Sentence examples for reduced to which from inspiring English sources

It was defined as the factorization of a nonnegative matrix A into the multiplication of two other nonnegative matrices W and H, where A is a m ×  n matrix, W and H are m ×  k and k ×  n matrices, where k is the target dimensionality to be reduced to, which is a number smaller than the minimum of m and n.

In the case when c 23=0, Stanton's example reduces to: which realises only the coefficients.

When there is no signal, reduces to, which is the sample covariance matrix of the noise only.

Using the algorithms specifically tailored to cyclically banded matrices, the computational complexity per data block reduces to, which is linear in the block size.

Under model 1 assumptions, reduces to, which clearly shows the limitation of this model to introduce both context and class information for patch classification.

Note that if (constant) then (1.1) reduces to, which is the mean curvature of the spacelike surface of defined by (it is called a spacelike slice).

In the absence of IGEs, eqn 11 reduces to, which is the classical result.

In this particular setting, we have Using simple arithmetic, this reduces to which is the K-means cluster selection step.

The issue then reduces to which biomedical problems should use which animals for appropriate studies, and what criteria should be applied for such selection.

The equations of the three lines reduce to which are then substituted in the formula of the pencil of conics (Eq. 46).

Characters were reduced to nicknames, which were further reduced to acronyms.