#matrix multiplication

[er-cryptid]

Matrix Multiplication - Ex. 2

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[peachdoxie]

I'm sure there's a reasonable explanation for it at the higher levels of math, but why is basic matrix multiplication Like That.

[lionmageaz]

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.

[phoenix-is-the-hottest-thing]

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)

[hannibalismos-jaaneman]

(un)popular opinion: matrix should have been a standalone.

[iwozlegit]

|| 🍍• For real, why do these two images have the same energy ??

[tuunateeth]

hes doing linear algebra👍

danny design is mostly from the amazing @/nicktoonsunite !

[transingthoseformers]

What if we took every character who Optimus Prime mentored (and they're the ones that are often in charge when Optimus isn't or when he's dead) and made them a prime. Simultaneously.

Tfp Smokescreen? A prime. Literally any version of Hot Rod? Rodimus Prime time. Bumblebee? He's a prime now. Sam Witwicky? Yeah he fits the criteria. Beast wars Cheetor? Mmhm he's a prime now.

Literally any character that can be compared to TFA Optimus or G1 Rodimus: they're a prime now. Canonically there were originally 13 primes, i wanna make an au continuity where we get as MANY DAMN PRIMES AS WE CAN and obviously no one is sure if it's an omen or if it's a sign for things being better.

The chaos, the learning leadership stuff, the variety, Primus laughing his metaphysical aft off, so many opportunities for angst and fluff and domestic-ey scenes and arguing and betrayal and healing and yes

[istherewifiinhell]

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

[pulchrasilva]

I fucking love my school the teachers are all such nerds this guy spent a full double period going on tangents about groups and fields and rings and left hand multiplication and I didn't understand any of it and I still don't know shit about matrices thanks to that but at least he was having fun

[pgkadam75]

easy way to find eigenvalues & eigen vectors

[metamatar]

Crowdstrike did this to our production linux fleet back on April 19th, and I've been dying to rant about it.

The short version was: we're a civic tech lab, so we have a bunch of different production websites made at different times on different infrastructure. We run Crowdstrike provided by our enterprise. Crowdstrike pushed an update on a Friday evening that was incompatible with up-to-date Debian stable. So we patched Debian as usual, everything was fine for a week, and then all of our servers across multiple websites and cloud hosts simultaneously hard crashed and refused to boot.

When we connected one of the disks to a new machine and checked the logs, Crowdstrike looked like a culprit, so we manually deleted it, the machine booted, tried reinstalling it and the machine immediately crashes again. OK, let's file a support ticket and get an engineer on the line.

Crowdstrike took a day to respond, and then asked for a bunch more proof (beyond the above) that it was their fault. They acknowledged the bug a day later, and weeks later had a root cause analysis that they didn't cover our scenario (Debian stable running version n-1, I think, which is a supported configuration) in their test matrix. In our own post mortem there was no real ability to prevent the same thing from happening again -- "we push software to your machines any time we want, whether or not it's urgent, without testing it" seems to be core to the model, particularly if you're a small IT part of a large enterprise. What they're selling to the enterprise is exactly that they'll do that.

from hn thread

[debopamghosh]

Compiled List of my Research articles on Spacer Matrix based Generalized Matrix multiplication and other applications and on studies on M(r, c) subsets of Complex Matrix Spaces:

1. A Matrix Property for comparative assessment of subsets of Complex matrices characterized by a given set of Global Mass and Global Alignment Factors

International Journal of Innovative Science and Research Technology, Volume 6, Issue 1, pp. 599 - 602

2. A Mapping scheme for mapping from subsets of Complex Matrix spaces characterized by a given set of Global Mass and Alignment factors to the set of Hermitian, Positive definite and Positive Semidefinite, Unit trace, Complex matrices of order 2

International Journal of Innovative Science and Research Technology, Volume 6, Issue 1, pp. 603 - 607

3. A Generalized Matrix Multiplication scheme based on the concept of Embedding dimension and associated Spacer Matrices

International Journal of Innovative Science and Research Technology, Volume 6, Issue 1, pp. 1336 - 1343

4. A Mapping framework for mapping from subsets of Complex Matrix spaces of order m by n to subsets of Complex Matrix spaces of order J, where J >= 2

International Journal of Innovative Science and Research Technology, Volume 6, Issue 3, pp. 475 - 483

5. The concept of Spacer subspaces associated with Complex Matrix spaces of order m by n, where m not equal to n

International Journal of Innovative Science and Research Technology, Volume 6, Issue 4, pp. 39 - 42

