Sentence examples for procedure of proof from inspiring English sources
Since inequality (3.19) is similar to (2.12), we can repeat the procedure of proof in Theorem 2.4 and get (3.9).
Even ideas he tossed off as exercises have changed logic, for example a 1929 suggestion to formalize the informal procedure of proof from assumptions led to Stanisław Jaśkowski's 1934 system of natural deduction, in essentials the way logic is mainly taught to students today.
A more effective enforcement of application of the mutual recognition principle will be achieved by establishing a clear procedure, burden of proof, deadlines and responsibilities for both the entrepreneur and the authorities opting for an exception to this principle.
The proof of Theorem 2 is similar to the procedure of the proof of Theorem 1 with minor differences.
The main procedure of the proof is as follows.
Following the procedure of the proof of Theorem 2.7, we can also prove the following theorem.
Remarks For a complex number z with | z | ≥ 1, we may follow the procedure of the proof of (2) to obtain | T n ( z ) | − | T n − 1 ( z ) | ≥ 0 ( n ≥ 1 ).
After reviewing, the criteria for linear delay differential systems are established by characterizing the eigenpolynomial distribution in the previous literature; it is not difficult to see that the procedure of the proof is complicated and the threshold for the desired delay systems is not easy to determine in practical problems.
By using a similar procedure to proof of the [13, Theorem 2.3], we prove that that is continuous on, which completes the proof is completely continuous.
Throughout this paper, R denotes the set of real numbers and (mathbf{R_=[0,infty)) is the given subset of R, and (C M,S)) denotes the class of all continuous functions defined on set M with range in the set S. The following lemmas are very useful in the procedures of our proof in our main results. Suppose that (f(x)) and (g(x)) are nonnegative and continuous functions on ([c,d]).
From the procedure of the above proof, we see that.
