EL5 why this is significant, please.

( Not trying to be any which way.)

Submitted 1 week ago by fossilesque@mander.xyz to science@mander.xyz

## Tok0@sh.itjust.works 1 week ago

EL5 why this is significant, please.

( Not trying to be any which way.)

## chunkystyles@sopuli.xyz 1 week 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 1 week ago

Ah, yes, those things, of course.

## Snowcano@startrek.website 1 week ago

Ah, yes. I know

~~some~~**none**of these words.## PowerGloveSoBad@lemmy.world 1 week 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 1 week ago

rapidly growing 1 found in 32 years

## fossilesque@mander.xyz 1 week 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 1 week ago

I still don’t understand it, but good job math wizards!

## pinkdrunkenelephants@lemmy.cafe 1 week 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 1 week ago

Obligatory “it was down the back of the couch cushions”.

## satanmat@lemmy.world 1 week 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 1 week 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 1 week 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 1 week ago

Gotta love anti-intellectualism

## thesmokingman@programming.dev 1 week ago

Math nerds don’t need to justify their college debt to themselves. The math alone was enough.

## pinkdrunkenelephants@lemmy.cafe 1 week 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 1 week ago

Everyone downvotes you, but you asked a valid question…

## KISSmyOS@lemmy.world 3 days ago

The second part of the question is why they’re being downvoted.

## IHeartBadCode@kbin.social 1 week 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 1 week ago

So your end egg count after a run of Eggs, Inc. Got it.