Sentence examples for In the first index from inspiring English sources

Let (a i,j ) be a matrix which is non-negative and non-decreasing in the first index for all i ≥ j ≥ 1.

The CPI was born in 1977 by including in the first index information on urban families, self-employed and the pensioners in Puerto Rico.

From (8) it follows that entries of the matrices ( b i, k n, γ ) do not decrease in the first index and do not increase in the second index.

Hence, inequality (13) is equivalent to inequality (23), where (( W^{(n)}(i,j) )) is the non-negative triangular matrix which has entries (W^{(n)}(i,j geq 0) for (jleq i) and (W^{(n)}(i,j equiv0) for (j>i) and is non-decreasing in the first index for all (igeq j>-infty).

From the definition of the matrix ( d k, j γ, m ), γ = 0, 1,..., m - 1, m = 0, 1,..., it is obvious that the entries of the matrix ( d k, j γ, m ) do not decrease in the first index and do not increase in the second index and for m ≥ l ≥ γ, k ≥ s ≥ j satisfy the following inequality d k, j γ, m ≥ d k, s γ, l ⋅ d s, j l, m. (14).

(New Zealand led the first index in 2006).

Mr. Bogle created the first index fund in 1976 for Vanguard, then his fledgling fund group.

As above, we introduce the classes O m -, m ≥ 0. Let (a i,j ) be a matrix which is non-negative and non-increasing in the second index for all i ≥ j ≥ 1.

However, in the third index, there is a greater number of significant correlations with the variables of SF-12v2.

We can choose transmitter locations for sampling, which correspond to the first indices in (8).

As the size of the index grows, we can add more levels, summarizing each byte in the "first level" index with a bit in the "second level" index, each byte in the "second level" index with a bit in the third, and so on.