shirt idea
"LaTeX by day, latex by night"
h

Kiana Khansmith
$LAYYYTER

roma★
NASA
wallacepolsom
styofa doing anything
almost home
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cherry valley forever

Janaina Medeiros
Peter Solarz

❣ Chile in a Photography ❣
Today's Document
YOU ARE THE REASON

Product Placement
Cosimo Galluzzi

★

No title available
One Nice Bug Per Day

seen from United States
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seen from Iraq

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seen from Yemen

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@confusedcanaries
shirt idea
"LaTeX by day, latex by night"
grid.iamkate.com
This is one of the best websites ever. It shows the energy that goes into the national grid (uk sources, it counts interconnectors seperately) and tracks it over time. Genuinely looking at the data over all time is so hope inspiring. It used to be all coal. Coal is gone now. When I found the website in 2021, fossil fuels were almost always the biggest contributor, now renewables routinely outperform them. Energy production is not perfect but it’s getting so much better!
Genuinely this website occasionally makes me emotional just from looking at the beautifully presented data. It’s so good!
Her speech physically dropped me to my knees.
pick whatever option the person you're following who reblogged this post didn't pick. if they didn't say in the tags what they picked or if you're seeing the original post and not a reblog, pick at random instead.
first option
second option
So, the ontological argument, roughly: “god is perfect, perfect things exists, therefore god exists”
On first glance this seems yuckily circular, however, Kurt Gödel, mathematical logic extraordinaire, converted it into a rigorous argument in 2nd order modal logic. Here’s a link to the Wikipedia page, check it out!
The axioms used do kinda lead to the logical system falling apart is the thing. So probably not the greatest argument, but fun that it’s rigorous!
it’s just one of those croissant days
we love a recovery
Today's number is Apéry's constant
Most famous constants announce themselves immediately. For example, π appears wherever circles show up, e emerges from growth and calculus, and so on. But there's a stranger hiding deep within this infinite series:
ζ(3) = 1 + 1 / 2^3 + 1 / 3^3 + 1 / 4^3 + . . .
The number this sum converges to is called Apéry's constant, and despite looking innocent, it resisted proof for centuries. Mathematicians strongly suspected that it was irrational but nobody could prove it until 1978.
The Zeta Function Apéry's constant comes from one of the most important objects in mathematics: the Riemann zeta function.
For real numbers s > 1,
ζ(s) = ∑_{n=1}^∞ 1 / n^s
(the infinite series of 1 / 1 ^ s + 1 / 2 ^ s + 1 / 3 ^ s + . . . )
At first glance, this is just an infinite sum. But the zeta function secretly connects prime numbers, complex analysis, quantum physics, probability, cryptography, and the distribution of the primes themselves.
Some values are beautifully understood. For example,
ζ(2) = π^2 / 6
ζ(4) = π^4 / 90
In fact, every even positive integer produces a formula involving powers of π. But the odd inputs are another story.
Nobody knows a comparably elegant formula for
ζ(3), ζ(5), ζ(7), . . .
These numbers are mysterious, and ζ(3) became the first "battleground".
Roger Apéry's Bombshell
Numerically, Apéry's constant equals approximately
1.202056903159694...
The question sounds deceptively simple: Is this number rational? For over 200 years, nobody knew. That's remarkable because Euler had solved the analogous problem for ζ(2) in the 1700s.
In 1978, French Mathematician Roger Apéry announced that ζ(3) was irrational in a lecture. The announcement was met with criticism in part because Apéry was relatively unknown at the time. He also gave the lecture in French, made jokes throughout, and omitted several key explanations needed to follow the proof..
For example, there was an equation at the beginning of his lecture that no one knew but formed the core of his proof. When asked where this equation came from, Apéry is said to have answered "They grow in my garden," which was said to have caused many in the audience to stand up and leave the room.
However, someone in attendance had an electronic calculator (uncommon at the time) and with a short program, checked Apéry's equation and found it correct.
The equation in question is below, which was an unknown series representation of ζ(3) at the time:
With this expression, he was able to use a condition for irrationality that German mathematician Gustav Lejeune Dirichlet had derived in the 19th century. It states that a number χ is irrational if there are an infinite number of integers p and q, so that the following inequality is satisfied:
Here, c and δ denote constant values. Although the formula looks complicated, it basically means that χ can be approximated by fractions, but there is no fractional number that corresponds to χ exactly. Apéry succeeded in deriving this inequality for ζ(3), and thus the number is irrational.
