#matrix multiplication
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er-cryptid · 7 months ago
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Matrix Multiplication - Ex. 2
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peachdoxie · 2 years ago
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I'm sure there's a reasonable explanation for it at the higher levels of math, but why is basic matrix multiplication Like That.
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lionmageaz · 1 year ago
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A big shout-out to Volker Strassen and Shmuel Winograd for showing us more efficient ways to multiply big matrices!
I finally got around to writing a unit test for my implementation of Strassen's algorithm and tested it on a couple 8×8 matrices. Some of the numbers were good, but the lower-left quadrant of the result was way out of whack. Turns out I had the wrong order of matrix multiplication for calculating that quadrant, and once fixed, everything agreed to within an arbitrary 𝜀.
So now it works as it should, but timings reveal that for 8×8 multiplicands, at least, the naïve algorithm is much faster. I'm not sure what Nthreshold is for my implementation, but I'm guessing the real benefits would show themselves starting at maybe 128×128.
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By the way I fully caught up to the story now— chapter three was really good, damn. Love seeing Hi3 coming back to their roots (“no we can’t sacrifice you for the greater good, we love you”)
Songque sobbing and begging Baiji to hurry up because she was so scared of death, praying for someone to save her but refusing to move herself hhhhhhh
Poor Songque has the self-worth of a wet sock, she couldn’t even compute Baiji complimenting her character, bringing up multiple examples to deny it.
Entropy chasing Songque’s illusion was heartbreaking, they were all doing different things too, gave them a lot of life, genuinely great usage of the setting there…
Props to Thelema for professing that she chooses Songque’s free will over saving the world when she could barely move herself. Props to Sera for comforting her hivemind in death. Props to Baiji for having the balls to say he’d still doom them all trying to become god if he had a do-over. Duonigue’s betrayal of Perception was hilarious I kept turning and he kept yelping hahahaha.
And Lantern!! Lantern during the boss fight!!! Lantern yelling for Songque, begging, insisting that she could beat Perception, because Songque is the only one who’d choose the world over her own life…
Songque is everyone’s favorite failgirl and they love her so much
(And I absolutely love the twist that even her name is a scam asjfhdkdhdj)
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panicbones · 4 months ago
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im of the opinion that rodimus never cries. ever. not even after nyon, which makes him feel like a monster for it. i also think hes the type to laugh at inappropriate times or have weird bursts of aggression and anger that he cant seem to trace. also would rather die before going to therapy. what do you MEAN chucking urself into extremely dangerous and life threatening scenarios isnt healthy. thats coping. hes coping.
furthermore hes one of those upbeat individuals who smiles and laughs when you ask him if hes okay and if you press it he gets pissed off. he said hes fine. leave it alone
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in-my-loki-feels · 20 days ago
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Top Ten Favorite Films
Rules: Without naming them, post a gif from ten of your favorite films, then tag others to do the same.
Thank you @devilbearingtrouble and @ghoulehhh for the tags! This was fun! (I started to answer on this blog before I got tagged on main lol I'll put mine under a cut for the Loki-only followers. 🤭)
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Apologies for any double tags! And no pressure of course: @blackbirdofasgard @wolfpup026 @distracteddream @lokimobius @thosegayoldmen @elodiah
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Have you ever managed your time so efficiently that you have zero assignments to do but having nothing to do is actually more stressful than if you had a heavy workload
Giving you a weary thumbs up from under a pile of rubble rn
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tuunateeth · 1 year ago
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hes doing linear algebra👍
danny design is mostly from the amazing @/nicktoonsunite !
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iwozlegit · 2 years ago
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|| 🍍• For real, why do these two images have the same energy ??
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istherewifiinhell · 1 year ago
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Space mausoleum for all season 2 characters that died!!! Hello!!!!! The poor kid getting scared at all the robot CORPSES! Optimus tomb is EMPTY! hes fucking zombieing around up there.... its obviously suspicious but the new leader wants it to be true so bad he gives up the special artifact of leadership. GUH
Mausoleum? Destroyed. Entire bot fleet? Damaged from being lead into a trap by primes puppeted corpse.
And ofc. Undead prime getting autonomy back. Driving the now evacuated flag ship into the enemies for one last blaze of glory.
