The phrase "a basis consisting of" is correct and usable in written English.
It can be used when describing the foundational elements or components that make up a particular concept, theory, or system.
Example: "The research is built on a basis consisting of empirical data and theoretical frameworks."
Alternatives: "a foundation made up of" or "a framework comprising".
Assume $X$ has a basis consisting of quasi-compact opens.
If (X,τ) is a T1 space with dimX = 0, then X has a basis consisting of open and closed L-sets.
We define the Bell basis as a basis consisting of two Bell states begin{array}rcl@ |Psi^{mp}rangle=frac{1}{sqrt{2}}(|Hrangle_{1}|V ranglend{arrayrangle_{1}|Hrangle_{2}), end{array} (1).
A Cartan subalgebra of a Lie algebra (mathfrak {g}_0) is a maximal commutative subalgebra (mathfrak {h} subset mathfrak {g}_0) such that (mathfrak {g}_0) (or its complexification if (mathfrak {g}_0) is a real Lie algebra) has a basis consisting of eigenvectors of (mathrm {ad}(H)) for all (H in mathfrak {h},).
The vector space may or may not possess an eigenbasis, a basis consisting of eigenvectors.
Public education was dependent on an institutional basis consisting of a number of institutions: schools, museums and other places holding public exhibitions, and periodicals (Neurath 1931/1973, 222).
The topological algebra E is called a locally multiplicatively convex algebra if E has a local basis consisting of multiplicative and convex sets.
For a selfadjoint operator function we study the existence of a Riesz basis consisting of eigenvectors if not for the whole space then at least for the closed linear span of all the eigenvectors.
With LR, the basis B is transformed into a new basis consisting of roughly orthogonal vectors.
30 At higher levels, FMSA could organise relevant continuous professional development programmes on a regular basis consisting of scientific conferences, seminars or forums bringing together hospital specialists or experts to further understand essential updates in primary care medicine.
A probability measure in Rd is called a spectral measure if it has an orthonormal basis consisting of exponentials.
