#math research

[art-of-mathematics]

The fano plane in Octonian algebra - hypercomplex numbers [8D]

Octionions are non-commutative and non-associative, say, the order of calculating is important.

x·y ≠ y·x (non-commutative),

x·(y·z) ≠ (x·y)·z (non-associative)

For multiplication in the fano plane, you take two neighbouring elements on a line and the resulting value is the third element that closes the loop. Moving with arrows gives a positive value, moving against arrows gives a negative value.

Interestingly the symmetry on those values is still there, only inverted. As example:

e_3·e_4=e_6 and e_4·e_3= (-e_6)

Hence:

e_n·e_m=e_l and e_m·e_n= (-e_l)

This inverted symmetry, or antisymmetry, could be what I refer to as the anthitetics states, the butterfly clones in information weaving/butterfly progression.

#math #mathematics #fano plane #hypercomplex numbers #numbers #octonions #octonion algebra #math research #antisymmetry #symmetry #information weaving

[milli0n-dollar-fool]

This has probably been said before but good omens had made very clear aziraphale and Crowley's relationship at the end of season 1 for any doubters

Here Crowley says 'time to leave the garden,' like God had said 'the story ends as it began - in a garden,' not just referring to Adam young. The Garden of Eden represented their responsibilities as angel and demon, especially their very first responsibilities. Leaving the garden means leaving it all behind.

When they met in Berkeley Square, they met no longer as angel or demon but as lovers, 'the first meeting of two lovers in Berkeley Square.'

Gonna go scream now

#guess who finally did their research #rewatching the first season instead of studying for my math exam tmr #this has probably been done before #good omens season 2 #good omens #good omens season 1 #good omens 2 #good omens show #aziracrow #aziraphale x crowley #aziraphale #crowley x aziraphale #crowley good omens #ineffable idiots #ineffable husbands

[reality-detective]

Mathematics 🤔

#pay attention #educate yourselves #educate yourself #knowledge is power #reeducate yourself #reeducate yourselves #think about it #think for yourselves #think for yourself #do your homework #do some research #do your own research #question everything #ask yourself questions #mathematics #math #teach right #school system #educational system

[psumnt-studentcouncil]

Iris is good at noticing patterns.

#murderbot #the murderbot diaries #tmbd #secunit #asshole research transport #perihelion #artmb #iris tmbd #seth tmbd #martyn tmbd #the math is mathing #Iris now has a sec unit in law I suppose #murderbot fanart

[catscomputerscreativewriting]

Today on episode 8923173289119 of "Programmers Should Not Be Allowed To Name Anything Ever Again":

(The paper in which I found this citation: https://dl.acm.org/doi/pdf/10.1145/3236797)

(The actual paper: https://link.springer.com/chapter/10.1007/978-3-540-27764-4_6)

#stem #academics #academia #computer science #theoretical computer science #haskell #research #math #mathblr #mathematics #stemblr #technology

[bluebirdcurse]

It's so awkward how they have a cannibalism control group...every day Coach lives is another day they kind of didn't need to eat Jackie. They're drawing lots for their next meal while he's out hiking.

#i read a book on the donner party where the author does some caloric math and is like they really jumped the gun on cannibalism #god i'd love a reading list from the yellowjackets writers. you know the research phase was bananas #yellowjackets #they haven't even gone thru all the belts! they're just starting to hallucinate! #they know javi was eating something out there but dealing with him is a whole Thing let's jump straight to murder

[lexosaurus]

The Phantom Martian: Chapter 1

Huzzah! I am here to provide a fic for Invisobang 2023!

This is a crossover between The Martian and Danny Phantom. You do NOT need to have read or watched The Martian to understand this fic (though, I recommend it because it's amazing!)

xxxx

Summary: When Astronaut Mark Watney went to Mars, he knew there was a chance he'd never come home. Now, though, he's determined to last long enough for NASA to save him because this whole dying for science thing is not as fun as it sounds.

Meanwhile, Danny Fenton is just trying to keep his identity a secret amidst a potential crisis with his powers. Seriously, what's up with that weird current under his skin? Why is he having so much trouble controlling it? And why does it feel so familiar...?

In a fit of determination (and possible stupidity), Danny goes to Mars to save Watney, only to add to both their crises when he arrives and can't get home. Will NASA save them? Will Danny have a home to return to if they do?

Chapter WC: 6,186

Fic Tags: Danny Fenton & Mark Watney, Canon Divergence, Ecton AU

Art by @pompomqt (it's so freaking good AHHHH!) Art by @friendzoned61 (screaming sobbing this is amazing)

xxxx

I am going to be updating a chapter each day of this posting week, and then I'll settle into a normal weekly/biweekly posting schedule.

