basis vector

collocation in English

meaningsofbasisandvector

These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withbasisorvector.
basis
noun[C]
uk
/ˈbeɪ.sɪs/us
/ˈbeɪ.sɪs/
the most important facts, ideas, etc. from which something ...
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vector
noun[C]
uk
/ˈvek.tər/us
/ˈvek.tɚ/
physics
something physical such as a force that has size ...
See more atvector

(Definition ofbasisandvectorfrom theCambridge English Dictionary© Cambridge University Press)

Examplesofbasis vector

These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
The choice is motivated by the fact that the firstbasisvectorrepresents the most prominent term co-occurrence - and therefore the most dominant concept - in that cluster.
From theCambridge English Corpus
If one non-zero vector is fixed (such as the firstbasisvector), then each non-zero vector is uniquely defined by its magnitude and angle.
From
Wikipedia
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Any such m can be taken as abasisvector, along with 1, to form a planar algebra.
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These refer to the distribution ofbasisvectorcoefficients for typical inputs.
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One can associate a tensor index or coordinate label with abasisvectordirection.
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A cycle basis is a basis of this vector space in which eachbasisvectorrepresents a simple cycle.
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Forbasisvectorin the context of crystals, see crystal structure.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
The final result is an orthonormal set of basis vectors.
From theCambridge English Corpus
Using the basis vectors (3.16), the explicit moment computations can now easily be avoided.
From theCambridge English Corpus
Note also that (8) guarantees that all of the basis vectors are orthogonal to the fluxbearing component of this magnetic field.
From theCambridge English Corpus
Basis vectors are mutually orthogonal unit vectors that span a subspace.
From theCambridge English Corpus
Alternatively, we can index these basis vectors with pairs (k, l).
From theCambridge English Corpus
A general state vector for the field would be a sum of many different basis vectors, with possibly differing numbers of particles.
From theCambridge English Corpus
In particular, the computed basis vectors lose their orthogonality as the iteration number k increases.
From theCambridge English Corpus
A set of basis vectors spans a space.
From theCambridge English Corpus
The final result is a symplectic set of basis vectors.
From theCambridge English Corpus
Since f#, is irreducible, this implies that f#, is a transitive permutation of the basis vectors.
From theCambridge English Corpus
However, it is not always appreciated that the dependence of the basis vectors on the right-hand side is non-linear and quite complicated.
From theCambridge English Corpus
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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