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Google Tensor
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Google Tensor is a series of ARM64-based system-on-chip (SoC) processors designed by Google for its Pixel devices. It was originally conceptualized inTensor Processing Unit (3,208 words) [view diff] exact match in snippet view article find links to article
Tensor Processing Unit (TPU) is an AI accelerator application-specific integrated circuit (ASIC) developed by Google for neural network machine learningTensor fasciae latae muscle (972 words) [view diff] exact match in snippet view article find links to article
The tensor fasciae latae (or tensor fasciæ latæ or, formerly, tensor vaginae femoris) is a muscle of the thigh. Together with the gluteus maximus, it actsTensor tympani muscle (1,242 words) [view diff] exact match in snippet view article find links to article
The tensor tympani is a muscle within the middle ear, located in the bony canal above the bony part of the auditory tube, and connects to the malleus boneCyclic group (4,113 words) [view diff] exact match in snippet view article find links to article
isomorphic to the group of units of the ring Z, which is ({−1, +1}, ×) ≅ C2. The tensor product Z/mZ ⊗ Z/nZ can be shown to be isomorphic to Z / gcd(m, n)Z. SoShader (2,497 words) [view diff] exact match in snippet view article find links to article
"ray tracing shaders" as "ray tracing cores". Tensor shaders may be integrated in NPUs or GPUs. Tensor shaders are supported by Microsoft via DirectMLBrans–Dicke theory (2,324 words) [view diff] exact match in snippet view article find links to article
of a scalar–tensor theory, a gravitational theory in which the gravitational interaction is mediated by a scalar field as well as the tensor field of generalPyTorch (1,172 words) [view diff] exact match in snippet view article find links to article
Face's Transformers, and Catalyst. PyTorch provides two high-level features: Tensor computing (like NumPy) with strong acceleration via graphics processingTensor veli palatini muscle (562 words) [view diff] exact match in snippet view article find links to article
The tensor veli palatini muscle (tensor palati or tensor muscle of the velum palatinum) is a thin, triangular muscle of the head that tenses the soft palateMandibular nerve (497 words) [view diff] exact match in snippet view article find links to article
[better source needed] The mandibular nerve immediately passes between tensor veli palatini, which is medial, and lateral pterygoid, which is lateralCUDA (4,134 words) [view diff] exact match in snippet view article find links to article
2024. "Datasheet NVIDIA L40" (PDF). 27 April 2024. In the Whitepapers the Tensor Core cube diagrams represent the Dot Product Unit Width into the heightKaluza–Klein theory (7,306 words) [view diff] exact match in snippet view article find links to article
a purely classical extension of general relativity to 5D, with a metric tensor of 15 components. Ten components are identified with the 4D spacetime metricPixel 6 (5,981 words) [view diff] exact match in snippet view article find links to article
reports that they would be powered by a custom system-on-chip named Google Tensor. The cameras are housed in a horizontal bar on the back, while the frontMetric signature (1,358 words) [view diff] exact match in snippet view article find links to article
In mathematics, the signature of a metric tensor g (or equivalently, a real quadratic form thought of as a real symmetric bilinear form on a finite-dimensionalCUDA (4,134 words) [view diff] exact match in snippet view article find links to article
2024. "Datasheet NVIDIA L40" (PDF). 27 April 2024. In the Whitepapers the Tensor Core cube diagrams represent the Dot Product Unit Width into the heightNuclear space (4,345 words) [view diff] exact match in snippet view article find links to article
}\left(\Omega _{1}\right)} is nuclear, this tensor product is simultaneously the injective tensor product and projective tensor product). In short, the SchwartzVon Neumann algebra (5,912 words) [view diff] exact match in snippet view article find links to article
tensor product of two von Neumann algebras acting on two Hilbert spaces is defined to be the von Neumann algebra generated by their algebraic tensor productMonoidal category (2,433 words) [view diff] exact match in snippet view article find links to article
In mathematics, a monoidal category (or tensor category) is a category C {\displaystyle \mathbf {C} } equipped with a bifunctor ⊗ : C × C → C {\displaystyleHopper (microarchitecture) (1,754 words) [view diff] exact match in snippet view article
Ampere and Hopper architectures, 64. The Hopper architecture provides a Tensor Memory Accelerator (TMA), which supports bidirectional asynchronous memorySemiclassical gravity (753 words) [view diff] exact match in snippet view article find links to article
is encoded by the Einstein tensor G μ ν {\displaystyle G_{\mu \nu }} to the expectation value of the energy–momentum tensor T ^ μ ν {\displaystyle {\hatTensor product of algebras (1,062 words) [view diff] exact match in snippet view article find links to article
In mathematics, the tensor product of two algebras over a commutative ring R is also an R-algebra. This gives the tensor product of algebras. When theTractography (929 words) [view diff] exact match in snippet view article find links to article
often modeled as an ellipsoid, and the technique is then called diffusion tensor imaging. Barriers can be many things: cell membranes, axons, myelin, etcVector calculus identities (6,533 words) [view diff] exact match in snippet view article find links to article
)^{\textsf {T}}} is a tensor field of order k + 1. For a tensor field T {\displaystyle \mathbf {T} } of order k > 0, the tensor field ∇ T {\displaystylePierre Deligne (1,942 words) [view diff] exact match in snippet view article find links to article
stacks Fourier–Deligne transform Deligne cohomology Deligne motive Deligne tensor product of abelian categories (denoted ⊠ {\displaystyle \boxtimes } ) Deligne'sUnified field theory (1,667 words) [view diff] exact match in snippet view article find links to article
quanta are fermionic particles such as electrons, and tensor fields such as the metric tensor field that describes the shape of spacetime and gives riseGravitational constant (5,217 words) [view diff] exact match in snippet view article find links to article
the geometry of spacetime and the energy–momentum tensor (also referred to as the stress–energy tensor). The measured value of the constant is known withNavier–Stokes equations (15,470 words) [view diff] exact match in snippet view article find links to article
\cdot {\boldsymbol {\sigma }}+\mathbf {f} .} By setting the Cauchy stress tensor σ {\textstyle {\boldsymbol {\sigma }}} to be the sum of a viscosity termLagrangian (field theory) (5,951 words) [view diff] exact match in snippet view article
curvature scalar, which is the Ricci tensor contracted with the metric tensor, and the Ricci tensor is the Riemann tensor contracted with a Kronecker deltaGödel metric (3,873 words) [view diff] exact match in snippet view article find links to article
Kurt Gödel, of the Einstein field equations in which the stress–energy tensor contains two terms: the first representing the matter density of a homogeneousFundamental matrix (computer vision) (1,268 words) [view diff] exact match in snippet view article
thesis. It is sometimes also referred to as the "bifocal tensor". As a tensor it is a two-point tensor in that it is a bilinear form relating points in distinctLinearized gravity (2,008 words) [view diff] exact match in snippet view article find links to article
linearized gravity is the application of perturbation theory to the metric tensor that describes the geometry of spacetime. As a consequence, linearized gravityCurvature of Riemannian manifolds (2,115 words) [view diff] exact match in snippet view article find links to article
define curvature for these manifolds, now known as the Riemann curvature tensor. Similar notions have found applications everywhere in differential geometryEinstein–Cartan theory (3,396 words) [view diff] exact match in snippet view article find links to article
formulation of spin (the spin tensor). These extra equations express the torsion linearly in terms of the spin tensor associated with the matter sourceNvidia Jetson (1,153 words) [view diff] exact match in snippet view article find links to article
512-core Ampere GPU with 16 Tensor cores, while the 8 GB variant doubles those numbers to 40/20 TOPs, a 1024-core GPU and 16 Tensor cores. Both have 6 ArmScalar–tensor–vector gravity (1,690 words) [view diff] exact match in snippet view article find links to article