In simpler terms, Apéry's proof constructed two sequences of integers:
a_n and b_n
such that
a_n / b_n
approximate ζ(3) far too well for a rational number.
This is the key philosophical idea. If a number is rational, there are limits to how accurately fractions can approximate it without eventually becoming exact. Apéry built approximations that violated those limits.
The machinery involved strange recursive sequences and combinatorial identities that seemed to come out of nowhere.
Even now, many mathematicians describe the proof as "magical".
To honor his work, the value of ζ(3) now bears his name and is known as Apéry's constant. This doesn't answer all of the questions associated with the number, however. We are still looking for a clear numerical value for ζ(3) that can be expressed with known constants, much in the same way ζ(2) is.
But regardless, Apéry's constant feels like an accident. It emerges from a simple series, has no known simple closed form, and required centuries to understand even partially. And yet it keeps appearing across math and physics like a recurring character in a story nobody fully understands.
Not every important mathematical object arrives polished and symmetrical. But that's part of what makes ζ(3) beautiful.
here, i've annotated a helpful diagram for you
holy shit
omg
it’s back
wat
I have yet to witness something as fucked up as this
WHAT THE FUCK DID I JUST READ
Holy shit
This is an ace attorney trial
“Now comes the exquisite twist”
Here’s a transcription, as the text in the image is way too small:
Murder or Suicide?
At the 1994 annual awards dinner given for Forensic Science, AAFS President Dr Don Harper Mills astounded his audience with the legal complications of a bizarre death. Here is the story.
On March 23, 1993 the medical examiner viewed the body of Ronald Opus and concluded that he died from a shotgun wound to the head. Mr. Opus had jumped from the top of a ten-story building intending to commit suicide.
He left a note to the effect indicating his despondency.
As he fell past the ninth floor his life was interrupted by a shotgun blast passing through a window, which killed him instantly. Neither the shooter nor the deceased was aware that a safety net had been installed just below the eighth floor level to protect some building workers and that Ronald Opus would not have been able to complete his suicide the way he had planned.
“Ordinarily,” Dr Mills continued, “A person who sets out to commit suicide and ultimately succeeds, even though the mechanism might not be what he intended, is still defined as committing suicide.” That Mr. Opus was shot on the way to certain death, but probably would not have been successful because of the safety net, caused the medical examiner to feel that he had a homicide on his hands.
In the room on the ninth floor, where the shotgun blast emanated, was occupied by an elderly man and his wife. They were arguing vigorously and he was threatening her with a shotgun. The man was so upset that when he pulled the trigger he completely missed his wife and the pellets went through the window striking Mr. Opus. When one intends to kill subject “A: but kills subject “B” in the attempt, one is guilty of the murder of subject “B.”
When confronted with the murder charge the old man and his wife were both adamant and both said that they thought the shotgun was unloaded. The old man said it was a long-standing habit to threaten his wife with the unloaded shotgun. He had no intention to murder her. Therefore the killing of Mr. Opus appeared to be an accident; that is, if the gun had been accidentally loaded.
The continuing investigation turned up a witness who saw the old couple’s son loading the shotgun about six weeks prior to the fatal accident. It transpired that the old lady had cut off her son’s financial support and the son, knowing the propensity of his father to use the shotgun threateningly, loaded the gun with the expectation that his father would shoot his mother.
Since the loader of the gun was aware of this, he was guilty of the murder even though he didn’t actually pull the trigger. The case now becomes one of murder on the part of the son for the death of Ronald Opus.
Now comes the exquisite twist.
Further investigation revealed that the son was, in fact, Ronald Opus. He had become increasingly despondent over the failure of his attempt to engineer his mother’s murder. This led him to jump off the ten story building on March 23rd, only to be killed by a shotgun blast passing through the ninth story window. The son had actually murdered himself so the medical examiner closed the case as suicide.
A true story from Associated Press, Reported by Kurt Westervelt.
Bizarre or what?
Dude holy HECK
I mean, talk about karma…
Id seen this before but i couldn’t read the picture so thank you for the transcript but also THE FUCK??
