User:Non Qui/Books/Tensorial Algebra




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Tensorial Algebra

25 à3 2014

Glossary of tensor theory

Multilinear algebra

User:Prof McCarthy/Multilinear algebra

Berezin integral

Bilinear map

Binet–Cauchy identity

Bivector

CP decomposition

Cubic form

Discrete exterior calculus

Einstein notation

Exterior algebra

Grassmann–Cayley algebra

Higher-order singular value decomposition

Homogeneous polynomial

HOSVD-based canonical form of TP functions and qLPV models

Multilinear subspace learning

User:Prof McCarthy/Multivector

Tensor product of algebras

Tensor product of modules

Trace diagram

Bilinear form

Cartan–Dieudonné theorem

Covariance operator

Degenerate form

Dot product

Inner product space

Isotropic quadratic form

Symmetric bilinear form

Symplectic vector space

Convolution

Cross product

Cross-correlation

Dirichlet convolution

Frölicher–Nijenhuis bracket

Lagrange bracket

Lie bracket of vector fields

Matrix multiplication

Negacyclic convolution

Nijenhuis–Richardson bracket

Outer product

Paraproduct

Poisson bracket

Schouten–Nijenhuis bracket

Seven-dimensional cross product

Tensor product

Palatini identity

Raising and lowering indices

Tensor

Abstract index notation

Angular velocity

Antisymmetric tensor

Application of tensor theory in engineering

Axiality and rhombicity

Bach tensor

Calculus of moving surfaces

Cartesian tensor

Cauchy stress tensor

Characteristic polynomial

Proofs involving covariant derivatives

Codazzi tensor

Contorsion tensor

Cotton tensor

Covariance and contravariance of vectors

Covariant transformation

Deformation (mechanics)

Diffusion MRI

Dyadics

Electromagnetic stress–energy tensor

Electromagnetic tensor

Finite strain theory

Four-tensor

Fractional anisotropy

Gyration tensor

Holor

Invariants of tensors

Jordan and Einstein frames

Kulkarni–Nomizu product

Laguerre form

Lanczos tensor

Levi-Civita symbol

Lisp Algebraic Manipulator

List of moment of inertia tensors

Manifest covariance

Matricization

Maxwell stress tensor

Metric tensor

Mixed tensor

Penrose graphical notation

Plebanski tensor

Pseudotensor

Pullback (differential geometry)

Saint-Venant's compatibility condition

Scalar-tensor theory

Schouten tensor

Schur–Weyl duality

Segre classification

SHEEP (symbolic computation system)

Stress–energy–momentum pseudotensor

Structure tensor

Symmetric tensor

Tensor (intrinsic definition)

Tensor product of quadratic forms

Tensor software

Tensor-hom adjunction

Closed and exact differential forms

Complex differential form

De Rham cohomology

Differential ideal

Exterior bundle

Exterior derivative

Hodge dual

One-form

Positive form

Solder form

Stokes' theorem

Two-form

Vector-valued differential form

Volume form

Metric signature

Curvilinear coordinates

Tensors in curvilinear coordinates

Friedmann–Lemaître–Robertson–Walker metric

Lemaître–Tolman metric

Peres metric

Reissner–Nordström metric

Weyl−Lewis−Papapetrou coordinates

Bel decomposition

Bel–Robinson tensor

Belinfante–Rosenfeld stress–energy tensor

Carminati–McLenaghan invariants

Curvature invariant (general relativity)

Einstein tensor

Electrogravitic tensor

Gravitational energy

Kretschmann scalar

Magnetogravitic tensor

Metric tensor (general relativity)

