What is a Tensor?
A Tensor is a mathematical object similar to, but more general than, a vector and often represented by an array of components that describe functions relevant to coordinates of a space. Put simply, a Tensor is an array of numbers that transform according to certain rules under a change of coordinates. A Tensor can be defined as a single point, a collection of isolated points, or it may be defined as a continuum of points in which elements of the tensor are functions of position, and the Tensor forms what is known as a Tensor field. This means that rather than being represented by a single point, the tensor is defined at multiple points together in a space.
Orders of Tensors
Tensors and Machine Learning
As a cornerstone of machine learning system libraries like Tensorflow, Tensors are used by neural networks as components to describe and calculate phenomena. For example, a machine learning algorithm might use Tensors of order two, also called vectors, in calculating the descriptive characteristics of an electric field. As any point in the field is defined by both magnitude and direction, a vector, rather than a scalar, is the appropriate form of Tensor to be applied.