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TENSOR PRODUCT

  • Tensor product
  • Mathematical operation on vector spaces

    the tensor product of v {\displaystyle v} and w {\displaystyle w} . An element of V ⊗ W {\displaystyle V\otimes W} is a tensor, and the tensor product of

    Tensor product

    Tensor_product

  • Tensor product of modules
  • Operation that pairs a left and a right R-module into an abelian group

    In mathematics, the tensor product of modules is a construction that allows arguments about bilinear maps (e.g. multiplication) to be carried out in terms

    Tensor product of modules

    Tensor_product_of_modules

  • Tensor
  • Algebraic object with geometric applications

    (electromagnetic tensor, Maxwell tensor, permittivity, magnetic susceptibility, etc.), and general relativity (stress–energy tensor, curvature tensor, etc.). In

    Tensor

    Tensor

    Tensor

  • Tensor product of graphs
  • Operation in graph theory

    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 vertices

    Tensor product of graphs

    Tensor product of graphs

    Tensor_product_of_graphs

  • Topological tensor product
  • Tensor product constructions for topological vector spaces

    topological tensor product of two topological vector spaces. For Hilbert spaces or nuclear spaces there is a simple well-behaved theory of tensor products (see

    Topological tensor product

    Topological_tensor_product

  • Tensor product of representations
  • 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

  • Kronecker product
  • Mathematical operation on matrices

    product, sometimes denoted by ⊗, is an operation on two matrices of arbitrary size resulting in a block matrix. It is a specialization of the tensor product

    Kronecker product

    Kronecker_product

  • Dyadics
  • Second order tensor in vector algebra

    mathematics, specifically multilinear algebra, a dyadic or dyadic tensor is a second-order tensor, written in a notation that fits in with vector algebra. There

    Dyadics

    Dyadics

  • Tensor product of fields
  • 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

    Tensor_product_of_fields

  • Tensor product of Hilbert spaces
  • Tensor product space endowed with a special inner product

    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 two Hilbert

    Tensor product of Hilbert spaces

    Tensor_product_of_Hilbert_spaces

  • Projective tensor product
  • projective tensor product of two locally convex topological vector spaces is a natural topological vector space structure on their tensor product. Namely

    Projective tensor product

    Projective_tensor_product

  • Tensor product of algebras
  • 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

    Tensor_product_of_algebras

  • Product (mathematics)
  • Mathematical form

    have a tensor product. Other kinds of products in linear algebra include: Hadamard product Kronecker product The product of tensors: Wedge product or exterior

    Product (mathematics)

    Product_(mathematics)

  • Tensor field
  • 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 field

    Tensor_field

  • Tensor product (disambiguation)
  • Topics referred to by the same term

    Tensor product of Hilbert spaces, endowed with a special inner product as to remain a Hilbert space Other topological tensor products Tensor product of

    Tensor product (disambiguation)

    Tensor_product_(disambiguation)

  • Derived tensor product
  • differential graded algebra A over a commutative ring R, the derived tensor product functor is − ⊗ A L − : D ( M A ) × D ( A M ) → D ( R M ) {\displaystyle

    Derived tensor product

    Derived_tensor_product

  • Injective tensor product
  • injective tensor product is a particular topological tensor product, a topological vector space (TVS) formed by equipping the tensor product of the underlying

    Injective tensor product

    Injective_tensor_product

  • Tensor (machine learning)
  • 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_(machine_learning)

  • Metric 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

    Metric_tensor

  • Tensor product bundle
  • 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

    Tensor_product_bundle

  • Exterior algebra
  • Algebra associated to any vector space

    }_{i_{r+p}}.} The components of this tensor are precisely the skew part of the components of the tensor product s ⊗ t, denoted by square brackets on the

