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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
I don't do that well when the Jeopardy category is Math
Bill and Darling are watching Jeopardy.DARLING: Bill, one of the categories is MATH TALK. You will kick butt!BILL: Not clear. I doubt they will have the least number...
From Computational Complexity
What is Closed Form? The Horse Numbers are an illustration
In the book Those Fascinating Numbers by Jean-Marie De Konick they find interesting (or `interesting') things to say about many numbers. I reviewed the book inhere...
From Computational Complexity
May the fourth be with you. To many -days?
(This post was inspired by Rachel F, a prior REU-CAAR student, emailing me wishing me a happy Star Wars Day.) I am writing this on May 4 which is Star Wars day...
From Computational Complexity
Math Thoughts Inspired by the TV show Succession
I watched Succession one-episode-a-day on treadmill for 39 days. I'm glad I did this in 2023 since Season 2 aired its last show on Oct 19, 2019, and Season 3 had...
From Computational Complexity
Intelligent Comments on Bill's G.H. Hardy/Avi W post that we did not post.
I posted (see here) about Avi Wigderson being a counterexample to two of G.H. Hardy's opinions:1) Hardy thought Math was a young man's game. I got some good comments...
From Computational Complexity
Avi Wigderson is a counterexample to TWO stupid thoughts of G.H. Hardy
Recently1) Avi Wigderson won the Turing Award (See blog posts by Fortnow-here, Scott-here, Lipton-Regan here, and the ACM announcement here). The last time Ihere...
From Computational Complexity
Rance Cleaveland passed away on March 27, 2024. He will be missed
My friend and colleague Rance Cleaveland passed away on March 27, 2024 at the age of 62. He was a professor at The University of Maryland at College Park in the...
From Computational Complexity
Answer to Question. MetaQuestion remains unsolved
In a prior post I asked the following question:find x,y,z positive natural numbers such that the following is true:$$ \frac{x}{y+z} + \frac{y}{x+z} + \frac{z}{x...
From Computational Complexity
A Math Question and a Meta Question
1) Question: find x,y,z natural numbers such that the following is true:$$ \frac{x}{y+z} + \frac{y}{x+z} + \frac{z}{x+y} = 4. $$I was first presented the problem...
From Computational Complexity
I know what A-B-C-D-F mean but what about V? X? HP?
I am looking at LOTS of transcript of students who applied for my program REU-CAAR so I sometimes come across grades that I don't understand. The transcript does...
From Computational Complexity
Grad Student Visit Day: That was then, this is now.
(Harry Lewis helped me with this post.) March 15 was UMCP Computer Science Grad Student Visit Day. I suspect many of my readers are at schools that had their Grad...
From Computational Complexity
The Thrill of Seeing Your Name in Print is Gone
In the 1980's and 1990's when I got a paper accepted to a journal or conference it seemed important to see it in print. Having a paper accepted was nice, butthis...
From Computational Complexity
The letter to recommend John Nash was ``The Best Recomendation Letter Ever''- I do not think so.
There is an article about the letter Richard Duffin wrote for John Nash that helped John Nash get into Princeton: here. The title of the article is The Best Recommendation...
From Computational Complexity
When is it worth the time and effort to verify a proof FORMALLY?
(This post was inspired by Lance's tweet and later post on part of IP=PSPACE being formally verified.) We now have the means to verify that a proof (prob just some...
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