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Algebraic object with geometric applications
(electromagnetic tensor, Maxwell tensor, permittivity, magnetic susceptibility, etc.), and general relativity (stress–energy tensor, curvature tensor, etc.). In
Tensor
Mathematical operation on vector spaces
two vectors is sometimes called an elementary tensor or a decomposable tensor. The elementary tensors span V ⊗ W {\displaystyle V\otimes W} in the sense
Tensor_product
Series of system-on-chip processors
2020. The first-generation Tensor chip debuted on the Pixel 6 smartphone series in 2021, and was succeeded by the Tensor G2 chip in 2022, G3 in 2023
Google_Tensor
Topics referred to by the same term
objects related to a vector space. Tensor may also refer to: Tensor (intrinsic definition) Tensor field Tensor product Tensor (obsolete), the norm used on the
Tensor_(disambiguation)
Tensor describing energy momentum density in spacetime
stress-energy tensor The stress–energy tensor, sometimes called the stress–energy–momentum tensor or the energy–momentum tensor, is a tensor field quantity
Stress–energy_tensor
Mathematical object that describes the electromagnetic field in spacetime
electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a tensor that describes
Electromagnetic_tensor
Concept in mathematics
In mathematics, the tensor-hom adjunction is the statement that the tensor product − ⊗ X {\displaystyle -\otimes X} and hom-functor Hom ( X , − ) {\displaystyle
Tensor–hom_adjunction
Assignment of a tensor continuously varying across a region of space
In mathematics and physics, a tensor field is a function assigning a tensor to each point of a region of a mathematical space (typically a Euclidean space
Tensor_field
Tensor in differential geometry
converge. Formally, it is a symmetric rank-two tensor obtained by taking a trace of the Riemann curvature tensor of a Riemannian or pseudo-Riemannian metric
Ricci_curvature
Field-equations in general relativity
Einstein in 1915 in the form of a tensor equation which related the local spacetime curvature (expressed by the Einstein tensor) with the local energy, momentum
Einstein_field_equations
Tensor field in Riemannian geometry
mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno Christoffel) is the
Riemann_curvature_tensor
Muscle of the middle ear
stapedius. The tensor tympani is supplied by the tensor tympani nerve, a branch of the mandibular branch of the trigeminal nerve. As the tensor tympani is
Tensor_tympani_muscle
Muscle of the thigh
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 acts
Tensor_fasciae_latae_muscle
Concept in machine learning
learning, the term tensor informally refers to two different concepts: (i) a way of organizing data and (ii) a multilinear (tensor) transformation. Data
Tensor_(machine_learning)
Tensor index notation for tensor-based calculations
notation and manipulation for tensors and tensor fields on a differentiable manifold, with or without a metric tensor or connection. It is also the modern
Ricci_calculus
AI accelerator ASIC by Google
Tensor Processing Unit (TPU) is a neural processing unit (NPU) application-specific integrated circuit (ASIC) developed by Google for neural network machine
Tensor_Processing_Unit
Topics referred to by the same term
Look up tense in Wiktionary, the free dictionary. Tense may refer to: Tense, a state of muscle contraction Grammatical tense, a property of verbs indicating
Tense
Representation of mechanical stress at every point within a deformed 3D object
Cauchy stress tensor (symbol σ {\displaystyle {\boldsymbol {\sigma }}} , named after Augustin-Louis Cauchy), also called true stress tensor or simply stress
Cauchy_stress_tensor
Stress-strain relation in a linear elastic material
elasticity tensor is a fourth-rank tensor describing the stress-strain relation in a linear elastic material. Other names are elastic modulus tensor and stiffness
Elasticity_tensor
Tensor Tech is a Taiwanese space technology company. Tensor Tech founder Thomas Yen claims that the initial motor design was inspired by a futuristic
Tensor_Tech
Mathematical wave functions
Tensor networks or tensor network states are a class of variational wave functions used in the study of many-body quantum systems and fluids. Tensor networks
Tensor_network
Conservation law
The Fradkin tensor, or Jauch-Hill-Fradkin tensor, named after Josef-Maria Jauch and Edward Lee Hill and David M. Fradkin, is a conservation law used in
