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# Riemann

[ ree-mahn; English ree-mahn, -muhn ]

## noun

1. Ge·org Frie·drich Bern·hard [gey-, awrk, , free, -d, r, i, kh, , bern, -hah, r, t], 1826–66, German mathematician.

Riemann

/ ˈriːman /

## noun

1. RiemannGeorg Friedrich Bernhard18261866MGermanSCIENCE: mathematician Georg Friedrich Bernhard (ˈɡeːɔrk ˈfriːdrɪç ˈbɛrnhart). 1826–66, German mathematician whose non-Euclidean geometry was used by Einstein as a basis for his general theory of relativity

Riemann

/ mən,-män′ /

1. German mathematician who originated the non-Euclidean system of geometry that is now named after him. Riemann also studied optics and electromagnetic theory, and his work influenced Albert Einstein's theory of General Relativity.

## Derived Forms

• Rieˈmannian, adjective

## Other Words From

• Rie·mann·i·an [ree-, mah, -nee-, uh, n], adjective

## Example Sentences

Despite their best efforts, mathematicians have made very little progress on the Riemann hypothesis.

So, according to Riemann, because a straw can be cut only once — from end to end — it has exactly one hole.

They identified a 744-rule Turing machine that halts if and only if the Riemann hypothesis is false.

The Riemann hypothesis also concerns the distribution of prime numbers and is one of the Clay Mathematics Institute’s “Millennium Problems” worth \$1 million.

In his revision of the chapter before us, Dr. Riemann proceeded from an entirely different point of view.

Well, Riemann's geometry is spherical geometry extended to three dimensions.

There is a sort of opposition between Riemann's geometry and that of Lobachevski.

The two-dimensional geometries of Riemann and Lobachevski are thus correlated to the Euclidean geometry.

The geometry of these surfaces reduces itself therefore to the spherical geometry, which is that of Riemann.

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rielRiemannian geometry