    Exterior algebra

    Exterior algebra

    Exterior_algebra

  • Ricci calculus
  • 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

    Ricci_calculus

  • Tensor algebra
  • Universal construction in multilinear algebra

    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_algebra

  • Tensor contraction
  • 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

    Tensor_contraction

  • Stress–energy tensor
  • 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

    Stress–energy tensor

    Stress–energy_tensor

  • Tensor product network
  • A tensor product network, in artificial neural networks, is a network that exploits the properties of tensors to model associative concepts such as variable

    Tensor product network

    Tensor_product_network

  • Inductive tensor product
  • Projective tensor product Tensor product of Hilbert spaces – Tensor product space endowed with a special inner product Topological tensor product – Tensor product

    Inductive tensor product

    Inductive_tensor_product

  • Tensor density
  • 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

    Tensor_density

  • Tensor (intrinsic definition)
  • 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)

    Tensor_(intrinsic_definition)

  • Electromagnetic 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

    Electromagnetic tensor

    Electromagnetic_tensor

  • Von Neumann algebra
  • *-algebra of bounded operators on a Hilbert space

    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 product

    Von Neumann algebra

    Von_Neumann_algebra

  • Smash product
  • Combination of pointed topological spaces

    smash product as a kind of tensor product in an appropriate category of pointed spaces. Adjoint functors make the analogy between the tensor product and

    Smash product

    Smash_product

  • Vector space
  • Algebraic structure in linear algebra

    with the tensor product ⊗, much the same way as with the tensor product of two vector spaces introduced in the above section on tensor products. In general

    Vector space

    Vector space

    Vector_space

  • Dot product
  • Algebraic operation on coordinate vectors

    between a tensor of order n {\displaystyle n} and a tensor of order m {\displaystyle m} is a tensor of order n + m − 2 {\displaystyle n+m-2} (more generally

    Dot product

    Dot_product

  • Ricci curvature
  • 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

    Ricci curvature

    Ricci_curvature

  • Superalgebra
  • Algebraic structure used in theoretical physics

    ungraded tensor product (except that the result is graded). However, in general, the super tensor product is distinct from the tensor product of A {\displaystyle

    Superalgebra

    Superalgebra

  • Associative algebra
  • Ring that is also a vector space or a module

    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 for more

    Associative algebra

    Associative_algebra

  • Tensor–hom adjunction
  • 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

    Tensor–hom_adjunction

  • Monoidal category
  • Category admitting tensor products

    which ensure that all the relevant diagrams commute. The ordinary tensor product makes vector spaces, abelian groups, R-modules, or R-algebras into monoidal

    Monoidal category

    Monoidal_category

  • Symmetric 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

    Symmetric_tensor

  • Outer product
  • Vector operation

    The outer product of tensors is also referred to as their tensor product, and can be used to define the tensor algebra. The outer product contrasts with:

    Outer product

    Outer_product

  • Clifford algebra
  • Algebra based on a vector space with a quadratic form

    generated by V may be written as the tensor algebra ⨁n≥0 V ⊗ ⋯ ⊗ V, that is, the direct sum of the tensor product of n copies of V over all n. Therefore

    Clifford algebra

    Clifford_algebra

  • Pierre Deligne
  • Belgian mathematician

    Fourier–Deligne transform Deligne cohomology Deligne motive Deligne tensor product of abelian categories (denoted ⊠ {\displaystyle \boxtimes } ) Deligne's

    Pierre Deligne

    Pierre Deligne

    Pierre_Deligne

  • Graph product
  • Binary operation on graphs

    below for the number of edges in a product also may fail when including self-loops. For example, the tensor product of a single vertex self-loop with itself

    Graph product

    Graph_product

  • Cyclic group
  • Mathematical group that can be generated as the set of powers of a single element

    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. So we can

    Cyclic group

    Cyclic group

    Cyclic_group

  • Riemann curvature tensor
  • 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

    Riemann_curvature_tensor

  • Complexification
  • Topic in mathematics

    subscript, R {\displaystyle \mathbb {R} } , on the tensor product indicates that the tensor product is taken over the real numbers (since V {\displaystyle

