Übersetzung für 'metric tensor' von Englisch nach Deutsch

metric tensor

Maßtensor {m}math.

Metriktensor {m}math.

metrischer Tensor {m}math.

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four-tensor <4-tensor>

Vierertensor {m}math.phys.

metric {adj}

metrisch

Riemannian metric

riemannsche Metrik {f}math.

Riemann metric

Riemann-Metrik {f} [auch: Riemannmetrik]math.

metric horsepower

metrische Pferdestärke {f}

metric [function]

Metrik {f} [Funktion]math.

socio-metric {adj}

soziometrisch

Kähler metric

Kählermetrik {f}math.

Euclidean metric

euklidische Metrik {f}math.

metric prefix

SI-Präfix {n}unit

metric tons

metrische Tonnen {pl}unit

software metric

Softwaremetrik {f}comp.

Kerr metric

Kerr-Metrik {f}math.phys.

metric system

metrisches Maßsystem {n}

metrisches System {n}

Wasserstein metric

Wasserstein-Distanz {f}math.

Wasserstein-Metrik {f} [auch: Wassersteinmetrik]math.

metric screw

metrische Schraube {f}tech.

metric space

metrischer Raum {m}math.

metric machine screw

Maschinenschraube {f} [metrische Schraube]tech.

• Following are two common choices for the metric tensor in the standard basis (essentially Cartesian coordinates).
• While the notion of a metric tensor was known in some sense to mathematicians such as Gauss from the early 19th century, it was not until the early 20th century that its properties as a tensor were understood by, in particular, Gregorio Ricci-Curbastro and Tullio Levi-Civita, who first codified the notion of a tensor.
• equipped with a non-degenerate symmetric bilinear form known as the metric tensor.
• The family "g'p" of inner products is called a Riemannian metric (or Riemannian metric tensor). Riemannian geometry is the study of Riemannian manifolds.
• To calculate the changes in frequency in a nearly static gravitational field, only the time component of the metric tensor is important, and the lowest order approximation is accurate enough for ordinary stars and planets, which are much bigger than their Schwarzschild radius.

• Pseudo-Riemannian geometry generalizes Riemannian geometry to the case in which the metric tensor need not be positive-definite.
• One consequence of this hypothesis is that if it holds true, we can introduce a comoving chart such that the metric tensor contains no terms of form dt dx, dt dy, or dt dz.
• Physically, these describe different universes in which all the same events and interactions are still (causally) possible, but a new additional force is necessary to effect this (that is, replication of all the same trajectories would necessitate departures from geodesic motion because the metric tensor is different).
• This structure simply means that the tangent space at each point has an inner product (more generally, a symmetric nondegenerate form) and an orientation, or more globally that there is a symmetric nondegenerate metric tensor and an orientation, and works because vector calculus is defined in terms of tangent vectors at each point.
• is the inverse of the metric tensor [...] on the Riemannian manifold.

• The metric tensor in the spherical coordinate system is [...].
• Some authors use [...] , with factors of "c" elsewhere to compensate; for instance, spatial coordinates are divided by "c" or factors of "c"±2 are included in the metric tensor.
• If the metric tensor [...] has been used in a derivation, go back to the earliest point where it was used, substitute [...] for [...] , and retrace forward to the desired formula with the desired metric signature.