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Mathematicians Have Found The Ninth Dedekind Number, After 32 Years of Searching (www.sciencealert.com)

submitted 1 year ago by fossilesque@mander.xyz to c/science@mander.xyz

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[-] chunkystyles@sopuli.xyz 83 points 1 year 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 30 points 1 year ago

Ah, yes, those things, of course.

[-] Diplomjodler@feddit.de 21 points 1 year ago

Glad we cleared that up. In hindsight, it was pretty obvious from the start.

[-] Snowcano@startrek.website 21 points 1 year ago

Ah, yes. I know ~~some~~ none of these words.

[-] SturgiesYrFase@lemmy.ml 19 points 1 year ago

I understood most of the words, just the ones that I didn't made the rest incomprehensible garbledygoop

[-] PowerGloveSoBad@lemmy.world 9 points 1 year ago* (last edited 1 year 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 really did something here