The phrase "and thus by using" is correct and usable in written English.
It can be used to indicate a conclusion or result that follows from the action of using something.
Example: "The experiment yielded significant results, and thus by using the new methodology, we were able to achieve our goals more efficiently."
Alternatives: "therefore by employing" or "consequently by utilizing".
Held: The language "any money or other property of the United States" in § 2114 includes the $1,800 belonging to the United States and entrusted to the Secret Service agent as "flash money," and thus by using a pistol in an effort to rob the agent petitioners fell squarely within the prohibitions of the statute.
Gastric cancer is known to be very heterogeneous and thus, by using only one block we may have underestimated the true mutation frequency.
The project in Cameroon (07-278), for instance, carried out a currently unpublished pilot study of 920 women and found that the risk factors were very weak in picking up women with GDM and thus by using risk factor-based screening a number of women with GDM could not be detected.
In the present work, we used site directed spin labeling (SDSL) to specifically place a magnetic probe at positions 2, 5, 19, and 21 within the N-terminal and thus monitor, by using Electron Spin Resonance (ESR), dynamics and structural changes in this region in the presence of a membrane model system.
Containers within a pod share an IP address and thus communicate by using ports on the local host address.
Thus by using transporters and receptor mediated endocytosis genes, enzymes and activated prodrugs could be delivered to cancer cells and metastatic tissues [ 37].
Thus, by using Equations 6, 7, and 8 and the Bohman-Korovkin-type theorem, we get the result.
Thus, by using (10) and (11) the function can be found as which is concave w.r.t.
Thus, by using RDCs and interglycosidic coupling constants, the two parameters previously not applied to the study of heparin, our investigation confirmed the limited effect of the flexibility of IdoA on the overall shape of heparin molecule.
Hence, from (2.10), we see that Re { H ( i s, t ) } ≤ 0 for all real s and t ≤ − ( 1 + s 2 ) / 2. Thus, by using Lemma 1.1, we conclude that Re { q ( z ) } > 0 for all z ∈ U, that is, q is convex in U. Next, we prove that the subordination condition (2.3) implies that F ( z ) ≺ G ( z ) ( z ∈ U ) (2.12).
Thus, by using Theorem 2.2, we obtain that T and g have a unique common fixed point.
