geometry. Curved spaces can generally be described by Riemannian geometry, though some simple cases can be described in other ways. Curved spaces play an...
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In mathematical analysis, a space-filling curve is a curve whose range reaches every point in a higher dimensional region, typically the unit square (or...
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Curvature (redirect from Curvature (space curve))
embedding space, it is not necessary that a surface be embedded in a higher-dimensional space in order to be curved. Such an intrinsically curved two-dimensional...
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General relativity (redirect from Curved space-time)
formula, too, is readily generalized to curved spacetime by replacing partial derivatives with their curved-manifold counterparts, covariant derivatives...
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mathematics, a curve (also called a curved line in older texts) is an object similar to a line, but that does not have to be straight. Intuitively, a curve may be...
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Spacetime (redirect from Space-time interval)
Newtonian gravitation is a theory of curved time. General relativity is a theory of curved time and curved space. Given G as the gravitational constant...
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geometry, the Peano curve is the first example of a space-filling curve to be discovered, by Giuseppe Peano in 1890. Peano's curve is a surjective, continuous...
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quantum field theory in curved spacetime (QFTCS) is an extension of quantum field theory from Minkowski spacetime to a general curved spacetime. This theory...
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Sphereland: A Fantasy About Curved Spaces and an Expanding Universe is a 1965 translation of Bolland : een roman van gekromde ruimten en uitdijend heelal...
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The Hilbert curve (also known as the Hilbert space-filling curve) is a continuous fractal space-filling curve first described by the German mathematician...
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Stress–strain curve Space-filling curve Contract curve Cost curve Demand curve Aggregate demand curve Compensated demand curve Engel curve Hubbert curve Indifference...
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geometry is used as a model of physical space, it is known as curved space. Even in curved space, Minkowski space is still a good description in an infinitesimal...
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four-dimensional flat Minkowski space, and not curved space nor GR. It is possible to formulate quantum field theory in curved spacetime, yet even this still...
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which space is conceived as curved, rather than flat, as in the Euclidean space. According to Albert Einstein's theory of general relativity, space around...
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caused by spacetime being curved ("distorted"). It is a common misconception to attribute gravity to curved space; neither space nor time has an absolute...
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up to less than 180°; such 3-dimensional space is locally modeled by a region of a hyperbolic space H3. Curved geometries are in the domain of non-Euclidean...
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The curved space diamond structure is a patented modular building system representative of a diamond crystal enlarged 8 billion times. These playground...
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the Dirac equation in curved spacetime is a generalization of the Dirac equation from flat spacetime (Minkowski space) to curved spacetime, a general Lorentzian...
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two-dimensional spaces are often called planes, or, more generally, surfaces. These include analogs to physical spaces, like flat planes, and curved surfaces...
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solve this problem by transforming the time-sliced flat-space path integral to curved space using a multivalued coordinate transformation (nonholonomic...
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three-dimensional Euclidean space, which is flat. However, in mathematics Newton's laws of motion can be generalized to multidimensional and curved spaces. Often the term...
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De Broglie–Bohm theory (section Curved space)
For a de Broglie–Bohm theory on curved space with spin, the spin space becomes a vector bundle over configuration space, and the potential in Schrödinger's...
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Euclidean space is the fundamental space of geometry, intended to represent physical space. Originally, in Euclid's Elements, it was the three-dimensional...
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that their equations of motion will take the same form in curved space that they do in flat space. A physical law expressed in a generally covariant fashion...
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Riemann curvature tensor (redirect from Riemannian space-time)
}=g_{\rho \zeta }R^{\zeta }{}_{\sigma \mu \nu }.} One can see the effects of curved space by comparing a tennis court and the Earth. Start at the lower right corner...
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theoretical physicist Walter Gordon in 1923 to study the geometrical optics in curved space-time filled with moving dielectric materials. Let ua be the normalized...
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Relativistic energy and momentum Space-time Curved space Chapters: The Theory of Gravitation (Vol. I, Chapter 7) Curved Space (Vol. II, Chapter 42) Electromagnetism...
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accelerated along a curved path. de Sitter precession, a general-relativistic correction accounting for the Schwarzschild metric of curved space near a large...
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together, the curvature and the torsion of a space curve are analogous to the curvature of a plane curve. For example, they are coefficients in the system...
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inertial, but globally non-inertial. Due to the non-Euclidean geometry of curved space-time, there are no global inertial reference frames in general relativity...
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