Feral Mathematician
@FeralMathPhysicMath is our language for telling stories about numbers. Numbers tell their true story via the universe with or without us. I listen to numbers. Pronouns: We/Us
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For k in Z, real w>=0, B[a,b] the beta function: Sum_{k,-inf,inf} 1/(2^(2w) B[(2k+1)/2+w,-(2k+1)/2+w])=1. For w in Z, all terms are rational/pi, so these rationals fast approach pi for sums over finite {-k,k}. It seems to be equivalent to Saha & Sinha's string theory pi method.
For k in Z, real w>=0, B[a,b] the beta function: Sum_{k,-inf,inf} 1/(2^(2w) B[(2k+1)/2+w,-(2k+1)/2+w])=1. For w in Z, all terms are rational/pi, so these rationals fast approach pi for sums over finite {-k,k}. It seems to be equivalent to Saha & Sinha's string theory pi method.
God's Binomial Identity: The product x=f_1*f_2...f_d equals the sum of the 2^d signed binomial coefficients where upper args. are the sums of elements of the subsets of the power set of the {f_i} multiset, lower args. are choose d, and sign is (-1)^(d-k), with k of k-subset fame.
Ever feel like God doesn’t hear you? This man saw a bald eagle from across the lake and told God hey, I sure would like to get a closer look at that bald eagle, but I feel like a lot of times you don’t hear me, can you let me know that you hear me and let me get close to that…
@elonmusk For integers k >0, I start at any point on any of the circles with surface radius 1 + 1/(2 x k x pi) mi. from the south pole, walk 1 mi. south, 1 mi. west, then 1 mi. north and I am back at my starting point. Now fund my real research for a year so I can write a book.
Why is common sense so refreshing to hear if it is so common? Fucking brilliant.
Mom completely destroys a woke school board. Have a listen 🔊 👉This speech would put anyone at a stand still. We need Moms like this EVERYWHERE! Protect our Children at all costs. #TrumpGirlOnFire 🔥
As candidate I cannot claim any party or affiliations because I love all of you the same, & hope the same wellness & prosperity for you all. I recommend ditching all the groups. Theres only one real group you are for or against. Humanity. #DEAN2024 #BlueCrossMovement
So, do we want to dream, or do we want to make the dream our reality? All the current policy proposals are obsolete. Its time for a paradigm shift. This is the only true 21st Century campaign. No donations, just shares. If this is confirmed & everyone sees it, buckle up.
Just published in the OEIS oeis.org/A362081 , A362082, A362083 They are derived using an abundance measure via residues, but unlike the flat lower bound (p-1)/p for sigma(k)/k, this is naturally centered on sigma(k)~2k, thus giving us a means to define "super-deficiency"
Mod notation might be a higher priority, so bulky and non-intuitive. And it is not like like there is some dead professor Mod we dare not offend. Here's my bid: Puts the modulus in the middle where it belongs:
I've only recently realised how varied mathematical notation is around the world. In some countries, eg India and Russia, they use \overline{x5} for this. That's an excellent notation I think we all ought to adopt.
Threw in some hints on this one. What do you notice?
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