Sentence examples for columns of φ from inspiring English sources
where the columns of φ are orthonormal.
Indeed, the measurement matrix Y is a linear composition of the rows of matrix X. Matrix ΦΩ is obtained by setting the columns of Φ indexed by Ω.
To identify the ideal b n,j, we need to determine which columns of Φ j participate in the measurement vector r ̂ n ( f j ).
Let I ⊂ {1,2,...,n} and Φ I be the sub-matrix of Φ that contains columns of Φ indexed by I.
Basically, the RIP dictates that every set of columns of Φ with cardinality smaller than s approximately behaves like an orthonormal system, such that it approximately preserves the ℓ 2-distance between any pair of s-sparse vectors.
So, the eigenvalues of the matrix which is composed of arbitrary two columns of Φ are between 0 and 1, namely that the measurement matrix of the NYFR satisfies 2-RIP.
where {i,j}=1,2,…,N and ϕ i is the i-the column of Φ.
where Φ k is the k-th column of Φ.
The selection of a nonzero row of b n,j equals to selecting a column of Φ j.
On the other hand, since | ν + | < 1, one can identify the first column of Φ ( λ 0 ) P − 1 in (3.6) as the square summable solution of (3.1).
The components of the jth column of Φ describe how each money unit, say each dollar, of consumer payments for the product of sector j is ultimately distributed among the owners of the k factors.