Fradkin_tensor
Structure defining distance on a manifold
metric field on M consists of a metric tensor at each point p of M that varies smoothly with p. A metric tensor g is positive-definite if g ( v , v ) >
Metric_tensor
Universal construction in multilinear algebra
the tensor algebra of a vector space V, denoted T(V) or T•(V), is the algebra of tensors on V (of any order) with multiplication being the tensor product
Tensor_algebra
Tensor equal to the negative of any of its transpositions
tensor is antisymmetric with respect to its first three indices. If a tensor changes sign under exchange of each pair of its indices, then the tensor
Antisymmetric_tensor
Physical quantity that expresses internal forces in a continuous material
the first and second Piola–Kirchhoff stress tensors, the Biot stress tensor, and the Kirchhoff stress tensor. Bending Compressive strength Critical plane
Stress_(mechanics)
Tensor used in general relativity
differential geometry, the Einstein tensor (named after Albert Einstein; also known as the trace-reversed Ricci tensor) is used to express the curvature
Einstein_tensor
Process in algebra
In multilinear algebra, a tensor decomposition is any scheme for expressing a "data tensor" (M-way array) as a sequence of elementary operations acting
Tensor_decomposition
Topics referred to by the same term
In differential geometry, the term curvature tensor may refer to: the Riemann curvature tensor of a Riemannian manifold — see also Curvature of Riemannian
Curvature_tensor
Object in differential geometry
The contorsion tensor (or contortion tensor) in differential geometry is the difference between a connection with and without torsion in it. It commonly
Contorsion_tensor
Operation in mathematics
In multilinear algebra, a tensor contraction is an operation on a tensor that arises from the canonical pairing of a vector space and its dual. This example
Tensor_contraction
Type of monoidal category
collection of tensors. There are several equivalent alternative ways of defining modular tensor categories. One definition is as follows: a modular tensor category
Modular_tensor_category
Generalization of tensor fields
differential geometry, a tensor density or relative tensor is a generalization of the tensor field concept. A tensor density transforms as a tensor field when passing
Tensor_density
Electromagnetic stress
The Maxwell stress tensor (named after James Clerk Maxwell) is a symmetric second-order tensor in three dimensions that is used in classical electromagnetism
Maxwell_stress_tensor
In mathematics, the tensor representations of the general linear group are those that are obtained by taking finitely many tensor products of the fundamental
Tensor_representation
Machine learning software library
May 2019, Google announced TensorFlow Graphics for deep learning in computer graphics. In May 2016, Google announced its Tensor processing unit (TPU), an
TensorFlow
Tensor in general relativity
In mathematics, a Killing tensor or Killing tensor field is a generalization of a Killing vector, for symmetric tensor fields instead of just vector fields
Killing_tensor
Tensor invariant under permutations of vectors it acts on
In mathematics, a symmetric tensor is an unmixed tensor that is invariant under a permutation of its vector arguments: T ( v 1 , v 2 , … , v r ) = T (
Symmetric_tensor
American skateboarding truck company
Tensor Trucks is an American skateboarding truck company founded and designed by professional skateboarder, Rodney Mullen, in 2000. Tensor's parent company
Tensor_Trucks
Topics referred to by the same term
A tensor muscle has the function of tensing (stretching or tightening) a part and may refer to: Tensor fasciae latae muscle Tensor tympani muscle Tensor
Tensor_muscle
Method of constructing an image from multiple viewpoints
In computer vision, the trifocal tensor (also tritensor) is a 3×3×3 array of numbers (i.e., a tensor) that incorporates all projective geometric relationships
Trifocal_tensor
Abbreviation in the fields of special and general relativity
relativity, a four-tensor is an abbreviation for a tensor in a four-dimensional spacetime. General four-tensors are usually written in tensor index notation
Four-tensor
Cotton tensor on a pseudo-Riemannian manifold of dimension n is a third-order tensor concomitant of the metric tensor. The vanishing of the Cotton tensor for
Cotton_tensor
Software library for LLM inference
