The phrase "a special basis" is correct and usable in written English.
It can be used when referring to a unique or specific foundation or reasoning for something.
Example: "The committee decided to grant the exception on a special basis due to the unique circumstances surrounding the case."
Alternatives: "a unique foundation" or "a specific rationale".
The critic makes use of a special basis function parameterization motivated by the policy-gradient compatible function approximation.
In 1986, she received the Distinguished Service Award of the American Association for the Study of Liver Diseases, which is awarded only on a special basis.
The ratings are the fast national ratings that ABC orders on a special basis and will likely be close to accurate when the final numbers are posted next week.
We construct a special basis of the solutions in Section 3 and introduce some functions that are independent of this basis.
Other parks have offered lower prices on off-demand days on a limited basis for special events such as Halloween Horror Nights at Universal Studios Hollywood and Mickey's Very Merry Christmas Party at Walt Disney World.
Here a basic Lie monomial means a Lie monomial in a special linear basis of the free Lie algebra L i e ( X ) ⊂ k ⟨ X ⟩, known as the Lyndon Shirshov (LS for short) basis (Shirshov [207] and Chen Fox Lyndon [72], see below).
This motivated us to do some modifications in the März decomposition, using special basis vectors, which leads to a modified decoupled system of dimension n.
These special basis vectors can be computed numerically in an efficient way using the LUQ routine discussed in [8].
We use this formula for the special basis (see (3.11)).
In this section, we modify the März decomposition using special basis vectors.
We have discussed that index-1 and -2 electric networks can be decoupled using special basis vectors.
