Examples of 'unique up' in a sentence
Meaning of "unique up"
unique up - This phrase lacks context and could have various interpretations depending on the conversation or situation where it is used. It might be a play on words or an incomplete sentence that requires more information to understand its meaning
How to use "unique up" in a sentence
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unique up
This product is unique up to permutation of the factors.
It is important to us that you understand how unique up is.
Both states are unique up to overall spin rotations.
Unique up and down agitation in the bioreactor.
The universal covering graph is unique up to isomorphism.
These are unique up to homotopy equivalence in a suitable model category.
This factorization is also unique up to the choice of a sign.
It is unique up to a constant normalization factor.
The representation is unique up to permuting factors.
Unique up on him.
This factorization is unique up to the sign of the content.
Each such triple defines an integer triangle that is unique up to congruence.
Ordinal utility functions are unique up to increasing monotone transformations.
It can be shown that such splitting fields exist and are unique up to isomorphism.
And ff is unique up to multiplication by a positive real.
See also
This neighborhood is unique up to isotopy.
It is unique up to a unique isomorphism.
This bilinear map is unique up to isomorphism.
Is unique up to an isomorphism.
This decomposition is unique up to isomorphism.
H is unique up to isomorphism.
This graph is unique up to.
It is unique up to isomorphism.
Indefinite integrals are called indefinite because their solutions are only unique up to a constant.
This form is unique up to congruences.
The Chinese Remainder Theorem tells us that solutions are unique up to.
This complete factorization is unique up to the order of the factors.
Each factor has a standard representation, which is unique up to isomorphism.
This morphism is unique up to a translation on the Albanese.
The Bohr compactification exists and is unique up to isomorphism.
Moreover, this decomposition is unique up to multiplication of the factors by invertible constants.
For example, many concepts in category theory are defined to be unique up to isomorphism.
The solution to this puzzle is unique up to mirror reflections and rotations.
Every path-connected space has such a Postnikov system, and it is unique up to homotopy.
The adjacency matrix of a digraph is unique up to identical permutation of rows and columns.
The cofree coalgebra of a vector space always exists, and is unique up to canonical isomorphism.
For a given curve γ ( t ) is unique up selection direction of traversal of the curve.
Thus minimal Stinespring representations are unique up to a unitary transformation.
This decomposition is unique up to multiplication by complex scalars of norm 1 {\displaystyle 1.
If a Néron model exists then it is unique up to unique isomorphism.
That intertwiner is then unique up to a multiplicative factor a non-zero scalar from K.
If this decomposition exists, then it is unique up to a P-null set.
The output of MDS is only unique up to a Euclidean transformation ( rotation and translation ).
Any field F has an algebraic closure, which is moreover unique up to ( non-unique ) isomorphism.
However, it is unique up to isomorphism.
This Boolean algebra is unique up to isomorphism.
The object A itself is only unique up to isomorphism.
If such exists, then it is unique up to unique isomorphism.
In this case, the solution is unique up to homeomorphism.
Such a space exists, is a CW-complex, and is unique up to a weak homotopy equivalence.
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Special issues unique to frail older men
Unique reference identifying a particular consignment of goods
Your company is unique and so is our approach