Scalar–tensor–vector gravity (STVG) is a modified theory of gravity developed by John Moffat, a researcher at the Perimeter Institute for Theoretical PhysicsIliotibial tract (850 words) [view diff] exact match in snippet view article find links to article
of the fascia lata. The action of the muscles associated with the ITB (tensor fasciae latae and some fibers of gluteus maximus) flex, extend, abduct,Einstein–Cartan theory (3,396 words) [view diff] exact match in snippet view article find links to article
formulation of spin (the spin tensor). These extra equations express the torsion linearly in terms of the spin tensor associated with the matter sourcePixel 7 (3,491 words) [view diff] exact match in snippet view article find links to article
the Google I/O keynote. They are powered by the second-generation Google Tensor chip, and feature a design similar to that of the Pixel 6 series. They shippedVolta (microarchitecture) (1,056 words) [view diff] exact match in snippet view article
chemist and physicist Alessandro Volta. It was Nvidia's first chip to feature Tensor Cores, specially designed cores that have superior deep learning performancePixel 6a (1,042 words) [view diff] exact match in snippet view article find links to article
phone is available in the following colors: The Pixel 6a uses the Google Tensor system-on-chip, with 6 GB of RAM and 128 GB of non-expandable UFS 3.1 internalAssociative algebra (4,256 words) [view diff] exact match in snippet view article find links to article
category of R-algebras. Tensor products The tensor product of two R-algebras is also an R-algebra in a natural way. See tensor product of algebras forTuring (microarchitecture) (1,114 words) [view diff] exact match in snippet view article
industry. Key elements include dedicated artificial intelligence processors ("Tensor cores") and dedicated ray tracing processors ("RT cores"). Turing leveragesOrbicularis oculi muscle (933 words) [view diff] no match in snippet view article find links to article
The orbicularis oculi is a muscle in the face that closes the eyelids. It arises from the nasal part of the frontal bone, from the frontal process of theCompatibility (mechanics) (4,471 words) [view diff] exact match in snippet view article
continuum mechanics, a compatible deformation (or strain) tensor field in a body is that unique tensor field that is obtained when the body is subjected toGraviphoton (368 words) [view diff] exact match in snippet view article find links to article
is a hypothetical particle which emerges as an excitation of the metric tensor (i.e. gravitational field) in spacetime dimensions higher than four, asAmpere (microarchitecture) (1,211 words) [view diff] exact match in snippet view article
Third-generation Tensor Cores with FP16, bfloat16, TensorFloat-32 (TF32) and FP64 support and sparsity acceleration. The individual Tensor cores have withDeep Learning Super Sampling (3,692 words) [view diff] exact match in snippet view article find links to article
and 64 FP16 operations per clock per tensor core, and most Turing GPUs have a few hundred tensor cores. The Tensor Cores use CUDA Warp-Level PrimitivesTensor product of Hilbert spaces (2,141 words) [view diff] exact match in snippet view article find links to article
analysis, the tensor product of Hilbert spaces is a way to extend the tensor product construction so that the result of taking a tensor product of twoTrace (linear algebra) (5,480 words) [view diff] exact match in snippet view article
in the abstract setting of category theory. Trace of a tensor with respect to a metric tensor Characteristic function Field trace Golden–Thompson inequalitySymmetric monoidal category (631 words) [view diff] exact match in snippet view article find links to article
category (i.e. a category in which a "tensor product" ⊗ {\displaystyle \otimes } is defined) such that the tensor product is symmetric (i.e. A ⊗ B {\displaystyleVirtual black hole (609 words) [view diff] exact match in snippet view article find links to article
2}g_{\mu \nu }} is the Einstein tensor, which combines the Ricci tensor, the scalar curvature and the metric tensor; Λ {\displaystyle \Lambda } is theTrigeminal motor nucleus (124 words) [view diff] exact match in snippet view article find links to article
the first branchial arch, namely the muscles of mastication, the tensor tympani, tensor veli palatini, mylohyoid, and anterior belly of the digastric. ItNerve to tensor veli palatini (33 words) [view diff] exact match in snippet view article find links to article
The nerve to tensor veli palatini is a small nerve which is unique in that it is the only branch of the mandibular nerve providing motor innervation toADM formalism (2,431 words) [view diff] exact match in snippet view article find links to article
x^{i}} . The dynamic variables of this theory are taken to be the metric tensor of three-dimensional spatial slices γ i j ( t , x k ) {\displaystyle \gammaDual graviton (2,722 words) [view diff] exact match in snippet view article find links to article
coupling the dual graviton field to the curl of its own energy-momentum tensor. The previously mentioned theories of dual graviton are in flat space. InMultilinear principal component analysis (990 words) [view diff] exact match in snippet view article find links to article
tensors". M-way arrays may be modeled by linear tensor models, such as CANDECOMP/Parafac, or by multilinear tensor models, such as multilinear principal componentTeleparallelism (2,598 words) [view diff] exact match in snippet view article find links to article
characterized by a curvature-free linear connection in conjunction with a metric tensor field, both defined in terms of a dynamical tetrad field. The crucial newInvariant theory (2,576 words) [view diff] exact match in snippet view article find links to article
invariants: that is because a scalar multiple of the identity will act on a tensor of rank r in S(V) through the r-th power 'weight' of the scalar. The pointDegenerate Higher-Order Scalar-Tensor theories (1,201 words) [view diff] exact match in snippet view article find links to article
Degenerate Higher-Order Scalar-Tensor theories (or DHOST theories) are theories of modified gravity. They have a Lagrangian containing second-order derivativesCurvature form (884 words) [view diff] exact match in snippet view article find links to article
curvature of a connection on a principal bundle. The Riemann curvature tensor in Riemannian geometry can be considered as a special case. Let G be a LieGoogle Pixel (5,929 words) [view diff] exact match in snippet view article find links to article
pixel resolution; both have Corning Gorilla Glass Victus. Processor: Google Tensor Storage: Pixel 6 128 or 256 GB; Pixel 6 Pro 128, 256, or 512 GB RAM: 8 GBVacuum solution (general relativity) (841 words) [view diff] exact match in snippet view article
manifold whose Einstein tensor vanishes identically. According to the Einstein field equation, this means that the stress–energy tensor also vanishes identicallySuperior gluteal nerve (567 words) [view diff] exact match in snippet view article find links to article
It provides motor innervation to the gluteus medius, gluteus minimus, tensor fasciae latae, and piriformis muscles; it also has a cutaneous branch. TheCongruence (general relativity) (2,770 words) [view diff] exact match in snippet view article
the same congruence. However, in a Lorentzian manifold, we have a metric tensor, which picks out a preferred vector field among the vector fields whichLovelock theory of gravity (1,454 words) [view diff] exact match in snippet view article find links to article
_{r}\nu _{r}}^{\alpha _{r}\beta _{r}}} where Rμναβ represents the Riemann tensor, and where the generalized Kronecker delta δ is defined as the antisymmetricProjective tensor product (2,503 words) [view diff] exact match in snippet view article find links to article
projective tensor product of two locally convex topological vector spaces is a natural topological vector space structure on their tensor product. NamelyFock space (2,904 words) [view diff] exact match in snippet view article find links to article
particles are bosons, the n-particle states are vectors in a symmetrized tensor product of n single-particle Hilbert spaces H. If the identical particlesPhotoelasticity (2,383 words) [view diff] exact match in snippet view article find links to article
p_{ijk\ell }} is the symmetric part of the photoelastic tensor (the photoelastic strain tensor), and s k ℓ {\displaystyle s_{k\ell }} is the linear strainGauge theory gravity (1,122 words) [view diff] exact match in snippet view article find links to article
Einstein field equations are derivable from a variational principle. A spin tensor can also be supported in a manner similar to Einstein–Cartan–Sciama–KibbleSymmetric algebra (2,050 words) [view diff] exact match in snippet view article find links to article
