Sentence examples for methods of proofs from inspiring English sources

Our methods of proofs are very simple as compared with other techniques.

The following result extends Theorem XO; our methods of proofs are based on the ideas developed in [15].

Since our methods of proofs of the theorem are different from the others, we must consider the boundary σ and Γ.

Averroës himself composed a work on theology, Kitāb al-kashf ʿan manāhij al-adillah ("Exposition of the Methods of Proofs"), to show how these requirements can be met.

An emphasis is placed on the development of rigorous mathematical skills and methods of proof.

The methods of proof employed in these examinations presaged many techniques of knowledge production that would become a part of experimental practice in the early modern world.

Then, the upper bound of the settling time for stabilization can be estimated in two forms due to two different methods of proof.

Methods of proof involve a mixture of variational methods (entropy minimization) and fixed point theory; Hilbert′s projective metric also plays a useful role.

In formal modeling and statistical methods, there are two tracks, one that assumes no specific mathematical background and one that assumes students have a basic level of mathematical training in calculus, linear algebra, and methods of proof.

Following the methods of proof of Theorem 3.1 we obtain the required assertion.

Here, our aim is to show two different methods of proof.