• Thumbnail for Hermann Grassmann
    Hermann Günther Grassmann (German: Graßmann, pronounced [ˈhɛɐman ˈɡʏntʰɐ ˈɡʁasman]; 15 April 1809 – 26 September 1877) was a German polymath known in...
    28 KB (3,197 words) - 06:25, 1 August 2024
  • Thumbnail for Exterior algebra
    v} in V . {\displaystyle V.} The exterior algebra is named after Hermann Grassmann, and the names of the product come from the "wedge" symbol ∧ {\displaystyle...
    76 KB (12,094 words) - 12:20, 12 July 2024
  • In mathematical physics, a Grassmann number, named after Hermann Grassmann (also called an anticommuting number or supernumber), is an element of the...
    22 KB (3,855 words) - 14:49, 4 August 2024
  • k ( V ) {\displaystyle \mathbf {Gr} _{k}(V)} (named in honour of Hermann Grassmann) is a differentiable manifold that parameterizes the set of all k...
    48 KB (8,384 words) - 03:42, 31 July 2024
  • related to one another in a color matching context. Discovered by Hermann Grassmann these "laws" are actually principles used to predict color match responses...
    6 KB (602 words) - 22:07, 23 September 2023
  • Thumbnail for Grassmann's law
    IPA § Brackets and transcription delimiters. Grassmann's law, named after its discoverer Hermann Grassmann, is a dissimilatory phonological process in...
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  • space). The image of that embedding is the Klein quadric in RP5. Hermann Grassmann generalized Plücker's embedding to arbitrary k and n. The homogeneous...
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  • Göring, leading member of the NSDAP Hermann Grassmann (1809–1877), German linguist and mathematician Hermann Gundert, a German missionary who compiled the...
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  • Graßmann (1920–1991), German Luftwaffe pilot Hans Grassmann (born 1960), German physicist Hermann Grassmann (1809–1877), German linguist, physicist, and mathematician...
    896 bytes (137 words) - 15:19, 10 November 2023
  • concepts and applications involve single vectors, mathematicians such as Hermann Grassmann considered structures involving pairs, triplets, and multivectors...
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  • formalizing arithmetic was not well appreciated until the work of Hermann Grassmann, who showed in the 1860s that many facts in arithmetic could be derived...
    48 KB (6,428 words) - 19:03, 27 June 2024
  • coordinate-free way. The technique is based on work by German mathematician Hermann Grassmann on exterior algebra, and subsequently by British mathematician Arthur...
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  • polymath Hermann Grassmann: Grassmann's laws Grassmann algebra Grassmann bundle Grassmann dimensions Grassmann graph Grassmann integral Grassmann number...
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  • Thumbnail for Color space
    points in color space. The color-space concept was likely due to Hermann Grassmann, who developed it in two stages. First, he developed the idea of vector...
    22 KB (2,683 words) - 00:15, 7 July 2024
  • Thumbnail for Hermann Hankel
    that Hermann Grassmann had developed in his Extension Theory in two publications. This was the first of many references later made to Grassmann's early...
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  • Berezin, (also known as Grassmann integral, after Hermann Grassmann), is a way to define integration for functions of Grassmann variables (elements of...
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  • Thumbnail for Rigveda
    khila hymns have sanctified roles in rituals from ancient times). Hermann Grassmann had numbered the hymns 1 through to 1028, putting the vālakhilya at...
    116 KB (12,689 words) - 23:32, 28 July 2024
  • Thumbnail for Basis (linear algebra)
    père et fils Grassmann, Hermann (1844), Die Lineale Ausdehnungslehre - Ein neuer Zweig der Mathematik (in German), reprint: Hermann Grassmann. Translated...
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  • Thumbnail for William Kingdon Clifford
    a British mathematician and philosopher. Building on the work of Hermann Grassmann, he introduced what is now termed geometric algebra, a special case...
    37 KB (4,223 words) - 14:32, 30 July 2024
  • Univalent foundations are inspired both by the old Platonic ideas of Hermann Grassmann and Georg Cantor and by "categorical" mathematics in the style of...
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  • Thumbnail for Transpose
    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl...
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  • Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl...
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  • Thumbnail for Ampère's force law
    including Wilhelm Weber, Rudolf Clausius, Maxwell, Bernhard Riemann, Hermann Grassmann, and Walther Ritz, developed this expression to find a fundamental...
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  • dimensions. The geometric product was first briefly mentioned by Hermann Grassmann, who was chiefly interested in developing the closely related exterior...
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  • Thumbnail for Tensor
    tensors, and the Riemann curvature tensor. The exterior algebra of Hermann Grassmann, from the middle of the nineteenth century, is itself a tensor theory...
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  • In graph theory, Grassmann graphs are a special class of simple graphs defined from systems of subspaces. The vertices of the Grassmann graph Jq(n, k) are...
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  • Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl...
    13 KB (1,906 words) - 17:49, 5 July 2024
  • Thumbnail for Linear algebra
    which was initially listed as an advancement in geodesy. In 1844 Hermann Grassmann published his "Theory of Extension" which included foundational new...
    64 KB (7,778 words) - 23:46, 27 July 2024
  • Thumbnail for Vector notation
    with vectors in the same publication. Vector ideas were advanced by Hermann Grassmann in 1841, and again in 1862 in the German language. But German mathematicians...
    22 KB (2,979 words) - 14:51, 9 June 2024
  • Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl...
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