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How the “Frontier” Became the Slogan of Uncontrolled AI
Artificial intelligence (AI) has been billed as the next frontier of humanity: the newly available expanse whose exploration …
From Computational Complexity
ChatGPT thinks Graph Isomorphism has real applications. Is it right?
Lance did a post on Babai's result on Graph Isomorphism (see here). I then did a post asking if Graph Isomorphism has real applications (see here). Lance proofread...
From Computational Complexity
Are there any REAL applications of Graph Isomorphism?
Lance's post on Babai's result on Graph Isomorphism (henceforth GI) inspired some random thoughts on GI. (Lance's post is here.) 1) Here is a conversation withOrganic...
From Computational Complexity
The advantage of working on obscure things
I got an email from an organization that wants to publicize one of my papers. Which paper did they want to publicize? 1) If the organization was Quanta, they...
From Computational Complexity
Certifying a Number is in a set A using Polynomials
(This post was done with the help of Max Burkes and Larry Washington.)During this post \(N= \{0,1,2,\ldots \}\) and \(N^+=\{1,2,3,\ldots \}\).Recall: Hilbert's...
From Computational Complexity
A paper that every Undergraduate should read
The paper As we may thinkbyVannevar Bush appeared in The Atlantic Monthly, in July 1945. I first read it since it was one of the papers in Ideas that Created the...
From Computational Complexity
A nice dice problem-Part 2
In my last post (see here) I posed a dice problem, promising to give the answer in the next blog which is this blog. Here is the problem from my last blog:-----...
From Computational Complexity
Guest Post by Mohammad Hajiaghayi on SODA Business Meeting 2024
This is a guest post Mohammad Hajiaghayi on the SODA business Meeting from 2024. The meeting was held in Alexandria Virginia, Jan 7-10, 2024. The following meetings...
From Computational Complexity
A nice dice problem- Part I
In this blog I pose a dice problem. The problem is NOT mine and the answer is KNOWN. However, I DO NOT think its well known, and I DO think it's interesting. My...
From Computational Complexity
The Betty White Award for 2023: Tommy Smothers
Betty White died on December 31, 2021. When I mention that, even now, some people are surprised that they didn't hear about it. Why? Because she died AFTER allarticles...
From Computational Complexity
Archimedes, Pi, and Pickelball
I typed 3,1,4,1,5,9 into OEIS and, as expected, I found that these are the first few digits of \(\pi\). See here.I then read on the page:\(\pi\) is sometimes refereed...
From Computational Complexity
Where do Journals go to Die?
In 2011 I had a post, here, about a real journal called The Antarctica Journal of Mathematics. Note that I put in the link in the last sentence; however, if you...
From Computational Complexity
Where do Non-Primitive Recursive Functions come up NATURALLY?
The following is a conversation between Clyde Kruskal and Bill Gasarch.CLYDE: Bill, a student, Ian Roberts, asked me if there are any non-primitive recursivehere...
From Computational Complexity