Sentence examples for sum as expected from inspiring English sources

The quadratic equation they satisfy is 15x2 - 4x - 3 = 0. Note that b is the opposite of the diagonal sum as expected.

The Germans invade, as expected.

Overall, results are as expected.

This 'total' is represented exactly by summing the log-odds-ratios, where (log 10 (1 ) + log 10 (10 ) ) : (log 1 (1 ) + log 10 (10 ) ) = 1 : 1, as expected.

The resulting keyword sum was, as expected, much lower, with a total point of 10.8.

In addition, protein families in thermophile genomes contain fewer proteins then protein families in nonthermophile genomes (P < 8.6 × 10−, Wilcoxon rank-sum test), as expected by the reduction of gene number in thermophile genomes.

This rule requires that the premise transition ({p} {{{,mathop {longrightarrow }limits ^{sigma }}}} m) be derivable by the rules, starting form the sequential process p. Rule (sum(_1)) and its symmetric (sum(_2)) are as expected: the transition from place (p + p') are those from places p and (p'), as both p and (p') are sequential.

The B-O3 3-B anglesumup up to 360°, as expected from the trigonal-planar geometry.

As expected, the sum of the current and lagged effects yields estimated elasticities in the range of −.465 to −.552 over the same period.

Estimates of forward attributable risk are very similar, and as expected their sum is equal to the overall burden, differently than for the backward version.

As expected, the sum-capacity achieved by the sufficient statistic is an upper bound for the sum-rates achieved by systems employing sampling.