• Thumbnail for Eugenio Beltrami
    Eugenio Beltrami (16 November 1835 – 18 February 1900) was an Italian mathematician notable for his work concerning differential geometry and mathematical...
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  • Thumbnail for Beltrami–Klein model
    endpoints on the boundary sphere. The Beltrami–Klein model is named after the Italian geometer Eugenio Beltrami and the German Felix Klein while "Cayley"...
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  • pseudo-Riemannian manifolds. It is named after Pierre-Simon Laplace and Eugenio Beltrami. For any twice-differentiable real-valued function f defined on Euclidean...
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  • The Beltrami identity, named after Eugenio Beltrami, is a special case of the Euler–Lagrange equation in the calculus of variations. The Euler–Lagrange...
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  • which is a surface of curvature 1/R2. The term was introduced by Eugenio Beltrami in his 1868 paper on models of hyperbolic geometry. The same surface...
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  • Thumbnail for Poincaré disk model
    Klein model and the Poincaré half-space model, it was proposed by Eugenio Beltrami who used these models to show that hyperbolic geometry was equiconsistent...
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  • can have chaotic trajectories. It is named after Vladimir Arnold, Eugenio Beltrami, and Stephen Childress. Ippolit S. Gromeka's (1881) name has been historically...
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  • Thumbnail for Tractrix
    surface of revolution about its asymptote: the pseudosphere. Studied by Eugenio Beltrami in 1868, as a surface of constant negative Gaussian curvature, the...
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  • In other words, Beltrami flow is a flow in which the Lamb vector is zero. It is named after the Italian mathematician Eugenio Beltrami due to his derivation...
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  • In mathematics, the Beltrami equation, named after Eugenio Beltrami, is the partial differential equation ∂ w ∂ z ¯ = μ ∂ w ∂ z . {\displaystyle {\partial...
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  • Eugenio Beltrami, Italian mathematician Eugenio Berríos, Chilean biochemist Eugenio Calabi (1923–2023), Jewish Italian American mathematician Eugenio...
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  • Thumbnail for Hyperbolic geometry
    Bolyai discovered it independently and published in 1832. In 1868, Eugenio Beltrami provided models (see below) of hyperbolic geometry, and used this to...
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  • Beltrami vector field, named after Eugenio Beltrami, is a vector field in three dimensions that is parallel to its own curl. That is, F is a Beltrami...
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  • Thumbnail for Poincaré half-plane model
    half-plane model is named after Henri Poincaré, but it originated with Eugenio Beltrami who used it, along with the Klein model and the Poincaré disk model...
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  • hyperbolic geometry?". The model for hyperbolic geometry was answered by Eugenio Beltrami, in 1868, who first showed that a surface called the pseudosphere has...
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  • Beltrami is an Italian surname. Notable people with the surname include: Eugenio Beltrami (1835-1900), Italian mathematician Filippo Beltrami (1908–1944)...
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  • Thumbnail for Singular value decomposition
    independent orthogonal transformations of the two spaces it acts on. Eugenio Beltrami and Camille Jordan discovered independently, in 1873 and 1874 respectively...
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  • Thumbnail for University of Pavia
    physicist Carlo Rubbia. In addition, distinguished mathematicians Eugenio Beltrami, Felice Casorati and Luigi Berzolari were regular teachers in Pavia...
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  • Thumbnail for Differential geometry
    paradigm. Concrete models of hyperbolic geometry were produced by Eugenio Beltrami later in the 1860s, and Felix Klein coined the term non-Euclidean geometry...
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  • Thumbnail for Gregorio Ricci-Curbastro
    various travels he was a student of the mathematicians Enrico Betti, Eugenio Beltrami, Ulisse Dini and Felix Klein. In 1877 Ricci-Curbastro obtained a scholarship...
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  • certain class of paths known as geodesics. Beltrami's theorem, named for Italian mathematician Eugenio Beltrami, is a result on the inverse problem of determining...
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  • Thumbnail for Space (mathematics)
    the sum depends on the triangle and is always less than 180 degrees. Eugenio Beltrami in 1868 and Felix Klein in 1871 obtained Euclidean "models" of the...
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  • Thumbnail for Differential geometry of surfaces
    pseudosphere generated by rotating a tractrix around a central axis. In 1868 Eugenio Beltrami showed that the geometry of the pseudosphere was directly related to...
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  • Thumbnail for Parallel postulate
    parallel postulate from Euclid's other axioms was finally demonstrated by Eugenio Beltrami in 1868. Euclid did not postulate the converse of his fifth postulate...
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  • Thumbnail for Giovanni Girolamo Saccheri
    of Every Flaw) languished in obscurity until it was rediscovered by Eugenio Beltrami, in the mid-19th century. The intent of Saccheri's work was ostensibly...
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  • strong implications about the distribution of prime numbers. 1868 – Eugenio Beltrami demonstrates independence of Euclid’s parallel postulate from the other...
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  • Thumbnail for Francesco Brioschi
    teacher: among his students at the University of Pavia, there were Eugenio Beltrami, Luigi Cremona and Felice Casorati. Intorno ad alcuni punti della statica...
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  • scientist Egon Börger Engineer Corradino D'Ascanio Mathematicians Eugenio Beltrami Enrico Bombieri Giovanni Alfonso Borelli Sergio Campanato Benedetto...
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  • Thumbnail for Ron Kimmel
    geometric framework for image filtering (named Beltrami flow after the Italian mathematician Eugenio Beltrami), and the Generalized Multidimensional Scaling...
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  • Thumbnail for Cremona
    Pallavera (1818–1886), painter Amilcare Ponchielli (1834–1886), composer. Eugenio Beltrami (1835–1900), mathematician Arcangelo Ghisleri (1855–1938), an Italian...
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