File:Riemann critical line.png: Difference between revisions

Latest revision as of 17:16, 24 July 2017

Nonfiction: Riemann hypothesis: The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011.

In the News

Mathematician and crime-fighter Bernhard Riemann uses analysis, number theory, and differential geometry to detect and prevent crimes against mathematical constants.

Fiction cross-reference

Nonfiction cross-reference

External links:

Riemann hypothesis @ Wikipedia

Attribution:

By Slonzor - Own work. Made with Mathematica using the following code: Show[Plot[{Re[Zeta[1/2+I x]], Im[Zeta[1/2+I x]]}, {x,-30, 30},AxesLabel->{"x"} , PlotStyle->{Red, Blue}, Ticks->{Table[4x-28,{x,0,14}]}, ImageSize->{800,600}], Graphics[Text[Style[\[DoubleStruckCapitalR][\[Zeta][ I x + "1/2"]],14,Red ,Background ->White],{-22,2.6} ]], Graphics[Text[Style[\[GothicCapitalI][\[Zeta][ I x + "1/2"]],14,Blue ,Background ->White],{-14,2.6} ]]], Public Domain, https://commons.wikimedia.org/w/index.php?curid=5240444

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	Date/Time	Thumbnail	Dimensions	User	Comment
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+Nonfiction: [[Riemann hypothesis (nonfiction)|Riemann hypothesis]]: The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011.
+== In the News ==
+<gallery>
+File:Georg Friedrich Bernhard Riemann.jpg|link=Bernhard Riemann (nonfiction)|Mathematician and crime-fighter [[Bernhard Riemann (nonfiction)|Bernhard Riemann]] uses analysis, number theory, and differential geometry to detect and prevent [[crimes against mathematical constants]].
+</gallery>
+== Fiction cross-reference ==
+== Nonfiction cross-reference ==
+* [[Bernhard Riemann (nonfiction)]]
+* [[Mathematics (nonfiction)]]
+* [[Riemann hypothesis (nonfiction)]]
+External links:
+* [https://en.wikipedia.org/wiki/Riemann_hypothesis Riemann hypothesis] @ Wikipedia
+Attribution:
+By Slonzor - Own work. Made with Mathematica using the following code: Show[Plot[{Re[Zeta[1/2+I x]], Im[Zeta[1/2+I x]]}, {x,-30, 30},AxesLabel->{"x"} , PlotStyle->{Red, Blue}, Ticks->{Table[4x-28,{x,0,14}]}, ImageSize->{800,600}], Graphics[Text[Style[\[DoubleStruckCapitalR][\[Zeta][ I x + "1/2"]],14,Red ,Background ->White],{-22,2.6} ]], Graphics[Text[Style[\[GothicCapitalI][\[Zeta][ I x + "1/2"]],14,Blue ,Background ->White],{-14,2.6} ]]], Public Domain, https://commons.wikimedia.org/w/index.php?curid=5240444
+[[Category:Nonfiction (nonfiction)]]
+[[Category:Mathematics (nonfiction)]]