That is one hell of a convoluted way to die
So if he had lived… would he be convicted for attempted murder?
World Heritage Post
@iloveleeks2
The full saga of Margie and the Nuns (so far). Realised I never compiled these in one place.! Also, bonus Margies!
the crazy thing about doctor who is that it really is the best show ever for 30 seconds at a time. you never know when those 30 seconds will be. sometimes they happen multiple times in a single episode and sometimes you wait years and years and years. and the best part is those 30 seconds are surrounded by the worst show ever, which is also doctor who
What were early 2000's webcomics like?
It was the best of times, it was the blurst of times. Kids who grew up in the 90s manga boom weren’t old enough to get scanners and the like, so the first webcomics were Newspaper comics based on nerdy things.
Like General Protection Fault, which was an even nerdier version of Dilbert.
And, of course, 1999′s Penny Arcade. Penny Arcade’s success would inspire a million “two dudes on a couch playing video games” clones.
A dude saw Penny Arcade and convinced his artist friend to make a comic with him. He wanted a standard 4-panel comic just like in the newspaper. But his friend was a huge weeb, and wanted to have four vertical panels like in Japanese 4koma comics. So they found a compromise format and started a comic in 2000.
Megatokyo had a lot of video game jokes early on, but quickly morphed into being about anime stuff, which happened to be pretty popular. In lieu of video game jokes, it introduced some light sex humor, a woman with huge boobs who wanted to fuck the gamer dude, and a sentient android that everyone accepted as normal because it was a silly comic and a lot of early-2000s internet humor tended towards randomness.
So you had these two really popular webcomics with elements that had obvious appeal: Dudes on a couch playing video games, sexy chicks with huge boobs who wanted to bang the MC, robots, and a weird square format that happened to be easier to read at lower resolutions. But could these elements be combined? One man dared to dream they could. And in 2002 he made his dream a reality
Given what a joke it’s rightfully since become, I feel the need to emphasize that CAD was one of the big early webcomics, and helped inspire it’s own share of imitators. It’s probably fair to say that it was more influential than even Penny Arcade, in that it had more elements that could be slavishly copied and passed around.
(If you ever wondered why it took so long for anyone in Questionable Content to acknowledge the weirdness of all the robots, it’s because random unexplained robots were really popular in webcomics in the early 2000s)
Meanwhile, it its own little isolated corner of the internet, Bob and George was popularizing “sprite comics”, a genre that consisted of itself,8-Bit Theater the next year, and a trillion shitty comics not worth mentioning. These were less influential than the Penny Arcade ==> Megatokyo ==> CAD ==> Questionable Content progression, but even this early the tiny webcomic scene was start to grow and split. Questionable Content was much more grounded than other webcomics at the time, and it’s rom-com plot was a big step away from the gag-a-day strips, but its influence was dulled because a bunch of other comics were starting to spring up. In the early 2000s, everyone was reading the same things because there were so few comics worth your time, but by the mid-2000s you were starting to see some quality.
You were also starting to see people getting serious about monetization. Scott McCloud’s dream of selling your comics for ten cents a pop and making bank in volume had crashed into the twin peaks of “most comics are also good and they’re free” and “credit cards charge fees, idiot”. Some of the better, more respected comics started joining together into one site with all of them that you needed to pay to access, kind of like how Slipshine works now except without the porn.
This didn’t work out financially, and it also meant that the best webcomics of the mid-2000s like Digger and Narbonic had really small audiences because you couldn’t read them without paying a fee first. Advertising was less useless then than it is now, but times were tough for the webcomics business in the pre-Patreon days. But some webcomics realized that they could find a profitable niche by appealing to new audiences. Instead of the straight white boys who made up the general webcomics audience, they’d reach out to a new demographic:
Perverts!
And, more specifically,
Furries!
Because furries really wanted furry content, and they were willing to pay for it. Pay a lot for it. Furry cheesecake comics prospered, and even though they didn’t have mainstream success, they were pulling it the big bucks compared to your average video game comic. People were starting to realize that 1000 hardcore fans was better than 100,000 casual fans, and a lot of comics started searching for a niche. (This is kind of related to webcomics becoming more progressive/inclusive a bit later, but that’s a whole ‘nother essay that I’m not the one to write)
