Intrinsic metric
Intrinsic metric If two objects are at a distance ... fails to be true for a general metric space. For example, taking the Earth's ... which satisfy the above property are called intrinsic. What follows next is the formal mathematical ... to describe it. Definition and discussion A metric space $(M,d)$ is ...
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Talk:Intrinsic
Talk:Intrinsic Intrinsic has a special meaning in Differential Geometry ... that is preserved by Isometries is called intrinsic. Equivalenty, the property depends on the metric alone. Example: Gauss Curvature is an intrinsic property. The straight-forward method of ...
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Acoustic metric
Acoustic metric In mathematical physics, a metric describes the arrangement of relative distances within ... through the region – essentially describing the intrinsic geometry of the region. An acoustic metric will describe the signal-carrying properties characteristic ... dynamics. Other descriptive names such as sonic metric are also sometimes used, interchangeably. Since " ...
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Metric (mathematics)
Metric (mathematics) In mathematics a metric or distance function is a function which ... of a set. A set with a metric is called a metric space. A metric induces a topology on a set ...
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Talk:Metric (mathematics)
Talk:Metric (mathematics) Split metric space into metric (mathematics) and metric space I split metric space into metric (mathematics) and metric ...
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Category:Metric geometry
Category:Metric geometry Metric geometry is a branch of geometry with metric space as the main object of study ... are 2 subcategories to this category. M Metric spaces R Riemannian geometry Pages in category "Metric geometry" There are 33 pages in ...
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Tensor (intrinsic definition)
Tensor (intrinsic definition) In mathematics, the modern component-free ... to multilinear algebra. In differential geometry an intrinsic geometric statement may be described by a ... V^* \otimes V^* called the associated metric and usually denoted g. Alternate notation Rather ...
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Glossary of Riemannian and metric geometry
Glossary of Riemannian and metric geometry This is a glossary of some terms used in Riemannian geometry and metric geometry — it doesn't cover the ... of the definitions given below. Connection Curvature Metric space Riemannian manifold See also: Glossary of ... otherwise, letters X, Y, Z below denote metric spaces, M, N denote Riemannian manifolds, |xy ... A caveat: many terms in Riemannian and metric geometry, such as convex function, convex ...
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Talk:Redshift/Archive 5
... redshifts [6], non-Cosmological redshifts [7], or intrinsic redshifts [8]. This section was removed as ... redshifts [16], non-Cosmological redshifts [17], or intrinsic redshifts [18]. Evidence in support of the ... Halton Arp said that redshifts have an intrinsic component, but does this criticism warrant an ... objects is dominated by a non-cosmological (intrinsic) component. Conventional cosmological models regard these as ... why he has concluded that there are intrinsic redshifts is necessary for context. But ...
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Ricci flow
... flow is a process which deforms the metric of a Riemannian manifold in a manner ... Mathematical definition Given a Riemannian manifold with metric tensor $g\_\{ab\}$, we can ... Riemann curvature tensor. If we consider the metric tensor (and the associated Ricci tensor) to ... tend to smooth out irregularities in the metric. Then, by placing an arbitrary metric g on a given smooth manifold ...
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