over V. The symmetric algebra S(V) can be built as the quotient of the tensor algebra T(V) by the two-sided ideal generated by the elements of the formConformal anomaly (1,611 words) [view diff] exact match in snippet view article find links to article
scale current is then the trace of the stress tensor. In the absence of any mass scales the stress tensor trace vanishes ( ℏ = 0 {\displaystyle \hbar =0}Lorentz force (8,474 words) [view diff] exact match in snippet view article find links to article
ISBN 0-7167-0344-0. These authors use the Lorentz force in tensor form as definer of the electromagnetic tensor F, in turn the fields E and B. Grant, I. S.; PhillipsMedial pterygoid nerve (236 words) [view diff] exact match in snippet view article find links to article
(CN V3). It supplies the medial pterygoid muscle, the tensor veli palatini muscle, and the tensor tympani muscle. The medial pterygoid nerve is a slenderNeural processing unit (4,854 words) [view diff] exact match in snippet view article find links to article
silicon Macs. Accelerators are used in cloud computing servers, including tensor processing units (TPU) in Google Cloud Platform and Trainium and InferentiaSolutions of the Einstein field equations (1,321 words) [view diff] exact match in snippet view article find links to article
tensor to the stress–energy tensor, which represents the distribution of energy, momentum and stress in the spacetime manifold. The Einstein tensor isParameterized post-Newtonian formalism (3,338 words) [view diff] exact match in snippet view article find links to article
light remains constant in PPN formalism and it assumes that the metric tensor is always symmetric. The earliest parameterizations of the post-NewtonianQuantum logic gate (10,339 words) [view diff] exact match in snippet view article find links to article
. The tensor product (or Kronecker product) is used to combine quantum states. The combined state for a qubit register is the tensor product of theEffective mass (solid-state physics) (3,717 words) [view diff] exact match in snippet view article
masses correspond to the principal components of the inertial effective mass tensor, described later.) In this case, the electron motion is no longer directlyRandom field (1,128 words) [view diff] exact match in snippet view article find links to article
fields correspond to naturally spatially varying properties. This leads to tensor-valued random fields[clarification needed] in which the key role is playedInjective tensor product (2,524 words) [view diff] exact match in snippet view article find links to article
the injective tensor product is a particular topological tensor product, a topological vector space (TVS) formed by equipping the tensor product of theConnection (vector bundle) (8,674 words) [view diff] exact match in snippet view article
bundle E ∗ {\displaystyle E^{*}} , tensor powers E ⊗ k {\displaystyle E^{\otimes k}} , symmetric and antisymmetric tensor powers S k E , Λ k E {\displaystyleSign convention (591 words) [view diff] exact match in snippet view article find links to article
and notable graduate-level textbooks: The Ricci tensor is defined as the contraction of the Riemann tensor. Some authors use the contraction R a b = R cNordström's theory of gravitation (6,688 words) [view diff] exact match in snippet view article find links to article
Nordström turned to scalar theories of gravitation (while Einstein explored tensor theories). Nordström's first attempt to propose a suitable relativisticEuler's equations (rigid body dynamics) (1,476 words) [view diff] exact match in snippet view article
where Q {\displaystyle \mathbf {Q} } is the rotation tensor (not rotation matrix), an orthogonal tensor related to the angular velocity vector by ω × u =DF-space (1,031 words) [view diff] exact match in snippet view article find links to article
vector spaces. They play a considerable part in the theory of topological tensor products. DF-spaces were first defined by Alexander Grothendieck and studiedComplexification (2,069 words) [view diff] exact match in snippet view article find links to article
The subscript, R {\displaystyle \mathbb {R} } , on the tensor product indicates that the tensor product is taken over the real numbers (since V {\displaystyleParallel axis theorem (2,323 words) [view diff] exact match in snippet view article find links to article
involving the inertia tensor. Let Iij denote the inertia tensor of a body as calculated at the center of mass. Then the inertia tensor Jij as calculated relativeSuperior tympanic artery (69 words) [view diff] exact match in snippet view article find links to article
meningeal artery. On entering the cranium it runs in the canal for the tensor tympani muscle and supplies this muscle and the lining membrane of the canalVacuum polarization (1,617 words) [view diff] exact match in snippet view article find links to article
measured. The vacuum polarization is quantified by the vacuum polarization tensor Πμν(p) which describes the dielectric effect as a function of the four-momentumLine element (1,580 words) [view diff] exact match in snippet view article find links to article
be thought of as a differential arc length, is a function of the metric tensor and is denoted by d s {\displaystyle ds} . Line elements are used in physicsPure shear (321 words) [view diff] exact match in snippet view article find links to article
off-diagonal components of the strain tensor. The linear approximation to the Green-Lagrange strain shows that the small strain tensor is: ϵ = 1 2 [ 0 2 γ 0 2 γ 0Coalgebra (2,899 words) [view diff] exact match in snippet view article find links to article
"internal" tensor product of a tensor algebra. A tensor algebra comes with a tensor product (the internal one); it can also be equipped with a second tensor productClebsch–Gordan coefficients (6,142 words) [view diff] exact match in snippet view article find links to article
expansion coefficients of total angular momentum eigenstates in an uncoupled tensor product basis. In more mathematical terms, the CG coefficients are usedClassical Hamiltonian quaternions (5,246 words) [view diff] exact match in snippet view article find links to article
a scalar and a vector. It can also be represented as the product of its tensor and its versor. Hamilton invented the term scalars for the real numbersGraded vector space (884 words) [view diff] exact match in snippet view article find links to article
V ⊕ W with gradation (V ⊕ W)i = Vi ⊕ Wi . If I is a semigroup, then the tensor product of two I-graded vector spaces V and W is another I-graded vectorTensor product of fields (1,826 words) [view diff] exact match in snippet view article find links to article
In mathematics, the tensor product of two fields is their tensor product as algebras over a common subfield. If no subfield is explicitly specified, theUniversal enveloping algebra (8,954 words) [view diff] exact match in snippet view article find links to article
the tensor algebra T ( g ) {\displaystyle T({\mathfrak {g}})} from it. The tensor algebra is a free algebra: it simply contains all possible tensor productsConformal gravity (1,009 words) [view diff] exact match in snippet view article find links to article
metric tensor and Ω ( x ) {\displaystyle \Omega (x)} is a function on spacetime. The simplest theory in this category has the square of the Weyl tensor asGraviscalar (163 words) [view diff] exact match in snippet view article find links to article
graviscalar or radion emerges as an excitation of general relativity's metric tensor, i.e. gravitational field, but is indistinguishable from a scalar in fourScaphoid fossa (79 words) [view diff] exact match in snippet view article find links to article
oval, shallow depression, the scaphoid fossa, which gives origin to the tensor veli palatini. It is not the same as and has to be distinguished from theUniversal property (4,012 words) [view diff] exact match in snippet view article find links to article
Dedekind–MacNeille completion, product topologies, Stone–Čech compactification, tensor products, inverse limit and direct limit, kernels and cokernels, quotientMathematical descriptions of the electromagnetic field (6,726 words) [view diff] exact match in snippet view article find links to article
4-dimensional spacetime manifold. The Faraday tensor F μ ν {\displaystyle F_{\mu \nu }} (electromagnetic tensor) can be written as a 2-form in Minkowski spacePterygoid processes of the sphenoid (769 words) [view diff] exact match in snippet view article find links to article
muscle and the tensor veli palatini. Above this fossa is a small, oval, shallow depression, the scaphoid fossa, which gives origin to the tensor veli palatiniGauss–Bonnet gravity (378 words) [view diff] exact match in snippet view article find links to article
