and e

Mathematics and other neat things

Various values of \(1^\pi\) in the complex plane. It is worth noting that the seventh value is very close to \(1\). This corresponds to \(\frac{22}{7}\) being a very good rational approximation to \(\pi\). Also very interesting: the next closest to \(1\) is the \(106^{th}\) value. This corresponds to the second convergent, \(\frac{333}{106}\), in the continued fraction expression for \(\pi\).

Various values of \(1^\pi\) in the complex plane. It is worth noting that the seventh value is very close to \(1\). This corresponds to \(\frac{22}{7}\) being a very good rational approximation to \(\pi\). Also very interesting: the next closest to \(1\) is the \(106^{th}\) value. This corresponds to the second convergent, \(\frac{333}{106}\), in the continued fraction expression for \(\pi\).

2 years ago

  1. almost-my-turn reblogged this from visualizingmath
  2. 105northtower reblogged this from anengineersaspect
  3. amelie-anomaly reblogged this from nobel-mathematician
  4. milkyway-eyes reblogged this from nobel-mathematician
  5. lrg21 reblogged this from visualizingmath
  6. empress-lord-of-bs reblogged this from visualizingmath
  7. since-slicedbread reblogged this from anengineersaspect
  8. anengineersaspect reblogged this from the-science-of-time
  9. kappaxhris reblogged this from visualizingmath
  10. the-twelfth-dimension reblogged this from visualizingmath
  11. mytelescopeisbroken reblogged this from visualizingmath
  12. sagasumi reblogged this from misakit
  13. nanouchkapod reblogged this from vistoporahifuera
  14. transgenderposthuman reblogged this from visualizingmath
  15. cosmic-microwave-background reblogged this from biognosis
  16. dialing-the-doctor-in-the-impala reblogged this from lupinaroundthemoon
  17. whathappenedtochristo reblogged this from a-heart-of-calcifer
  18. mamasaxahorn reblogged this from scientiststhesis
  19. gideonblackwater reblogged this from hauntedbyastory
  20. a-heart-of-calcifer reblogged this from theazerilime
  21. hauntedbyastory reblogged this from uncatchablefox