I go into more detailed thank yous on AO3, but quickly I'd like to extend a hugeeeee thank you to @armed-with-knitting-needles, @bibliophilea, @lexiepiper, and @underforeversgrace for aiding in this fic. Between sitting on discord with me for hours doing math, betaing my infamous spelling habits, and in general providing much needed support in the form of memes, graphs, and good humor, these people are all AMAZING and I am forever in all of your debts 🙏

Since I'm not posting the chapters themselves on Tumblr, I put a preview excerpt under the cut! Enjoy!

xxxx

It had been a day since the news about the disastrous Mars mission was released.

NASA's website where satellite images of the Ares 3 camp were published had gotten so much traffic that the server went down for twelve hours.

Everyone wanted to see it. The wind storm. The camp in ruins. 

The aftermath.

Of course, NASA wasn't pointing their satellites at Ares 3 anymore. There was no reason to now that the surviving five crew members were well on their way back to Earth in the Hermes . 

God, what Danny would give to see the inside of that ship. If it was on Earth, the temptation to fly down to Cape Canaveral and invisibly peek inside would have easily won him over. But unfortunately, the Hermes has never been to Earth. It wasn't powered by regular rocket fuel, it was powered by ion engines — whatever that meant. 

All Danny knew was that the Hermes needed to be assembled in space instead of on Earth. It was shipped up chunk by chunk to the International Space Station where it was put together in orbit.

Which was just rude. 

#danny phantom #the martian #invisobang 2023 #phicc #my writing #Ecton AU #we did. so much math. #soooooo much math #and research too #i literally have a folder of research papers on my desktop #i could have written citations in this fic #after IB is over...we'll probably do a full writeup of all the ectoplasm science #but for now #please enjoy this monstrosity of a fic

[courtrecord]

#pls reblog #this is important research #polls #birds #math

[meteorherd]

mentioned one of THE most famous linguistic psychologists ever in my GRADUATE LEVEL psych class during discussion and everyone looked at me like i was crazy, asked me who the fuck that was, and proceeded to start talking about tiktok and taylor swift. girl it’s so fucking over

#வார்த்தைகள் #NO ONE KNEW WHO CHOMSKY IS LIKE YOU HAVE ALL TAKEN FOUR YEARS OF PSYCHOLOGY…. #it’s actually like. terrifying how people in my field are just refusing to engage with it. #psych is just like. social media and celebrities and making fun of the mentally ill for them. #like genuinely no one gives a shit about using their research to help people it’s so bleak. #also this class just sucks. we’ve had fucking ‘debates’ about the barbie movie and girl math and girl dinner before. 😐

[miss-biophys]

Shortest math paper ever.

And with so much impact! It just disproved a widely accepted theorem from the year 1769 in 5 rows!!!

I'll never publish anything even remotely badass like this! But I want it so much!!!

#badass #badass science #science #research #mathematics #math #stem #scientific writing #publication #academia #cool science

[agents-of-aesthetic]

[Nov 17, 2022] preparing calculus notes for my tutoring hours & admiring the snow

#neurocrow #aesthetic #biomedical #neuroscience #student #college #laboratory #research #studyspiration #stem student #chemistry #study #studybrl #math #calculus #notes #snow #dark academia #acadamia

[twerkbook]

so I’ve taken up doing college work for extra money.

I dropped out of college 100 credits in to work in retail.

I’m an autistic former valedictorian and can get an A on any 100-200 level assignment

Send me a message if you need help.

#college #final exams #tutor #math help #writing help #essay writing #help #research #paper

[getousatoruu]

Gojo who is book smart vs Geto who is street smart

#I know Gojo’s nerdy ass is in physics and maths #while Geto more like street smart like that Okinawa scene he literally researched on the entire ass island so they could have a safe trip #that’s street smart #jjk #jujutsu kaisen #geto suguru #gojo satoru

[foolishlyzephyrus]

———

This was a very silly goofy post I enjoyed but it also sparked genuine curiosity: how accurate is this? I’m a data hound, so I did some fact checking. Please be aware I am by no means an expert and this was simply a result of some cursory investigating and inputting stuff into a calculator.

For RTD, I took it to mean any episode title that was singular. Only eight out of the sixty episodes of RTD’s run have one word titles, with six having two syllables (Dalek, Doomsday, Gridlock, 42, Utopia, and Midnight) and the other two being monosyllabic (Rose and Blink). That’s roughly 13% of his episodes. Definitely a trend but he was actually quite creative with his titles. Here’s some other fun statistical stuff: the most popular words in episode titles appear to be ‘dead’ (The Unquiet Dead, Forest of the Dead and Planet of The Dead), ‘planet’ (Impossible Planet, Planet of the Ood, Planet of the Dead) and ‘time’ (Last of the Time Lords, End of Time Part 1 and End of Time Part 2) occurring at about 5% each, with ‘earth’ and ‘doctor’ occurring twice each respectively.

