Sentence examples for fulfill left from inspiring English sources

Thus, from (1 + (mu- nu h > 0) we see that h must fulfill: left { begin{array}l@{quad}l} 0 < h < frac{1}{nu- mu} & mbox{if } nu> mu, h in 0,infty) & mbox{otherwise}.

The base sequences (boldsymbol {bar {r}}) are complex exponential sequences lying on the unit circle fulfilling left| left[ boldsymbol{bar{r}} right]_{k} right| = 1~.

The measurement i is selected as a candidate to be excluded if and only if both of the following conditions are fulfilled: left{ begin{array}{ll} quad r_{i} geq r_{k},~forall k, quad r_{i} > a_{left( 1-P_{fa}/2right)}.

In case, tissue Doppler yielded an E/E' ratio ranging from 8 to 15, additional non-invasive parameters had to be fulfilled: left atrial volume index > 40 ml/m2 body surface, or left ventricular mass index > 122 g/m2 body surface, or transmitral E/A ratio < 0.5 plus deceleration time > 280 ms, or blood level of brain natriuretic peptide > 200 pg/mL.

In case, tissue Doppler yielded an E/E' ratio ranging from 8 to 15, additional non-invasive parameters had to be fulfilled: left atrial volume index > 40 ml/m2 body surface, or left ventricular mass index > 122 g/m2 body surface, or transmitral E/A ratio < 0.5 plus deceleration time > 280 ms, or blood level of brain natriuretic peptide (BNP) > 200 pg/mL.

Generally in cases like this, there are needs that are not being fulfilled, leaving one person feeling unseen, unheard, unimportant, devalued, neglected or uncared for, and the other person feeling resentful, guilty, harassed, violated, and irritated.

One patient had to be excluded prior to randomization since the inclusion criteria were not fulfilled, leaving 29 patients available for analysis.

The drive to create more wealth fuels such efforts, but another motivation is to complete the Internet's unfinished revolution, to atone for excesses of the bubble and fulfill promises left over from the boom.

The potential is there, but it's rarely fulfilled, which leaves many people frustrated.

The food must please, sustain, fulfill, delight and leave in peace -- all within the same porcelain circle.

Margaret and I stayed on after the band left, fulfilling the journalist's professional obligation to gorge oneself on free food at every opportunity.