Sentence examples for assumptions stated from inspiring English sources

Different schemes have been developed to deal with the critical assumptions stated above.

Suppose that the assumptions stated above are satisfied.

We can define g, (f_{1}), (f_{2}) to satisfy the assumptions stated in Theorem 3.1.

One of the ways to solve this equation is to impose some further assumptions stated under the form of indices of the equation.

Hence, it is shown that even for a single-channel noise corrupted AEC problem, the most optimum solution w ̂ n can be achieved under the assumptions stated earlier.

The econometrics analysis was carried out with Equations 18 and 19 [12] using the assumptions stated in Tables 4 and 5.

For the HMM under considerations, we make some assumptions stating as follows [14].

"With very conservative assumptions, the total value of [Ahmed's] carried interest across these funds is material and significant — easily in the $60 million range even with very conservative assumptions," states his motion.

It turned out that previous assumptions stating that exclusively homochiral species participate in a stereoselective and autocatalytic pathway and that heterochiral species originate only from uncatalyzed background reactions could not be validated by our model.

However, there are some doubts and assumptions stating that attenuation of neurogenesis is not a cause of depression, but it is rather one of its functional outcomes (Airan et al. 2007).

In the present model, for simplicity, we adopted the assumption stated in Eq. (9).