riemann tensor=0 where R=Riemann tensor 0=the surface is flat
In mathematics, a Riemann sum is a summation of a large number of small partitions of a region. It may be used to define the integration operation. The method was named after German mathematician Bernhard Riemann.
No
Several mathematicians have addressed the Riemann hypothesis, but none of their attempts have yet been accepted as correct solutions.
It is not so much an equation, as a function. Since the definition is fairly complicated, I suggest you visit the Wikipedia page: http://en.wikipedia.org/wiki/Riemann_zeta_function ... or do additional Web searches either for "Riemann hypothesis" or "Riemann zeta function".
The Lebesgue integral covers a wider variety of cases. Specifically, the definition of hte Riemann integral permits a finite number of discontinuities; the Lebesgue integral permits a countable infinity of discontinuities.
Washek F. Pfeffer has written: 'The Riemann approach to integration' -- subject(s): Riemann integral 'Derivation and integration' -- subject(s): Generalized Integrals 'Integrals and measures' -- subject(s): Generalized Integrals, Measure theory, Riemann integral 'Derivation and Integration (Cambridge Tracts in Mathematics)'
Thomas Joannes Stieltjes was born on December 29, 1856.
Thomas Joannes Stieltjes was born on December 29, 1856.
Thomas Joannes Stieltjes died on December 31, 1894 at the age of 38.
Thomas Jan Stieltjes has written: 'Collected Papers/Oeuvres Completes'
Thomas Joannes Stieltjes has written: 'Beschouwingen over spoorweg-bruggen in Nederland'
Thomas Joannes Stieltjes was born on December 29, 1856 and died on December 31, 1894. Thomas Joannes Stieltjes would have been 38 years old at the time of death or 158 years old today.
riemann
Riemann did.
The almost unparalleled depth and impact of the concepts introduced by Riemann. His investigations in geometry led to Riemannian geometry. His investigations in trigonometric series gave us the modern definition of function and a first notion of the integral (Riemannian integral). His 9-page investigation into number theory founded the field of analytic number theory. Riemann was so ahead of his time that the "approximate functional equation" that he devised during the time of publication of his paper on number theory, was only rediscovered 40 years later after that Siegel investigated his notes. He is known for the Riemann Hypothesis, the biggest currently open problem in mathematics. He is also known for the development of variational methods and the application of the Dirichlet principle. An mathematician of such a caliber ... is very rare. I think that Riemann is in the same league as Grothendieck.
Ziska Riemann's birth name is Franziska Riemann.