6. An application of Spacer matrix based Matrix chain propagation: associating Complex infinite sequences with elements of M( r, c) subsets of Complex matrix spaces of order m by n, where m not equal to n

International Journal of Innovative Science and Research Technology, Volume 6, Issue 4, pp. 177 - 183

7. An Iterative evolution scheme on M(r, c) subsets of Complex Matrix spaces of order m by n, where m not equal to n

International Journal of Innovative Science and Research Technology, Volume 6, Issue 6, pp. 388 - 394

8. The concept of Global Baseline Matrix and Baseline matrices associated with elements of M(r, c) subsets of Complex Matrix spaces of order m by n, where m not equal to n

International Journal of Innovative Science and Research Technology, Volume 6, Issue 7, pp. 210 - 217

9. A Mathematical scheme defined on strictly rectangular Complex matrix spaces involving Frobenius norm preservation under the possibility of Matrix Rank readjustment and internal redistribution of Variance using Spacer component matrices and a Completely Positive Trace Preserving Transformation

International Journal of Innovative Science and Research Technology, Volume 7, Issue 10, pp. 591 - 602

10. The Analytical Expressions for the Spacer Matrices associated with Complex matrix spaces of order m by n, where m not equal to n, and other pertinent results

Article DOI: 10.13140/R.G.2.2.23283.45603

11. Construction of an analytical expression to quantify correlation between vectors belonging to Non-compatible Complex coordinate spaces using Spacer matrix components and associated matrices

Article DOI: 10.13140/R.G.2.2.17857.68969

12. The formulation of Critical subspace and Extended Critical subspace associated with matrices of Complex matrix spaces of order m by n, where m not equal to n

Article DOI: 10.13140/R.G.2.2.13862.60488

13. Quantification of Intrinsic overlap in matrices belonging to strictly rectangular Complex matrix spaces, using the Spacer matrix components and associated matrices

Article DOI: 10.13140/R.G.2.2.18405.06886

14. A compilation of the Analytical expressions, Properties and related Results and formulation of some additional mathematical elements associated with the Spacer matrix components corresponding to strictly rectangular Complex matrix spaces

Article DOI: 10.13140/R.G.2.2.31777.89446/1

15. Quantifying correlation between vectors belonging to Non-compatible Real coordinate spaces using a Mathematical scheme based on Spacer Matrix components

Article DOI: 10.13140/R.G.2.2.26336.76805

( D. Ghosh)

[devine-fem]

If you wish to get into Spideypool or write for them then this is a masterlist of all ‘Spideypool’ evidence of Wade Wilson or Peter Parker being astrangly interested in each other. This took me forever... please don't flop. If I miss anything please let me know, I'll edit this list as soon as possible.

1. When bound against Spider-Man, Deadpool gets... excited for lack of a better word and even more so when Spider-Man yells at him.

2. Deadpool has a celebrity crush on Spider-Man like young teenage boys would crush on various female actors, but instead Wade Wilson had Spiderman, I guess.

3. Wade Wilson owns a plethora of Spider-man merch, plushies, blankets, posters, underwear, belts, he has them.

4. There are two official variant covers that display Deadpool and Spider-man recreating the upside-down kiss… this is technically not canon due to them being variant covers, but they can be if you want.

5. When someone asks Deadpool about the relationship he has with Spider-Man he either says they are best friends or lovers.

6. Wade is jealous or envious of Peter’s bond with Johnny Storm.

7. Wade comments multiple times about how tight Spider-Man’s suit is and how nice his butt is.

8. Wade has called Tobey Maguire cute.

9. There are mutliple occasions of pedestrians in the marvel universe assuming Spider-Man and Deadpool are some sort of couple.

10. When Deadpool is asked about a romantic date… he imagines him and Spiderman sharing a candlelit dinner together…

11. It’s important to remember that Spider-Man is a grown man. Yes, Deadpool flirts a lot, but he is flirting with another adult that he is sexually attracted to, and this is not a crime, he’s not harassing Spider-Man in any way and if Peter felt like he was then he can also be an adult and tell Wade to stop which he never does.

12. Deadpool most of the time does not know that Peter Parker is Spider-Man so when Wade flirts with Spider-Man, he’s mostly attracted to the idea of Spider-Man he has in his head and when he’s in the position to know Spider-Man’s identity, he always refuses and even protects his identity from being known by other people. + Forehead kiss.

