I mentioned several times that I incorporate spirals or whorls into my work a lot. This is Composition de Nautile, which to me always feels like it has a slight steampunk-y edge. Available here in print and other forms: https://jon-woodhams.pixels.com/featured/composition-de-nautile-jon-woodhams.html #geometricart #logarithm #whorl #AYearForArt #MastoArt #FediGiftShop #ContemporaryArt #abstract #AbstractArt #ArtistsOnMastodon #ArtForInteriorDesign #ArtPrints #prints #SpringForArt #SpringIntoArt
#springintoart #springforart #prints #artprints #artforinteriordesign #artistsonmastodon #abstractart #abstract #contemporaryart #fedigiftshop #MastoArt #ayearforart #whorl #logarithm #geometricart
How to prove this?!🤔
\[\displaystyle\int_\tfrac{1}{2}^1\dfrac{\psi(x)}{1+\Gamma^2(x)}dx=\ln\left(\sqrt{\dfrac{1+\pi}{2\pi}}\right)\]
where \(\Gamma(x)\) and \(\psi(x)\) are the gamma and digamma functions respectively.
#Integral #definiteintegral #gammafunction #digammafunction #pi #logarithm
#logarithm #pi #digammafunction #gammafunction #definiteintegral #integral
Multiply 20527686 by its natural logarithm. The result differs from an #integer by less than 1/20527686(!)
#math #maths #logarithm #nearinteger
[Modified from OP birdsite 20131027]
#integer #math #maths #logarithm #nearinteger
Math geek ✔ Art fan ✔
If you are near Boston, check out the #Mathemalchemy art installation at Boston University. The more math you know, the better it is!
https://www.flickr.com/photos/marcn/sets/72177720305436925
#Math #Art #Boston #BostonUniversity #HilbertsGrandHotel #Sierpiński #Triangle #Sierpinski #e #logarithm #Pi #Pie #Zeno #Integral #Conway #Hilbert #paradox #prime #infinity
#Mathemalchemy #math #art #boston #bostonuniversity #logarithm #pi #zeno #HilbertsGrandHotel #sierpiński #triangle #sierpinski #e #pie #prime #integral #conway #hilbert #paradox #infinity
@mittelwertsatz @chris_sangwin To express that idea more formally, define functions \[ L_n(x) = \int_1^x \xi^{n-1} x\xi. \]
Then \( L_0(x) = \ln x \) and \( L_n(x) = \frac{x^n - 1}n \) otherwise. But all \( L_n \) obey the functional equations
\[ L_n(x y) = y^n L_n(x) + L_n(y), \quad 𝐿_n(1)=0. \]
My question now is: Do these "generalized logarithms" occur somewhere naturally?
#functionalequation #integration #logarithm
Ah, the new #socialmedia #censorship solution is to let her rip and then blame the victims that they didn't apply the #logarithm choice policies correctly.
How very #libertarian.
#socialmedia #censorship #logarithm #libertarian
#igcse #Olevels preparation: #logarithm: When log5 = p. Express the following in terms of “p”.