×
Well done. You've clicked the tower. This would actually achieve something if you had logged in first. Use the key for that. The name takes you home. This is where all the applicables sit. And you can't apply any changes to my site unless you are logged in.

Our policy is best summarized as "we don't care about _you_, we care about _them_", no emails, so no forgetting your password. You have no rights. It's like you don't even exist. If you publish material, I reserve the right to remove it, or use it myself.

Don't impersonate. Don't name someone involuntarily. You can lose everything if you cross the line, and no, I won't cancel your automatic payments first, so you'll have to do it the hard way. See how serious this sounds? That's how serious you're meant to take these.

×
Register


Required. 150 characters or fewer. Letters, digits and @/./+/-/_ only.
  • Your password can’t be too similar to your other personal information.
  • Your password must contain at least 8 characters.
  • Your password can’t be a commonly used password.
  • Your password can’t be entirely numeric.

Enter the same password as before, for verification.
Login

Grow A Dic
Define A Word
Make Space
Set Task
Mark Post
Apply Votestyle
Create Votes
(From: saved spaces)
Exclude Votes
Apply Dic
Exclude Dic

Click here to flash read.

Let $D_n$ denote the set of monotone Boolean functions with $n$ variables.
Elements of $D_n$ can be represented as strings of bits of length $2^n$. Two
elements of $D_0$ are represented as 0 and 1 and any element $g\in D_n$, with
$n>0$, is represented as a concatenation $g_0\cdot g_1$, where $g_0, g_1\in
D_{n-1}$ and $g_0\le g_1$. For each $x\in D_n$, we have dual $x^*\in D_n $
which is obtained by reversing and negating all bits. An element $x\in D_n$ is
self-dual if $x=x^*$. Let $\lambda_n$ denote the cardinality of the set of all
self-dual monotone Boolean functions of $n$ variables. The value $\lambda_n$ is
also known as the $n$-th Hosten-Morris number. In this paper, we derive several
algorithms for counting self-dual monotone Boolean functions and confirm the
known result that $\lambda_9$ equals 423,295,099,074,735,261,880.

Click here to read this post out
ID: 485895; Unique Viewers: 0
Unique Voters: 0
Total Votes: 0
Votes:
Latest Change: Oct. 20, 2023, 7:32 a.m. Changes:
Dictionaries:
Words:
Spaces:
Views: 13
CC:
No creative common's license
Comments: