「tensor」の共起表現(1語右で並び替え)

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「tensor」の共起表現一覧(1語右で並び替え)

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Thermal ellipsoids can be defined by a	tensor, a mathematical object which allows the defini
meaning of "rank" is similar to its meaning in	tensor algebra but not to the linear algebra concept
mmatic notation is very useful in manipulating	tensor algebra.
This possibility is a	tensor analogue of the well known that a null vector
Later Schouten wrote	Tensor Analysis for Physicists attempting to present
am, J. E. Marsden, and T. S. Ratiu, Manifolds,	Tensor Analysis, and Applications, Springer-Verlag (1
where W is the Weyl	tensor, and P the Schouten tensor given in terms of t
See also: theory of elasticity, strain	tensor and holographic interferometry.
ey matching conditions stating that the metric	tensor and extrinsic curvature tensor must agree.
some ambiguity in regulating the stress-energy	tensor, and this depends upon the curvature.
for a more detailed discussion of the Lanczos	tensor and spinor.
me in the presence of matter-contain the Ricci	tensor, and so calculating the Christoffel symbols is
iative processes tend to stand out, with heavy	tensor and scalar mesons decaying dominantly into vec
blished on the theories of Symmetry groups and	Tensor and Matrix algebra, then applied mathematics a
Ramond field appears, together with the metric	tensor and dilaton, as a set of massless excitations
In that case the components of the	tensor are different, say
ace, 1 time) gives , the trace of the Einstein	tensor, as the negative of , the Ricci tensor's trace
ry in this category has the square of the Weyl	tensor as the Lagrangian
uantization is based on decomposing the metric	tensor as follows,
asymptotically approach a well-defined metric	tensor at infinity - for example a spacetime that asy
theory of lifts in	tensor bundles
sformations on the manifold, it behaves like a	tensor, but under general coordinate transformations,
In coordinates, and denoting the Ricci	tensor by Rij and the scalar curvature by R, the comp
ten independent degrees of freedom of the Weyl	tensor Cabcd in the Newman-Penrose Formalism for gene
He is most famous as the inventor of the	tensor calculus but published important work in many
tions, and he used the newly developed tool of	tensor calculus to extend the special theory's global
Dirk J. Struik, "J A Schouten and the	tensor calculus," Nieuw Arch.
In addition the Bianchi formula for the Weyl	tensor can be rewritten to
The left Cauchy-Green deformation	tensor can then be expressed as
The topogravitic	tensor can be interpreted as representing the section
vita connection , the variation of the Riemann	tensor can be calculated as,
Riemannian or Lorentzian manifold whose metric	tensor can be written in form
tion, which can be viewed as projection onto a	tensor component.
As indicated above, the	tensor components correspond to gravitational waves.
where Tab are the energy-momentum	tensor components.
hat in general relativity, the electrogravitic	tensor controls tidal stresses on small objects, as m
But it is also possible to look for	tensor currents.
It is a functional of the metric	tensor defined at a (D-1)-dimensional compact surface
A metric	tensor describes the geometry of spacetime.
where Tab is the stress-energy	tensor describing the amount and motion of all matter
context, they are sometimes called birdtracks,	tensor diagrams, or Penrose graphical notation.
The geometrical shape has the Ricci	tensor equal to zero; this fact makes it relevant as
his formulation is that the scalar, vector and	tensor evolution equations are decoupled.
The	Tensor Fascia Lata attaches about 5cm away at the ili
Has rich feature set for scalar, vector, and	tensor field visualization.
transforms as a two-form i.e. an antisymmetric	tensor field with two indices.
in addition to the metric, which is a rank two	tensor field, there is a scalar field, φ, which has t
is widely used in mathematical physics, these	tensor fields should also give rise to specific contr
These	tensor fields should obey any relevant physical laws
up Elastic Liquids with his second text, Body	Tensor Fields in Continuum Mechanics (Academic Press,
is a Lorentzian manifold equipped with certain	tensor fields which are taken to model states of ordi
extbooks in rheology (Elastic Liquids and Body	Tensor Fields in Continuum Mechanics) he was one of t
systems, and is usually expressed in terms of	tensor fields.
