What does tensor mean?
A tensor is a mathematical object used to represent quantities that depend on direction, position, or the choice of coordinates. Unlike a single number, a tensor can contain several related components, but those components obey rules that preserve the underlying relationships when the coordinate system changes. This makes tensors essential in physics, particularly in mechanics, electromagnetism, and relativity, and in mathematics, especially differential geometry. Familiar examples include the stress tensor, which describes forces acting within a material, and the metric tensor, which describes distances and angles. The term also has a specialized anatomical use for muscles that remain relatively tense and lengthen when nearby structures lengthen. Although it may sound abstract, the underlying idea is practical: a tensor provides a consistent way to describe physical or mathematical relationships that do not depend on an arbitrary choice of coordinates.
nounIn physics and mathematics, a tensor is a mathematical object whose components transform according to specified rules when the coordinate system changes. In anatomy, the term denotes a muscle that remains relatively tense and lengthens when adjacent structures lengthen.
- A mathematical object or physical quantity whose components transform according to rules when the coordinate system changes.
- A physical quantity, such as stress, momentum, or curvature, represented by such an object.
- An anatomical muscle that is relatively tense and lengthens when adjacent structures lengthen.
"The stress tensor describes how forces are distributed within a material."
"The metric tensor specifies the geometry of a curved spacetime."
"The tensor tympani helps regulate the tension of the eardrum."
The plural is used when referring to multiple tensors or tensor objects.
"The two tensors describe the stress at different points in the material."
Think of a tensor as a rule for how a quantity changes when the coordinates change.
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Where does tensor come from?
The word comes through New Latin from Latin tensor, meaning “a stretcher” or “one who stretches,” a noun formed from tendere, “to stretch.” Latin derivatives based on this root include tension, tendon, tendency, and extension. The mathematical sense developed during the nineteenth century as scientists sought ways to represent direction-dependent physical quantities consistently.
How tensor is actually used
The word is primarily formal and technical. Its mathematical and physical senses dominate modern usage, while the anatomical sense usually appears in compound names such as tensor tympani or tensor veli palatini.
Easily confused with tensor
A sensor detects and measures a physical signal, whereas a tensor represents a mathematical quantity or transformation.
Tension is the state of being stretched or strained, while a tensor is the mathematical object used to represent certain forces or transformations.