodor Litt (1880–1962), Pädagoge; Berthold Litzmann (1857–1926), Germanist; Hugo Loersch (1840–1907), Rechtshistoriker; Georg Loeschcke (1852–1915), klassischer Archäologe; Otto Löwenstein (1889–1965), Begründer der Kinder- und Jugendpsychiatrie; Wolfgang Löwer (* 1946 ...
Vor 6 Tagen · In mathematical analysis, the Dirac delta function (or δ distribution ), also known as the unit impulse, [1] is a generalized function on the real numbers, whose value is zero everywhere except at zero, and whose integral over the entire real line is equal to one.
Vor 2 Tagen · In this talk we give an overview over results on the spectrum of Laplace and Dirac operators on complete manifolds. After a general introduction to the different types of spectra, we review several results on spectra for special behaviors of the manifolds at infinity.
Vor 2 Tagen · In mathematics, the mean value theorem (or Lagrange theorem) states, roughly, that for a given planar arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints. It is one of the most important results in real analysis.
Vor 6 Tagen · Subsequently, Rudolf Lipschitz in 1886 generalized Clifford's interpretation of the quaternions and applied them to the geometry of rotations in dimensions. Later these developments would lead other 20th-century mathematicians to formalize and explore the properties of the Clifford algebra.
Vor 3 Tagen · As we don't assume that $\xi$ is Lipschitz-continuous, the ODE $$ \frac{d}{dt}x(t)=\xi(x(t),t) $$ does not necessarily have a unique solution. Cellani nows talks about $T_t(x)$ as a random solution to the above ODE with starting condition $x$. Could somebody rigorously define to me what a random solution is?
Vor 3 Tagen · May 27, 2024. Abstract A special type of coarea inequality is proved for compositions of Lipschitz map- pings of Carnot groups with projections along horizontal vector fields. It is proved that the equality is achieved for mappings with finite codistortion and mappings on the Heisenberg group.