it identically vanishes. Despite being quadratic in the Riemann tensor (and Ricci tensor), terms containing more than 2 partial derivatives of the metricRankBrain (685 words) [view diff] exact match in snippet view article find links to article
the system is updated and goes live again. Google has stated that it uses tensor processing unit (TPU) ASICs for processing RankBrain requests. RankBrainStress tensor (86 words) [view diff] exact match in snippet view article find links to article
Stress tensor may refer to: Cauchy stress tensor, in classical physics Stress deviator tensor, in classical physics Piola–Kirchhoff stress tensor, in continuumEinstein manifold (1,016 words) [view diff] exact match in snippet view article find links to article
is a Riemannian or pseudo-Riemannian differentiable manifold whose Ricci tensor is proportional to the metric. They are named after Albert Einstein becauseTensor product of graphs (869 words) [view diff] exact match in snippet view article find links to article
In graph theory, the tensor product G × H of graphs G and H is a graph such that the vertex set of G × H is the Cartesian product V(G) × V(H); and verticesString diagram (3,676 words) [view diff] exact match in snippet view article find links to article
category of vector spaces and linear maps with the tensor product, string diagrams are called tensor networks or Penrose graphical notation. This has ledWave–current interaction (436 words) [view diff] exact match in snippet view article find links to article
importance for the dynamics of the interaction is the wave radiation stress tensor. Wave–current interaction is also one of the possible mechanisms for theEnergy condition (2,326 words) [view diff] exact match in snippet view article find links to article
any non-gravitational fields is described by the energy–momentum tensor (or matter tensor) T a b {\displaystyle T^{ab}} . However, the Einstein field equationDisplacement field (mechanics) (1,391 words) [view diff] exact match in snippet view article
then it is a rigid-body displacement. Two types of displacement gradient tensor may be defined, following the Lagrangian and Eulerian specifications. TheRepresentations of classical Lie groups (3,748 words) [view diff] exact match in snippet view article find links to article
Examples of tensor representations: Not all irreducible representations of G L ( n , C ) {\displaystyle GL(n,\mathbb {C} )} are tensor representationsTensor product of representations (2,941 words) [view diff] exact match in snippet view article find links to article
In mathematics, the tensor product of representations is a tensor product of vector spaces underlying representations together with the factor-wise groupRepresentations of classical Lie groups (3,748 words) [view diff] exact match in snippet view article find links to article
Examples of tensor representations: Not all irreducible representations of G L ( n , C ) {\displaystyle GL(n,\mathbb {C} )} are tensor representationsTensor product of representations (2,941 words) [view diff] exact match in snippet view article find links to article
In mathematics, the tensor product of representations is a tensor product of vector spaces underlying representations together with the factor-wise groupAda Lovelace (microarchitecture) (1,646 words) [view diff] exact match in snippet view article
Nvidia) - not to be confused with TSMC's regular N4 node 4th-generation Tensor Cores with FP8, FP16, bfloat16, TensorFloat-32 (TF32) and sparsity accelerationTri-tip (899 words) [view diff] exact match in snippet view article find links to article
triangular cut of beef from the bottom sirloin subprimal cut, consisting of the tensor fasciae latae muscle. Untrimmed, the tri-tip weighs around 5 pounds. InRaychaudhuri equation (1,749 words) [view diff] exact match in snippet view article find links to article
the shear tensor σ a b = θ a b − 1 3 θ h a b {\displaystyle \sigma _{ab}=\theta _{ab}-{\frac {1}{3}}\,\theta \,h_{ab}} and the vorticity tensor ω a b =Trace class (3,162 words) [view diff] no match in snippet view article find links to article
In mathematics, specifically functional analysis, a trace-class operator is a linear operator for which a trace may be defined, such that the trace isDerivation of the Navier–Stokes equations (5,661 words) [view diff] exact match in snippet view article find links to article
case of tensor product, which results in a second rank tensor; the divergence of a second rank tensor is again a vector (a first-rank tensor). Using theKerr–Newman metric (4,780 words) [view diff] exact match in snippet view article find links to article
is both rotating and electrically charged. This formula for the metric tensor g μ ν {\displaystyle g_{\mu \nu }\!} is called the Kerr–Newman metric. ItAnterior superior iliac spine (790 words) [view diff] exact match in snippet view article find links to article
provides attachment for the inguinal ligament, and the sartorius muscle. The tensor fasciae latae muscle attaches to the lateral aspect of the superior anteriorAcoustic reflex (1,760 words) [view diff] exact match in snippet view article find links to article
vocalize. When presented with an intense sound stimulus, the stapedius and tensor tympani muscles of the ossicles contract. The stapedius stiffens the ossicularBanach space (17,005 words) [view diff] exact match in snippet view article find links to article
algebraic tensor product X ⊗ Y {\displaystyle X\otimes Y} equipped with the projective tensor norm, and similarly for the injective tensor product X ⊗Representation theory (7,173 words) [view diff] exact match in snippet view article find links to article
coalgebra. In general, the tensor product of irreducible representations is not irreducible; the process of decomposing a tensor product as a direct sumHyperacusis (4,426 words) [view diff] exact match in snippet view article find links to article
around damage to or dysfunction of the stapes bone, stapedius muscle or tensor tympani (eardrum). It is often categorized into four subtypes: loudnessBilinear form (2,726 words) [view diff] exact match in snippet view article find links to article
symmetric bilinear forms breaks down. By the universal property of the tensor product, there is a canonical correspondence between bilinear forms on VCurvature tensor (100 words) [view diff] exact match in snippet view article find links to article
In differential geometry, the term curvature tensor may refer to: the Riemann curvature tensor of a Riemannian manifold — see also Curvature of RiemannianFracton (subdimensional particle) (6,174 words) [view diff] exact match in snippet view article
Fractons have been identified in various CSS codes as well as in symmetric tensor gauge theories. Gapped fracton models often feature a topological groundQuadriceps (946 words) [view diff] exact match in snippet view article find links to article
addition, cadaver studies have confirmed the presence of a sixth muscle, the tensor vastus intermedius. While this muscle has a variable presentation, it consistentlyMassive gravity (8,981 words) [view diff] exact match in snippet view article find links to article
energy-momentum tensor. Since the mixed symmetric field strength of dual gravity is comparable to the totally symmetric extrinsic curvature tensor of the GalileonsPseudoscalar (831 words) [view diff] exact match in snippet view article find links to article
pseudoscalar is the product of two "pseudo-quantities", the resulting tensor is a true tensor, and does not change sign upon an inversion of axes. The situationElectric flux (642 words) [view diff] exact match in snippet view article find links to article
Liénard–Wiechert potential London equations Lorentz force Maxwell equations Maxwell tensor Poynting vector Synchrotron radiation Electrical network Alternating currentClassical electromagnetism (1,840 words) [view diff] exact match in snippet view article find links to article
in term of four-current (instead of charge) and a single electromagnetic tensor that represents the combined field ( F μ ν {\displaystyle F^{\mu \nu }}Proca action (756 words) [view diff] exact match in snippet view article find links to article
the Z and W bosons. This article uses the (+−−−) metric signature and tensor index notation in the language of 4-vectors. The field involved is a complexShear stress (1,631 words) [view diff] exact match in snippet view article find links to article
shear tensor (a second-order tensor) is proportional to the flow velocity gradient (the velocity is a vector, so its gradient is a second-order tensor): τAWS Graviton (1,218 words) [view diff] exact match in snippet view article find links to article
Samsung Exynos 1080, 1280, 1330, 1380, 1480, 2100 Cortex-X1 Google Tensor, Tensor G2 Qualcomm Snapdragon 888(+) Samsung Exynos 2100 Neoverse N1 AmpereNuclear C*-algebra (471 words) [view diff] exact match in snippet view article find links to article
