单词 metric tensor 释义 BETA

Examples ofmetric tensor

Dictionary> Examples ofmetric tensormetric tensorisn’t in the Cambridge Dictionary yet. You can help!Add a definitionBecause of this, if an appropriate coordinate system is chosen, one of the coordinates is ignorable for the physical magnitudes and for themetrictensor.From theCambridge English CorpusIn either case, the chosen geometry is specified by its correspondingmetrictensor.From theCambridge English CorpusUpon solving this differential equation implicitly using known magnetic field intensities, themetrictensorfor the resulting basis can be computed.From theCambridge English CorpusCoordinate systems, in general, are characterized by theirmetrictensor.From theCambridge English CorpusThe signs in the following tensor analysis depend on the convention used for themetrictensor.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.Ametrictensordescribes a geometry of spacetime.FromWikipediaThis 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, themetrictensortakes on a particularly convenient form.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.The letter "g" with superscripts refers to the inverse of themetrictensor.FromWikipediaThis 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 invariantmetrictensorfor the fabric of space/existence.FromWikipediaThis 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 themetrictensorand not its inverse.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.The equation for this operator requires the inverse of themetrictensorg and its determinant.FromWikipediaThis 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 themetrictensorwith inner products.FromWikipediaThis 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 themetrictensor.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.By integration, themetrictensorallows one to define and compute the length of curves on the manifold.FromWikipediaThis 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 themetrictensor.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.The essential motivation for introducing harmonic coordinate systems is that themetrictensoris especially smooth when written in these coordinate systems.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.It is defined even in the absence of ametrictensor.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.We find the world line that lies on the surface of the sphere of radius r by varying themetrictensor.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.This assumption is expressed in differential geometry using ametrictensorthat has a negative coefficient.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.

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