As with scalar fluctuations,	tensor fluctuations are expected to follow a power la
The presence of primordial	tensor fluctuations (manifested as gravity waves) is
d as a function of the deviation of the metric	tensor from its prescribed asymptotic form.
description of how one can determine the tidal	tensor from observations of a single timelike congrue
r field φ comes from a component of the metric	tensor g55 where the figure 5 labels an additional, f
oted as ds and is given in terms of the metric	tensor gab as
	Tensor Geometry: The Geometric Viewpoint and its Uses
f triangle covariance in definition of inertia	tensor gives eventually
ential Aμ comes from a component of the metric	tensor gμ5 where the figure 5 labels an additional, f
where the Lanczos	tensor has the symmetries
Diffusion	tensor imaging (DTI) is a related use of MR to measur
Diffusion	tensor imaging is a non-invasive method to study the
ography, magnetic resonance imaging, diffusion	tensor imaging tractography techniques, and the new f
A 2009 meta-analysis of diffusion	tensor imaging studies identified two consistent loca
Newer technologies such as fMRI and diffusion	tensor imaging can help identify biologically relevan
cts in the spinal cord and brain via Diffusion	Tensor Imaging.
Four-tensor is a frequent abbreviation for a	tensor in a four-dimensional spacetime.
A	tensor in the theory of quadratic Lagrangians, which
cle, we will only attempt to define the metric	tensor in the domain of a single chart.
The idea of a	tensor in physical science evolved from attempts to d
ion rule differs from the rule for an ordinary	tensor in the intermediate treatment only by the pres
Therefore we can decompose the expansion	tensor into its traceless part plus a the trace part.
y and then placing the resulting stress-energy	tensor into the Einstein field equations.
The Einstein	tensor is symmetric
Thus another name for the Einstein	tensor is the trace-reversed Ricci tensor.
In abstract indices the Bach	tensor is given by
In general relativity, the topogravitic	tensor is one of the three pieces of the Bel decompos
The metric	tensor is represented by a U-shaped loop or an upside
The Levi-Civita antisymmetric	tensor is represented by a thick horizontal bar with
ds are Riemannian manifolds in which the Ricci	tensor is proportional (by some constant, not otherwi
Thus, the Lanczos potential	tensor is a gravitational field analog of the vector
In these coordinates, the metric	tensor is well-approximated by the Euclidean metric,
is a Lorentzian manifold in which the Einstein	tensor is null.
The	tensor is positive definite as the component of the f
e-third of the trace of the orthogonalized Uij	tensor) is listed in these columns.
r-Newman metric, the determinant of the metric	tensor is everywhere equal to negative one, even near
aterial in a strong magnetic field, the stress	tensor is non-symmetric.
hen the expectation value of the stress-energy	tensor is M/2 at A and M/2 at B, but we would never o
The stress-energy	tensor is the source of the gravitational field in th
ces taking integral values from 0 to 3. Such a	tensor is said to have contravariant rank n and covar
on in which the only term in the stress-energy	tensor is a cosmological constant term.
and therefore, the stress-energy	tensor isn't symmetric.
usually involves a few simple "identities" of	tensor manipulations.
Diffusion	tensor MRI (DTI) allows for the investigation of whit
The first context is essentially a	tensor multiplied by an extra sign factor, such that
The cricothyroid muscle is the only	tensor muscle of the larynx, aiding with phonation.
evolution of the metric and the stress-energy	tensor must be solved for together.
In general relativity, the Einstein	tensor occurs in the Einstein field equations for gra
The source for the conserved stress	tensor of the boundary theory is the boundary value o
y and general relativity, the trace-free Ricci	tensor of a pseudo-Riemannian manifold (M,g) is the t
eld equations are the components of the metric	tensor of spacetime.
The strain	tensor of the motion of turning the rod produces a no
The curvature	tensor of this anti-Mach-metric is of the null-type i
The traceless quadrupole moment	tensor of a system of charges (or masses, for example
the effective vanishing of the Weyl curvature	tensor of the cosmological gravitational field near t
be used in conjunction with Darcy's law and a	tensor of hydraulic conductivity to determine the flu
ongruence, is a way of breaking up the Riemann	tensor of a pseudo-Riemannian manifold into four piec
of a flat background represented by the metric	tensor of Minkowski spacetime.
s denoted a scalar-it may also be considered a	tensor of rank 0. The next level of complexity concer
is the metric	tensor on the manifold.
