Sentence examples for rigorously proves from inspiring English sources

For the steady-state problem, existing singular perturbation analysis rigorously proves the correct scaling of the internal layer.

Straightforward computations show that conditions (3.1), (3.2) in Theorem 3.2 hold for r = 0.003, p = 0.597, q = 1.5 × 10 − 7, b = exp ( 3.2 ) / p. This paper rigorously proves the existence of chaotic dynamics for a single-species discrete population model with stage structure and birth pulses.

Mathematical analysis of this simple discrete model rigorously proves that long-term tissue homeostasis is guaranteed by a negative feedback control of cell density on SC proliferation.

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.

The unique solvability is rigorously proved.

The theoretical validity of the modification was rigorously proved.

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