Sentence examples for rigorously proven from inspiring English sources

The stability of the overall system is rigorously proven.

The stability of the closed-loop system is rigorously proven.

Equation (6) can be alternatively and more rigorously proven using an inductive argument.

It could also have been rigorously proven by the method used for corresponding formula with d = 1 in [1].

It is rigorously proven that the designed adaptive controllers can guarantee global stability of the closed-loop system.

In the latter case existence and uniqueness of the solution, obtained by the iterative algorithm, is rigorously proven.

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.