Sentence examples for Following proof from inspiring English sources
The idea of the following proof is followed by the second author [15].
The ideas of the following proof come from [1, 2, 7].
The following proof will be divided into two steps.
The following proof will be decomposed into two cases.
The following proof will be the same as in case (1). .
Moreover, (u(t)) is concave on ([eta+1,T+1]_{mathbb{Z}}). The following proof will be divided into two cases.
Proof The following proof follows the same lines as previous proofs of related results in [7, 13], but we reproduce it for the sake of completeness.
These two inequalities will always be used in the following proof, so we will not mention them every time.
First of all, let us introduce some mathematical tools for the following proof, which can be found in [23 26].
Following proof-of-concept in animal models, a clinical development program was launched that consisted of two observational studies, three open-label interventional studies and a long-term follow-up review analysis.
This suggests persons in locations where the Push-Pull strategy will be tested following proof-of-concept may find the idea of repelling an insect (rather than requiring direct kill of mosquitoes) quite "normal".
