Sentence examples for sum of indices from inspiring English sources

The Lefschetz number applied to the fixed point set is the Euler characteristic and equal to the sum of indices, the Lefschetz number applied to ℋ is zero.

In the discrete, we have i T ( x ) = − p ( 0 ) where p is the characteristic polynomial of the permutation matrix −P of T restricted to x. Examples (1) If x is a 0-dimensional simplex (a vertex), then i T ( x ) = 1 for every fixed point x and the sum of indices agrees with L ( T ).

The Nei diversity index for all the loci is the sum of indices for each locus given by I Nei = ∑ j I Neij.

3. The lemma of the index sum [ 58] states that the sum of indices of all steady states within a two-dimensional confined set (closed region in phase space where all trajectories point inwards [ 59]) equals one.

Let us regard as the actual system load, which is the sum of power indices assigned to all backlogged users, while we assume that there is a target system load.

For each database, the time in the previous sentence is the sum of index volume creation times taken over all volumes of the database.

To better characterize this pattern of response, new irRC were created that accounted for antitumor response based on total measurable tumor burden as measured by the sum of index lesions and new measurable lesions [ 46].

Notice that the traces of these interaction matrices are equal to the respective mean squares of the Procrustes ANOVA as implemented by Klingenberg and McIntyre [ 13], and are simply the sum of (index FA4 in [ 39]) for each x and y coordinates of the corresponding aligned configurations divided by the shape dimension.

Contrary to mWHO criteria, irRC (a) only consider measurable lesions (>1 cm), (b) define total tumour burden as the sum of index lesions identified at baseline and new lesions detected after baseline and (c) aim for follow-up after progressive disease to detect late activity [ 56].

The black line is the sum of all indices; deviation from one indicates variance due to parameter interactions.

The black line shows the sum of all indices; deviation from one indicates fluctuations in the model output due to parameter interactions not accounted for by the first order indices.