# Riemann

[ US /ˈɹimən/ ]
NOUN
1. pioneer of non-Euclidean geometry (1826-1866)
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## How To Use Riemann In A Sentence

• One of his papers in 1895 improved on Riemann's contour integral formula for the number of primes in a given interval.
• This gave powerful results such as a purely algebraic proof of the Riemann Roch theorem.
• A Riemann surface is typical of the case, where you have the intersection of one universe, with the tangential impact of another universe upon it - [that's a] typical Riemannian surface.
• Their general theory of rhythm, according to which it consists in the succession of arsis and thesis, i. e., one part leading forward and a second part marking a point of arrival and of provisional or final rest, is substantially the same as Riemann's (see his "System der musikalischen Rhythmik und Metrik", Leipzig, 1903), and is becoming more and more accepted. The Catholic Encyclopedia, Volume 12: Philip II-Reuss
• You should've seen Fin grinning. * g* (Reply to this) (Parent) riemannia Ccfinlay: Some Great News
• With his structuralist views about the nature of mathematical entities and about the way in which to investigate them, he (together with Dirichlet, Riemann, and Cantor) was far ahead of his time. Dedekind's Contributions to the Foundations of Mathematics
• Riemann had found one very special imaginary landscape, generated by something called the zeta function, which he discovered held the secret to prime numbers. The Elegant Variation:
• Schenke-Layland K, Riemann I, Stock UA (2005) Multiphoton autofluorescence imaging of intratissue elastic fibers. PLoS ONE Alerts: New Articles
• A familiar Riemannian manifold is a Euclidean manifold (where one has to add a smoothly varying inner product on the tangent space of the standard Euclidean space), with the familiar Euclidean (distance) metric (our 3-space, for example). Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element
• His main work was on associative algebras, non-associative algebras, and Riemann matrices.
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