Gelfond-schneider Constant

The Gelfond-Schneider constant is
2^\sqrt{2}=2.6651441...
which Aleksandr Gelfond proved to be a transcendental number using the Gelfond-Schneider theorem , answering one of the questions raised in Hilbert's seventh problem. Its square root is
\sqrt{2}^\sqrt{2}=1.6325269...
which can be used in a nonconstructive proof that an irrational number to the power of an irrational number can sometimes produce a rational number.

 

<< PreviousWord BrowserNext >>
phillips effect
lokum
kars province
monteverde
not fade away (album)
canakkale province
subdominant parallel
tonic parallel
dominant parallel
daniel waterhouse
mount bierstadt
intertextuality
oregon ballot measure 60 (1998)
minnie marx
miyako
preziosi
resistentialism
pasipha group
raves
roch theriault
fort wayne community schools
colloidal gold
superquinn
krishna menon
rocket from the crypt
rayner hoff
zamorin
betsy's wedding
esashi
victor argo
the tussauds group
crowd simulation
breaker morant (film)
the dead zone (tv series)
narrativity
quantum fourier transform
jake daubert
raoul dandurand
jim munroe
grays peak
pomona docks
istiklal caddesi
600 ship navy
strathgordon, tasmania