Sentence examples for 1 columns from inspiring English sources

There is certain heterogeneity by demographic groups (see Table 1, columns 4 and 5).

By defining I ̃ m to be the first m - 1 columns of the m × m identity matrix I m, J ̃ m to be the first m - 1 columns of the m × m all one matrix J m, K ̃ m to be 2 I ̃ m - J ̃ m and 0 ̃ m to be the first m - 1 columns of the m × m zero matrix 0 m, the following theorem shows a general method for constructing GCO matrices.

Then, the PCT performs the dimension reduction n → (d = p - 1) by replacing Y with the first p - 1 columns of Y ~ V.   2.

For each of the (frac {r}{2} + 1) columns of the updated array, add a parity by summing all (frac {r}{2}) symbols in the column.  .

The JUnit test cases used in our study were developed only for a part of classes of each analyzed system (Table 1, columns 3 and 5).

Then, the PCT performs the dimension reduction n → (d = p - 1) by replacing Y with the first p - 1 columns of Y ~ V. Initialization.

So far, we have used all the first N a −2K−1 columns.

N^{N_{C}^{pG}-1}) columns are available in L H for possible selection.

where (mathbf {P}^{prime }_{-1} n-1)) contains the first M−1 columns of P ′(n−1).

Moreover, we consider 2L−1 columns of Γ i as γi,j for j=1,2,…,2L−1.

Once the matrix is completed, an unlabeled case is assigned to the class vertex closest to the point deposited in its last c−1 columns.