UINT64 // starting position within the tensor_data block, relative to the start of the block // (n+1)-th tensor ... Llama.cpp supports many large language
Llama.cpp
Coordinate-free definition of a tensor
mathematics, the modern component-free approach to the theory of a tensor views a tensor as an abstract object, expressing some definite type of multilinear
Tensor_(intrinsic_definition)
Measure of the curvature of a pseudo-Riemannian manifold
Riemann curvature tensor, the Weyl tensor expresses the tidal force that a body feels when moving along a geodesic. The Weyl tensor differs from the Riemann
Weyl_tensor
Operation that pairs a left and a right R-module into an abelian group
universal property of the tensor product of vector spaces extends to more general situations in abstract algebra. The tensor product of an algebra and
Tensor_product_of_modules
Class of mathematical software
similar to MATLAB and GNU Octave, but designed specifically for tensors. Tensor is a tensor package written for the Mathematica system. It provides many
Tensor_software
Tensor operator generalizes the notion of operators which are scalars and vectors
graphics, a tensor operator generalizes the notion of operators which are scalars and vectors. A special class of these are spherical tensor operators which
Tensor_operator
Pronunciation of a sound with greater muscular effort than normal
see IPA § Brackets and transcription delimiters. In phonology, tenseness or tensing is, most generally, the pronunciation of a sound with greater muscular
Tenseness
Tensor in general relativity
general relativity, the tidal tensor is generalized by the Riemann curvature tensor. In the weak-field limit, the tidal tensor is given by the components
Tidal_tensor
Concept in mathematics
In mathematics, the tensor bundle of a manifold is the direct sum of all tensor products of the tangent bundle and the cotangent bundle of that manifold
Tensor_bundle
Topics referred to by the same term
Tensor category (within the subfield category theory of mathematics) may refer to: General monoidal categories; or More specifically symmetric monoidal
Tensor_category
Topics referred to by the same term
Tensing may refer to: Tenseness (or tensing), a concept in the linguistic fields of phonetics and phonology Ten Sing, a Christian youth program Tenzing
Tensing
Scalar measure of the rotational inertia with respect to a fixed axis of rotation
inertia tensor of a body calculated at its center of mass, and R {\displaystyle \mathbf {R} } be the displacement vector of the body. The inertia tensor of
Moment_of_inertia
Topics referred to by the same term
equivalence). It may refer to: Tensor product of vector spaces, an operation on vector spaces (the original tensor product) Tensor product of modules, the same
Tensor product (disambiguation)
Tensor_product_(disambiguation)
Tensor having both covariant and contravariant indices
In tensor analysis, a mixed tensor is a tensor which is neither strictly covariant nor strictly contravariant; at least one of the indices of a mixed
Mixed_tensor
Muscle of the soft palate
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 palate
Tensor_veli_palatini_muscle
Antisymmetric permutation object acting on tensors
independent of any metric tensor and coordinate system. Also, the specific term "symbol" emphasizes that it is not a tensor because of how it transforms
Levi-Civita_symbol
GPU microarchitecture designed by Nvidia
Ampere and Hopper architectures, 64. The Hopper architecture provides a Tensor Memory Accelerator (TMA), which supports bidirectional asynchronous memory
Hopper_(microarchitecture)
Tensor related to gradients
structure tensor is often used in image processing and computer vision. For a function I {\displaystyle I} of two variables p = (x, y), the structure tensor is
Structure_tensor
Proposed theories of gravity
Minkowski metric. g μ ν {\displaystyle g_{\mu \nu }\;} is a tensor, usually the metric tensor. These have signature (−,+,+,+). Partial differentiation is
Alternatives to general relativity
Alternatives_to_general_relativity
geometry, a Codazzi tensor (named after Delfino Codazzi) is a symmetric 2-tensor whose covariant derivative is also symmetric. Such tensors arise naturally
Codazzi_tensor
Decomposition in multilinear algebra
multilinear algebra, the tensor rank decomposition or rank-R decomposition is the decomposition of a tensor as a sum of R rank-1 tensors, where R is minimal