the injective and projective C*-cross norms coincides on the algebraic tensor product A⊗B and the completion of A⊗B with respect to this norm is a C*-algebraSkew coordinates (1,591 words) [view diff] exact match in snippet view article find links to article
since the metric tensor will have nonzero off-diagonal components, preventing many simplifications in formulas for tensor algebra and tensor calculus. TheFredholm kernel (851 words) [view diff] exact match in snippet view article find links to article
be its dual, that is, the space of bounded linear functionals on B. The tensor product B ∗ ⊗ B {\displaystyle B^{*}\otimes B} has a completion under theSeismic moment (473 words) [view diff] exact match in snippet view article find links to article
described by a seismic moment tensor M i j {\displaystyle M_{ij}} (a symmetric tensor, but not necessarily a double couple tensor), the seismic moment is MSkew coordinates (1,591 words) [view diff] exact match in snippet view article find links to article
since the metric tensor will have nonzero off-diagonal components, preventing many simplifications in formulas for tensor algebra and tensor calculus. TheAWS Graviton (1,218 words) [view diff] exact match in snippet view article find links to article
Samsung Exynos 1080, 1280, 1330, 1380, 1480, 2100 Cortex-X1 Google Tensor, Tensor G2 Qualcomm Snapdragon 888(+) Samsung Exynos 2100 Neoverse N1 AmpereList of skateboarding brands (1,395 words) [view diff] exact match in snippet view article find links to article
their sponsored skaters. Element Skateboards Independent Ace Krux Royal Tensor Thunder Venture Gullwing Mini Logo Lurpiv Polyurethane wheels attach toMathisson–Papapetrou–Dixon equations (1,266 words) [view diff] exact match in snippet view article find links to article
on them. Throughout, this article uses the natural units c = G = 1, and tensor index notation. The Mathisson–Papapetrou–Dixon (MPD) equations for a massVector-valued differential form (2,329 words) [view diff] exact match in snippet view article find links to article
Γ(E). An E-valued differential form of degree p is a smooth section of the tensor product bundle of E with Λp(T ∗M), the p-th exterior power of the cotangentRelativistic angular momentum (10,985 words) [view diff] exact match in snippet view article find links to article
of point-like particles, the angular momentum tensor is expressed in terms of the stress–energy tensor of the rotating object. In special relativity aloneWigner–Eckart theorem (2,699 words) [view diff] exact match in snippet view article find links to article
theory and quantum mechanics. It states that matrix elements of spherical tensor operators in the basis of angular momentum eigenstates can be expressedBraided monoidal category (931 words) [view diff] exact match in snippet view article find links to article
The action of γ {\displaystyle \gamma } on an N {\displaystyle N} -fold tensor product factors through the braid group. In particular, ( γ B , C ⊗ Id )Sheaf of modules (3,459 words) [view diff] exact match in snippet view article find links to article
rings. Let (X, O) be a ringed space. If F and G are O-modules, then their tensor product, denoted by F ⊗ O G {\displaystyle F\otimes _{O}G} or F ⊗ G {\displaystyleVon Mises yield criterion (1,912 words) [view diff] exact match in snippet view article find links to article
is a scalar value of stress that can be computed from the Cauchy stress tensor. In this case, a material is said to start yielding when the von Mises stressHypercomplex number (3,215 words) [view diff] exact match in snippet view article find links to article
dimension two. Split-octonions are non-associative and contain nilpotents. The tensor product of any two algebras is another algebra, which can be used to produceCGHS model (905 words) [view diff] exact match in snippet view article find links to article
_{i=1}^{N}{\frac {1}{2}}\left(\nabla f_{i}\right)^{2}\right\}} where g is the metric tensor, ϕ {\displaystyle \phi } is the dilaton field, fi are the matter fieldsARM Neoverse (1,155 words) [view diff] exact match in snippet view article find links to article
Samsung Exynos 1080, 1280, 1330, 1380, 1480, 2100 Cortex-X1 Google Tensor, Tensor G2 Qualcomm Snapdragon 888(+) Samsung Exynos 2100 Neoverse N1 AmpereGeneral covariance (657 words) [view diff] exact match in snippet view article find links to article
mathematical form in all coordinate systems, and is usually expressed in terms of tensor fields. The classical (non-quantum) theory of electrodynamics is one theoryAngular momentum diagrams (quantum mechanics) (1,683 words) [view diff] exact match in snippet view article
bra–ket notation and include the abstract nature of the state, such as tensor products and transformation rules. The notation parallels the idea of PenroseCricothyroid muscle (526 words) [view diff] exact match in snippet view article find links to article
The cricothyroid muscle is the only tensor muscle of the larynx aiding with phonation. It is innervated by the superior laryngeal nerve. Its action tiltsPerfect fluid (926 words) [view diff] exact match in snippet view article find links to article
expansion of the universe. In space-positive metric signature tensor notation, the stress–energy tensor of a perfect fluid can be written in the form T μ ν =Otic ganglion (470 words) [view diff] exact match in snippet view article find links to article
with the cartilaginous part of the auditory tube, and the origin of the tensor veli palatini; posteriorly, with the middle meningeal artery. It surroundsGlossary of category theory (11,455 words) [view diff] exact match in snippet view article find links to article
derived category). tensor category Usually synonymous with monoidal category (though some authors distinguish between the two concepts.) tensor triangulatedMagnetic flux (1,127 words) [view diff] exact match in snippet view article find links to article
Liénard–Wiechert potential London equations Lorentz force Maxwell equations Maxwell tensor Poynting vector Synchrotron radiation Electrical network Alternating currentMultivariate interpolation (758 words) [view diff] exact match in snippet view article find links to article
I N T {\displaystyle \mathrm {CINT} } -type operations for any type of tensor product splines, as explained in the tricubic interpolation article. HoweverMuscles of the hip (819 words) [view diff] exact match in snippet view article find links to article
muscles include the gluteus maximus, gluteus medius, gluteus minimus, and tensor fasciae latae. They cover the lateral surface of the ilium. The gluteusScalar–vector–tensor decomposition (838 words) [view diff] exact match in snippet view article find links to article
In cosmological perturbation theory, the scalar–vector–tensor decomposition is a decomposition of the most general linearized perturbations of theWeinberg–Witten theorem (2,566 words) [view diff] exact match in snippet view article find links to article
current in question. A 3 + 1D QFT with a non-zero conserved stress–energy tensor T μ ν {\displaystyle T^{\mu \nu }} which is Poincaré covariant (and gaugePixel Tablet (970 words) [view diff] exact match in snippet view article find links to article
preview at an upcoming Pixel-branded Android tablet powered by the Google Tensor system-on-chip (SoC), to be released the following year. The tablet wasFour-current (809 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \Box } is the D'Alembert operator, or the electromagnetic field tensor: ∇ α F α β = μ 0 J β {\displaystyle \nabla _{\alpha }F^{\alpha \beta }=\muBTZ black hole (816 words) [view diff] exact match in snippet view article find links to article
(the Weyl tensor vanishes in three dimensions, while the Ricci tensor vanishes due to the Einstein field equations, so the full Riemann tensor vanishes)Magnetic resonance neurography (2,727 words) [view diff] exact match in snippet view article find links to article
and spinal cord is called magnetic resonance tractography or diffusion tensor imaging. Magnetic resonance imaging (MRI) is based on differences in thePharyngeal branch of vagus nerve (235 words) [view diff] exact match in snippet view article find links to article
motor innervation to most of the muscles of the soft palate (all but the tensor veli palatini muscle), and of the pharynx (all but the stylopharyngeus muscle)Pp-wave spacetime (3,404 words) [view diff] exact match in snippet view article find links to article
Rosen in 1937. A pp-wave spacetime is any Lorentzian manifold whose metric tensor can be described, with respect to Brinkmann coordinates, in the form d sGravity (7,321 words) [view diff] exact match in snippet view article find links to article
