Sentence examples for established the remarkable from inspiring English sources

It is to be noticed that, for the information on the quality of the Poisson approximation, Le Cam (1960) [1] established the remarkable inequality ∑ k = 0 ∞ | P ( S n = k ) − P ( Z λ = k ) | ≤ 2 ∑ j = 1 n p n, j 2. (2..

Now in the pure mathematics of the relations between samples and populations, Jacob Bernoulli had in the 18th century established the remarkable fact that, for populations of any large size whatever (say above 2500), the vast majority of samples of 2500 or more closely match in complexion the population from which they are drawn.

In 1974, George Bergman established the following remarkable result.

In the year 1973, Pachpatte[11] established the following remarkable inequality: Let u(n), b(n), and c(n) be nonnegative real valued functions defined on N 0 + Open image in new windowand c ≥ 0 is a constant.

This is the untold story of the remarkable scientist who established the carbon dioxide theory of climate change.

Remarkable breakthroughs have established the functionality of graphene and carbon nanotube transistors as replacements to silicon in conventional computing structures, and numerous spintronic logic gates have been presented.

With advancing technology, we continue to build on the hard work and remarkable insights that established the fundamental principles and mechanistic underpinnings of the immune system, such as somatic recombination, clonal selection and self-tolerance — ideas that when first described must have seemed too outlandish to be real.

In his remarkable paper [24], Gromov established the converse.

In a remarkable display of unity, they established the "New Dawn Charter".

As a careful and astute clinician, he thoroughly analysed his patients' conditions, clearly defined the subtle differences in the complex diseases he encountered, and took his observations into the research laboratory, where he tried to establish the basis for the remarkable diversity of his patients' illnesses.

Herpesviruses are complex, enveloped, double-stranded DNA viruses, which show the remarkable ability to establish lifelong latency in immunocompetent hosts.