    Complexification

    Complexification

  • Hilbert space
  • Type of vector space in math

    identification of operators with tensor product spaces generalizes to other tensor norms. For example, the injective tensor product H 1 ⊗ ^ ε H 2 {\displaystyle

    Hilbert space

    Hilbert space

    Hilbert_space

  • Abstract index notation
  • Mathematical notation for tensors and spinors

    between tensor factors of type V {\displaystyle V} and those of type V ∗ {\displaystyle V^{*}} . A general homogeneous tensor is an element of a tensor product

    Abstract index notation

    Abstract_index_notation

  • Levi-Civita symbol
  • 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

    Levi-Civita_symbol

  • Schmidt decomposition
  • Process in linear algebra

    refers to a particular way of expressing a vector in the tensor product of two inner product spaces. It has numerous applications in quantum information

    Schmidt decomposition

    Schmidt_decomposition

  • Einstein notation
  • Shorthand notation for tensor operations

    the multiplication. Given a tensor, one can raise an index or lower an index by contracting the tensor with the metric tensor, g μ ν {\displaystyle g_{\mu

    Einstein notation

    Einstein_notation

  • Matrix multiplication
  • Mathematical operation in linear algebra

    Kronecker product or tensor product, the generalization to any size of the preceding Khatri–Rao product and face-splitting product Outer product, also called

    Matrix multiplication

    Matrix multiplication

    Matrix_multiplication

  • Spaces of test functions and distributions
  • Topological vector spaces

    completion of the injective tensor product (which in this case is the identical to the completion of the projective tensor product). Tempered distributions

    Spaces of test functions and distributions

    Spaces_of_test_functions_and_distributions

  • Banach space
  • Normed vector space that is complete

    algebraic tensor product X ⊗ Y {\displaystyle X\otimes Y} equipped with the projective tensor norm, and similarly for the injective tensor product X ⊗ ^ ε

    Banach space

    Banach_space

  • Quantum logic gate
  • Basic circuit in quantum computing

    . The tensor product (or Kronecker product) is used to combine quantum states. The combined state for a qubit register is the tensor product of the constituent

    Quantum logic gate

    Quantum logic gate

    Quantum_logic_gate

  • Metric tensor (general relativity)
  • 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)

  • Clebsch–Gordan coefficients
  • Coefficients in angular momentum eigenstates of quantum systems

    coefficients of total angular momentum eigenstates in an uncoupled tensor product basis. In more mathematical terms, the CG coefficients are used in representation

    Clebsch–Gordan coefficients

    Clebsch–Gordan_coefficients

  • Tensor operator
  • 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

    Tensor operator

    Tensor_operator

  • 3-category
  • by coherent isomorphisms. Introduced by Gray, a Gray tensor product is a replacement of a product of 2-categories that is more convenient for higher category

    3-category

    3-category

  • Glossary of tensor theory
  • of tensor theory. For expositions of tensor theory from different points of view, see: Tensor Tensor (intrinsic definition) Application of tensor theory

    Glossary of tensor theory

    Glossary_of_tensor_theory

  • Vector multiplication
  • Index of articles associated with the same name

    {\displaystyle W} are vector spaces, their tensor product v ⊗ w {\displaystyle v\otimes w} belongs to the tensor product V ⊗ W {\displaystyle V\otimes W} of

    Vector multiplication

    Vector_multiplication

  • Cartesian product of graphs
  • Operation in graph theory

    been used for Cartesian products of graphs, but is now more commonly used for another construction known as the tensor product of graphs. The square symbol

    Cartesian product of graphs

    Cartesian product of graphs

    Cartesian_product_of_graphs

  • Musical isomorphism
  • Isomorphism between the tangent and cotangent bundles of a manifold

    index of an ( r , s ) {\displaystyle (r,s)} tensor gives a ( r − 1 , s + 1 ) {\displaystyle (r-1,s+1)} tensor, while raising an index gives a ( r + 1 ,

