Meaning & Definition of word "Tensor"
to
Tensor
/ˈtɛn.sər/
noun:
- 1. A mathematical object that generalizes scalars, vectors, and matrices, and is used to represent linear relations between geometric vectors, scalars, and other tensors.
- Example: In physics, the stress tensor is used to describe the distribution of internal forces within a material.
- 2. A multidimensional array that can represent data in multiple dimensions.
- Example: The neural network model utilized a tensor to manage the inputs and outputs efficiently.
- 3. A tensor product is a construct that combines two tensors to produce a new tensor.
- Example: The tensor product of two matrices results in a new matrix that represents the combined information of both.
Etymology
From Latin 'tensores', meaning 'to stretch'.
Common Phrases and Expressions
tensor calculus:
A branch of mathematics that deals with the manipulation of tensors.
rank of a tensor:
The number of dimensions or axes that the tensor has.
Related Words
scalar:
A single value that is invariant under coordinate transformations.
vector:
A one-dimensional array of values that has both magnitude and direction.
Slang Meanings of tensor
Meaning: Used to refer to someone who is very intense or serious about mathematics.
Example Sentence: He's such a tensor, always analyzing every little detail.