tensors
Matrices with depth
Tensors are mathematical objects that generalize scalars, vectors, and matrices to higher dimensions.
In physics and engineering, tensors describe quantities that transform in specific ways under coordinate changes—stress, strain, and electromagnetic fields are tensor quantities.
In machine learning, tensor usually means a multidimensional array of numbers: The neural network processes tensors of varying shapes.
The word has become common in programming through frameworks like TensorFlow.
Rectangular numerical arrangements
- vectorsDirected magnitude quantities
- scalarsDirection-free numerical values
- linear algebraMathematics of vector spaces
- rankPosition in hierarchy
indices · contraction · transformation · dimension · basis · components · covariant · invariant
Ordered element collections
- multidimensionalHaving many distinct aspects
- TensorFlowMachine learning computation library
- GPUVisual processing hardware
- neural networksLayered computational learning systems
deep learning · operations · broadcasting · reshape · gradients · backpropagation · batch · inference
Pressure, mental or vocal
- strainExcessive stretching force
- inertiaResistance to altered motion
- electromagneticInvolving electric and magnetic fields
- curvatureDeviation from flatness
metric · field · relativity · spacetime · elasticity · deformation · Einstein · gravitation
Below-baseline text markers
- superscriptsCharacters set above the line
- indicesOrganized lists for lookup
- componentsConstituent parts
- coordinateArrange for unified action
matrices
Rectangular numerical arrangements
- vectorsDirected magnitude quantities
- scalarsDirection-free numerical values
- linear algebraMathematics of vector spaces
rank · indices · contraction · transformation · dimension · basis · components · covariant · invariant · eigenvalues
arrays
Ordered element collections
- multidimensionalHaving many distinct aspects
- TensorFlowMachine learning computation library
- GPUVisual processing hardware
neural networks · deep learning · operations · broadcasting · reshape · gradients · backpropagation · batch · inference · parallelization
stress
Pressure, mental or vocal
- strainExcessive stretching force
- inertiaResistance to altered motion
- electromagneticInvolving electric and magnetic fields
curvature · metric · field · relativity · spacetime · elasticity · deformation · Einstein · gravitation · momentum
subscripts
Below-baseline text markers
- superscriptsCharacters set above the line
- indicesOrganized lists for lookup
- componentsConstituent parts
coordinate · contraction · raising · lowering
- mathematicsalgebra, arithmetic, calculus, geometry, number
- Engineering Mathcalculus, algebra, linear algebra, differential equations, matrices
- Spacetime Geometryspacetime, curvature, geodesics, general relativity, manifolds
- tensor algebravectors, scalars, components, dyads, Christoffel symbols
- tensorsindex notation, covariant, contraction, valence, component
- string theorystring theory, superstring theory, superstrings, strings, open strings
tensorsscalars
Direction-free numerical values
constants · real numbers · numbers · invariants · vectors
- tensor tympaniMuscle tensing the eardrum
- tensor fasciae lataeHip abductor and flexor