Sentence examples for intuitive proof from inspiring English sources

So here we go, for what is hopefully a short and intuitive proof of the convergence rate for Nesterov's momentum (disclaimer: this proof is merely a rearranging of well-known calculations, nothing new is going on here).

It also teaches students how to construct and check the logical validity of a variety of proofs of consequence and non-consequence, consistency and inconsistency, and independence using an intuitive proof system which extends standard proof treatments with sentential, graphical, and heterogeneous inference rules, allowing students to focus on proof content rather than syntactic structure.

We can also give another intuitive proof of equation (52) as follows.

Along the way, Dicks and Martínez-Pérez present a streamlined, somewhat more intuitive proof of Theorem 12.

And even if understanding an (intuitive) proof of the result is beyond the reach of the student at the present time, it is clearly an advantage if the student understands that there is an explanation.

More precisely, the Jordan Curve Theorem gives a concise and intuitive proof why our algorithm works for k=1, and a result of Stromquist and Woodall that follows from the Ham Sandwich Theorem allows for showing correctness for any constant k.

Repetti says that while there is a learning curve, once you've got the basics down it becomes much more intuitive (as proof as its wide accessibility, he directed me to this canvas, which was created by a user named Rockin' Grandma).

The final project should contain a summary of the problem and model considered in the papers, your critical evaluation of the problem, summary of the result, and intuitive explanation and proof of why some of the results are true.

The primary project of the course will be a full, modern development of first-order logic alongside discussion of its relationship to intuitive ideas of proof, truth, and implication.

But as mathematicians spun out ever more intuitive arguments, some "proofs" turned out to be false, leading them to shore up the foundations of their earlier work.

Even though ADP is developed in this intuitive way, numerous proofs of both convergence and optimality have been developed for specific applications.