For Moffat, I went a little more broad, considering any episode that used the naming convention ‘of’/‘of the’ or featured ‘doctor’ in any capacity. Out of the eighty-four episodes in his run, twenty six filled the criteria, that’s about 31%. Eighteen adhered to the ‘of’ requirement (Victory of the Daleks, The Time of Angels, The Vampires of Venice, Day of the Moon, Curse of the Black Spot, The Wedding of River Song, Asylum of the Daleks, The Power of Three, The Bells of Saint John, The Rings of Akhaten, Journey to the Center of the TARDIS, Robot of Sherwood, In the Forest of the Night, The Husbands of River Song, The Pyramid at the End of the World, The Lie of the Land, The Empress of Mars, and The Eaters of Light), four contained the word ‘doctor’ (Vincent and the Doctor, The Doctor’s Wife, The Doctor, the Widow and the Wardrobe, and The Doctor Falls), and four fit into both categories (The Name of the Doctor, The Day of the Doctor, The Time of the Doctor and The Return of Doctor Mysterio; it’s funny once you realize that Name, Day and Time were all released sequentially). The claim is thereby substantiated, the man loves his ‘of’s’.

Chibnall’s criteria was difficult to discern but I decided on anything that contained the name of a Who monster classic or otherwise, was a part, or similarly used ‘of’/‘of the’. My findings were quite interesting as there was bunch of overlap between my selected categories. As a whole, out of the thirty-one episodes in Chibnall’s run, eighteen fit the criteria. That’s an overwhelming 58%, so it is most definitely correct assumption. In terms of part episodes, there were eight as there are two proper parted episodes (Spyfall, Part 1 and Spyfall, Part 2) and the serialized six-episode Flux series. Thirteen episodes contain ‘of’/‘of the’ with six exclusively using ‘of’/‘of the’ (The Demons of the Punjab, The Battle of Ranskoor Av Kolos, Nikola Tesla’s Night of Terror, The Haunting of Villa Diodati, Chapter Five: Survivors of the Flux, Power of The Doctor). This is where it gets interesting, as the remaining seven episodes containing ‘of’ are all the Who monster episodes (Ascension of the Cybermen, Revolution of the Daleks, Fugitive of the Judoon, Chapter Two: War of the Sontarans, Chapter Four: Village of the Angels, Eve of the Daleks, Legend of the Sea Devils). It would appear that Chibnall is an equal fiend for ‘of’s’, especially considering the monsters. So, very on brand for classic who naming conventions as well.

To conclude, it was a largely factual silly goofy post (props to @fanonical) and I enjoyed my little data collection exercise.

#doctor who #dw #dr who #steven moffat #rtd #chris chibnall #new who #episode data #i don’t know what research demon possessed me but here we are #i am normally not interested in statistics #i am not a math guy until it’s something i am interested in #please appreciate this rabbit hole i went down

[thegreateggbandit]

… what

… WHAT

World War I?!?! NANCY HOW OLD ARE YOU?!?!!?

#i’ve ​watched this show 5 times and not once even thought about this #according to my very bad maths skills #she’s over 103 years old! #thats from 1914 to 2017 #so she’s EVEN OLDER #do her cookies give immortality? #nana HOW?!?!? #3below #nancy domzalski #troll hunters #immortality cookies #done some more research #the Fandom website says she’s allegedly 100+ #DOES ANYONE EVEN KNOW? #TOA #… I think #I mean the series are linked #eh I’m doing it anyway

[kazamajun]

Did Kazumi want Kazuya killed?

I like Kazumi a lot as a character. Her design and music themes are bangers. One thing just always bothered me though, how she seemingly loved Kazuya but then requested that Akuma kill him back when he was only five years old. So I did a little investigating to try and make sense of it, rewatching both the story mode and intros and old trailers, and what I turned up was quite interesting.

Evidence for:

Akuma's pov flashback where Kazumi says "Kill him for me... And also... Kazuya..."

Akuma seems to believe it's what she wanted, and is how he interpreted the promise to Kazumi.

Evidence against:

The wording and phrasing is questionable. "Kill him" ... "and also" - why not just say "kill them" if she meant both? Additionally, ellipses are most often used to indicate omissions of words. What is being cut out?

