Sentence examples for with additional conditions from inspiring English sources
The phrase "with additional conditions" is correct and usable in written English
It can be used when specifying that something is subject to extra requirements or stipulations. Example: "The offer is valid with additional conditions that must be met by the end of the month."
(2) From the above three theorems, we can reduce the value of n with additional conditions.
In [8], Green's function for a differential second-order problem with additional conditions, for example, NBCs, has been investigated.
Further testing with additional conditions and different antibiotics as well as study with mutants of key genes will help unveil the mechanism of bioelectric effects.
Green's function for problems with additional conditions is related with Green's function of a similar problem, and this relation is expressed by formulae (5.26).
Also, with additional conditions in nonlinearities and impulse functions, we can show the existence of at least two solutions by using the mountain pass theorem.
This has led some philosophers to supplement coherentist accounts of autonomy with additional conditions that place constraints on the causal history of an agent's endorsements, constraints of the very sort singled out in the responsiveness-to-reasoning accounts.
With additional condition of completeness, we introduced new fixed point results for these classes of mappings.
Remark 3.1 Lemma 1.1 with additional condition (1.7) is employed as a key tool to prove Lemma 3.2.
Remark 3.3 In Theorem 3.2 and its corollaries we can replace P ( K ) with CB ( K ) with additional condition that T is weakly closed for all x ∈ D ( T ) = K in order to ensure that u n and w n satisfy Lemma 3.1 as indicated in Remark 3.1.
with two additional conditions (4.4).
The following theorem shows that with some additional conditions the converse holds.
