Sentence examples for sums sum from inspiring English sources

The closed ideal of the algebra ( {widehat{L}}(Gamma )) generated by the hereditary subset (W subset V) consists of (possibly infinite) converging sums (sum alpha _{pq}pq^*), where (alpha _{pq}in F; p,q in Path(Gamma ), r(p)=r q) in W).

Recall, Prangoski [18, Definition 3] that two sums, (sum _{jin mathbb N}a_j,summ _{jin mathbb N}b_jin FS _{A_p,rho }^{*,infty }(mathbb R^{2d})), are said to be equivalent, in notation (sum _{jin mathbb N}a_jsim sum _{jin mathbb N}b_j), if there exist (m>0) and (B>0) (resp. there exist (h>0) and (B>0)), such that for every (h>0) (resp.

We calculated annual cumulated sums (sums of daily values) of mean and maximum temperature over April-May (following [ 61, 62, 11]), as these months represent the reproductive period [ 58, 63].

Let h be the closed form sum (sum _{j=1}^{nu } -D_j^2+V).

but, the sum (sum _{i=0}^{s-1} 1-q)^{i}^{s-1} 1-qmetric sequence of common ratio 1−q.

The sum (sum {z_{ij}} = m) equals the test set size and the diagonal contains all correctly classified examples (sum _{i}{z_{ii}} = m-e).

Indeed, since the sum (sum nolimits _{iin Omega } a_i) is convergent it follows that for an arbitrary (tge 1) the set ({iin Omega mid a_inotin V_t}) is finite.

This is explained by the observation that the sum (sum _{n} langle B_{n} rangle ) is identical for the three export schemes as discussed above.

Besides, most of the researches relied upon the computation of the weights of contexts using simple weighted sum – SUM (context (times ) weight).

Next we divided the summed sum of squares by the summed number of samples.

wk, week; IG, inguinal; ED, epididymal; MS, mesenteric; RP, retroperitoneal including perirenal; SC, subscapular; Sum, sum of the 5 fat pads above; B6, C57BL/6J; TH, TALLYHO/Jng J