Computational Complexity

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

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:
Monday, March 15, 2021

I didn't understand The Art Market before the NFT sale, and I understand it less now

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 (This post is a sequel to my post from Feb 13, 2007 which you can find  here . While the gap from 2007 until 2021 seems large, its not as l...
5 comments:
Friday, March 12, 2021

Cake Cutting in Overtime

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There's a new  proposal out of Baltimore  for a new way to handle overtime in National Football League games. This post is about America...
6 comments:
Sunday, March 07, 2021

When do I need to warn about Spoilers?

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In a recent post  here  I mentioned in passing a plot point from the last season of The Big Bang Theory. Note that the last season was in 20...
7 comments:
Sunday, February 28, 2021

Using number-of-PhD's as a measure of smartness is stupid.

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In Thor:Ragnorak Bruce Banner mentions that he has 7 PhDs. Gee, I wonder how he managed to slip that into a conversation casually.  Later i...
14 comments:
Thursday, February 25, 2021

Complexity is the Enemy of Speed

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The title of this post came from an opinion piece in the Wall Street Journal yesterday on vaccine distribution. Many attempts to get the va...
6 comments:
Monday, February 22, 2021

Good Names and Bad Names of Game Shows and theorems

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 In my post on Alex Trebek, see  here , I noted that Jeopardy!  is not a good name for the game show since it doesn't tell you much abou...
8 comments:
Sunday, February 14, 2021

Two examples of Journalists being... Wrong. One BIG one small

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 Journalists sometimes get things wrong. This is not news, but it is interesting when you KNOW they are wrong.  1) Scott Aaronson has a GREA...
5 comments:
Sunday, February 07, 2021

The Victoria Delfino Problems: an example of math problems named after a non-mathematician

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 If you Google Victoria Delfino you will find that she is a real estate agent in LA (well, one of the Victoria Delfino's you find is suc...
6 comments:
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