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词汇 metric-tensor
释义 BETA

metric tensor

collocation in English

meanings of metricand tensor


These words are often used together. Click on the links below to explore the meanings.
metric
noun[ C ]
uk /ˈmet.rɪk/ us /ˈmet.rɪk/
a system for ...
See more at metric
tensor
noun[ C ]
uk /ˈten.sər/ us /ˈten.sɚ/
a muscle that tightens or stretches part of ...
See more at tensor


Examples of metric tensor


metric tensor
Because of this, if an appropriate coordinate system is chosen, one of the coordinates is ignorable for the physical magnitudes and for the metrictensor.
In either case, the chosen geometry is specified by its corresponding metrictensor.
Upon solving this differential equation implicitly using known magnetic field intensities, the metrictensor for the resulting basis can be computed.
Coordinate systems, in general, are characterized by their metrictensor.
The signs in the following tensor analysis depend on the convention used for the metrictensor.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
A metrictensor describes a geometry of spacetime.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
Every tensor quantity can be expressed in terms of a frame field, in particular, the metrictensor takes on a particularly convenient form.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
The letter "g" with superscripts refers to the inverse of the metrictensor.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
This constant would restore to the general theory's description of space-time an invariant metrictensor for the fabric of space/existence.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
However, the equations can be arranged so that they contain only the metrictensor and not its inverse.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
The equation for this operator requires the inverse of the metrictensor g and its determinant.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
Further identities can be read off directly from the gamma matrix identities by replacing the metrictensor with inner products.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
The reverse is possible by contracting with the (matrix) inverse of the metrictensor.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
By integration, the metrictensor allows one to define and compute the length of curves on the manifold.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
Solving the equation for the geometry of space warped due to the mass distribution gives the metrictensor.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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