Sentence examples for besides retaining from inspiring English sources
In the setting of Example 2.2, we define, besides retaining the rest of the example as it stands.
Remark 3 Theorem 8 remains true if condition (u0) is replaced by any one of the conditions ( u 0 1 )-( u 0 9 ) (of Corollary 14) besides retaining rest of the hypotheses.
CPF enables, in fresh concrete, drainage of excess water and air besides retaining binder particles at the concrete surface, leading to a blow-hole free surface and enhanced quality of the outer layers.
Example 4.3 In the setting of Example 4.1, replace the self-mappings A, B, S and T by the following besides retaining the rest: We obtain A ( X ) = { 1, 5 } ⊂ [ 1, 13 ] = T ( X ) and B ( X ) = { 1, 4 } ⊂ [ 1, 4 ] = S ( X ), which shows that S ( X ) and T ( X ) are closed subsets of X.
Corollary 6 Corollary 4 remains true if the conditions (c) and (d) are replaced by the conditions (c)′′ and (d)′′, respectively (besides retaining the rest of the hypotheses): (c)′′ either f is continuous or ( X, d, ⪯ ) has the MCB property, (d)′′ there exists x 0 ∈ X such that x 0 ≺ ≻ f ( x 0 ).
Theorem 1 remains true if the conditions (c) and (d) are replaced by the conditions ((mathrm{c})^{prime}) and ((mathrm{d})^{prime}), respectively (besides retaining the rest of the hypotheses): ((mathrm{c})^{prime}) : either f is continuous or ((X,d,preceq)) has the DCL property, ((mathrm{d})^{prime}) : there exists (x_{0}in X) such that (x_{0} succeq f(x_{0})).
Did they do anything besides retain the extra revenue?
Some of these disorders, besides retained placenta or mastitis, were also encountered in the animals of groups 2 4 in addition to their different stages of hepatic lipidosis (Table 1).
This served two purposes; first, it showed that both duplicons corresponded to the entirety of Chromosome 31 in L. major, although, as Figure 1 shows, this chromosome is larger and contains other genes besides those retained in T. brucei.
That is because there is a stronger environmental argument for restricting the supply of rare earths, the extraction of which produces toxic chemicals.China also has other means of retaining control of the market besides export quotas.