    Musical isomorphism

    Musical_isomorphism

  • Trace (linear algebra)
  • Sum of elements on the main diagonal

    models without the need for tensor notation.[non-primary source needed] Trace of a tensor with respect to a metric tensor Characteristic function Field

    Trace (linear algebra)

    Trace_(linear_algebra)

  • Representation theory of finite groups
  • Representations of finite groups, particularly on vector spaces

    distinguished. The first case is a representation of the group product into the tensor product of the corresponding representation spaces. The second case

    Representation theory of finite groups

    Representation_theory_of_finite_groups

  • Fusion rules
  • Tensor product decomposition rules in representation theory

    fusion rules are rules that determine the exact decomposition of the tensor product of two representations of a group into a direct sum of irreducible representations

    Fusion rules

    Fusion_rules

  • Wave function
  • Mathematical description of quantum state

    studied separately. Under such Hamiltonians, any tensor product state evolves into another tensor product state, which essentially means any unentangled

    Wave function

    Wave function

    Wave_function

  • Premonoidal category
  • category in exactly two ways: with the usual categorical product and with the funny tensor product. Given two categories C {\displaystyle C} and D {\displaystyle

    Premonoidal category

    Premonoidal_category

  • Symmetric monoidal category
  • Concept in mathematical category theory

    tensor product is the set theoretic cartesian product, and any singleton can be fixed as the unit object. The category of groups. The tensor product is

    Symmetric monoidal category

    Symmetric_monoidal_category

  • Tensor bundle
  • 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

    Tensor_bundle

  • Representations of classical Lie groups
  • Examples of tensor representations: Not all irreducible representations of G L ( n , C ) {\displaystyle GL(n,\mathbb {C} )} are tensor representations

    Representations of classical Lie groups

    Representations of classical Lie groups

    Representations_of_classical_Lie_groups

  • Vector bundle
  • Mathematical parametrization of vector spaces by another space

    the vector spaces Ex and Fx. The tensor product bundle E ⊗ F is defined in a similar way, using fiberwise tensor product of vector spaces. The Hom-bundle

    Vector bundle

    Vector bundle

    Vector_bundle

  • Koszul complex
  • Construction in homological algebra

    f 1 = ⋯ = f r = 0 {\displaystyle f_{1}=\cdots =f_{r}=0} . It is the tensor product of the r many Koszul complexes for f i = 0 {\displaystyle f_{i}=0}

    Koszul complex

    Koszul_complex

  • Multilinear multiplication
  • In multilinear algebra, applying a map that is the tensor product of linear maps to a tensor is called a multilinear multiplication. Let F {\displaystyle

    Multilinear multiplication

    Multilinear_multiplication

  • Weyl tensor
  • 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

    Weyl_tensor

  • Matrix product state
  • Quantum state of multiple particles represented as complex matrices

    Matrix Product States and Projected Entangled Pair States Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks Tensor Networks

    Matrix product state

    Matrix product state

    Matrix_product_state

  • Bra–ket notation
  • Notation for quantum states

    )}\,.} Two Hilbert spaces V and W may form a third space V ⊗ W by a tensor product. In quantum mechanics, this is used for describing composite systems

    Bra–ket notation

    Bra–ket_notation

  • Product
  • Topics referred to by the same term

    Dot product Cross product Seven-dimensional cross product Triple product, in vector calculus Tensor product Product topology Cap product Cup product Slant

    Product

    Product

  • Ring (mathematics)
  • Algebraic structure with addition and multiplication

    functor.) Let A, B be algebras over a commutative ring R. Then the tensor product of R-modules A ⊗ R B {\displaystyle A\otimes _{R}B} is an R-algebra

    Ring (mathematics)

    Ring_(mathematics)

  • Google Tensor
  • 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

    Google Tensor

    Google_Tensor

  • Category of rings
  • Category whose objects are rings and whose morphisms are ring homomorphisms

    of rings is a symmetric monoidal category with the tensor product of rings ⊗Z as the monoidal product and the ring of integers Z as the unit object. It

