Sentence examples for rigorously prove from inspiring English sources

We rigorously prove that this discrete model possesses the flip bifurcation and the NS bifurcation, respectively.

We rigorously prove that the proposed method satisfies the first and second laws of thermodynamics.

The idea behind formal verification is to rigorously prove with mathematical certainty that the system functions as specified.

We rigorously prove, for the first time to our knowledge, sufficient conditions for the stability of their stationary solutions.

DCCA allows to rigorously prove whether a failure on component level is the cause for system failure or not.

Now, we will rigorously prove a theorem about the exact solution of a canonical three-term recurrence relation Eq. (4).

By Jonah Lehrer Many results that are rigorously proved and accepted start shrinking in later studies.

For example, he rigorously proved algorithms for determining the area of circles and the volume of pyramids by dissecting the regions into infinitely many pieces.

And it may turn on the interpretation of an arcane Food and Drug Administration regulation that allows manufacturers to put a device on the market without rigorously proving its effectiveness when it is intended to treat or diagnose a fairly rare condition.

Instead of rigorously proving his insights in each field, he said he preferred to "stimulate the field by making bold and crazy conjectures" -- and then move on before his claims had been verified.

But now, in an article published Thursday on the Web site of the journal Science, the scientists at the University of Alberta who developed the program report that they have rigorously proved that Chinook, in a slightly improved version, cannot ever lose.