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How to use Riemann in a sentence

Looking for sentences and phrases with the word Riemann? Here are some examples.

Sentence Examples
He gave the conditions of a function to have an integral, what we now call the condition of Riemann integrability.
Both of these clues should help quantum chaologists zero in on the one system that will prove the Riemann hypothesis.
He gave a reducibility theorem for Riemann spaces which is fundamental in the development of Riemannian geometry.
His main work was on associative algebras, non-associative algebras, and Riemann matrices.
During a short tea break, Dyson had connected quantum physics with the Riemann hypothesis.
Mathematicians have established that there is an infinite number of such solutions of the Riemann equation.
He studied the Riemann zeta function, and its extension to arbitrary number fields, discovering important results.
One of Weil's major achievements was his proof of the Riemann hypothesis for the congruence zeta functions of algebraic function fields.
The papers look at algebraic curves, the Riemann Roch theorem and algebraic polynomials.
Gauss did lecture to Riemann but he was only giving elementary courses and there is no evidence that at this time he recognised Riemann's genius.
New approaches show promise, potentially bringing a proof of the Riemann hypothesis within reach.
This gave powerful results such as a purely algebraic proof of the Riemann Roch theorem.
Among Dedekind's other notable contributions to mathematics were his editions of the collected works of Peter Dirichlet, Carl Gauss, and Georg Riemann.
These computational results give mathematicians confidence that random matrix theory could provide an avenue to a proof of the Riemann hypothesis.
In his dissertation, Riemann studied the representability of functions by trigonometric series and gave the conditions for a function to have an integral.
And in that one volume, he put forward the foundations of modern differential geometry, the Riemann zeta function, an important problem in fluid mechanics.
These discrete rotations and discrete Lorentz boosts are contained already in SO, and they tesselate the Riemann sphere.
The technical definition of the definite integral involves the limit of a sum of areas of rectangles, called a Riemann sum.
However, a Riemann sum only gives an approximation of the distance traveled.
We must take the limit of all such Riemann sums to find the exact distance traveled.
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Examples from Classical Literature
Riemann and Beltrami are chief among those whose labors characterize the scope of this period.
The geometry of these surfaces reduces itself therefore to the spherical geometry, which is that of Riemann.
Riemann discovered elliptic metrical geometry, and Lobatchewsky hyperbolic geometry.
The two-dimensional geometries of Riemann and Lobachevski are thus correlated to the Euclidean geometry.
He replaces his Riemann surface by a metallic surface whose electric conductivity varies according to certain laws.
In his revision of the chapter before us, Dr. Riemann proceeded from an entirely different point of view.
Who would venture to say whether he preferred that Weierstrass had never written or that there had never been a Riemann?
These two cases are mentioned also by Riemann in Goethes Romantechnik.
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