In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects associated with a vector space. Tensors may map between different objects such …

Jan 26, 2025 · In coordinates, a tensor is a multi-dimensional, rectangular scheme of numbers: a single number as a scalar, an array as a vector, a matrix as a linear function, a cube as a bilinear algorithm, …

Jul 23, 2025 · A tensor can be thought of as a multi-dimensional array, similar to a matrix but with an arbitrary number of dimensions. Tensors can hold various data types, including integers, floating …

These form higher-order tensors, with an order 4 tensor being made up of tensor products between 4 vectors. Because of their mathematical properties and scalability, tensors have a huge variety of …

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Dec 3, 2025 · Tensors are generalizations of scalars (that have no indices), vectors (that have exactly one index), and matrices (that have exactly two indices) to an arbitrary number of indices.

The term tensor is sometimes used as a shorthand for tensor field. A tensor field expresses the concept of a tensor that varies from point to point on the manifold.

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Illustrated definition of Tensor: The general idea of a tensor is an array of values: A 0-dimensional tensor is a single value, called...