Petrov classification

Ricci curvature

Ricci decomposition

Riemann curvature tensor

Topogravitic tensor

Weyl tensor

Clifford algebra

Algebra of physical space

Classification of Clifford algebras

Generalized Clifford algebra

Geometric algebra

Higher-dimensional gamma matrices

Dirac equation in curved spacetime

Dirac equation in the algebra of physical space

Feynman slash notation

Fierz identity

Killing spinor

Majorana equation

Orientation entanglement

Plate trick

Pure spinor

Rarita–Schwinger equation

Spin connection

Spin group

Spin representation

Spin spherical harmonics

Spinor field

Spinors in three dimensions

Tangloids

Triality

Van der Waerden notation

Nonlinear Dirac equation

Two-body Dirac equations

Quaternion

3-sphere

Hurwitz quaternion order

Classical Hamiltonian quaternions

Dicyclic group

Dual quaternion

Frobenius theorem (real division algebras)

Generalized quaternion interpolation

Hurwitz quaternion

Hyperbolic quaternion

Quaternionic analysis

Quaternionic projective space

Quaternionic structure

Quaternionic vector space

Quaternions and spatial rotation

2 × 2 real matrices

Rotations in 4-dimensional Euclidean space

Slerp

Split-quaternion

Versor

History of quaternions

Binary polyhedral group

Binary cyclic group

Binary dihedral group

Binary icosahedral group

Binary octahedral group

Binary tetrahedral group

Outermorphism

Blade (geometry)

Comparison of vector algebra and geometric algebra

Conformal geometric algebra

Gauge theory gravity

Plane of rotation

Riemann–Silberstein vector

Rotor (mathematics)

Semi-orthogonal matrix

Universal geometric algebra

Chevalley–Iwahori–Nagata theorem

Chevalley–Shephard–Todd theorem

The Classical Groups

Differential invariant

Evectant

Geometric invariant theory

Glossary of invariant theory

Hilbert's basis theorem

Hilbert's fourteenth problem

Hilbert's syzygy theorem

Hilbert–Mumford criterion

Hodge bundle

Invariant estimator

Invariant of a binary form

Invariant polynomial

Kempf–Ness theorem

Kostant polynomial

Littlewood–Richardson rule

Modular invariant theory

Molien series

Ring of symmetric functions

Schur polynomial

Semi-invariants of quivers

Standard monomial theory

Young–Deruyts development

Symmetric function

Quasisymmetric function

Symmetric polynomial

Adams operation

Alternating polynomial

Bender–Knuth involution

Complete homogeneous symmetric polynomial

Elementary symmetric polynomial

Giambelli's formula

Hall–Littlewood polynomials

Maclaurin's inequality

Monk's formula

Newton polygon

Newton's inequalities

Pieri's formula

Plethysm

Polykay

Power sum symmetric polynomial

Ringel–Hall algebra

Robinson–Schensted–Knuth correspondence

Schubert polynomial

Stanley symmetric function

Symmetric product of an algebraic curve

Symmetrization

Vandermonde polynomial

Connection (mathematics)

Affine connection

Cartan connection

Cartan formalism (physics)

Christoffel symbols

Conformal connection

Connection (affine bundle)

Connection (algebraic framework)

Connection (composite bundle)

Connection (fibred manifold)

Connection (principal bundle)

Connection (vector bundle)

Connection form

Connector (mathematics)

Covariant derivative

Development (differential geometry)

Ehresmann connection

Exterior covariant derivative

Fundamental theorem of Riemannian geometry

Gauge covariant derivative

Gauss–Manin connection

Grothendieck connection

Holonomy

Horizontal bundle

Horizontal form

Levi-Civita connection

N-connected

Projective connection

Schild's ladder

Simply connected space

Vertical bundle

Curvature of a measure

Curvature of Riemannian manifolds

Darboux frame

Frenet–Serret formulas

Gauss–Codazzi equations

Gaussian curvature

Levi-Civita parallelogramoid

Mean curvature

Menger curvature

Non-positive curvature

Principal curvature

Radius of curvature (applications)

Radius of curvature (mathematics)

Prescribed Ricci curvature problem

Prescribed scalar curvature problem

Scalar curvature

Second fundamental form

Hamiltonian mechanics

Dynamical systems theory

Hamilton–Jacobi equation

Canonical transformation

Hamiltonian optics

Geometric mechanics