EL5 why this is significant, please.
( Not trying to be any which way.)
Mathematicians Have Found The Ninth Dedekind Number, After 32 Years of Searching
Submitted 11 months ago by fossilesque@mander.xyz to science@mander.xyz
Comments
Tok0@sh.itjust.works 11 months ago
chunkystyles@sopuli.xyz 11 months ago
I looked it up on Wikipedia.
In mathematics, the Dedekind numbers are a rapidly growing sequence of integers named after Richard Dedekind, who defined them in 1897. The Dedekind number M(n) is the number of monotone boolean functions of n variables. Equivalently, it is the number of antichains of subsets of an n-element set, the number of elements in a free distributive lattice with n generators, and one more than the number of abstract simplicial complexes on a set with n elements.
Pretty simple to understand. I mean, I understand it, for sure. Totally.
Scrof@sopuli.xyz 11 months ago
Ah, yes, those things, of course.
Snowcano@startrek.website 11 months ago
Ah, yes. I know
somenone of these words.PowerGloveSoBad@lemmy.world 11 months ago
Good work everyone. I stay more with the stereo boolean variables, but the news about those lattices being free now is really great stuff. We did it
Jackcooper@lemmy.world 11 months ago
rapidly growing 1 found in 32 years
fossilesque@mander.xyz 11 months ago
Complements of GPT:
Imagine you have a puzzle with a set of rules about how you can put the pieces together. This puzzle isn’t made of typical jigsaw pieces, but instead uses ideas from math to decide how they fit. A Dedekind number is like counting how many different ways you can complete this puzzle.
In simple terms, a Dedekind number is connected to a concept in mathematics called a “Boolean function.” This is a type of math problem where you only use two things: yes or no, true or false, or in math language, 0 or 1. A “monotone Boolean function” is a special kind of this problem where changing a 0 to a 1 in your problem can only change the answer from 0 to 1, not the other way around.
The big news is that mathematicians and computer scientists just found a new, very large Dedekind number, called D(9). It took them 32 years since the last one was found! To find it, they used a supercomputer that can do lots of calculations at the same time. This was a big deal because Dedekind numbers are really hard to calculate. The numbers involved are so huge that it wasn’t even sure if we could find D(9).
You can think of finding a Dedekind number like playing a game with a cube where you color the corners either red or white, but you can’t put a white corner above a red one. The goal of the game is to count all the different ways you can do this coloring. For small cubes, it’s easy, but as the cube gets bigger (like going from D(8) to D(9)), it becomes super hard.
So, discovering D(9) is a big achievement in mathematics. It’s like solving a super complex puzzle that very few people can understand, let alone solve. It’s significant because it pushes the boundaries of what we know in math and shows how powerful computers can help us solve really tough problems.
swab148@startrek.website 11 months ago
I still don’t understand it, but good job math wizards!
pinkdrunkenelephants@lemmy.cafe 11 months ago
🤔 That could matter a lot for chip designers. They’d need to know the ways in which a Boolean function could do such a thing since you use Boolean math to design the chips, and need to understand the math to design the chips in certain ways depending on your needs.
Salvo@aussie.zone 11 months ago
Obligatory “it was down the back of the couch cushions”.
satanmat@lemmy.world 11 months ago
Locked in the bottom of a disused filing cabinet, in and lavatory behind a locked door with a sign that said beware of jaguars
Etterra@lemmy.world 11 months ago
Is there a purpose to this, or is it just a bunch of math nerds justifying their college debts to themselves?
Aurenkin@sh.itjust.works 11 months ago
Like those physicists back in the day just playing around with useless toys messing with meaningless stuff like electricity and shit.
scarilog@lemmy.world 11 months ago
Gotta love anti-intellectualism
thesmokingman@programming.dev 11 months ago
Math nerds don’t need to justify their college debt to themselves. The math alone was enough.
pinkdrunkenelephants@lemmy.cafe 11 months ago
The purpose is to live a life doing what they love and getting paid oodles for it knowing jealous whiners like you are wasting their existences flipping burgers and getting emotionally abused by Karens.
Unless you thought your shitty McDonald’s manager job had any real purpose.
WindowsEnjoyer@sh.itjust.works 11 months ago
Everyone downvotes you, but you asked a valid question…
KISSmyOS@lemmy.world 11 months ago
The second part of the question is why they’re being downvoted.
IHeartBadCode@kbin.social 11 months ago
For those wondering the others are:
And our new one M(9) = 286386577668298411128469151667598498812366
That is two hundred eighty-six duodecillion, three hundred eighty-six undecillion, five hundred seventy-seven decillion, six hundred sixty-eight nonillion, two hundred ninety-eight octillion, four hundred eleven septillion, one hundred twenty-eight sextillion, four hundred sixty-nine (noice) quintillion, one hundred fifty-one quadrillion, six hundred sixty-seven trillion, five hundred ninety-eight billion, four hundred ninety-eight million, eight hundred twelve thousand, three hundred sixty-six.
pinkdrunkenelephants@lemmy.cafe 11 months ago
So your end egg count after a run of Eggs, Inc. Got it.