One day, one decomposition
A258024: Natural numbers n such that the iteration of the function floor(tan(k)) applied to n eventually reaches [the fixed point] 1 (or any larger integer if such fixed points exist), where k is interpreted as k radians

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A258024.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A258024.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A258024.html

LLM function calls don't scale; code orchestration is simpler, more effective

https://jngiam.bearblog.dev/mcp-large-data/

Oh my have I been having fun at this Glass nerd Art Society conference.

Just recently we went to the Parlay pipe show (usually in Philly) after Susie Silbert gave an amazing talk about glass pipes. The pipes in person are really wild- the level of detail is incredible!

I have been hearing such nice things about my work and it leaves me super flattered every time. I'm thrilled to see so many glass friends and artists I admire. I bent Kacie Lees' Texas pattern a few days ago in front of some friends... Gonna pump it tomorrow before I give a demo at 10:30am- WIIFM in ruby red with wholesale bends.

Meryl Pataky and Taylor Healy gave an amazing lecture on neon conservation that had some of my work in it and made my eyes tear up it was so beautiful. Its been so fun to see old friends and make new ones! Some usernames on this other weird photo site include @alexfreschglass and @calyxann

https://www.europesays.com/uk/107404/ Women and exercise: ‘Function over looks’ vital as you get older – The Little Things #‘stop’ #Ageing #and #as #Change #exercise #exercising #Fitness #from #function #get #Health #impacts #little #looks #older #over #perimenopause #should #shouldnt #the #things #UK #UnitedKingdom #vital #Women #you

Integrals of inverse functions!

Proof without words (see image; credit: Jonathan Steinbuch, CC BY-SA 3.0, via Wikimedia Commons)...

For any montonic and invertible function \(f(x)\) in the interval \([a,b]\):
\[\displaystyle\int_a^bf(x)~ \mathrm dx+\int_{f(a)=c}^{f(b)=d}f^{-1}(x)~\mathrm dx=b\cdot f(b)-a\cdot f(a)=bd-ac\]

If \(F\) is an antiderivative of \(f\), then the antiderivatives of \(f^{-1}\) are:
\[\boxed{\displaystyle\int f^{-1}(y)~\mathrm dy=yf^{-1}(y)-F\circ f^{-1}(y)+C}\]
where \(C\) is an arbitrary constant (of integration), and \(\circ\) is the composition operator (function composition).

For example:
\[\begin{align*}\displaystyle\int \sin^{-1}(y) \, \mathrm dy &= y\sin^{-1}(y) - (-\cos(\sin^{-1}(y)))+C\\ &=y\sin^{-1}(y)+\sqrt{1-y^2}+C\end{align*}\]

\[\displaystyle\int \ln(y) \, dy = y\ln(y)-\exp(\ln(y)) + C= y\ln(y)-y + C.\]

#Function #InverseFunction #InverseFunctions #Functions #Integral #Integrals #Antiderivative #Integration #Calculus #FunctionComposition #CompositeFunction)

EukFunc: A Holistic Eukaryotic Functional Reference for Automated Profiling of Soil Eukaryotes

https://onlinelibrary.wiley.com/doi/abs/10.1111/1755-0998.14118

How to Average in Prolog (2017)

https://storytotell.org/how-to-average-in-prolog

#HackerNews #How #to #Average #in #Prolog #Prolog #Programming #Average #Function #Hacker #News #2017