Sentence examples for complete this condition from inspiring English sources

For instance, there are many results in which the metric space is not necessarily complete (this condition has been replaced by the completeness of an appropriate subset) and, even more, we do not need to consider a metric space (many results have been demonstrated by using quasi-metric spaces and pseudo-quasi-metric spaces).  .

For instance, there are many results in which the metric space is not necessarily complete (this condition has been replaced by the completeness of an appropriate subset) and, even more, we do not need to consider a metric space (many results have been demonstrated by using quasi-metric spaces and pseudo-quasi-metric spaces).

According to Table 2, the experiment evaluated the weight percentage of Fe and Ag in sample-2 similar to the theoretical ones, which confirms that doping is perfect and complete through this condition.

In Theorem 3.1, if ({mathbb{B}}) is weakly sequentially complete, the condition (H3) holds automatically.

Once a field has been selected, it is sufficient to insert the desired "value" parameter to complete the condition.

Hence, we complete the proof of this condition of the paranorm.

These authors mentioned also that the density of structural Mn3+ has to be "significant" to allow for a complete transformation and linked this condition to the ability of Mn3+ to induce layer kinking, owing to its Jahn Teller distorted environment.

After the carers in this condition complete the measurements associated with the control period, they will be debriefed regarding the purpose of the waiting list option and are invited to participate in a Montessori workshop.

People with severe dementia were not able to complete the questionnaire, and this condition is more prevalent with age and related to decline in functioning, thereby introducing possible bias.

This condition completes condition (24).

This condition completes the proof.