    Category of rings

    Category_of_rings

  • Connection (vector bundle)
  • Defines a notion of parallel transport on a bundle

    subspaces of the tensor power, S k E , Λ k E ⊂ E ⊗ k {\displaystyle S^{k}E,\Lambda ^{k}E\subset E^{\otimes k}} , the definition of the tensor product connection

    Connection (vector bundle)

    Connection_(vector_bundle)

  • Einstein tensor
  • 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

    Einstein_tensor

  • Tensor decomposition
  • 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

    Tensor_decomposition

  • Multilinear form
  • Map from multiple vectors to an underlying field of scalars, linear in each argument

    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 ) {\displaystyle

    Multilinear form

    Multilinear_form

  • Strong product of graphs
  • Binary operation in graph theory

    two other products of the same two graphs, the Cartesian product of graphs and the tensor product of graphs. An example of a strong product is the king's

    Strong product of graphs

    Strong product of graphs

    Strong_product_of_graphs

  • Free product of associative algebras
  • over a commutative ring R. Consider their tensor algebra, the direct sum of all possible finite tensor products of A, B; explicitly, T = ⨁ n = 1 ∞ T n {\displaystyle

    Free product of associative algebras

    Free_product_of_associative_algebras

  • Dehn invariant
  • Value determined from a polyhedron

    structure as a tensor gives the Dehn invariant additional properties that are geometrically meaningful. In particular, it has a tensor rank, the minimum

    Dehn invariant

    Dehn_invariant

  • Fock space
  • Multi particle state space

    particles are bosons, the n-particle states are vectors in a symmetrized tensor product of n single-particle Hilbert spaces H. If the identical particles are

    Fock space

    Fock_space

  • Spinor
  • Non-tensorial representation of the spin group

    distinguished from the tensor representations given by Weyl's construction by the weights. Whereas the weights of the tensor representations are integer

    Spinor

    Spinor

    Spinor

  • Direct product
  • Generalization of the Cartesian product

    {\displaystyle \mathbb {R} ^{n}.} The direct product for modules (not to be confused with the tensor product) is very similar to the one that is defined

    Direct product

    Direct_product

  • Pushout (category theory)
  • Most general completion of a commutative square given two morphisms with same domain

    pullback is the limit of a cospan, we can think of the tensor product of rings and the fibered product of rings (see the examples section) as dual notions

    Pushout (category theory)

    Pushout_(category_theory)

  • Antisymmetric tensor
  • 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

    Antisymmetric_tensor

  • Vector calculus
  • Calculus of vector-valued functions

    (p,q)} tensor can be formed by taking a tensor product of a ( p , 0 ) {\displaystyle (p,0)} tensor and a ( 0 , q ) {\displaystyle (0,q)} tensor, which

    Vector calculus

    Vector_calculus

  • Künneth theorem
  • Relates the homology of two objects to the homology of their product

    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 certain tools

    Künneth theorem

    Künneth_theorem

  • Cauchy stress tensor
  • 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

    Cauchy stress tensor

    Cauchy_stress_tensor

  • *-autonomous category
  • Symmetric monoidal closed category equipped with a dualizing object

    A\to \bot } where γ {\displaystyle \gamma } is the symmetry of the tensor product. An object ⊥ {\displaystyle \bot } of the category C {\displaystyle

    *-autonomous category

    *-autonomous_category

  • Mixed tensor
  • 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

    Mixed_tensor

  • Module (mathematics)
  • Generalization of vector spaces from fields to rings

    dually to projective modules. Flat A module is called flat if taking the tensor product of it with any exact sequence of R-modules preserves exactness. Torsionless

    Module (mathematics)

    Module_(mathematics)

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TENSOR PRODUCT

  • Mentor
  • Surname or Lastname

    French

    Mentor

    French : unexplained.English : unexplained.Possibly a respelling of Menter, an unexplained name of German origin.

