from my link log —
Faster remainder by multiplication, with applications to compilers and software libraries.
https://arxiv.org/abs/1902.01961
saved 2021-05-23
Confusing episode. Let me clear it all up.
The world is sinking into the doubt needed to rescue Omega, remember, and The Doctor is falling with a balcony that's separated from the building.
How does he get out of that?
Well, saved by a literal magic door that pops out of nowhere, leading back to the time hotel. 🤨
Anita, who he spent a year with once a couple of Christmases ago, has been popping around the Doctor's entire long life, peeping on him with the Daleks and stuff. Trying to find him on the Earth's last day. Today.
And now he's rescued, today turns into a groundhog day. Same day over and over again. 😆
There's another woman that's been stalking him through time lately, Mrs Flood. She was following him everywhere, but she had Xmas off she reckons, so didn't see the Time Hotel bit. Thus the element of surprise in the deus ex machina rescue. 😀
The Doctor is broken free of the wish spell now anyway, popped his conditioning, and can use the time hotel's door to recall Unit and break them all out of the wish too.
The Rani pops in to say hi and explain her plans. 😝
How did the Rani survive the end of the Timelords? She flipped her DNA to sidestep the genetic bomb apparently? Well that makes no sense, but nor does anything else so no time to ponder.
The end of the Time Lords made them all Barons... No, made them barren. There can be no more children of the time-lords.
She's popping Omega back out of the underworld for his DNA because the timelords are all barren and she wants to recreate Galifrey.
But wait a minute: Poppy is the Doctor's kid in wish world! So she should have Timelord DNA too! Maybe that could work?
No. The Rani is a nazi, don't like the kid's contaminated blood. She's got human all over her DNA. Eww.
Rani pops off back to her Bone Palace, and makes the bone beasts attack.
The Doctor explains that the Giant dinosaur skeletons are beasts that pop in to clean up the world when there's a reality flux, and the Rani has turned them on Unit HQ.
So the UNIT HQ turns into some kinda ship? Like the Crimson Permanent Insurance. Lol. It's blasting lasers at the bone beasts and turning around, and has a steering wheel like pirate ship now. 🤣
During the battle, the Doctor pops out to take a ride on the sky-bike, looking like something from Flash Gordon, and crashes into the Bone Palace.
Too late though! Omega is pretty much here now. He's a giant boney CGI zombie, become his own legend. Looks great but doesn't really seem like Omega, who ought to be held together by pure will.
Omega eats the Rani! One of the Ranis anyway. Mrs Flood avoids being eaten. She pops off with the time bracelet. "So much for the Two Rani's. It's a goodnight from me!" as she disappears off into time. Great gag. 😁
The Doctor just shoots Omega to get him back into his box. Pops a rifle off the wall. The Vindicator has apparently also got a built in laser as well as locator beacons. So that's handy. The Doctor doesn't use guns but some of his devices work like one. 🔫
So all is well! The day is saved and the wish is over and baby Poppy survives in a time box! 🍻
They're going to take the space baby off to do space adventures. Ruby is jealous of seeing The Doctor and Belinda vibing like that, as they plan a life in space with the space baby. Aww. Poor Ruby. 😭
But then Poppy pops off! Disappears entirely, and everyone other than Ruby forgets. Ruby remembers because she's disappeared from time herself in the past they say.
Okay: to save his child and on Ruby's word alone, the Doctor will sacrifice himself to turn reality one degree.
He goes off to commit suicide by Regeneration, but Thirteen is here! She's popped out of her timeline to stop him! Or maybe to help, with a motivational chat instead. Gives him a pep talk then pops back off again.
The Doctor zaps reality with his Tardis, dying but holding off on the actual regeneration for a few moments to go check on the kid.
The kid is safe! But isn't his own kid any more. Poppy has popped all her Timelord DNA and is just all human now. Poppy's pop isn't the doc, it's someone called Richie.
And Belinda has been so keen to get home all this time in order to get back to her Baby! Who isn't a timelord, and definitely didn't exist until she was wished into being.
This may not be the most ethical action The Doctor has ever taken: To bend the whole universe in order to recreate a baby that was accidentally wished into being out of nothing. Twisting time to give a child to a nurse who didn't previously have a child, or even remember the wish. Then it's not even the same child that disappeared, coz this one is all human. 🤷
But the doc is popping off to regenerate with Joy in the stars, and... Turns blonde: "oh. Hello?" 🤯
It's Rose! Billie Piper is back? Fantastic!
Is Rose doing a David Tennant Impression there?
Billie playing the Doctor, doing a Tennant impression as Bad Wolf? Amazing. Can't wait.
#doctorWho
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Building nonstationary extreme value model using L-moments
Yire Shin, Yonggwan Shin, Jeong-Soo Park
https://arxiv.org/abs/2506.00977 https://
The full formula for the probability of "success" is:
p = {
1/(2^(-n 1)) if n is negative, or
1 - (1/(2^(n 1))) if n is zero or positive
}
(Both branches have the same value when n is 0, so the behavior is smooth around the origin.)
How can we tweak this?
First, we can introduce fixed success and/or failure chances unaffected by level, with this formula only taking effect if those don't apply. For example, you could do 10% failure, 80% by formula, and 10% success to keep things from being too sure either way even when levels are very high or low. On the other hand, this flattening makes the benefit of extra advantage levels even less exciting.
Second, we could allow for gradations of success/failure, and treat the coin pools I used to explain that math like dice pools a bit. An in-between could require linearly more success flips to achieve the next higher grade of success at each grade. For example, simple success on a crit role might mean dealing 1.5x damage, but if you succeed on 2 of your flips, you get 9/4 damage, or on 4 flips 27/8, or on 7 flips 81/16. In this world, stacking crit levels might be a viable build, and just giving up on armor would be super dangerous. In the particular case I was using this for just now, I can't easily do gradations of success (that's the reason I turned to probabilities in the first place) but I think I'd favor this approach when feasible.
The main innovation here over simple dice pools is how to handle situations where the number of dice should be negative. I'm almost certain it's not a truly novel innovation though, and some RPG fan can point out which system already does this (please actually do this, I'm an RPG nerd too at heart).
I'll leave this with one more tweak we could do: what if the number 2 in the probability equation were 3, or 2/3? I think this has a similar effect to just scaling all the modifiers a bit, but the algebra escapes me in this moment and I'm a bit lazy. In any case, reducing the base of the probability exponent should let you get a few more gradations near 50%, which is probably a good thing, since the default goes from 25% straight to 50% and then to 75% with no integer stops in between.
Comparative analysis of financial data differentiation techniques using LSTM neural network
Dominik Stempie\'n, Janusz Gajda
https://arxiv.org/abs/2505.19243