• Thumbnail for Region connection calculus
    The region connection calculus (RCC) is intended to serve for qualitative spatial representation and reasoning. RCC abstractly describes regions (in Euclidean...
    8 KB (813 words) - 00:48, 30 June 2024
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    approaches have been used to express spatial predicates; for example region connection calculus was introduced in 1992 by Randell, Cohn and Cohn. The spatial...
    39 KB (2,844 words) - 23:35, 10 May 2024
  • spatial-temporal reasoning, with constraint calculi such as the Region Connection Calculus (RCC). It provides the starting point for the theory of fiat boundaries...
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  • Red Carpet Club, former name of United Airlines airport lounges Region connection calculus, used for spatial-temporal reasoning Relaxed Chebyshev center...
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  • used in chemical synthesis Tangential proper part, a relation in region connection calculus Targeted projection pursuit, a statistical technique for data...
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  • called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus. The former concerns...
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  • Algebra's operators via ASCII art patterns. Temporal logic Logic Region connection calculus Spatial relation (analog) Commonsense reasoning Steven DeRose...
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  • Discrete calculus or the calculus of discrete functions, is the mathematical study of incremental change, in the same way that geometry is the study of...
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  • interval algebra is a simplification of reasoning about time and Region Connection Calculus is a simplification of reasoning about spatial relationships....
    86 KB (10,837 words) - 00:45, 16 November 2024
  • Thumbnail for Affine connection
    geometry and tensor calculus, but was not fully developed until the early 1920s, by Élie Cartan (as part of his general theory of connections) and Hermann Weyl...
    58 KB (7,683 words) - 14:11, 3 July 2024
  • Thumbnail for Integral
    Integral (redirect from Integral calculus)
    theorem of calculus by Leibniz and Newton. The theorem demonstrates a connection between integration and differentiation. This connection, combined with...
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  • A graphical representation of Region Connection Calculus (RCC: Randell, Cui and Cohn, 1992) and the links to the equivalent naming by the Open Geospatial...
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  • {\displaystyle df(x)=f'(x)dx} ). This allows expressing the fundamental theorem of calculus, the divergence theorem, Green's theorem, and Stokes' theorem as special...
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  • in its current form by Élie Cartan in 1899. The resulting calculus, known as exterior calculus, allows for a natural, metric-independent generalization...
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  • absolute differential calculus notion, which was later called tensor calculus, led to the isolation of the geometric concept of connection. An extension of...
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  • topological arguments. Curvature of Riemannian manifolds Scalar curvature Ricci calculus Ricci decomposition Ricci-flat manifold Christoffel symbols Introduction...
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  • The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and...
    56 KB (9,282 words) - 00:10, 14 November 2024
  • <n<\infty ,-\infty <k<\infty } However, this is only a special case. In tensor calculus, it is more common to number basis vectors in a particular dimension starting...
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  • direction calculus, Freksa's double cross calculus, Egenhofer and Franzosa's 4- and 9-intersection calculi, Ligozat's flip-flop calculus, various region connection...
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  • mathematics of general relativity Mathematics of general relativity Ricci calculus For the details, see Section 2.11, The Metric Tensor and the Classical...
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    ISBN 978-0-495-56521-5. Anton, Howard; Bivens, Irl C.; Davis, Stephen (2021). Calculus: Multivariable. John Wiley & Sons. p. 657. ISBN 978-1-119-77798-4. Moon...
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  • Thumbnail for Riemann sum
    Riemann sum (category Integral calculus)
    even if the fundamental theorem of calculus does not make it easy to find a closed-form solution. Because the region by the small shapes is usually not...
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  • propositional calculus have an equivalent expression in Boolean algebra. Thus, Boolean logic is sometimes used to denote propositional calculus performed...
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  • Variational principle – Scientific principles enabling the use of the calculus of variations Sharipov, R.A. (1996). Course of Differential Geometry, Ufa:Bashkir...
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    manifolds are differentiable manifolds; their differentiable structure allows calculus to be done. A Riemannian metric on a manifold allows distances and angles...
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  • Thumbnail for Polar coordinate system
    George Peacock's 1816 translation of Lacroix's Differential and Integral Calculus. Alexis Clairaut was the first to think of polar coordinates in three dimensions...
    49 KB (6,707 words) - 14:14, 18 November 2024
  • Thumbnail for Divergence
    Divergence (category Linear operators in calculus)
    In vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the quantity of the vector field's...
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  • writing definitions for existing ones. This glossary of calculus is a list of definitions about calculus, its sub-disciplines, and related fields. Contents: ...
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  • Thumbnail for Tensor
    Elwin Bruno Christoffel, and others – as part of the absolute differential calculus. The concept enabled an alternative formulation of the intrinsic differential...
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  • (one-)form. Differential form – Expression that may be integrated over a region Inner product – Generalization of the dot product; used to define Hilbert...
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