Explore Covector through 3 example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.
Covector meaning
A linear map from a vector space to its field of scalars
Using Covector
- The main meaning on this page is: A linear map from a vector space to its field of scalars
Context around Covector
- Average sentence length in these examples: 32.7 words
- Position in the sentence: 1 start, 1 middle, 1 end
- Sentence types: 3 statements, 0 questions, 0 exclamations
Corpus analysis for Covector
- In this selection, "covector" usually appears near the start of the sentence. The average example has 32.7 words, and this corpus slice is mostly made up of statements.
- Around the word, tangent, yielding and derivative stand out and add context to how "covector" is used.
- Recognizable usage signals include 1 n covector with an and 1 n covector yielding an. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "covector" sits close to words such as aabc, aacr and aacsb, which helps place it inside the broader word index.
Example types with covector
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Here is the covector derivative in any spacetime and reduces to in flat spacetime. (14 words)
The introduction of a Riemannian metric or a symplectic form gives rise to a natural isomorphism between the tangent space and the cotangent space at a point, associating to any tangent covector a canonical tangent vector. (36 words)
Simply, in coordinates, the inner product is the product of a 1×n covector with an n×1 vector, yielding a 1×1 matrix (a scalar), while the outer product is the product of an m×1 vector with a 1×n covector, yielding an m×n matrix. (48 words)
Simply, in coordinates, the inner product is the product of a 1×n covector with an n×1 vector, yielding a 1×1 matrix (a scalar), while the outer product is the product of an m×1 vector with a 1×n covector, yielding an m×n matrix. (48 words)
The introduction of a Riemannian metric or a symplectic form gives rise to a natural isomorphism between the tangent space and the cotangent space at a point, associating to any tangent covector a canonical tangent vector. (36 words)
Here is the covector derivative in any spacetime and reduces to in flat spacetime. (14 words)
Example sentences (3)
Simply, in coordinates, the inner product is the product of a 1×n covector with an n×1 vector, yielding a 1×1 matrix (a scalar), while the outer product is the product of an m×1 vector with a 1×n covector, yielding an m×n matrix.
Here is the covector derivative in any spacetime and reduces to in flat spacetime.
The introduction of a Riemannian metric or a symplectic form gives rise to a natural isomorphism between the tangent space and the cotangent space at a point, associating to any tangent covector a canonical tangent vector.