A tensor is a mathematical concept that involves several variables and their relationships. Synonyms for the word tensor include vector, matrix, tensorial, and field. A vector is a one-dimensional tensor that represents magnitude and direction. A matrix is a two-dimensional array of numbers or symbols that can be used to represent a tensor. Tensorial refers to the characteristics of a tensor, such as its rank, symmetry, and eigenvectors. A field is a space that assigns a value to each point in space and is used to represent a tensor that varies continuously in space and time. Depending on the context, these synonyms can be used interchangeably or with specific meanings related to the subject area.