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From Computational Complexity
#### My Survey on Hilbert's 10th for particular (d,n) is ready for you to help me on!

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...

From Computational Complexity
#### Dr Jill Biden

(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...

From Computational Complexity
#### Quarterly Th. Wksp `at' Northwestern, and thoughts inspired by it

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...

From Computational Complexity
#### In 1974 Planarity was O(V) time and could do 900 node graphs in 12 seconds! Fast then...

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...

From Computational Complexity
#### James Randi, Magicians-Author-Skeptic, passed away at the age of 92

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)...

From Computational Complexity
#### Fun with birthdays, inspired by Nov 20

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...

From Computational Complexity
#### Alex Trebek/What is today's post about?

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...

From Computational Complexity
#### Random Thoughts on the Election (2020)

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...

From Computational Complexity
#### I polled my class about the election

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...

From Computational Complexity
#### Do not become obsessed with the Polls unless...

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...

From Computational Complexity
#### Nature vs Nurture close to my birthday

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...

From Computational Complexity
#### Hugh Woodin, Kurt Godel, Dwayne `The Rock' Johnson, Robert De Niro, David Frum, Tom Selleck: Do I care what they think? Should I?

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...

From Computational Complexity
#### Revisiting the Continuum Hypothesis

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...

From Computational Complexity
#### A Quote from Testla which is very predictive in one way, and perhaps not in another way

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,...

From Computational Complexity
#### Baseball can go on forever, it doesn't just seem that way

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...

From Computational Complexity
#### An interesting serendipitous number

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...

From Computational Complexity
#### When are both x^2+3y and y^2+3y both squares, and a more general question

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...

From Computational Complexity
#### Two Math Problems of interest (at least to me)

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...

From Computational Complexity
#### A well known theorem that has not been written down- so I wrote it down- CLIQ is #P-complete

(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...

From Computational Complexity
#### Sharp P and the issue of `natural problems'

#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...