Computational Complexity

Computational Complexity and other fun stuff in math and computer science from Lance Fortnow and Bill Gasarch

Sunday, May 30, 2021

What is a natural question? Who should decide?

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(Thanks to Timothy Chow for inspiring this post.) My survey on Hilbert's Tenth Problem(see  here ) is about variants of the problem. One...
3 comments:
Tuesday, May 25, 2021

Does the university matter?

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As we come out of a pandemic with online teaching and research collaborations, how much do we actually need the university? Theoretical rese...
9 comments:
Thursday, May 20, 2021

Emerging from the Pandemic

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The City of Chicago yesterday agreed with the latest CDC guidelines that those of us fully vaccinated no longer have to wear masks in most s...
2 comments:
Sunday, May 16, 2021

Why do countries and companies invest their own money (or is it?) in Quantum Computing (Non-Rhetorical)

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 There have been some recent blog posts by Scott (see  here ) and Lance (see  here )  about the hype for SHORT TERM APPLICATIONS of Quantum ...
11 comments:
Thursday, May 13, 2021

Cryptocurrency, Blockchains and NFTs

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 I first wrote about bitcoin in this blog ten years ago  after I gave a lecture in a cryptography class I taught at Northwestern. Two years ...
2 comments:
Sunday, May 09, 2021

Trump, Facebook, and ComplexityBlog

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 I care about the Facebook decision to ban Trump, but I do not have a strong opinion about it. I have heard arguments on both sides now, fro...
7 comments:
Thursday, May 06, 2021

Negotiations

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So you got an offer to be an assistant professor in the computer science department at Prestigious U. Congratulations!  Time to negotiate yo...
8 comments:
Sunday, May 02, 2021

The Mythical Man-Month, Hen-Day, and Cat-Minute (Fred Brooks Turned 90)

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 ( Added later: Fred Brooks passed away on November 7, 2022, at the age of 90.) The Mythical Man-Month is a great book which talks about the...
1 comment:
Sunday, April 25, 2021

Ferrer's Diagrams can be used to prove X theorems about partitions. What is X?

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1978: I took an excellent  ugrad course in combinatorics from James C Frauenthal (he sometimes wrote his name as the biniomial cofficient (J...
10 comments:
Thursday, April 22, 2021

The Million Dollar Sermon

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Illinois Tech has one of the greatest origin stories for a university. In 1890 Frank Gunsaulus, a pastor on the south side of Chicago, gave ...
1 comment:
Sunday, April 18, 2021

An investment puzzle and speculation as to why some think its hard

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 This is a Guest Post by David Marcus. He gives a puzzle and its solution, which is interesting, and then speculates as to why some people g...
10 comments:
Thursday, April 15, 2021

Ordering Beauty

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First, congratulations to fellow complexity theorist and  blogger Scott Aaronson for receiving the 2020 ACM Prize in Computing for "g...
6 comments:
Sunday, April 11, 2021

Is the following reaction to getting the first COVID shot logical?

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 Alice works at a charity that puts together bag and box lunches for children. They all wear masks and they are 12 feet apart and very caref...
11 comments:
Thursday, April 08, 2021

Quantum Stories

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Scott Aaronson  wrote last month about the hype over quantum computing. I'd thought I'd drop a few stories. I was once asked to rev...
8 comments:
Sunday, April 04, 2021

Do any NP-reductions use deep mathematics? Non-rhetically

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BILL: Lets say we didn't know that FACTORING NPC --> NP=coNP. then what direction would we think Factoring in P or NPC?  STUDENT: In ...
17 comments:
Thursday, April 01, 2021

Want to Buy a Theorem?

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This is embarrassing to admit but after a few badly timed trades on GameStop options I find myself a bit tight on money. To raise some cash,...
4 comments:
Monday, March 29, 2021

Slicing the Hypercube

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Here's a neat result I heard about at virtual Dagstuhl last week, a new lower bound on the number of hyperplanes that cuts all the edge...
Thursday, March 25, 2021

The key to my Taylor series problem: Buddy can you spare a penny, nickel, dime, or quarter

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 In my last blog post I posed a question about finding the coeff of x^100 in a particular Taylor Series. The question and answer are given  ...
3 comments:
Monday, March 22, 2021

A Taylor Series Problem

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 I post a problem today and its solution on Thursday. Comments are fine, though if you don't want to get a hint, don't read them.  F...
12 comments:
Wednesday, March 17, 2021

I read the news today oh boy

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I'm absolutely elated that  Lázló Lovász and Avi Wigderson won the Abel Prize . More from the New York Times , Quanta Magazine and Gil ...
6 comments:
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