Tensor_rank_decomposition
Object in differential geometry
differential geometry, the torsion tensor is a tensor that is associated to any affine connection. The torsion tensor is a bilinear map of two input vectors
Torsion_tensor
Spinning motion in theoretical physics
theoretical physics, the spin tensor is a quantity used to describe the rotational motion of particles in spacetime. The spin tensor has application in general
Spin_tensor
Concept in multilinear algebra and representation theory
and representation theory, the principal invariants of the second rank tensor A {\displaystyle \mathbf {A} } are the coefficients of the characteristic
Invariants_of_tensors
Tensor that describes the 4D geometry of spacetime
manifold M {\displaystyle M} and the metric tensor is given as a covariant, second-degree, symmetric tensor on M {\displaystyle M} , conventionally denoted
Metric tensor (general relativity)
Metric_tensor_(general_relativity)
Medical condition
Tonic tensor tympani syndrome is a hypothesized syndrome of the tensor tympani muscle. The tensor tympani muscle is one of the two middle ear muscles
Tonic_tensor_tympani_syndrome
Mathematical operation on matrices
specialization of the tensor product (which is denoted by the same symbol) from vectors to matrices and gives the matrix of the tensor product linear map
Kronecker_product
Specification of a derivative along a tangent vector of a manifold
fields) and to arbitrary tensor fields, in a unique way that ensures compatibility with the tensor product and trace operations (tensor contraction). Given
Covariant_derivative
Mathematical model for describing material deformation under stress
deformation tensors. In 1839, George Green introduced a deformation tensor known as the right Cauchy–Green deformation tensor or Green's deformation tensor (the
Finite_strain_theory
Representation of a tensor in Euclidean space
a Cartesian tensor uses an orthonormal basis to represent a tensor in a Euclidean space in the form of components. Converting a tensor's components from
Cartesian_tensor
Hypothetical elementary particle that mediates gravity
stress–energy tensor, a second-order tensor (compared with electromagnetism's spin-1 photon, the source of which is the four-current, a first-order tensor). Additionally
Graviton
2025 Android smartphones developed by Google
needed] The custom Google Tensor G5 System-on-Chip (SoC) is a noticeable upgrade over the Tensor G4 and other previous Tensor processors. Instead of using
Pixel_10
Visual aid used in mathematics
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, or
Tensor_glyph
Image upscaling technology by Nvidia
2024-06-13. "On Tensors, Tensorflow, And Nvidia's Latest 'Tensor Cores'". tomshardware.com. 2017-04-11. Retrieved 2020-04-08. "Tensor Core DL Performance
Deep_Learning_Super_Sampling
Tensor used in continuum mechanics
The viscous stress tensor is a tensor used in continuum mechanics to model the part of the stress at a point within some material that can be attributed
Viscous_stress_tensor
Tensor product of algebras over a field; itself another algebra
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 the
Tensor_product_of_algebras
Algebra associated to any vector space
alternating tensor subspace. On the other hand, the image A ( T ( V ) ) {\displaystyle {\mathcal {A}}(\mathrm {T} (V))} is always the alternating tensor graded
Exterior_algebra
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 product
Tensor_product_bundle
Orientational order parameter
liquid phase. The Q {\displaystyle \mathbf {Q} } tensor is a second-order, traceless, symmetric tensor and is defined by Q = S ( n ⊗ n − 1 3 I ) + R (
Q-tensor
Covariant derivative of the metric tensor
In mathematics, the nonmetricity tensor in differential geometry is the covariant derivative of the metric tensor. It can be interpreted as the failure
Nonmetricity_tensor
specifically category theory, a pseudo-tensor category is a generalization of a symmetric monoidal category (also known as a tensor category) introduced by A. Beilinson
Pseudo-tensor_category
Concept in mathematics
In mathematics, the tensor product of representations is a tensor product of vector spaces underlying representations together with the factor-wise group
Tensor product of representations
Tensor_product_of_representations
{1}}}} be the second order identity tensor. Then the derivative of this tensor with respect to a second order tensor A {\displaystyle {\boldsymbol {A}}}