This is perhaps answered where we get a more fleshed out version of the scene, like the 2014 SDCC trailer. The same footage is also in Japanese here, if you'd rather spare yourself the English dub. Transcription of dialogue: "If I die, if I can't stop Heihachi, then you must do it for me." "Kazuya? That boy is still too young. And Heihachi will soon realize that he was born with my powers. Heihachi is more powerful than you realize. Who knows what Heihachi will do to Kazuya or to countless others? It is up to me. I must stop Heihachi." "Even if this power consumes me and kills me in the process." No mention of killing Kazuya, in fact she seems concerned for his welfare. Why worry about him like this if she's asking for him to be killed? Evo 2014 reveal trailer transcription: "You're here. That must mean the time has come. Kazuya? I must stop him. I must stop Heihachi. By now I'm sure that Heihachi has realized he was born with my powers." Similar to the SDCC one, just shorter, as this one came out first. And again the same implication that she's worried about Kazuya's fate. From the PS4 opening cinematic: "My beloved Heihachi will inevitably engulf the world in war and destruction resulting in the loss of many innocent lives." No Kazuya mention at all.

Kazuya himself does not seem to believe it. He calls it absurd and laughs, and in the final confrontation with Heihachi, Kazumi's theme plays towards the end of this whole sequence. Also while not in the story mode; in the opening cinematic (and also in the trailers linked above) Kazuya says "You killed my mother!" before their fight, indicating that he is avenging her.

Kazumi has a reason for wanting Heihachi dead. The Hachijos sent her there as a 'sleeper agent' of sorts to take Heihachi out if he became a threat to the world, which he does after killing Jinpachi and taking control of the Zaibatsu. Kazuya, being a five year old, is no such threat obviously. It does not make any logical sense. If the Hachijos were in the habit of killing their own offspring, their lineage wouldn't go far. And if him being Heihachi's son was the concern, why even have him? Additionally, she genuinely loved Kazuya, something even Heihachi admits. Either way, a young child does not fit the profile of the 'scum' that the Hachijo apparently try to wipe out.

Miscellaneous:

Heihachi seems not to believe it initially; although his reason for questioning it is purely the passage of time as Akuma waited over 40 years to fulfill this promise.

A potential thought as to why Kazuya was perhaps not mentioned as one of Akuma's targets in the other cinematics occurred to me as perhaps it being a plot point that they wanted to keep under wraps, but this was easily debunked by the story trailer a few months before the console release, showing the fight between Kazuya and Akuma. There is also a showdown between them in a 2016 trailer that matches neither of the story mode battles.

If Kazumi thought that Kazuya needed to be killed, she could theoretically have done it herself, easily. After her illness that activated her devil gene, Heihachi believed she was not in control of herself and she supposedly never remembered her attacks on him after she went back to 'normal'. And yet, during those times, her target was only ever Heihachi. If Kazuya was supposedly a threat to be ended too - why did that never happen when she lost control?

Late addition/edit: In Akuma's reveal trailer, the wording is altered again to "And also unfortunately, my dear son Kazuya" but this line is said AFTER Akuma has made the promise to Kazumi to repay his debt. And again, it is vague. Unfortunately Kazuya what? Unlike all the lines re Heihachi, she never actually says he must die. A potential reading of this could be that Kazumi felt Kazuya would be better off dead than suffering whatever Heihachi would do to him -- but then, if the goal was a mercy killing, waiting 40 years after the damage has already been done makes NO sense.

Conclusion:

It is my personal evaluation that Akuma most likely misinterpreted Kazumi's words (or perhaps misremembers them as it's been decades - hence why the dialogue in the flashback is an abrupt and chopped-up handful of words vs the more extensive scene seen elsewhere) and that her wish was for Heihachi to be taken down for the sake of the world, and her son. Akuma, being who he is, would lean towards interpreting any kind of ambiguity as referring to violence and death.

In an out of character sense, the vibe I get is that originally Akuma's hit list was only supposed to be Heihachi but at some point late in development they decided they wanted to have a Kazuya vs Akuma fight added in too hence that no-context bit in the 2016 trailer that doesn't match any scenes in the actual final story; and then the mangled flashback of Akuma's happens in the story mode to facilitate the fights that happen in the final version of the game.

But in an ic sense, Akuma misinterpreting Kazumi seems the most likely to me. I don't think he was deliberately lying, his vibe is sincere enough and he calls her Kazumi-dono which shows great respect. IMO, it's good to remember that characters can be wrong about things sometimes and that just because they believe something that doesn't necessarily mean that it is true.

#val talks tekken #guess it was time i made a tag for these specific rambles #i watched every single trailer i could find even ones not mentioned in this post bc they didn't have any kazumi lines #genuinely i tried to be unbiased here and the more i researched the more the math just wasn't mathing to be honest #also kaz being an unbothered king that loves his mom and avenges her even after being told something horrific. personally i love to see it. #meta #tekken