Arpie4Math

@Arpie4Math@mathstodon.xyz

SW Engineer, Amateur mathematician (contributed to metamath.org, oeis.org, ...), Legal Tourist (went to Honolulu in 2010 to watch the end of Sancho v. DOE).

This profile is from a federated server and may be incomplete. Browse more on the original instance.

ColinTheMathmo, (edited ) to random
@ColinTheMathmo@mathstodon.xyz avatar

Seen on Twitter, I think this is a brilliant question (and you can use that to calibrate your beliefs about what I will find interesting):

Given that (p(x)) is a real polynomial of degree (\le4) such that one can find five distinct solutions to the equation (p(x)=5), what is the value of (p(5))?

(A) 0
(B) 1
(C) 4
(D) 5
(E) Cannot be determined from the information given.

Please PLEASE do not give it away in the replies ...

Please ...

Arpie4Math,

@ColinTheMathmo

If p(x) is a polynomial of degree at MOST 4, then p(x) - 5 is a polynomial of degree at most 4 which evaluates at zero at more than 4 distinct inputs, then it must evaluate to zero at all inputs as thus p(x) is the constant polynomial 5.

Thus p(5) = 5.

proof: label the 5 inputs $( a_1, a_2, a_3, a_4, a_5 $) then the polynomial $( p(x) - 5 $) can be divided by $( (x - a_1) $), leaving a polynomial of degree no more than 3. Continuing, $( (p(x) - 5)/( (x - a_1)(x - a_2)(x - a_3)(x - a_4) ) $) must be a polynomial of degree no more than zero. A constant polynomial. Thus $( p(5) - 5 = p(a_5) - 5 = 0 $).

juddlegum, to random
@juddlegum@journa.host avatar
  1. Trump will be arraigned on criminal charges at a federal courthouse in Miami today

The indictment is devastating and detailed

But all day you'll hear from pundits and politicians making outrageous claims on Trump's behalf

This thread is YOUR GUIDE TO ALL THE NONSENSE

🧵

Arpie4Math,

@juddlegum Link to a free copy of the unsealed indictment.

Public court documents are available with a PACER account for $0.10/page. The Free Law Project republishes these for free with a network donating PACER users.

https://storage.courtlistener.com/recap/gov.uscourts.flsd.648653/gov.uscourts.flsd.648653.3.0_7.pdf

notstavvers, to random

every single word in this is truly magical

Arpie4Math,

@cstross @notstavvers Some discussion in Germany of making the analogy more precise by codifying copyright infringement as "digital violence" (digitale Gewalt) so that presumably these five traits of pirates are treated commonly:

• murder
• robbery
• rape
• kidnapping
• copyright infringement

https://www.techdirt.com/2023/05/05/germany-wants-to-include-copyright-infringement-under-its-planned-digital-violence-law/

https://netzpolitik.org/2023/justizministerium-urheberrechtsverletzungen-sind-jetzt-digitale-gewalt/

oliphant, to random

Y'all, I am preparing to read a complete avalanche--nay, a collapsing star--of bullshit.

Arpie4Math,

@oliphant Wait! Are they saying that Elon rejecting all the pre-acquisition explainers on why good moderation is hard to do and why it is essential to Twitter was ignored because Elon was afraid of looking effeminate? Are they saying running a competent HR or Legal department is impossible for a man not in the grips of the "woke-mind-virus?"

Pwnallthethings, to random

Uuuuuuh say what now

Arpie4Math,

@Pwnallthethings

Paraphrasing Dr. Ian Malcolm from Jurassic Park: If there's one thing the history of his campaign and administration has taught us it's that Trump will not be contained. Trump breaks free, he crimes in new territories, he crashes through barriers painfully, maybe even dangerously.

DOJ: Are you implying that an inexperienced wealthy landlord and gameshow host, surrounded by government and personal lawyers, will abuse executive power?

Dr. Malcom: I'm simply saying that Trump finds a way.

GayOldTime, to random
@GayOldTime@masto.ai avatar

Salad, with a side order of gender issues
#vintageAd #sissy #salad

Arpie4Math,

@GayOldTime
The alternative to a "sissy-sweet" salad?

• grated American cheese
• chopped "stuffed" olives
• celery
• green bell pepper
• unsweetened whipped cream or whipped evaporated milk
• "Mild" vinegar
• Knox Gelatine
• Salt
• air bubbles

Served with "salad dressing" (Miracle Whip?) and presumably some sort of lettuce and tomato assembly.

https://brian.carnell.com/articles/2021/dont-feed-a-man-sissy-sweet-salad/

———
If you don't like that one, the next one replaces the veggies with pineapple.

ajsadauskas, (edited ) to tech
@ajsadauskas@aus.social avatar

The enforcement of copyright law is really simple.

If you were a kid who used Napster in the early 2000s to download the latest album by The Offspring or Destiny's Child, because you couldn't afford the CD, then you need to go to court! And potentially face criminal sanctions or punitive damages to the RIAA for each song you download, because you're an evil pirate! You wouldn't steal a car! Creators must be paid!

If you created educational videos on YouTube in the 2010s, and featured a video or audio clip, then even if it's fair use, and even if it's used to make a legitimate point, you're getting demonetised. That's assuming your videos don't disappear or get shadow banned or your account isn't shut entirely. Oh, and good luck finding your way through YouTube's convoluted DMCA process! All creators are equal in deserving pay, but some are more equal than others!

And if you're a corporation with a market capitalisation of US$1.5 trillion (Google/Alphabet) or US$2.3 billion (Microsoft), then you can freely use everyone's intellectual property to train your generative AI bots. Suddenly creators don't deserve to be paid a cent.