T_{\mu \nu },} where Gμν is the Einstein tensor, gμν is the metric tensor, Tμν is the stress–energy tensor, Λ is the cosmological constant, G {\displaystyleJackiw–Teitelboim gravity (325 words) [view diff] exact match in snippet view article find links to article
Newtonian dynamics, MOND AQUAL Tensor–vector–scalar Nonsymmetric gravitation Scalar–tensor theories Brans–Dicke Scalar–tensor–vector Conformal gravity ScalarQuantum group (4,983 words) [view diff] exact match in snippet view article find links to article
finite-dimensional. In the case of a tensor product of highest weight modules, its decomposition into submodules is the same as for the tensor product of the correspondingWhitehead's theory of gravitation (1,546 words) [view diff] exact match in snippet view article find links to article
notation of Chiang and Hamity , introduce a Minkowski spacetime with metric tensor η a b = d i a g ( 1 , − 1 , − 1 , − 1 ) {\displaystyle \eta _{ab}=\mathrmEinstein–Hilbert action (2,645 words) [view diff] exact match in snippet view article find links to article
) {\displaystyle g=\det(g_{\mu \nu })} is the determinant of the metric tensor matrix, R {\displaystyle R} is the Ricci scalar, and κ = 8 π G c − 4 {\displaystyleConjugate variables (thermodynamics) (1,637 words) [view diff] exact match in snippet view article
is generalized to the stress tensor, and changes in volume are generalized to the volume multiplied by the strain tensor. These then form a conjugateLamé parameters (436 words) [view diff] exact match in snippet view article find links to article
is the stress tensor, ε the strain tensor, I the identity matrix and tr the trace function. Hooke's law may be written in terms of tensor components usingFree product of associative algebras (321 words) [view diff] exact match in snippet view article find links to article
their tensor product. We first define a free product of two algebras. Let A and B be algebras over a commutative ring R. Consider their tensor algebraHyperelastic material (6,928 words) [view diff] exact match in snippet view article find links to article
left Cauchy–Green deformation tensor tensor, (which are identical to the ones for the right Cauchy Green stretch tensor), and add J {\displaystyle J}Tensor-hom adjunction (1,071 words) [view diff] exact match in snippet view article find links to article
In mathematics, the tensor-hom adjunction is that the tensor product − ⊗ X {\displaystyle -\otimes X} and hom-functor Hom ( X , − ) {\displaystyle \operatornameTrigeminal nerve (4,131 words) [view diff] exact match in snippet view article find links to article
muscles are the tensor veli palatini, the mylohyoid, the anterior belly of the digastric and the tensor tympani. With the exception of the tensor tympani, allGlueball (1,935 words) [view diff] exact match in snippet view article find links to article
pseudo-scalar) or J = 2 (tensor). Triple-gluon glueballs can have total angular momentum J = 1 (vector boson) or 3 (third-order tensor boson). All glueballsKünneth theorem (1,708 words) [view diff] exact match in snippet view article find links to article
X\times Y} . In the simplest possible case the relationship is that of a tensor product, but for applications it is very often necessary to apply certainGoogle Neural Machine Translation (1,731 words) [view diff] exact match in snippet view article find links to article
used WordPiece tokenizer, and beam search decoding strategy. It ran on Tensor Processing Units. By 2020, the system had been replaced by another deepTwistor string theory (316 words) [view diff] exact match in snippet view article find links to article
Newtonian dynamics, MOND AQUAL Tensor–vector–scalar Nonsymmetric gravitation Scalar–tensor theories Brans–Dicke Scalar–tensor–vector Conformal gravity ScalarDGP model (459 words) [view diff] exact match in snippet view article find links to article
Newtonian dynamics, MOND AQUAL Tensor–vector–scalar Nonsymmetric gravitation Scalar–tensor theories Brans–Dicke Scalar–tensor–vector Conformal gravity ScalarSingular value decomposition (14,067 words) [view diff] no match in snippet view article find links to article
In linear algebra, the singular value decomposition (SVD) is a factorization of a real or complex matrix into a rotation, followed by a rescaling followedRodney Mullen (8,394 words) [view diff] exact match in snippet view article find links to article
A subsequent advertisement was released, entitled "The Patented Tensor Design." Tensor recruited team riders such as Daewon Song, Chris Cole, Chris HaslamEuclidean quantum gravity (1,275 words) [view diff] exact match in snippet view article find links to article
to vacuum amplitude is written as a functional integral over the metric tensor, which is now the quantum field under consideration. ∫ D g D ϕ exp ( ∫Tensor product bundle (284 words) [view diff] exact match in snippet view article find links to article
tensor product of vector bundles E, F (over the same space X) is a vector bundle, denoted by E ⊗ F, whose fiber over each point x ∈ X is the tensor productBi-scalar tensor vector gravity (179 words) [view diff] exact match in snippet view article find links to article
Bi-scalar tensor vector gravity theory (BSTV) is an extension of the tensor–vector–scalar gravity theory (TeVeS). TeVeS is a relativistic generalizationCoordinate conditions (1,166 words) [view diff] exact match in snippet view article find links to article
do not determine the metric uniquely, even if one knows what the metric tensor equals everywhere at an initial time. This situation is analogous to theSymmetric space (4,599 words) [view diff] exact match in snippet view article find links to article
connected Riemannian manifold is a symmetric space if and only if its curvature tensor is invariant under parallel transport. More generally, a Riemannian manifoldSectional curvature (3,104 words) [view diff] exact match in snippet view article find links to article
the manifold. The sectional curvature determines the Riemann curvature tensor completely. Given a Riemannian manifold and two linearly independent tangentWhite matter (2,240 words) [view diff] exact match in snippet view article find links to article
matter has been advanced with the neuroimaging technique called diffusion tensor imaging where magnetic resonance imaging (MRI) brain scanners are used.Metric (339 words) [view diff] exact match in snippet view article find links to article
space A metric tensor, in differential geometry, which allows defining lengths of curves, angles, and distances in a manifold Metric tensor (general relativity)Elastic modulus (1,504 words) [view diff] exact match in snippet view article find links to article
materials. These constants form the elements of the stiffness matrix in tensor notation, which relates stress to strain through linear equations in anisotropicMagnetic scalar potential (488 words) [view diff] exact match in snippet view article find links to article
Liénard–Wiechert potential London equations Lorentz force Maxwell equations Maxwell tensor Poynting vector Synchrotron radiation Electrical network Alternating currentBoxer's fracture (1,448 words) [view diff] exact match in snippet view article find links to article
most fractures with less than 70 degrees of angulation, buddy taping and a tensor bandage resulted in similar outcomes to reduction with splinting. In thoseSoft palate (907 words) [view diff] exact match in snippet view article find links to article
pharyngeal plexus via the vagus nerve, with the exception of the tensor veli palatini. The tensor veli palatini is innervated by the mandibular division of theDubna 48K (787 words) [view diff] case mismatch in snippet view article find links to article
name comes from Dubna, a town near Moscow, where it was produced on the "TENSOR" instrument factory, and "48K" stands for 48 KBs of RAM. According to theSchwarzschild coordinates (4,089 words) [view diff] exact match in snippet view article find links to article
Specifying a metric tensor g {\displaystyle g} is part of the definition of any Lorentzian manifold. The simplest way to define this tensor is to define itTotally real number field (260 words) [view diff] exact match in snippet view article find links to article
roots of P being real; or that the tensor product algebra of F with the real field, over Q, is isomorphic to a tensor power of R. For example, quadraticElastic bandage (450 words) [view diff] no match in snippet view article find links to article
An elastic bandage is a "stretchable bandage used to create localized pressure". Elastic bandages are commonly used to treat muscle sprains and strainsTheano (software) (464 words) [view diff] exact match in snippet view article
