From Schneier on Security
Artificial intelligence (AI) has been billed as the next frontier of humanity: the newly available expanse whose exploration
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B. Schneier| February 29, 2024
Hilbert's 10th problem is (in modern terminology) to find an algorithm that will, given a poly p(x1,...,xn) in Z[x1,...,xn], determine if it has a solution in...gasarch From Computational Complexity | January 5, 2021 at 08:13 PM
(I was helped on this post by Gorjan Alagic, Andrew Childs, Tom Goldstein, Daniel Gottsman, Clyde Kruskal, Jon Katz. I emailed them for their thoughts on thehere...gasarch From Computational Complexity | December 20, 2020 at 01:22 AM
On the Northwestern CS Theory Group there is a set of Quarterly Theory Workshops. There is one coming up on Dec 17-18, 2020, called the Junior Theorists Workshop...gasarch From Computational Complexity | December 12, 2020 at 03:33 PM
In 1974 Hopcroft and Tarjan showed that Planarity is in polynomial time. That is an understatement- they actually have an O(V) algorithm which one can actually...gasarch From Computational Complexity | December 6, 2020 at 09:53 PM
James The Amazing Randi died on October 20, 2020, at the age of 92. He is survived byhis husband Jose Alvarez. His Wikipedia page is here A few Randi Points:
0)...gasarch From Computational Complexity | November 29, 2020 at 11:36 PM
On Nov 20, 2020 the Google Doodle was of Benoit Mandelbrot for his 96th birthday. Why have a Doodle on his 96th bday? Anyway, the Doodle is here. On Nov 20,here...gasarch From Computational Complexity | November 22, 2020 at 04:19 PM
Alex Trebek, long time host of the TV show Jeopardy! (the exclamation point is part of the name, though I will omit it for the rest of the post), passed away in...gasarch From Computational Complexity | November 14, 2020 at 03:26 PM
1) Biden will be the oldest president (measuring by when they take the oath of office), at 78. The next two are Trump 70 and Reagan 69. Biden will be older entering...gasarch From Computational Complexity | November 8, 2020 at 10:26 AM
In 2016 I had the Sophomore discrete math class do a poll of who they wanted for president.In 2020 I had the both my Senior Crypto class and Clyde's Sophomore...gasarch From Computational Complexity | November 2, 2020 at 10:41 AM
I know someone who checks the polls 3 times a day to see who looks like they will be elected prez. She cares A LOT about the election. It is irrelevant to this...gasarch From Computational Complexity | October 25, 2020 at 04:36 PM
Since I was born on Oct 1, 1960 (that's not true---if I posted my real birthday I might get my identity stolen), I will do a nature vs nurture post based onhere...gasarch From Computational Complexity | October 19, 2020 at 11:55 AM
MATH:My last post on CH mentioned that Hugh Woodin used to think NOT(CH) but now thinks CH. In both cases his reasons have some math content to them. Also, note...gasarch From Computational Complexity | October 12, 2020 at 01:49 PM
I have been thinking about CH lately for two reasons1) I reread the articleHilbert's First Problem: The Continuum Hypothesis by Donald Martin from Proceedings of...gasarch From Computational Complexity | October 8, 2020 at 09:52 AM
Nikola Testla, famous inventor, who lived 1856--1943 said the following:When wireless is perfectly applied the whole earth will be converted intoa huge brain,...gasarch From Computational Complexity | September 27, 2020 at 09:44 PM
Most games have some way to make sure they cannot go on forever.1) Chess: I had thought there was a 50-move rule and a 3-times-same-position rule, but its a byte...gasarch From Computational Complexity | September 20, 2020 at 02:56 PM
Last seek I blogged about two math problems of interest to me here.One of them two people posted answers, which was great since I didn't know how to solve them...gasarch From Computational Complexity | September 14, 2020 at 12:16 PM
In my last post (see here) I asked two math questions. In this post I discuss one of them. (I will discuss the other one later, probably Monday Sept 14.)For which...gasarch From Computational Complexity | September 10, 2020 at 09:33 AM
I will give two math problems that are of interest to me.These are not new problems, however you will have more fun if you work on them yourself and leave comments...gasarch From Computational Complexity | September 6, 2020 at 05:05 PM
(The two proofs that CLIQ is #P-complete that I wrote up and talk about in this post are here. I think both are well known but I have not been able to find a writeup...gasarch From Computational Complexity | September 1, 2020 at 11:29 AM
#P was defined by Valiant as a way to pin down that the PERMANENT of a matrix is hard to compute.The definition I give is equivalent to the one Valiant gave.ghere...gasarch From Computational Complexity | August 23, 2020 at 09:40 PM