Sentence examples for no approximate from inspiring English sources

Despite the title, our algebras are often allowed to have no approximate identity.

( q ̃ i, q ̃ j ) is the best matched point pair of (p i, p j ) with the best similarity score in Equation 3. Notice that if no approximate congruent match ( q ̃ i, q ̃ j ) is found, we set the probability value to zero, i.e., S p (p i, p j ) = 0.

Therefore, no approximate heuristics are necessary to efficiently apply the ME principle by evaluating all possible topological locations for read r.

The driver variables studied were: tobacco consumption (yes, no), approximate age (18 34, 35 64, and ≥65 years) and sex (male, female).

Because the percentage of people using a denture/bridge was high (males: 68.1%, females: 67.6%), adjusted odds ratio derived from the logistic regression could no longer approximate PR [ 21].

No approximating assumptions are needed other than the usual assumption of a linear elastic system modelled by finite elements.

Only complete sets of data were included in the calculations and no approximates to replace missing values were computed.

It was found that the forecast uncertainties increased for greater earthquakes (e.g., M w > 8) because the tsunami source was no longer approximated as a point source for such earthquakes.

It is also found that the forecast uncertainties become larger for greater earthquakes because the tsunami source is no longer approximated as a point source for greater earthquakes (e.g., M w > 8).

In those cases, the likelihood function no longer approximates a normal distribution, especially in the case of relatively small sample size.

(Thus, f can have no nontrivial approximate fixed point sequence).