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'''Rolf Rannacher''' (born 10 June 1948 in [[Leipzig]]) is a German mathematician and a professor of [[numerical analysis]] at [[Heidelberg Uni ...Znljr1YlaZAC Reactive Flows, Diffusion and Transport: From Experiments via Mathematical Modeling to Numerical Simulation and Optimization]. Final Report [[Collabor ...

{{short description|German-born American mathematician}} ...tch |website=[[Legacy.com]] |format= |access-date=2010-08-03}}</ref> was a German-born American theoretical mathematician who was a professor of [[mathematic ...

== Mathematical formulation == ...Socio- and Econophysics]] of the [[Deutsche Physikalische Gesellschaft]] (German Physical Society) for an outstanding original contribution using physical m ...

...e=200|issue=5|pages=519–520|s2cid=189872702|doi-access=free}} ''Journal of Mathematical Sciences'' (August 2014, Volume 200, S. 519–520)</ref> – 16 September 2012, ...scholarship in French and German, the Edward Blake in any pair of French, German, Italian, and Spanish, and the second Edward Blake in mathematics and physi ...

| fields = [[Mathematical optimization]] ...g Prize]] of [[Society for Industrial and Applied Mathematics|SIAM]] and [[Mathematical Programming Society|MPS]] 1982 <br /> [[John von Neumann|von Neumann]] cit ...

...TSE100]] and French [[CAC 40]] having fully recovered by December, and the German [[DAX]] reaching pre-crisis levels by November the next year.{{Original res ...model "made several eerily on-the-mark calls using a formula based on the mathematical constant pi."<ref name="time">Justin Fox. ''Time'' magazine. Pg 30; Nov. 30 ...

*Membership of the [[German Academy of Sciences Leopoldina]] (1970) ...titute of technology|Polytechnic]] in 1968 and was elected member of the [[German Academy of Sciences Leopoldina]] in 1970 and of the [[Accademia Nazionale d ...

...le=Anatolii Alekseevich Karatsuba (On his 60th birthday) | journal=Russian Mathematical Surveys | year=1998 | volume=53 | issue=2 | pages=419–422 | bibcode=1998RuM ...karatsuba/list_e.html List of research works], Anatolii Karatsuba, Steklov Mathematical Institute (accessed March 2012).</ref> ...

Social [[systems theory]], as expounded in the work of German sociologist [[Niklas Luhmann]], inspires a similar diagnosis. This theory h ==== Mathematical errors ==== ...

...s|access-date=15 July 2020 |website=The Guardian |language=en}}</ref> Some analysts have questioned the sustainability of further world population growth, high ==Mathematical approximations== ...

...neutral]] rate). The formula led to a boom in options trading and provided mathematical legitimacy to the activities of the [[Chicago Board Options Exchange]] and {{defn|A dispute between proponents of two differing theoretical and mathematical positions in economics concerning the nature and role of [[capital (economi ...

The '''value-form''' or '''form of value''' (''"Wertform"'' in German) <ref>In English, one would normally say "the form of value", "the form tha ...s/]; Roberto Fineschi, "Dialectic of the Commodity and Its Exposition: The German Debate in the 1970s — A Personal Survey". In: Riccardo Bellofiore & Roberto ...