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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
For what d is the following true: For all 2-colorings of \(R^d\) has a mono unit square (Answering(?) the Question)
In my last post (see here) I invited you to work on the following question:Find a \(d\) such that--There is a 2-coloring of \(R^d\) with no mono unit square.--For...
From Computational Complexity
For what d is the following true: for all 2-colorings of \(R^d\) there is a mono unit square (Asking the Question)
In this post I give a question for you to think about. My next post will have the answer and the proof. 1) The following are known and I have a set of slides about...
From Computational Complexity
A new Mersenne Prime Has Been Found. When will we find the next one?
(Lance posted on the search for Mersenne primes in 2006 after a new one was discovered. I will comment on his post later.) A Mersenne Prime is a prime of thehere...
From Computational Complexity
Random Thoughts on the Election
Here are my random thoughts on the election:1) Here is a list of things I DONT care about a) Candidates Gender or Race. The people who say its about time we had...
From Computational Complexity
Contrast an Episode of Columbo with the recent Nobel Prizes
I quote Lance's blog post (here) about Computing and the Nobelsa) On Wednesday October 9th half of the Chemistry Nobel was awarded to computer scientists Demis...
From Computational Complexity
A Trip Down Memory Lane: Desc comp, Constant Round Sorting, Division Breakthrough, Derandomization.
I came across (by accident) the link to all of the BEATCS complexity columns from 1987 to the 2016. See HERE. (If you know a link to a more recent webpage then...
From Computational Complexity
Emil Post Anticipated (more than anticipated) Godel and Turing
(Thanks to James De Santis for pointing the article that inspired this post on Post. The article is pointed to in this post.) What is Emil Post known for? I know...
From Computational Complexity
Progress on R(5). Will there be more?
(I had a post a while back requesting people to submit open problems in Luca Trevisan's honor with deadline Oct 1. I am extending that to Oct 14, but that is a...
From Computational Complexity
I thought I knew what pizza was...
On Page 75 of The Existential Theory of the Reals as a Complexity Class: A Compendiumby Marcus Schaefer, Jean Cardinal, Tillmann Mitzow(see here for the paper)...
From Computational Complexity
How will chatGPT affect Homework?
LANCE: I gave my final exam for my ugrad theory course (regular, Context Free, P, NP, Decidable, Undecidable) to the new ChatGPT o1 that claims to reason aboutdo...
From Computational Complexity
Very few problems are in NP intersect coNP but not known to be in P. What to make of that?
Someone once told me: I was not surprised when Linear Programming was in P since it was already in \( NP \cap coNP \), and problems in that intersection tend...
From Computational Complexity
Six degrees of separation has been proven. Really?
There is a paper (see here for an article about the paper, the link to the paper itself is later) that claims to PROVE that, on average, the distance (for someMy...
From Computational Complexity
Whats worse for a company: being hacked or having technical difficulties? I would have thought being hacked but...
At the Trump-Musk interview:1) There were technical difficulties which caused it to start late and have some other problems.2) Musk and (I think) Trump claimedhere...
From Computational Complexity
Request open problems in honor of Luca Trevisan
Request for Open Problems In Memory of Luca TrevisanLuca Trevisan passed away on June 19, 2024 at the age of 52, of cancer.I am putting together an open problems...
From Computational Complexity
The combinatorics of Game Shows
(Inspired by Pat Sajak stepping down from Wheel of Fortune)How many different game show are there? Many. How many could there be?1) Based on Knowledge or something...
From Computational Complexity
Determing which math problems are hard is a hard problem
I was wondering what the hardest math problems were, and how to define it. So I googled Hardest Math ProblemsThe first hit is here. The 10 problems given there...
From Computational Complexity
In the future we will all have songs written about us, and it will be Lance's fault.
In response to my blog post about how its easier to FIND novelty songs (and other things) than it used to be (see here) Lance showed how easy it is to CREATE ahere...
From Computational Complexity
FLT solution annouement had its 31's anniv was about a month ago. Some poems about FLT NOT from ChatGPT
On June 21, 1993, at the Issac Newton Institute for Mathematical Science, Andrew Wiles announced that he had proven Fermat's Last Theorem. That wasn't quite right...
From Computational Complexity
The Term Quantum Being Misused ... Again
In a post from 2015 I noted that the word quantum is often misused (see here). Have things gotten better since then? I think you know the answer. But two uses of...
From Computational Complexity