• 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 (3,133 words) - 02:21, 9 February 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 (3,497 words) - 13:07, 25 September 2023
  • related to one another in a color matching context. Discovered by Hermann Grassmann these "laws" are actually principles used to predict color match responses...
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  • 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 (12,075 words) - 18:02, 19 April 2024
  • 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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  • k ( V ) {\displaystyle \mathbf {Gr} _{k}(V)} (named in honour of Hermann Grassmann) is a differentiable manifold that parameterizes the set of all k...
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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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  • 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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  • 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...
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  • 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...
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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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  • 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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  • 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 (2,660 words) - 16:13, 29 March 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 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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  • 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...
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  • 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) - 00:04, 8 April 2024
  • 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...
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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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  • 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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  • 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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  • Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl...
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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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  • aspects of the exterior algebra of differential forms appears in Hermann Grassmann's 1844 work, Die Lineale Ausdehnungslehre, ein neuer Zweig der Mathematik...
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  • 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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  • 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 Cross product
    physics education. In 1844, Hermann Grassmann published a geometric algebra not tied to dimension two or three. Grassmann developed several products,...
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  • have properties similar to the homogeneous coordinates of points, called Grassmann coordinates. Points in a real projective space Pn are defined to be lines...
    32 KB (4,838 words) - 22:45, 17 September 2023