13. Wade has a list of people that he would cheat on his wife with. It’s a list of people he’d be given a free pass to have sex with if he’s given the chance. Most people on this list are woman but the last person is Spider-Man, this is one of the biggest nods towards Deadpool’s sexuality because it’s set in stone that if given the opportunity, he would have sex with Spider-Man, while knowing that he’s a man.

14. Wade has pictures of him and Spider-Man together in his house.

15. Spider-Man keeps pictures of him and Wade on his phone… for reasons… I don’t know why.

16. They have one biological child together called ‘Itsy Bitsy’ and another they adopted called Matrix.

17. Wade doesn’t hesitate to protect Spider-Man.

18. Ryan Renolds and Andrew Garfield have kissed before. Not really evidence, I just think it's funny.

19. Deadpool loses his wife because of how much time he’s devoted to Spider-Man, instead of her. She even calls him out on his crush, he legitimately loses his wife because of his relationship with Spider-Man due to her feeling like she’s third wheeling.

20. Marvel ships it.

21. Asking Spider-Man for a kiss, an upside-down kiss that is and I mean, if you count the variant covers as canon then sure, yeah, never say never Spidey.

22. Wade would die with Spider-Man (and he gets to prove this later)

23. Spider-Man’s touch, voice and smell all seem to calm Wade down. 24. There's an issue in a Deadpool comic literally just called "Spideypool." 25. Wade references fanfiction, fanart and says Spideypool out of his mouth multiple times so he's very aware that this exists. 26. There's an alternate universe where they are old man in an apocalypse. 27. Deadpool's villains are well aware that he has a weak spot for Spider-Man and uses this against him at times. How cute is that? 28. Spider-Man is Wade's special boy... dude, this is so fanficy... 29. Okay, so, the heartmates thing. A group of people use magic to try and summon Deadpool's heartmate to try and get to his wife, I'm not entirely sure what a heartmate is but I'm pretty sure it's a 'one true love' type of thing and yes, this summons Spider-Man, so unless Wade's 'gay jokes' have tricked the concept of magic as a whole, that's pretty on the nose. 30. Wade has seen Spider-Man naked... I'm pretty sure that is what this is implying. 31. Peter does find Wade genuinely annoying sometimes, but he never voices this to Wade directly but the funniest thing is... Peter's attitude to Wade is like a 'he can only get on MY NERVES!' type of thing. 32. Peter genuinely gets worried for Deadpool when he gets hurt even though he has a healing factor, he even takes care of him when he's healing after a mission. 33. Peter gets magicked into thinking Wade is attractive. NOW LET'S GET INTO THE SAD AND EXISTENTIAL STUFF! 34. One of Wade's bigger character arcs is when he tries to become a hero like Spider-Man. He admires Spider-Man, he puts him on a pedestal because he does the right thing without hurting anyone and he's admired for it. To be honest, we did just go through a bunch of cute fanficy moments but this moral back and forth between the two is definitely the gayest thing they've done. 35. Weirdly Peter is trying to actively force himself to hate Wade, but he can't find it within himself to dislike him. I think that his mean comments toward Wade are definitely more of an act because the behavior that Wade displays remind him of things he dislikes within himself. Peter also has been betrayed multiple times throughout his life by people he thought he could trust so he has a hard time allowing himself to trust Wade. Meanwhile Wade feels jealous of what he assumes is a relationship between him and Peter Parker that could possibly be romantic, yes, Wade does think Peter Parker and Spider-Man may have been dating which is why Spider-Man is so protective of Peter Parker which causes Wade to get jealous. 36. Wade and Peter actually become friends very easily which is something that people complained about when this comic was still just coming out. Eventually, because Wade is convinced Peter Parker is an evil doer, he kills Peter Parker (Spider-Man) which causes Spider-Man to revoke their friendship and feel betrayed by Deadpool. Peter assumes that Wade falsified their entire friendship just to get to Peter Parker and kill him, he eventually finds out this was a mistake and brings Peter Parker to life which is around the time where Wade's wife leaves him. Now, because of Peter, Wade is using rubber bullets and refusing to kill people. It's important to remember that Wade in the past, has mentioned that killing was all he had, and he gave that up for Spider-Man, to prove himself to Spider-man. This is a huge thing for Wade, killing was one of his most defining traits but it also made him hate himself, but he's willing to change for Peter.