CMONNNNNNNNN
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umaralikhokharbristol-iii · 13 days ago
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A Picture Is Worth A Thousand Words - Awareness Campaign (2014)
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dragontamer05 · 15 days ago
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You know I think an under utilized idea or concept in Transfomers is the fact that you can have more then one Prime exist at a time.
Only one Prime/ Bot may be the carrier/holder of the Matrix of leadership but the Matrix isn't what makes a Prime. Or at least holding it doesn't.
And a Prime doesn't have to like die for a new one to be appointed- I'd assume, after all there wasn't just one Original Prime. There were several.
So like imagine a story where idk Optimus has been tasked (by Primus?) to go seek out the new Primes to help restore order to Cybertron or something.
Perhaps as wielder of the Matrix it could allow him to bestow/gift the power of the Primes to one deemed worthy, or alternatively it's just something that can happen to a Bot by the will of Primus or something idk.
Hell Cybertron is a big planet plus Cybertrontians/Transformers can and travel to other planets and live off Cybertron. Why not have Optimus just ends up meeting someone else that turns out is also a Prime- and thus discovering he's not the last/only Prime.
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I know there are other Prime characters like Rodimus I just don't see them frequently brought up/ the general idea of another Prime outside of like the comics anyway.
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71kedi-yip · 1 year ago
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I did something
i find the dischotomy between the batfam's potential to kill vs their real-world willingness to kill very interesting! so I made a graph because I'm a nerd
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contagious-watermelon · 1 month ago
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danniitsolutionhaider · 6 months ago
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sabertoothwalrus · 10 days ago
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Ace Attorney: Trials in Paradise 🌅
— an AA7 fan concept —
Initial Premise:
Since it’s designed for the Switch 2 (and thus made for a larger screen), the game will almost always have 2-3 characters on screen at a time, and will feature dozens of unique interaction animations between all sorts of character combos.
There has been another 7 year timeskip.
The old judge retired, and the new judge is his granddaughter!
The jurist system is featured.
This concept is heavily based around these designs.
The characters would have multiple outfits throughout the game, which become unlockable costumes, much like the DLC costumes of DD, SoJ, and TGAA games.
While this is way too specific to truly be a "prediction" of what aa7 could be, I tried to keep it (mostly) realistic to what I thought could actually be in an ace attorney game!
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📦 Case 1: Turnabout Homecoming
Trucy left the nest and Phoenix doesn’t like living alone anymore, so Phoenix is moving into Edgeworth’s house. Apollo— who recently got his driver's license— was driving the moving van, and was accused because a body had been found in the vehicle. The true killer was one of the movers. I like the idea that you'd have to look through boxes for evidence, maybe the murder weapon was hidden within their belongings.
Defendant: Apollo Defense: Phoenix Weird Girl: Edgeworth Prosecutor: Diana Payne (Winston’s daughter) Detective: (drumroll…) Godot!! Witnesses: Larry (he was helping with the move), Leslie (one of the movers) Victim: Bee(another one of the movers) Killer: Anne(third mover)
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(rest of the cases and a lotttt more art under the cut ↓ )
🎢 Case 2: Rollercoaster Turnabout
Maya and Pearl are on vacation at Blue Badger Land. Pearl is accused of murder after a body is found on an unpopular attraction that only Pearl enjoys going on. As an aside, Gumshoe is retired from detective work, and now works as a dog trainer. He trained Armando's service dog, Spot O'Coffee. Wendy Oldbag also serves as a witness, but she's pretty old at this point. Her memory has become fuzzy with age, and her testimonies begin to mix up information from other trials (which will be little references to previous games).
