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Что (кто) такое Geodesical - определение

Найдено результатов: 21

Geodesical

·adj Of or pertaining to geodesy; geodetic.

geodesic

STRAIGHT PATH ON A CURVED SURFACE OR A RIEMANNIAN MANIFOLD

Geodesic flow; Geodesics; Geodesic equation; Geodesic spray; Geodesic Spray; Straightness; Affine parameter; Geodesic path; Geodesic triangle; Geodesic Triangle; Geodesic length

[?d?i:?(?)'d?s?k, -'di:s?k]

¦ adjective

1. relating to or denoting the shortest possible line between two points on a sphere or other curved surface.

2. (of a dome) constructed from struts which follow geodesic lines and form an open framework of triangles and polygons.

3. another term for geodetic.

Geodesic

STRAIGHT PATH ON A CURVED SURFACE OR A RIEMANNIAN MANIFOLD

Geodesic flow; Geodesics; Geodesic equation; Geodesic spray; Geodesic Spray; Straightness; Affine parameter; Geodesic path; Geodesic triangle; Geodesic Triangle; Geodesic length

·noun A geodetic line or curve.

II. Geodesic ·adj ·Alt. of Geodesical.

Geodesic curvature

In Riemannian geometry, the geodesic curvature k_g of a curve \gamma measures how far the curve is from being a geodesic. For example, for 1D curves on a 2D surface embedded in 3D space, it is the curvature of the curve projected onto the surface's tangent plane.

https://en.wikipedia.org/wiki/Geodesic_curvature

Schwarzschild geodesics

$The stable and unstable radii are plotted versus the normalized angular momentum <math display="inline">\frac{a}{r_\text{s}} = \frac{L}{mcr_\text{s}}</math> in blue and red, respectively. These curves meet at a unique circular orbit (green circle) when the normalized angular momentum equals the square root of three. For comparison, the classical radius predicted from the [[centripetal acceleration]] and Newton's law of gravity is plotted in black.$
$Effective radial potential for various angular momenta. At small radii, the energy drops precipitously, causing the particle to be pulled inexorably inwards to <math display="inline">r = 0</math>. However, when the normalized angular momentum <math display="inline">\frac{a}{r_\text{s}} = \frac{L}{mcr_\text{s}}</math> equals the square root of three, a metastable circular orbit is possible at the radius highlighted with a green circle. At higher angular momenta, there is a significant centrifugal barrier (orange curve) and an unstable inner radius, highlighted in red.$

In general relativity, Schwarzschild geodesics describe the motion of test particles in the gravitational field of a central fixed mass M, that is, motion in the Schwarzschild metric. Schwarzschild geodesics have been pivotal in the validation of Einstein's theory of general relativity.

https://en.wikipedia.org/wiki/Schwarzschild_geodesics

Geodesic convexity

NATURAL GENERALIZATION OF CONVEXITY FOR SETS AND FUNCTIONS TO RIEMANNIAN MANIFOLDS

Geodesic convex; Geodesically convex

In mathematics — specifically, in Riemannian geometry — geodesic convexity is a natural generalization of convexity for sets and functions to Riemannian manifolds. It is common to drop the prefix "geodesic" and refer simply to "convexity" of a set or function.

https://en.wikipedia.org/wiki/Geodesic_convexity

Geodesic polyarene

A geodesic polyarene in organic chemistry is a polycyclic aromatic hydrocarbon with curved [ or concave] surfaces.Geodesic polyarenes with exposed concave surfaces Lawrence T.

https://en.wikipedia.org/wiki/Geodesic_polyarene

Geodesic map

DIFFEOMORPHISM THAT PRESERVES GEODESICS

Geodesic function; Geodesic mapping; Geodesic diffeomorphism; Geodesic Mapping

In mathematics—specifically, in differential geometry—a geodesic map (or geodesic mapping or geodesic diffeomorphism) is a function that "preserves geodesics". More precisely, given two (pseudo-)Riemannian manifolds (M, g) and (N, h), a function φ : M → N is said to be a geodesic map if

https://en.wikipedia.org/wiki/Geodesic_map

Geodesic deviation

In general relativity, put another way, if two objects are set in motion along two initially parallel trajectories, the presence of a tidal gravitational force will cause the trajectories to bend towards or away from each other, producing a relative acceleration between the objects.

https://en.wikipedia.org/wiki/Geodesic_deviation

Geodesic dome

SPHERICAL SHELL STRUCTURE BASED ON A GEODESIC POLYHEDRON

Geodesic structures; Triangular element; Geodesic domes; Buckminster Fuller dome; Geodome; Geodisic dome; Geodesic Dome; Geodesic ball; Geodesic dome home; Dome Home; Dome home

A geodesic dome is a hemispherical thin-shell structure (lattice-shell) based on a geodesic polyhedron. The triangular elements of the dome are structurally rigid and distribute the structural stress throughout the structure, making geodesic domes able to withstand very heavy loads for their size.

https://en.wikipedia.org/wiki/Geodesic_dome