Is it... wrong of me for kind of finding the fact that Peter has worked to help Deadpool stop killing but this ultimately culminates as Wade killing Peter, like biting the hand that feeds you... is it wrong that I find this tragically romantic...? I need so much therapy. 37. Wade explains that he was just trying to protect Spider-Man which is one of my favorite moments between the two.

38. Peter eventually forgives Deadpool, and they go after the person who put a hit on Peter Parker.

39. When Peter’s mad at him… he doesn’t exactly… hate it? I guess.

40. Wade has a little "What would Spidey do?" wristband. That's adorable. 41. Wade describes his new morality as the best thing that's ever happened to him and one of the biggest things that motivate him to be better is because someone (spidey) genuinely believes that he can get better. He mentions that if Spider-man was to die or leave him then there would be no point in getting better which is so sad to me.

42. Spider-Man has a bad habit of easily forgiving people. Spider-Man has a hero complex and believes that everyone can be saved, even when told to his face that Deadpool is not the type of person that can be save, he defends Deadpool and rejects this idea.

43. When Wade does the right thing Peter tells him that he's proud of him and this is also a big motivator for him. He feels better if he's told someone notices his efforts and feels neglected if they don't.

44. Speaking of tragically romantic, Peter starts to question his morality because he finds out that there's a hole in his life that seemingly can't be filled with doing the right thing anymore. He lets himself slip away and contemplates killing itsy bitsy which he commits to doing but Wade tries relentlessly to stop him.

He ends up killing Wade because he finds that his ongoing worship of him makes him feel guilty. 45. Wade doesn't stop trying to get Peter to stop.

Ultimately Peter beats him in the fight and to stop Peter, he sacrifices himself. He kills Itsy Bitsy instead so Peter can't. He gives up his morality, something that meant the world to him, for Peter, once again. Peter feels immensely guilty for this and promises to make it up to Wade somehow. It's also implied that Wade fills that gap in Peter's life that he's missing.

46. This is from a different writer so it's a little inconsistent, basically because of Wade's new morality, he stops making as many jokes, starts to become more serious and eventually gets to really be alone with himself and his problems which causes him to dislike the version of Wade Wilson he's become because of Spidey. It's like Peter makes him see parts of himself that he dislikes a little bit clearer, and he loses hope, he stops believing that he can actually become better. Cameleon, a villain at the time fakes Deadpool killing someone, Peter believes this - which hurts Wade due to how little faith it seems Peter has in Deadpool. He blows up in Peter's face and says that he did all of this for him, and he doesn't really care about letting everyone down... except him, he feels extremely guilty for some reason when he lets Spider-Man down.

47. Eventually, Peter finds out that Wade did not kill someone and apologizes to Deadpool which is important because it means Peter cannot wrong Deadpool without the narrative making sure he makes amends for his actions. Deadpool sometimes is very vexing, and this is not necessarily entirely Peter's fault for getting aggravated with him. Deadpool does this on purpose, he has low self-esteem and sometimes uses his behavior as a way to push the people he cares about away, whether it's to protect them or to keep himself from getting hurt. Wade has communicated this to Peter before and Peter very sweetly affirmed him. 48. Wade has a daughter named Ellie that he keeps far away from him because he does not want her getting in the middle of his mercenary business and getting hurt. He says that one day when he's ready to put this mercenary stuff behind him then he'll be ready to take care of her properly. Wade introduces his daughter to Spider-Man, and she says that she loves Spider-Man and Daddy talks about him all the time which Wade adorably gets embarrassed by. 49. Peter goes out of his way to hang out with Wade. 50. Theres this huge arc of future!Wade Wilson coming back from the future into the past to stop things from going so wrong in the future. This might be confusing but basically, this whole arc is about how Wade refuses to live without Peter and without Peter's permission, gives up some of his healing factor to keep Peter alive way past his due date. He outlives every person he knows and the only person he has is Deadpool. He even gives up being Spider-Man until busting a robbery motivates him to be Spider-Man one more time which he spends that time with Deadpool. Peter almost dies once again and to save Peter, Deadpool gives up more of his healing factor to keep him alive. It's so strange to me that Wade refuses to live without Peter but what's even stranger is that it's revealed that Peter knows Deadpool is keeping him alive and never stops him. These two are so weird about each other. This eventually culminates with the both of them dying in each other's arms, I kid you not. 51. So, Wade and Peter, long story short, stops this future from happening which is the second the last arc. The last last arc is them defeating the concept of the third wall I believe...? 52. Another thing that is EXTREMELY important to note is that Wade and Peter are canonically established friends right now. During the last 10 issues of their solo comic they become friends, set in stone, no going back on that. Peter finally accepts Wade as he is, and they go on a little adventure together. There's no point in saying Peter doesn't like Wade or Wade doesn't like Peter. Peter and Wade's friendship developed over time, there's no need to try and erase their friendship. Peter likes Wade now; he stops pretending to be annoyed with him, he cheers him on, and he compliments him regularly. He even trusts Wade enough to reveal himself as Peter Parker. Peter and Wade's friendship was very similar to Johnny Storm and Peter Parker's, both hated each other at first but then slowly became good friends. There's no point of putting Spideytorch and Spideypool against each other when they are so similar. 53. Wade thinks Peter is handsome. 54. Peter thinks Wade is a hero. 55. One of my favorite moments because I am CRAZY. Wade dying for Peter without hesitation and Peter being devastated. This happens almost right after Peter reveals himself as Peter Parker. 56. Wade has eaten Peter before, if you're into that Cannibalism being a metaphor for love type of thing.