Defendant: Pearl Defense: Apollo Weird Girl: Maya Prosecutor: Klavier Detective: Godot Witnesses: Gumshoe (and his kids, Callum & Beau), Wendy Oldbag, Ride Operator Victim: Ride Safety Inspector Killer: Park Manager
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💍 Case 3: My Love, Turnabout
Klavier has arranged a collab performance between Trucy and Lamiroir. Hugh Dini, Trucy's assistant and boyfriend, is accused when his stunt double is found dead. Hugh is very cagey about his alibi, but it's because he was planning to propose and didn't want Trucy to know yet. Franziska takes this and spins it into a jealousy plot, and insinuates he killed his stunt double out of envy. Because Hugh is actually pretty shy, he has a habit of not speaking up, which only incriminates him further. A twist in the case is revealed during a cross-examination when it turns out the "gold band" the witness is referring to wasn't Hugh's engagement ring, but instead about a gold bangle. This immediately puts Apollo under suspicion, until Phoenix drops a hint that someone else (Lamiroir) has a gold bracelet as well. The truth about Trucy and Apollo's sibling relationship is revealed when Athena finds an unexpected emotion in Phoenix's mood matrix, and Lamiroir decides it’s time to break the news.
Defendant: Hugh Dini Defense: Athena Weird Girl: Phoenix, Apollo (← steps in when Phoenix has to get cross-examined) Prosecutor: Franziska Detective: Ema Witnesses: Lamiroir, Trucy, Hugh Dini Fangirl Victim: Hugh's Stunt Double Killer: Jealous Trucy Stan
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🏝️ Case 4: The Getaway
This one isn’t a traditional case.
After Manfred Von Karma divorced his first wife, Bianka, he moved to Europe, and his previous home was left uninhabited until his eldest daughter, Karla Von Karma, discovers she has inherited it. She decides to turn the beachside property into a bed & breakfast, and invites her half-sister Franziska and adoptive brother Edgeworth to give the manor a trial run and let her know if it’s suitable for visitors. Edgeworth brings along Wright Anything Agency, because… why not treat them to a break?
But of course, their vacation quickly takes a turn when they find a literal skeleton in the closet.
Not all of the rooms in the estate had been searched. Manfred’s study has a large, padlocked safe, and Karla hadn’t gotten around to hiring a locksmith to open it for her. Phoenix tries “0001” for the hell of it, and the only thing more surprising than that combination successfully opening the safe is the body folded up inside.
They can’t imagine the killer was anyone other than Manfred Von Karma, but— since he’s already been executed— they’re not sure if a trial even needs to be held. They need to investigate the situation to determine with absolute certainty it was, in fact, Von Karma, because otherwise they’d need to find a new suspect. Obviously, the group of criminal justice lawyers aren’t not going to get to the bottom of it.
Except Apollo, who has decided he wants nothing to do with solving the murder. He came on this trip for a vacation, dammit, and that's exactly what he's gonna do. He heads back outside to the beach, and leaves everyone else to the investigation.
The first mystery is figuring out when the murder happened. The police arrive, and Ema estimates that the remains are about 30-40 years old, which is around the time the Von Karma family moved out. Since Manfred & Bianka had divorced in 1999, they start to wonder if Manfred had even still been residing here when the murder took place, but the body is found with a train ticket dated for January of 2002. A time period that just so happens to line up with the one singular vacation Manfred took during his entire career— to recover from a gunshot wound that he couldn’t even trust a doctor with knowing about.
The body is wearing a housekeeper's uniform, and they identify her as Ophelia Falsch. They conclude that she was killed because she had discovered Manfred’s injury, and he wanted to eliminate the witness. They think they have the case over and done with, but then Ema comes back with the dental analysis. She explains there was no dental record of an "Ophelia Falsch", but the teeth did match Bianka Von Karma.
This raises some questions. Why was Bianka dressed as Ophelia? Was there a more personal reason Manfred could have killed his ex-wife? Could Ophelia have been involved as well?
Since the murder happened so long ago, they don't even know where to begin with finding witnesses. Karla was 18 at the time of the murder, and had just moved out, so she wasn't present. Edgeworth, of all people, is the one to suggest an unconventional idea: why not ask Von Karma himself?
The manor is in a remote location that's only accessible by train or boat, and since it's late, Maya won't be able to get there until the next morning. In the meantime, they check up on Apollo, only to find him getting scolded by a woman about having his chair on the beach. She explains that she's Karla's daughter, Angelika Von Karma, and that she's impassioned about marine ecology. She just discovered the beach had become a nesting site for an endangered species of sea turtles, and is worried about disrupting it.