import theano from theano import tensor # Declare two symbolic floating-point scalars a = tensor.dscalar() b = tensor.dscalar() # Create a simple expressionLie algebra representation (4,312 words) [view diff] exact match in snippet view article find links to article
product#Properties, and more specifically in Tensor product of representations. In the physics literature, the tensor product with the identity operator is oftenTotally real number field (260 words) [view diff] exact match in snippet view article find links to article
roots of P being real; or that the tensor product algebra of F with the real field, over Q, is isomorphic to a tensor power of R. For example, quadraticElastic bandage (450 words) [view diff] no match in snippet view article find links to article
An elastic bandage is a "stretchable bandage used to create localized pressure". Elastic bandages are commonly used to treat muscle sprains and strainsGeodesic deviation (789 words) [view diff] exact match in snippet view article find links to article
tidal force in general relativity is described by the Riemann curvature tensor, and the trajectory of an object solely under the influence of gravity isElastic modulus (1,504 words) [view diff] exact match in snippet view article find links to article
materials. These constants form the elements of the stiffness matrix in tensor notation, which relates stress to strain through linear equations in anisotropicPascal (microarchitecture) (1,989 words) [view diff] exact match in snippet view article
(non-tensor) INT8 dense tensor INT32 FP4 dense tensor FP16 FP16 dense tensor bfloat16 dense tensor TensorFloat-32 (TF32) dense tensor FP64 dense tensor InterconnectTensor Trucks (670 words) [view diff] exact match in snippet view article find links to article
Tensor Trucks is an American skateboarding truck company founded and designed by professional skateboarder, Rodney Mullen, in 2000. Tensor's parent companyFluid solution (2,174 words) [view diff] exact match in snippet view article find links to article
fluid solutions are often used as cosmological models. The stress–energy tensor of a relativistic fluid can be written in the form T a b = μ u a u b + pNewton–Cartan theory (1,414 words) [view diff] exact match in snippet view article find links to article
}]} mean the antisymmetric combination of the tensor A μ ν {\displaystyle A_{\mu \nu }} . The Ricci tensor is given by R κ ν = Δ U Ψ κ Ψ ν {\displaystyleFlat module (4,590 words) [view diff] exact match in snippet view article find links to article
is flat if taking the tensor product over R with M preserves exact sequences. A module is faithfully flat if taking the tensor product with a sequence(2+1)-dimensional topological gravity (287 words) [view diff] exact match in snippet view article
Newtonian dynamics, MOND AQUAL Tensor–vector–scalar Nonsymmetric gravitation Scalar–tensor theories Brans–Dicke Scalar–tensor–vector Conformal gravity ScalarLarge eddy simulation (7,232 words) [view diff] exact match in snippet view article find links to article
with the residual stress tensor τ i j {\displaystyle \tau _{ij}} grouping all unclosed terms. Leonard decomposed this stress tensor as τ i j = L i j + C iVorticity equation (1,693 words) [view diff] exact match in snippet view article find links to article
the local fluid density, p is the local pressure, τ is the viscous stress tensor and B represents the sum of the external body forces. The first source termFascia lata (998 words) [view diff] exact match in snippet view article find links to article
it receives a fibrous expansion from the gluteus maximus, and where the tensor fasciae latae is inserted between its layers; it is very thin behind andElectrical network (1,221 words) [view diff] exact match in snippet view article find links to article
Liénard–Wiechert potential London equations Lorentz force Maxwell equations Maxwell tensor Poynting vector Synchrotron radiation Electrical network Alternating currentList of contributors to general relativity (1,819 words) [view diff] exact match in snippet view article find links to article
(EK classification of symmetries of pp waves) Cornelius Lanczos (Lanczos tensor, Lanczos–van Stockum dust), Lev D. Landau (Landau–Lifshitz formulation,Hopf algebra (4,397 words) [view diff] exact match in snippet view article find links to article
compatible comultiplication, counit, and antipode allows for the construction of tensor products of representations, trivial representations, and dual representationsAQUAL (681 words) [view diff] exact match in snippet view article find links to article
According to Sanders and McGaugh, one problem with AQUAL (or any scalar–tensor theory in which the scalar field enters as a conformal factor multiplyingMoment magnitude scale (5,974 words) [view diff] exact match in snippet view article find links to article
basis used. Mwb – Based on moment tensor inversion of long-period (~10 – 100 s) body-waves. Mwr – From a moment tensor inversion of complete waveforms atTorch (machine learning) (863 words) [view diff] exact match in snippet view article
package of Torch is torch. It provides a flexible N-dimensional array or Tensor, which supports basic routines for indexing, slicing, transposing, type-castingOptical computing (3,440 words) [view diff] exact match in snippet view article find links to article
new photonic computing technologies, all on a chip such as the photonic tensor core. Wavelength-based computing can be used to solve the 3-SAT problemTannakian formalism (836 words) [view diff] exact match in snippet view article find links to article
fiber functor Φ of the Galois theory is replaced by an exact and faithful tensor functor F from C to the category of finite-dimensional vector spaces overList of formulas in Riemannian geometry (5,403 words) [view diff] exact match in snippet view article find links to article
The Weyl tensor has the same basic symmetries as the Riemann tensor, but its 'analogue' of the Ricci tensor is zero: W i j k l = − W jHilbert space (17,475 words) [view diff] exact match in snippet view article find links to article
H1 and x2, y2 ∊ H2, then one defines an inner product on the (ordinary) tensor product as follows. On simple tensors, let ⟨ x 1 ⊗ x 2 , y 1 ⊗ y 2 ⟩ = ⟨RST model (321 words) [view diff] exact match in snippet view article find links to article
Newtonian dynamics, MOND AQUAL Tensor–vector–scalar Nonsymmetric gravitation Scalar–tensor theories Brans–Dicke Scalar–tensor–vector Conformal gravity ScalarGeForce RTX 20 series (3,134 words) [view diff] exact match in snippet view article find links to article
to handle real-time ray tracing" thanks to the "inclusion of dedicated tensor and RT cores." In August 2018, it was reported that Nvidia had trademarkedList of topologies (2,030 words) [view diff] exact match in snippet view article find links to article
topology Inductive tensor product Injective tensor product Projective tensor product Tensor product of Hilbert spaces Topological tensor product Émery topologyCausal dynamical triangulation (1,212 words) [view diff] exact match in snippet view article find links to article
Newtonian dynamics, MOND AQUAL Tensor–vector–scalar Nonsymmetric gravitation Scalar–tensor theories Brans–Dicke Scalar–tensor–vector Conformal gravity ScalarAlphaZero (2,561 words) [view diff] exact match in snippet view article find links to article
the three-day version of AlphaGo Zero. In each case it made use of custom tensor processing units (TPUs) that the Google programs were optimized to use.Inductive tensor product (2,095 words) [view diff] exact match in snippet view article find links to article
vector space (TVS) topology on X ⊗ Y , {\displaystyle X\otimes Y,} the tensor product of two locally convex TVSs, making the canonical map ⋅ ⊗ ⋅ : X ×Electrovacuum solution (1,986 words) [view diff] exact match in snippet view article find links to article
specified by defining a metric tensor g a b {\displaystyle g_{ab}} (or by defining a frame field). The Riemann curvature tensor R a b c d {\displaystyle R_{abcd}}Dilaton (1,319 words) [view diff] exact match in snippet view article find links to article
Newtonian dynamics, MOND AQUAL Tensor–vector–scalar Nonsymmetric gravitation Scalar–tensor theories Brans–Dicke Scalar–tensor–vector Conformal gravity ScalarGeometrodynamics (1,707 words) [view diff] exact match in snippet view article find links to article
one can obtain the electromagnetic field tensor from the electromagnetic contribution to the stress–energy tensor, which in general relativity is directlyWilliam Ritchie (physicist) (415 words) [view diff] exact match in snippet view article
Liénard–Wiechert potential London equations Lorentz force Maxwell equations Maxwell tensor Poynting vector Synchrotron radiation Electrical network Alternating currentHedetniemi's conjecture (1,853 words) [view diff] exact match in snippet view article find links to article