Tensor derivative (continuum mechanics)
Tensor_derivative_(continuum_mechanics)
Mathematical model for describing material deformation under stress
tensors used in finite strain theory, e.g. the Lagrangian finite strain tensor E {\displaystyle \mathbf {E} } , and the Eulerian finite strain tensor
Infinitesimal_strain_theory
energy–momentum tensor and the Petrov classification of the Weyl tensor. There are various methods of classifying these tensors, some of which use tensor invariants
Mathematics of general relativity
Mathematics_of_general_relativity
2024 Android smartphones developed by Google
phones are powered by the fourth-generation Google Tensor system-on-chip (SoC), marketed as "Google Tensor G4", and the Titan M2 security co-processor. The
Pixel_9
Theory of brain function
a network of tensors. Sensory input = covariant tensor Motor output = contravariant tensor Cerebellar neuronal network = metric tensor that transforms
Tensor_network_theory
time derivative of the angular displacement tensor, which is a second rank skew-symmetric tensor. This tensor Ω will have n(n−1)/2 independent components
Angular_velocity_tensor
Theory in physics with scalars and tensors both describing a force or interaction
In theoretical physics, a scalar–tensor theory is a field theory that includes both a scalar field and a tensor field to represent a certain interaction
Scalar–tensor_theory
Tensor describing the magnetic permeability of ferrites
The Polder tensor is a tensor introduced by Dirk Polder in 1949 for the description of magnetic permeability of ferrites. The tensor notation needs to
Polder_tensor
Differentiable manifold with nondegenerate metric tensor
T_{p}M} . Given a metric tensor g on an n-dimensional real manifold, the quadratic form q(x) = g(x, x) associated with the metric tensor applied to each vector
Pseudo-Riemannian_manifold
Artificial intelligence system for discovering matrix multiplication algorithms
reduces a tensor representing matrix multiplication. The goal of the game is to find a low-rank decomposition of the matrix multiplication tensor, corresponding
AlphaTensor
Method of utilizing water in magnetic resonance imaging
more gradient directions, sufficient to compute the diffusion tensor. The diffusion tensor model is a rather simple model of the diffusion process, assuming
Diffusion-weighted magnetic resonance imaging
Diffusion-weighted_magnetic_resonance_imaging
Physical quantities taking values at each point in space and time
example of a vector field. Strain tensor, representing the deformation of matter caused by stress, is an example of a tensor field. Field theories, mathematical
Field_(physics)
Graphical notation for multilinear algebra calculations
essentially the composition of functions. In the language of tensor algebra, a particular tensor is associated with a particular shape with many lines projecting
Penrose_graphical_notation
Ring produced from two fields
In mathematics, the tensor product of two fields is their tensor product as algebras over a common subfield. If no subfield is explicitly specified, the
Tensor_product_of_fields
Thigh muscle
lateralis. The term tensor vastus intermedius was given by Grob et al. in 2016, although the structure had been reported previously. The tensor vastus intermedius
Tensor vastus intermedius muscle
Tensor_vastus_intermedius_muscle
TENSOR
TENSOR
TENSOR
TENSOR
Male
Finnish
Finnish name YLIJUMALA means "over-god." In mythology, this is a title belonging to Ukko.
Girl/Female
Indian, Sanskrit
A Little Swan
Surname or Lastname
English
English : from the agent derivative of Middle English stampen ‘to stamp’; probably an occupational name for a worker at a mint, someone who stamped coins.
Boy/Male
Arabic, Muslim
This was the Name of the Most Important Man in the Baytal Hikmah (House of Wisdom)
Girl/Female
Norse
Swan or warrior.
Boy/Male
English Greek
meaning 'hear; listen.
Boy/Male
Arabic, Australian, Farsi, Iranian, Muslim, Parsi
Worthy
Girl/Female
Arabic, Muslim
Pine Tree
Boy/Male
English American
From the roe deer meadow.
Boy/Male
Hindu
Cloud, Given by water
TENSOR
TENSOR
TENSOR
TENSOR
TENSOR
n.
A muscle that stretches a part, or renders it tense.
n.
The ratio of one vector to another in length, no regard being had to the direction of the two vectors; -- so called because considered as a stretching factor in changing one vector into another. See Versor.