Sentence examples for quantitative proof from inspiring English sources

In 1955 Ginzburg (with I.S. Shklovsky) discovered the first quantitative proof that the cosmic rays observed near Earth originated in supernovas.

The report, from the Labor Department, offered quantitative proof of what Americans have been feeling for months: almost everything costs more, even as they have less money to pay for it.

In this paper the results are discussed of a pore-scale model that can be regarded as qualitative and quantitative proof of the Ergun equation.

The instantaneous variations of the vorticity field are also presented, giving quantitative proof of the extent of the unsteady character of the flow.

(As quantitative proof of his popularity, Mr. Trump's spokeswoman called immediately after the interview to note that he has 1.4 million Twitter followers, a number that she said is growing by about 40,000 a week).

Yet, despite three years of quantitative proof that insulated structures in extreme climates tremendously reduce fuel requirements, there has been little effort to broaden the scope of the initiative.

Notably, our results provide quantitative statistical proof for these experimental observations.

However, many studies have failed to provide sufficient quantitative data to proof passage of the BBB and significant appearance of drugs inside the brain parenchyma.

Unfortunately, I doubt we will see any quantitative data or proof of such success.

SAXS quantitative analysis provides a proof that the significant increase in the long period of the copolyesters mainly arises from the increase in the amorphous layer, because the thickness of the lamellar increases slightly.

Recently, Pia̧tek [26] has generalized - independently of Saejung's work - Saejung's result even to CAT-spaces with an argument which is new also for CAT 0) spaces and is more elementary than Saejung's approach based on Banach limits (it would be of interest to carry out a quantitative analysis of this proof due to Pia̧tek).