Sentence examples for under the given assumption from inspiring English sources

Note that this is true even under the given assumption of zero excessive bandwidth.

In our example of four project options (Table 3), project proposal P4 produces the highest cost-benefit of 164% under the given assumption of i = MARR = 10%.

end{aligned}In fact, under the given assumption (fin mathcal S), Eq. (1.10) holds for all (xin mathbb {R}), since both series are uniformly convergent, at least on compact subsets of (mathbb {R}), and hence define continuous functions.

In our example of four project options (Table 3), project proposal P3 produces the shortest, most favorable payback period of 1.8 years under the given assumption of i = MARR = 10%.

In order to prove that lim n → ∞ A 0 n = ⋂ n = 0 ∞ ( ⋃ m = n ∞ A 0 m ) is closed, that is, an infinite intersection of unions of infinitely many closed sets is closed, it is first proved that all those unions are closed under the given assumption that ⋃ n = 0 ∞ A 0 n is closed.

Under the given assumptions, we give the corresponding Berry-Esséen bound.

From this, the strict convexity under the given assumptions readily follows.

An observation of the negative in-plane Poisson's ratios for wavy laminated composites reinforced with carbon fibers is presented under the given assumptions of CLT.

Under the given assumptions (IEEAF and WEHAM F), the NNA mBPE approach would generate credits from the second CP onwards.

The distribution of the final dose under the given assumptions is therefore found as follows: For each intervention group the slope is assumed to follow an even distribution between 0.1 and 0.2.

Then Theorem  3.1 still holds under the remaining given assumptions.