    Mentor

  • Senior
  • Surname or Lastname

    English (mainly Yorkshire)

    Senior

    English (mainly Yorkshire) : nickname for a peasant who gave himself airs and graces, from Anglo-Norman French segneur ‘lord’ (Latin senior ‘elder’).English and Dutch : distinguishing nickname for the elder of two bearers of the same personal name (for example, a father and son or two brothers), from Latin senior ‘elder’.

    Senior

  • Telfor
  • Boy/Male

    French

    Telfor

    Works in iron.

    Telfor

  • TEODOR
  • Male

    Scandinavian

    TEODOR

    Scandinavian form of Latin Theodorus, TEODOR means "gift of God."

    TEODOR

  • Henson
  • Surname or Lastname

    English

    Henson

    English : patronymic from the personal name Henn(e), a short form of Henry 1, Hayne (see Hain 2), or Hendy.Irish : Anglicized form of Gaelic Ó hAmhsaigh (see Hampson 2).

    Henson

  • Winsor
  • Surname or Lastname

    English

    Winsor

    English : variant of Windsor. This is the spelling used for places so named in Devon and Hampshire.Perhaps also an Americanized spelling of German Winzer.

    Winsor

  • Tenner
  • Surname or Lastname

    German

    Tenner

    German : variant of Tanner 2.English : from Old French teneor, teneur, tenor, ‘holder of a tenement’, hence an equivalent of Tennant.

    Tenner

  • Benson
  • Surname or Lastname

    English

    Benson

    English : patronymic from the medieval personal name Benne, a pet form of Benedict (see Benn).English : habitational name from a place in Oxfordshire named Benson, from Old English Benesingtūn ‘settlement (Old English tūn) associated with Benesa’, a personal name of obscure origin, perhaps a derivative of Bana meaning ‘slayer’.Jewish (Ashkenazic) : patronymic composed of a pet form of the personal name Beniamin (see Bien, Benjamin) + German Sohn ‘son’.Scandinavian : altered form of such names as Bengtsson, Bendtsen, patronymics from Bengt, Bendt, etc., Scandinavian forms of Benedict.

    Benson

  • Stenson
  • Surname or Lastname

    English

    Stenson

    English : patronymic from a reduced form of the personal name Steven.English : habitational name from a place in Derbyshire, recorded in Domesday Book as Steintune, later as Steineston, from the Old Norse personal name Steinn (meaning ‘stone’) + Old English tūn ‘enclosure’, ‘settlement’.Variant of Steenson 2.

    Stenson

  • Enzor
  • Surname or Lastname

    English

    Enzor

    English : variant spelling of Ensor.

    Enzor

  • BENSON
  • Male

    English

    BENSON

    English surname transferred to forename use, BENSON means "son of Ben."

    BENSON

  • Tinson
  • Surname or Lastname

    English

    Tinson

    English : unexplained.

    Tinson

  • Jenson
  • Surname or Lastname

    English

    Jenson

    English : perhaps an altered spelling of Janson.Respelling of Danish, Norwegian, and North German Jensen.

    Jenson

  • Penson
  • Surname or Lastname

    English

    Penson

    English : patronymic from Penn 3 or Paine 1.English : habitational name from Penson in Devon.

    Penson

  • Menser
  • Surname or Lastname

    English

    Menser

    English : probably a variant of Manser.

    Menser

  • Tenison
  • Surname or Lastname

    English

    Tenison

    English : variant of Tennyson.

    Tenison

  • Teodor
  • Boy/Male

    Polish Spanish

    Teodor

    Teodor

  • Ensor
  • Surname or Lastname

    English

    Ensor

    English : habitational name for someone from Edensor in Derbyshire, which derives its name from the genitive case of the Old English personal name Ēadhūn (see Eden 1) + Old English ofer ‘ridge’.

    Ensor

  • MENTOR
  • Male

    Greek

    MENTOR

    (Μέντωρ) Greek name derived from the word menos, MENTOR means "spirit." In mythology, this is the name of the son of Álkimos.