57. Wade has called Peter 'baby boy' and "bambi' but these things have happened literally one time before and have become extremely overused. Wade has plenty of nicknames for Peter, let's mix it up a bit. 58. Marvel's little animation for the both of them. 59. They've interacted in Ultimate Spider-Man before.

60. Peter has a fever dream… Deadpool is crossdressing in it.

61. Deadpool gets put into a falsified reality where everything is his version of perfect, this is a villians way of getting information out of Deadpool while using his favorite things as leverage. In this reality, fake!Spider-Man tries to get information out of Deadpool by bribing him with sex. I kid you not.

62. His little “Make Spidey mine, Marvel!” Badge. He’s so down bad.

63. The entirety of Deadpool (2013) Issue #10.

64. The official Deadpool manga where Deadpool contemplates asking Spider-Man for a dirty favor.

65. Deadpool’s random little Spider-Man keychain at the handle of his Katanna.

Or, y’know, reading their duo comic: Spider-Man/Deadpool (2016) would also basically tell you everything you need to know about their dynamic if you need somewhere to start. I hope this helped to refresh anyone’s mind on things as well.

Again, if I missed anything cute, please let me know. I’ll edit it as soon as possible.

[dedalvs]

When looking at natural languages, have you ever found a feature that really surprised you?

All the time—and in every language! There is no language—even the big ones that are so widely spoken that they're thought of as "normal"—that can be described as basic or boring—no, not even languages like English or Spanish or German. Every language has something exciting—multiple somethings.

For the latest, here's something weird. In Finnish, numbers trigger singular agreement on the verb. Observe:

Hiiri juoksee. "The mouse is running."

Hiiret juoksevat. "The mice are running."

Viisi hiirtä juoksee. "Five mice are running."

Okay, this make sense so far? Hiiri is "mouse", hiiret is "mice", and we have the agreement on the verb as either juoksee for singular ("is running") or juoksevat for plural ("are running"). The number five is viisi and it causes the following noun to be in the partitive singular, which is hiirtä (think of it like "five of mouse"). "Partitive singular?" you say. "Why, that's why the verb is singular!" Okay. Sure. A fine hypothesis.

Now let's look at relative clauses.

How about "The mouse who is running is small"? Sure. Here it is in singular and plural:

Hiiri, joka juoksee, on pieni.

Hiiret, jotka juoksevat, ovat pieniä.

There we are. I am 99% sure that is correct (where I'm unsure is the predicative adjectival agreement and I won't speak to how common this type of relative clause structure is).

Now, knowing what we do about the five mice above, you might expect you'd get singular, but...

Viisi hiirtä, jotka juoksevat, ovat pieniä.

Okay, going out on a limb on this one, but I am fairly certain this is correct. That is you get singular plural agreement with the matrix verb suddenly (?!) but also plural agreement with the relative clause. You have to get a plural verb because it's agreeing with jotka, but why do you get jotka instead of joka?! It's plural enough for a relative pronoun but not for a matrix verb?! How weird is that?!

So yeah. Unbelievable stuff happening in every language every single day. Somewhere right this very moment some language is doing something no language could EVER possibly do—and yet there it is, happening all the same! What a wonderful world we live in. :)

Update: Finnish speaker has offered corrections and it’s just weirder now.