Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun Plural form of
tensor .  verb Thirdperson singular simple present indicative form of
tensor .
Etymologies
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Examples

Equations can take many forms; the fact that they both use tensors is no spooky coincidence.
“On the Origin of Gravity and the Laws of Newton” by Erik Verlinde 2010

Equations can take many forms; the fact that they both use tensors is no spooky coincidence.

Oh, by the way, a spinoff of the tensors project is going to be — finally — a nice, clean, consistent handling of vector analysis.

For those familiar with tensors, it should be clear that the metric tensor is actually a tensor field (a tensor is assigned to each point of our mathematical space).
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009

Manipulating tensors has been a classic symbolic computation activity for more than 40 years.

Yes, abstract index notation for tensors uses indices to indicate the type of tensor, rather than to indicate components in a particular basis.
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009

Yes, abstract index notation for tensors uses indices to indicate the type of tensor, rather than to indicate components in a particular basis.
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009

Metric tensors are used to define the angle between and length of tangent vectors (somewhat analogous to the dot product of vectors in Euclidean space)
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009

Metric tensors are used to define the angle between and length of tangent vectors (somewhat analogous to the dot product of vectors in Euclidean space)
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009

For those familiar with tensors, it should be clear that the metric tensor is actually a tensor field (a tensor is assigned to each point of our mathematical space).
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009
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