In differential geometry, the Cotton	tensor on a (pseudo)-Riemannian manifold of dimension
geometrical applications of	tensor operators
In general relativity, the tidal	tensor or gravitoelectric tensor is one of the pieces
al field is considered to be the stress-energy	tensor or matter tensor.
an be approximated by the infinitesimal strain	tensor or Cauchy's strain tensor, .
he Segre classification of the energy-momentum	tensor or the Petrov classification of the Weyl tenso
Since χ is a	tensor, P is not necessarily colinear with E.
The	tensor perturbation is truly gauge independent, since
n these evolve independently of the vector and	tensor perturbations and are the predominant ones aff
rturbations vanish in cosmic inflation and the	tensor perturbations are gravitational waves, which h
The Einstein	tensor plays the role of distinguishing these frames.
Cadabra has extensive functionality for	tensor polynomial simplification including multi-term
provided the coordinate system and the metric	tensor possess some common symmetries.
partite quantum syste whose state space is the	tensor product
Day's	tensor product construction can be used to generate c
o superselection sectors, each of which is the	tensor product of in irreducible representation of G
the connection between graph coloring and the	tensor product of graphs.
that determine the exact decomposition of the	tensor product of two representations of a group into
milies associated with a primary field and the	tensor product is realized by operator product expans
In the illustration, each vertex in the	tensor product is shown using a color from the first
When the energy-momentum	tensor represents an electromagnetic field, a Killing
When the energy-momentum	tensor represents a perfect fluid, every Killing vect
The Weyl	tensor represents the part of the gravitational field
the vorticity	tensor represents any tendency of the initial sphere
ction of such motion relative to the alignment	tensor; scaling factors therefore will differ with th
are known as the Harvard CMTs (centroid moment	tensor solutions) and are continued today at Lamont-D
The	tensor STij is gauge invariant: it does not change un
includes the quantum corrections to the metric	tensor, such as the worldsheet instantons.
apted frame can be found in which the Einstein	tensor takes the form
It is the only known conformally invariant	tensor that is algebraically independent of the Weyl
A dielectric	tensor that is not Hermitian gives rise to complex ei
tter and energy in the form of a stress-energy	tensor, the EFE are understood to be equations for th
ck proposed his generalization of the Einstein	tensor, the physicists began to discuss the quadratic
ute only a traceless term to the stress-energy	tensor, this implies that in a region of spacetime co
pending on the fluid, which relates the stress	tensor to the shear rate tensor.
The local reduction of the general metric	tensor to the Minkowski metric corresponds to free-fa
Addition of the matter stress-energy-momentum	tensor to the Landau-Lifshitz pseudotensor results in
skate companies: Almost, Enjoi, Speed Demons,	Tensor Trucks, Blind, Cliche, and Darkstar Skateboard
wall are the orifice of the semicanal for the	Tensor tympani muscle and the tympanic orifice of the
e pressure and density from the energy density	tensor Tμν, and g* as the effective number of degrees
r is usually a quantity that transforms like a	tensor under an orientation preserving coordinate tra
Regions of spacetime in which the Weyl	tensor vanishes contain no gravitational radiation an
ons, are associated with places where the Weyl	tensor vanishes identically.
ymptotically empty in the sense that its Ricci	tensor vanishes in a neighbourhood of the boundary of
h theories are obtained when the stress-energy	tensor vanishes.
us part of the tube, and blends below with the	Tensor veli palatini muscle.
The	tensor veli palatini is lateral to the levator and do
is plugged into the symmetric part of the Weyl	tensor W.
an important identity regarding the curl of a	tensor we know that for a continuous, single-valued d
r Pulay) is an error that occurs in the stress	tensor when using density functional theory.
t cause a variation of a medium's permittivity	tensor when an external electric field is applied, pr
They depend on the stress-energy	tensor, which in turn depends on the (unknown) metric
on of numbers at every point in space (i.e., a	tensor) which would describe how much it was bent or
is an equation involving the Riemann curvature	tensor, which measures the change in separation of ne
e a nonzero cosmological constant or a Riemann	tensor which is not self-dual.
itten as a functional integral over the metric	tensor, which is now the quantum field under consider
omplex refractive index or dielectric function	tensor, which gives access to fundamental physical pa
in's idea of introducing a nonsymmetric metric	tensor with the symmetric part corresponding to the u

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「tensor」の共起表現一覧(1語右で並び替え)