tensor

C3715

concept

A tensor is a multidimensional array of numerical values that generalizes scalars, vectors, and matrices to represent data or linear relationships across multiple dimensions.

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All labels observed (8)

Label	Occurrences
matrix	7
tensor canonical	5
matrix class	3
(0,4)-tensor	1
(1,3)-tensor	1
mathematical tensor	1
pseudotensor	1
tridiagonal matrix	1

Description generation (CDg)

The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.

Instruction

generate a one-sentence description for a given conceptual class.
# Response Format
Return only the sentence: "Description: [one-sentence description of the conceptional class]"

Input

Class: tensor

Generated description

A tensor is a multidimensional array of numerical values that generalizes scalars, vectors, and matrices to represent data or linear relationships across multiple dimensions.

Instances (17)

Instance	Via concept surface
Jacobi matrix	tridiagonal matrix
Riemann curvature tensor	—
Cauchy matrix	matrix class
Levi-Civita symbol	—
Weyl tensor	mathematical tensor
Hadamard matrices surface form: Hadamard matrix	matrix class
stress–energy tensor	—
Toeplitz matrices surface form: Toeplitz matrix	matrix class
Sylvester matrix	matrix
graph Laplacian	matrix
residual maker matrix	matrix
Vandermonde matrix	matrix
Fock matrix	matrix
Jacobian matrix	matrix
Hurwitz matrix	matrix
Piola–Kirchhoff stress tensors surface form: Piola–Kirchhoff stress tensor	—
Ricci curvature tensor	—