The next morning, Maya arrives, and Phoenix and Edgeworth hold a mock trial in the foyer. Manfred is channeled, but is uncooperative, so they try... a different method. Phoenix and Edgeworth perform a reenactment of how they think the murder happened, while Trucy and Athena watch Manfred to see if they can glean any information based on his reactions.
Manfred breaks down and confesses to the murder, but is telling the truth when he says that he didn't know the victim was Bianka; he did, in fact, think he had killed a housekeeper who found out about his gunshot wound. After this, his spirit is released.
As puzzling as this is— who was Ophelia, anyway?— they can't do anymore investigating because Karla has become very upset. The whole ordeal has caused long-repressed emotions to resurface. She's always felt a little bit resentful towards Franziska because their father left Bianka for Franziska's mother, Levina, and always felt like she had her family taken from her. On top of that, Manfred had done everything he could to get full custody of Karla in the divorce, and she never saw her mother again. She's angry that that wasn't enough— he'd gone and killed her too.
Karla and Franziska get into a big fight, and the whole trip ends up cancelled.
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🚂 Case 5: Turnabout Train Car
They all board the train to head home. The mood is really awkward and it's kind of a bummer. Since the train is only way out of the area, Karla has to board as well, albeit in another car.
And because nothing is ever easy, there’s a murder on the train.
The victim was the owner of the train, Diesel Porter. He was found in his private sleeping room, and the only other room on that train car was being occupied by Karla, so naturally, she is accused.
Since Ema and the police are already on the train, they’re able to take control of the situation until the train makes it back to town. The Wright Anything Agency isn’t allowed to investigate the crime scene much, so they opt to interrogate the other odd passengers.
They get a helpful tip from the train’s bartender that Cole Porter, son of Diesel Porter, had been making plans to build a resort. They also find out that the train company had been losing money, since they weren’t getting many passengers.
The next day in court, Phoenix claims Cole killed his father to inherit the company, but Cole denies it because, why would he want to inherit a dying company? And Phoenix turns it around by bringing up the resort plans and how he wanted to build it on Karla’s property. He couldn’t just kill Karla, because then they’d have to take care of Angelika and Franziska too, so they needed Karla to feel like she had no choice but to sell it.
The trial goes to recess and Cole is apprehended for questioning, but at that moment they get word that someone else has just been murdered on the train— the bartender from before.
Phoenix goes back to the train investigate and boards when it’s stopped on the mountaintop station. While he’s investigating the train’s caboose, Cole’s wife, Electra, detaches it from the rest of the train. Cole and his wife were in cahoots! Phoenix is sent hurtling backwards down the mountain in the runaway car, and manages to pull the emergency brake just before reaching the bottom. He’s ended up back by the manor, and calls to have a boat sent to pick him up.
While he waits, he finds Angelika is still here studying the turtles. She gives him permission to go inside the manor again to investigate. He finds the deed to the house, along with an old photo that has a letter written on the back. It’s addressed to Bianka from Levina (Franziska’s mother).
The case is solved when Phoenix proves that both Cole & Electra Porter were involved in the murders. The land becomes protected by the government in order to keep the sea turtles safe, since they are endangered.
After the trial, Phoenix shows Karla and Franziska the letter he’d found. It turns out Levina hired Bianka as a housekeeper under the alias “Ophelia” so that she could still see her daughter Karla. The photo depicts a teenage Karla playing with a baby Franziska. Levina and Bianka had a good relationship, and had made efforts to keep their families together.
Karla and Franziska apologize to each other, and agree to get along better.
Defendant: Karla Von Karma Defense: Phoenix Weird Girl: Athena & Apollo Prosecutor: Franziska Detective: Ema & Godot Witnesses: Train Conductor, Old Passenger, Tain Bartender Victim: Diesel Porter Killer: Cole & Electra Porter
💃 (DLC) Case 6: Turnabout Runway
Klavier has been invited as a guest judge for a fashion tv competition. He invites Pearl (and Apollo) to the shooting as an apology for accusing her for murder & because of their shared interest in fashion. "Lip sync for your life" but literally.
Defendant: Lady Killer Defense: Athena Weird Girl: Pearl Prosecutor: Blackquill Detective: Ema Witnesses: ensemble of drag queens/models, Klavier Victim: Taxi Macabre Killer: Paul Rue
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