Apparently, an individual downloading a single file is like stealing a car. But a trillion-dollar corporation stealing every car is just good business.

@music @technology @music

Arpie4Math,

@ajsadauskas @technology @music @music

does not protect the concept and themes of artistic presentation. So training autocomplete tools like or generative art tools along the lines of on huge amounts of copyrighted material available on the web doesn't seem to trespass on the rights actually created by copyright law. That is, neither the trained model parameters nor the output qualifies as a infringing copy.

The fact that big corporations have heated the rhetoric with even small-scale copyright infringement being characterized as if it were an existential threat rather than free marketing perhaps misleads people to think copyright grants the owner total control of the future of their creations. But law is about statutes and precedents, not feelings, which is why big corporations aren't likely to train their models on billions of copyrighted works if there was a credible risk of paying statutory damages on a per-work basis.

If there is a moral right to the "something" that has been gifted to these models by their training, it has not been well described, let alone recognized in law as property of the creators. How is this "something" which an AI model steals supposed to be distinguished from the piecewise appreciation for the art as summed over all human viewers?

So perhaps the real problem is the moral outrage created by the corporations who for decades equate copyright infringement with being ambushed by a gang of seagoing rapists, kidnappers, killers, and robbers (pirates). Towards that end, Germany is discussing adding copyright infringement as a form of "digital violence" making the analogy more exact.

https://www.techdirt.com/2023/05/05/germany-wants-to-include-copyright-infringement-under-its-planned-digital-violence-law/

JenWojcik, to random

Ok apparently I need a new instance if .social is threatened to be defederated.

I haven't kept up with the hand wringing lately. Anyone care to give me the primer version?

Arpie4Math,

@JenWojcik

Having listed themselves as the default instance in the official app, they have something like 223k accounts, overwhelmed moderators, and consequently, they are targeted by crypto spammers who set up new accounts without any gating and then use those to flood accounts in every instance. (It's mostly #crypto spam.)

@mmasnick sort of predicted this in his essay: https://www.techdirt.com/2019/11/20/masnicks-impossibility-theorem-content-moderation-scale-is-impossible-to-do-well/

As a result, other instances are blocking #mastodonsocial to try and keep their moderation workload lower, and only the nice ones will ever check if they get this week's flood under control.

If you do want to relocate, it is recommended that you use a web app to manually export your contacts so that you do not need to rely on server-to-server communication to transmit them reliably.

samhainnight, to random
@samhainnight@mstdn.social avatar

I’m waiting for the lawsuit to make Trump pay the 5 million in damages he now owes E. Jean Carrol because he never pays his bills.

Arpie4Math,

@samhainnight

As I understand it (#IANAL):

DJT has vowed to appeal. To do so he must post a bond for at least the $5 million plus interest. If he loses the appeal, that bond gets paid to EJC.

If he does not appeal, EJC has to chase him until he pays up.

But first, we need the judge to go through the post-trial motions (request for a new trial, request to reduce damages, etc) and issue a judgment. Then there are typically 30 days before that judgment is in force (a window to appeal and get the judgment stayed until the appeal is finished.)

JamesGleick, to random
@JamesGleick@zirk.us avatar

Shorter Judge Kaplan: “I hear your bullshit and I’m not buying.”

https://storage.courtlistener.com/recap/gov.uscourts.nysd.590045/gov.uscourts.nysd.590045.125.0_1.pdf

Arpie4Math,

@JamesGleick Posturing like your personal druthers are somehow doing the court a favor is a choice. A voice to burn your credibility with the court.

johncarlosbaez, to random
@johncarlosbaez@mathstodon.xyz avatar

I'm fascinated by the Inuit-Yupik-Unangan languages in Alaska, Canada and Greenland. There are many of these languages: they ring much of the Arctic Ocean. I just learned that they use a base 20 system for numbers, with a 'sub-base' of 5. That is, quantities are counted in scores (twenties) with intermediate numerals for 5, 10, and 15. This makes a lot of sense if you look at your fingers and toes.

But the Inuit didn't have a written form of their number system - until the early 1990s, when high school students in the town of Kaktovik, Alaska invented one! There were just 9 students at this small school, and they all joined in.

They used 5 principles:

• Visual simplicity: The symbols should be easy to remember.

• Iconicity: There should be a clear relationship between the symbols and their meanings.

• Efficiency: It should be easy to write the symbols without lifting the pencil from the paper.

• Distinctiveness: There should be no confusion between this system and Arabic numerals.

• Aesthetics: They should be pleasing to look at.

They decided that the symbol for zero should look like crossed arms, meaning that nothing was being counted.

This was the start of quite a tale!

(1/n)

Arpie4Math,

@johncarlosbaez

#Metamath's compressed proof format uses a mixed radix system with base-20 for the least significant digit and base 5 for any other digit allowing a sequence of counting numbers to be represented with a sequence of the letters A through Y, with Z reserved for use as a marker value.

The sequence of numbers can then be processed as instructions to manipulate the proof stack, generating each step of the proof from external theorems and axioms, with explicit variable substitutions.

https://us.metamath.org/downloads/metamath.pdf (page 187)

futurebird, to random
@futurebird@sauropods.win avatar

This is the ideal watch. One hand. 24 hours. 360 degrees.

The colorful blobs are appointments pulled from the calendar. The gradient on the face adjusts with the seasons and sunrise/sunset.

Tap on a color and it shows you text about the appointment, tap and hold and open the calendar.

The end. #design #ideas #time

Arpie4Math,

@futurebird This person has only 0-1 meetings scheduled for any given moment. Not a realistic demo. :)

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