Sentence examples for first index for from inspiring English sources

# Get IDs and subtract first index for type.

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

A first index for accounting the inflation in Puerto Rico was born by using the cost of living for working families in 1940.

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).

When we deal with multiview systems, we need a second index for the view point.

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.

The nomenclature for modes in a cavity introduces a third index, for example TE011.

One new marker, SmicSy6, is a proximal marker to SPF and, thus, a second index for SPF.

Two years later Jack Bogle of Vanguard launched the first index fund for retail investors.

A cocycle conjugacy invariant for a Powers shift is its commutant index, i.e., the first index k for which the range ofσkhas a nontrivial relative commutant inR.

Bogle and his new company, Vanguard, introduced the S&P 500 index fund to individual investors in 1976, about the same time the first index strategies for institutional investors appeared.