    MENTOR

  • Mensur |
  • Boy/Male

    Muslim

    Mensur |

    Winner

    Mensur |

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Online names & meanings

  • Geoffroy
  • Boy/Male

    French, German

    Geoffroy

    Peace

  • Prayaag
  • Boy/Male

    Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi

    Prayaag

    Place of Sacrifice; Allahabad

  • Neela
  • Girl/Female

    Danish, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sindhi, Tamil, Telugu

    Neela

    Blue / Green Colour

  • Tameem |
  • Boy/Male

    Muslim

    Tameem |

    Perfect, Complete, Generalization

  • Ozier
  • Surname or Lastname

    English

    Ozier

    English : variant spelling of Osier.

  • Trambakeshwar
  • Boy/Male

    Hindu, Indian, Traditional

    Trambakeshwar

    Name of God Shiva and Vishnu

  • Sabeeyah
  • Girl/Female

    Muslim/Islamic

    Sabeeyah

    Baby girl

  • Kunegundy
  • Girl/Female

    Polish

    Kunegundy

    Name of a queen.

  • Mille
  • Surname or Lastname

    French

    Mille

    French : from the Germanic personal name Milo (see Miles 1).English : variant spelling of Mill.Dutch : variant of Miele.

  • BETSY
  • Female

    English

    BETSY

    Pet form of English Elizabeth, BETSY means "God is my oath."

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Other words and meanings similar to

TENSOR PRODUCT

AI search in online dictionary sources & meanings containing TENSOR PRODUCT

TENSOR PRODUCT

  • Tender
  • superl.

    Adapted to excite feeling or sympathy; expressive of the softer passions; pathetic; as, tender expressions; tender expostulations; a tender strain.

  • Senior
  • a.

    More advanced than another in age; prior in age; elder; hence, more advanced in dignity, rank, or office; superior; as, senior member; senior counsel.

  • Tender
  • superl.

    Easily impressed, broken, bruised, or injured; not firm or hard; delicate; as, tender plants; tender flesh; tender fruit.

  • Tensor
  • 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.

  • Tenter
  • n.

    A machine or frame for stretching cloth by means of hooks, called tenter-hooks, so that it may dry even and square.

  • Tender
  • n.

    Any offer or proposal made for acceptance; as, a tender of a loan, of service, or of friendship; a tender of a bid for a contract.

  • Tender
  • v. t.

    To offer in payment or satisfaction of a demand, in order to save a penalty or forfeiture; as, to tender the amount of rent or debt.

  • Senior
  • n.

    One in the fourth or final year of his collegiate course at an American college; -- originally called senior sophister; also, one in the last year of the course at a professional schools or at a seminary.

  • Sensor
  • a.

    Sensory; as, the sensor nerves.

  • Tensure
  • n.

    Tension.

  • Tension
  • a.

    Expansive force; the force with which the particles of a body, as a gas, tend to recede from each other and occupy a larger space; elastic force; elasticity; as, the tension of vapor; the tension of air.

  • Tension
  • a.

    The act of stretching or straining; the state of being stretched or strained to stiffness; the state of being bent strained; as, the tension of the muscles, tension of the larynx.

  • Tensor
  • n.

    A muscle that stretches a part, or renders it tense.

  • Tender
  • v. t.

    To have a care of; to be tender toward; hence, to regard; to esteem; to value.

  • Tender
  • superl.

    Apt to give pain; causing grief or pain; delicate; as, a tender subject.

  • Tensity
  • n.

    The quality or state of being tense, or strained to stiffness; tension; tenseness.

  • Tense
  • a.

    Stretched tightly; strained to stiffness; rigid; not lax; as, a tense fiber.

  • Tension
  • a.

    The force by which a part is pulled when forming part of any system in equilibrium or in motion; as, the tension of a srting supporting a weight equals that weight.

  • Tenor
  • n.

    A person who sings the tenor, or the instrument that play it.