Hedetniemi in 1966, concerns the connection between graph coloring and the tensor product of graphs. This conjecture states that χ ( G × H ) = min { χ ( GMultilinear form (4,599 words) [view diff] exact match in snippet view article find links to article
a k {\displaystyle k} -tensor f ∈ T k ( V ) {\displaystyle f\in {\mathcal {T}}^{k}(V)} and an ℓ {\displaystyle \ell } -tensor g ∈ T ℓ ( V ) {\displaystyleCartesian product of graphs (1,450 words) [view diff] exact match in snippet view article find links to article
graphs, but is now more commonly used for another construction known as the tensor product of graphs. The square symbol is intended to be an intuitive andInfinite derivative gravity (2,564 words) [view diff] exact match in snippet view article find links to article
Tomboulis (1997) later extended this work. By looking at an equivalent scalar-tensor theory, Biswas, Mazumdar and Siegel (2005) looked at bouncing FRW solutionsMicro (novel) (1,899 words) [view diff] exact match in snippet view article
He orders them to follow him, with Bender in tow. He leads them to the tensor generator, a machine that uses extreme magnetic fields to shrink anythingStress functions (998 words) [view diff] exact match in snippet view article find links to article
in terms of the Beltrami stress tensor. Stress functions are derived as special cases of this Beltrami stress tensor which, although less general, sometimesPoincaré metric (2,101 words) [view diff] exact match in snippet view article find links to article
mathematics, the Poincaré metric, named after Henri Poincaré, is the metric tensor describing a two-dimensional surface of constant negative curvature. ItSynchronous frame (6,195 words) [view diff] exact match in snippet view article find links to article
time coordinates with a beginning at the hypersurface. In terms of metric-tensor components g i k {\displaystyle g_{ik}} , a synchronous frame is definedSXM (socket) (759 words) [view diff] exact match in snippet view article
(non-tensor) INT8 dense tensor INT32 FP4 dense tensor FP16 FP16 dense tensor bfloat16 dense tensor TensorFloat-32 (TF32) dense tensor FP64 dense tensor InterconnectDistribution (mathematics) (21,631 words) [view diff] exact match in snippet view article
the completion of the injective tensor product (which in this case is identical to the completion of the projective tensor product). The inclusion map InNvidia DGX (2,477 words) [view diff] exact match in snippet view article find links to article
(non-tensor) INT8 dense tensor INT32 FP4 dense tensor FP16 FP16 dense tensor bfloat16 dense tensor TensorFloat-32 (TF32) dense tensor FP64 dense tensor InterconnectCurvature invariant (340 words) [view diff] exact match in snippet view article find links to article
represent curvature. These tensors are usually the Riemann tensor, the Weyl tensor, the Ricci tensor and tensors formed from these by the operations of takingFélix Savart (392 words) [view diff] exact match in snippet view article find links to article
Liénard–Wiechert potential London equations Lorentz force Maxwell equations Maxwell tensor Poynting vector Synchrotron radiation Electrical network Alternating currentInduced gravity (844 words) [view diff] exact match in snippet view article find links to article
Newtonian dynamics, MOND AQUAL Tensor–vector–scalar Nonsymmetric gravitation Scalar–tensor theories Brans–Dicke Scalar–tensor–vector Conformal gravity ScalarCornelius Lanczos (1,297 words) [view diff] exact match in snippet view article find links to article
Lanczos showed that the Weyl tensor, which plays a fundamental role in general relativity, can be obtained from a tensor potential that is now calledEmil Lenz (487 words) [view diff] exact match in snippet view article find links to article
Liénard–Wiechert potential London equations Lorentz force Maxwell equations Maxwell tensor Poynting vector Synchrotron radiation Electrical network Alternating currentTensor glyph (218 words) [view diff] exact match in snippet view article find links to article
In scientific visualization a tensor glyph is an object that can visualize all or most of the nine degrees of freedom, such as acceleration, twist, orVan Stockum dust (2,067 words) [view diff] exact match in snippet view article find links to article
\;\sigma ^{2}={\frac {1}{f(r)}}\,dr,\;\sigma ^{3}=rd\varphi } gives the metric tensor in terms of the same two undetermined functions: g = − σ 0 ⊗ σ 0 + σ 1 ⊗Tensor product model transformation (2,185 words) [view diff] exact match in snippet view article find links to article
In mathematics, the tensor product (TP) model transformation was proposed by Baranyi and Yam as key concept for higher-order singular value decompositionVorticity (2,644 words) [view diff] exact match in snippet view article find links to article
is the three-dimensional Levi-Civita tensor. The vorticity tensor is simply the antisymmetric part of the tensor ∇ v {\displaystyle \nabla \mathbf {v}Magnetomotive force (741 words) [view diff] exact match in snippet view article find links to article
Liénard–Wiechert potential London equations Lorentz force Maxwell equations Maxwell tensor Poynting vector Synchrotron radiation Electrical network Alternating currentField (675 words) [view diff] exact match in snippet view article find links to article
assignment of a scalar to each point in a mathematical space Tensor field, assignment of a tensor to each point in a mathematical space Vector field, assignmentLenz's law (1,192 words) [view diff] exact match in snippet view article find links to article
Liénard–Wiechert potential London equations Lorentz force Maxwell equations Maxwell tensor Poynting vector Synchrotron radiation Electrical network Alternating currentKilling tensor (1,156 words) [view diff] exact match in snippet view article find links to article
In mathematics, a Killing tensor or Killing tensor field is a generalization of a Killing vector, for symmetric tensor fields instead of just vector fieldsTensor vastus intermedius muscle (521 words) [view diff] exact match in snippet view article find links to article
The tensor vastus intermedius is a muscle in the anterior compartment of thigh. It lies between the vastus intermedius and the vastus lateralis. The termStress–strain analysis (4,293 words) [view diff] exact match in snippet view article find links to article
principle, that means determining, implicitly or explicitly, the Cauchy stress tensor at every point. The external forces may be body forces (such as gravityMultiphysics simulation (502 words) [view diff] exact match in snippet view article find links to article
frequently include numerical analysis, partial differential equations and tensor analysis. The implementation of a multiphysics simulation follows a typicalGravitational instanton (2,560 words) [view diff] exact match in snippet view article find links to article
dimensional Euclidean space at large distances, and to have a self-dual Riemann tensor. Mathematically, this means that they are asymptotically locally EuclideanRainbow gravity theory (674 words) [view diff] exact match in snippet view article find links to article
Newtonian dynamics, MOND AQUAL Tensor–vector–scalar Nonsymmetric gravitation Scalar–tensor theories Brans–Dicke Scalar–tensor–vector Conformal gravity ScalarGravitational field (1,307 words) [view diff] exact match in snippet view article find links to article
\mathbf {G} =\kappa \mathbf {T} ,} where T is the stress–energy tensor, G is the Einstein tensor, and κ is the Einstein gravitational constant. The latter isLorentz scalar (1,406 words) [view diff] exact match in snippet view article find links to article
from general relativity, which is a contraction of the Riemann curvature tensor there. In special relativity the location of a particle in 4-dimensionalGravitational time dilation (2,404 words) [view diff] exact match in snippet view article find links to article
passage of proper time at different positions as described by a metric tensor of spacetime. The existence of gravitational time dilation was first confirmedClosed monoidal category (1,167 words) [view diff] exact match in snippet view article find links to article
over a field K {\displaystyle K} . Here the monoidal product is the usual tensor product of vector spaces, and the internal Hom is the vector space of linearLambdavacuum solution (927 words) [view diff] exact match in snippet view article find links to article
the Einstein field equation in which the only term in the stress–energy tensor is a cosmological constant term. This can be interpreted physically as aScientific visualization (3,071 words) [view diff] exact match in snippet view article find links to article
convolution methods. 2D tensor fields are often resolved to a vector field by using one of the two eigenvectors to represent the tensor each point in the field