These webcomics were pretty tame PG-13 stuff like you’d see in the shounen manga its creators were fans of, with nary a nipple to be seen, and a lot of them would die out in favor of straight-up porn.
In the late 2000s, art students realized that making a webcomic was a great way to build a portfolio, and we were hit with the Great Boom Of Webcomics By People Who Can Actually Draw. In 2003, that TwoKinds art was not only acceptable, it was top-tier for a free comic
By 2006 it was not the top tier
By 2008 it was no longer acceptable.
The world of webcomics became flooded with high-quality work by actual artists who’d gone to school and everything. The first generation of webcomics creators no longer ruled as the comics everyone read. Doctor Fun, the first-ever webcomic, ended in 2006. So did Narbonic and Mac Hall. Applegeeks, one of the most successful PA clones, ended in 2010 alongside 8-Bit Theater. Ctrl+Alt+Delete ended and rebooted to the interest of no one.
While in 2001, a bad artist could build a following just by updating regularly and slowly improving, that became a lot harder to do as the Bush Administration ended. There were too many brilliant artists making great content for someone to break onto the scene with simple art or sprites. And one day a lot of people gave up on ever being able to make a successful webcomic if their panels didn’t look like a magic the gathering card.
And it just so happened that that day, the 13th of April 2009, was a young man’s birthday…
What a blast from the past!
History….. and some of these comics are still around.
@earsandtailsarefeet — a fun little retrospective with some claims that I don’t 100% feel confident on, (re: the first webcomic) but generally a cool breakdown of a period of history dear to the both of us.
😄
If you are ever learning anything model theory related, you have to check out “Model Theory: An Introduction” by David Marker. Just the most excellent model theory book
This is an anti-despair checkpoint! You must share something you're looking forward to before scrolling on.
and then they proceeded to be the worst at their jobs for the next 20 years
No no, you don’t get it. Jesse and James are the absolute best there is at their jobs, but they have no idea what their jobs are.
They think that they’re thieves, agents of an elite criminal group led by Giovanni, stealing rare pokemon and advanced technology and such. And there might have been a time this actually was their jobs. In the first season or two, they frequently get angry phone calls about how they’ve fucked everything up, or get their expense account cut off because they have literally never turned a profit on their criminal enterprises and constantly procure and then lose/destroy expensive and elaborate devices.
But then the world came within a hair’s breadth of being destroyed, several times, and Jesse, James, and their weird cat rescued everybody. As terrible as they’ve always been at criminal endeavors of any kind, when the apocalypse approaches and they’re forced to step up, they’re really fucking good at saving the day.
And Giovanni is over here like… if the planet is destroyed, or time/space becomes unrecognizable, or civilization collapses, there’s no way for me to run a profitable criminal enterprise anymore. I need this planet, because it’s where I keep all my stuff. And I don’t pretend to understand the why of it, but these couple of bumbling nutcases that I should have fired years ago seem to be an important component of that? Somehow? So you gotta stop thinking about them in terms of acquisitions and start considering them… loss prevention. As in, even if you waste a million dollars a month on giant cat-faced robots and a vast array of fancy ball gowns and they never turn a profit, they are preventing all of your assets from going away at the same time because of something you can’t do anything about.
And that’s the great secret behind Team Rocket. These guys aren’t thieves, they’re professional superheroes (sponsored by organized crime). Of course, nobody ever bothered to tell them that.
“To protect the world from devastation…”
Plus, as is frequently pointed out: Jesse and James are good at every other job EXCEPT Team Rocket. They’re actually smart businesspeople and run successful food and merchandise stands and are great salespeople. Hell, even in Team Rocket situations where they’re not chasing after Pikachu they’ve done better. It’s just their Achilles Heel is one damn OP rodent.
Pikachu Proximity Intelligence Chart
[ID. a text conversation with images added to make it look like the conversation is happening between stratt and grace from project hail mary, in which they say:
stratt: we're short staffed for tonight
grace: damn that's crazy grace: good luck tho
stratt: we could use some extra help
grace: yeah i bet grace: goodluck an
stratt: *is typing*
end ID.]