Sentence examples for upon this condition from inspiring English sources

1. prove an a priori compactness condition, like the Palais-Smale condition, 2. prove a deformation lemma depending upon this condition, and. 3. construct a critical value, could be replaced by the following steps: 1. prove a quantitative deformation lemma, 2. construct a Palais-Smale sequence, and. 3. verify a posteriori compactness conditions.

Despite the changes in DO of Elevate patients not being significant, larger sample size may shed more light upon this condition.

Taken together, these results show that Sec bodies are a novel stress assembly triggered by amino-acid starvation that is distinct from compartments and structures that are also formed upon this condition.

Dr. Samuel Ketch, of New York, said that about two years ago he reported in Keating's Encyclopœdia of the Diseases of Children, about fifty-six cases of congenital dislocation of various joints, discussing in succession the bearing upon this condition of heredity, parturition, location, and treatment.

Upon reflection, this condition may be too stringent.

Furthermore, it may also provide a venue through which partners and family members may come together to share their experiences and benefit from support as they too are likely to be impacted upon by this condition.

Most of us probably know people who suffer from this condition; however, upon monitoring the behavior of states like Qatar, one really wonders whether the same theory could possibly apply to nations as well as humans.

This condition is heavily relied upon when the use of such vectors is considered.

The successful use of this approach depends upon the condition of the baby at birth and requires the establishment of spontaneous breathing at birth.

Many states maintain that engagement rings are conditional gifts -- given upon the condition that the couple weds.

"Of the government patronage, upon the condition specified, I am assured and this alone will more than sustain the Magazine".