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Nathaniel JohnstonA blog of recreational math and quantum information theory
http://www.njohnston.ca/
A blog of recreational math and quantum information theory
http://www.njohnston.ca/
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Nathaniel Johnston | njohnston.ca Reviews
https://njohnston.ca
A blog of recreational math and quantum information theory
njohnston.ca
Nathaniel Johnston » Non-Uniqueness of Minimal Superpermutations
http://www.njohnston.ca/publications/non-uniqueness-of-minimal-superpermutations
Sackville, New Brunswick, Canada. Non-Uniqueness of Minimal Superpermutations. We examine the open problem of finding the shortest string that contains each of the n! Permutations of n symbols as contiguous substrings (i.e., the shortest superpermutation on n symbols). It has been conjectured that the shortest superpermutation has length. From arXiv:1303.4150 [math.CO]. N Johnston. Non-uniqueness of minimal superpermutations. 313:1553 1557, 2013. The minimal superpermutation problem. E-Mail (will not be ...
Nathaniel Johnston » C
http://www.njohnston.ca/tag/c
Sackville, New Brunswick, Canada. Posts Tagged ‘C’. Counting the Possible Orderings of Pairwise Multiplication. February 12th, 2014. Suppose we are given n distinct positive real numbers. The question we are going to consider in this post is as follows:. How many different possible orderings are there of the. To help illustrate what we mean by this question, consider the n = 2 case, where. Then the 3 possible products of. And it is straightforward to see that we must have. In the n = 3 case, we have.
Nathaniel Johnston » The Minimal Superpermutation Problem
http://www.njohnston.ca/2013/04/the-minimal-superpermutation-problem
Sackville, New Brunswick, Canada. The Minimal Superpermutation Problem. The Minimal Superpermutation Problem. April 10th, 2013. Suppose that you want to watch the episodes of the TV series, consecutively, in the correct order. The question is: how many episodes must you watch in order to do this? To illustrate what we mean by this question, suppose for now that n = 2 (i.e., the show was so terrible that it was cancelled after only 2 episodes. And one of minimal length is called a. Similarly, the minimal ...
Nathaniel Johnston » My Websites
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Sackville, New Brunswick, Canada. ConwayLife.com is a website devoted to Conway’s Game of Life. And similar cellular automata. Most importantly, the website contains LifeWiki. An encyclopedia for Life-like cellular automata. With over 1,000 articles and 700 patterns, it is the largest collection of patterns and encyclopaedic information about Life-like cellular automata on the internet. The site itself was launched in December 2008, and LifeWiki was launched soon thereafter in January 2009. The calculati...
Nathaniel Johnston » All Minimal Superpermutations on Five Symbols Have Been Found
http://www.njohnston.ca/2014/08/all-minimal-superpermutations-on-five-symbols-have-been-found
Sackville, New Brunswick, Canada. All Minimal Superpermutations on Five Symbols Have Been Found. All Minimal Superpermutations on Five Symbols Have Been Found. August 13th, 2014. Recall from an earlier blog post. Until now, the length of minimal superpermutations has only been known when n 4: they have length 1, 3, 9, and 33 in these cases, respectively. It has been conjectured that minimal superpermutations have length. The Eight Minimal Superpermutations. This phenomenon seemed to be fairly general: in...
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Nathaniel Johnston » The Maximum Score in the Game “Entanglement” is 9080
http://www.nathanieljohnston.com/2011/01/the-maximum-score-in-the-game-entanglement-is-9080
Sackville, New Brunswick, Canada. The Maximum Score in the Game “Entanglement” is 9080. The Maximum Score in the Game “Entanglement” is 9080. January 21st, 2011. Is a browser-based game that has gained a fair bit of popularity lately due to its recent inclusion in Google’s Chrome Web Store. The way the game works is probably best understood by actually playing it, but here is my brief attempt:. You may rotate, but not move the hexagon that has been provided to you. On a Standard-Size Game Board. Paths in...
Contributors - QETLAB
http://www.qetlab.com/Contributors
QETLAB started as a project by Nathaniel Johnston. And is still primarily maintained by him. Several other people have also contributed to its development (see the contributors page on github. For more detailed information):. Bug reports, testing, and general guidance for best practices with QETLAB. Also created the. Bug reports, testing, and contributions to several functions such as. NJ also thanks the Institute for Quantum Computing. Retrieved from " http:/ www.qetlab.com/wiki/index.php?
Program | ILAS 2017: Connections
https://ilas2017.math.iastate.edu/program
LAA Early Career Speakers. Plenary Speakers for ILAS 2017: Connections. Indian Statistical Institute, Hans Schneider Prize Speaker. The University of Manchester, SIAG-LA Lecturer. Tamara G. Kolda. Kyoto University, Taussky-Todd Lecturer. University College Dublin, LAMA Lecturer. KU Leuven, ILAS 30th Anniversary LAA Lecturer. LAA Early Career Speakers. University of Delaware, in mini-symposium Linear Algebra and Positivity with Applications to Data Science. Minerva Catral and Louis Deaett. Rachel Quinlan ...
Nathaniel Johnston » A Derivation of Conway’s Degree-71 “Look-and-Say” Polynomial
http://www.nathanieljohnston.com/2010/10/a-derivation-of-conways-degree-71-look-and-say-polynomial
Sackville, New Brunswick, Canada. A Derivation of Conway’s Degree-71 “Look-and-Say” Polynomial. A Derivation of Conway’s Degree-71 “Look-and-Say” Polynomial. October 31st, 2010. Is the number of digits in the n. Term in the sequence, then. Where λ is the unique positive real root of the following degree-71 polynomial:. In order to demystify this seemingly bizarre fact, in this post we will show where this polynomial comes from and prove that the above limit does indeed equal its largest root (which happe...
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By Small and Simple Things
By Small and Simple Things. Thursday, June 25, 2015. After swim lessons a little girl told Megan, "I didn't pass but that's okay because then you can be my teacher again because you are beautiful.". While I was tucking Derek in I asked him about the best part of his day and he answered when Megan and Michael came home. Michael has been reading Alcatraz to Derek at night. This morning Derek was reading it himself! He's not a big reader and when he reads it's always nonfiction. Things Peter says a lot:.
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Nathaniel Johnston
Sackville, New Brunswick, Canada. How to compute hard-to-compute matrix norms. January 11th, 2016. There are a wide variety of different norms of matrices and operators. That are useful in many different contexts. Some matrix norms, such as the Schatten norms. And Ky Fan norms. Are easy to compute thanks to the singular value decomposition. However, the computation of many other norms, such as the induced p-norms. The induced p q norm of a matrix B is defined as follows:. However, outside of these three ...
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Nathan Johnston | Husband . Father . Musician . Educator
Husband . Father . Musician . Educator. Blog: Looking Past Our Musical Tomorrow. Photo provided by JKJPhotography. Viewed as a creative visionary, Nathan Johnston. Demonstrates the ability to bring forth invested artistic expressions from both presenters and audience members alike. He focuses on the opportunities for “creative education”, blending traditional and non-traditional approaches in the same classroom/community space. Current Vitae available upon request. Stocking the Vending Machine. A phenome...
Portrait, Event, Bar Mitzvah, Wedding Photography - Greater New York
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NJohnston Photography – Amazing images and memories captured by Nathaniel Johnston
Amazing images and memories captured by Nathaniel Johnston. Amazing images and memories captured by Nathaniel Johnston. It was a pleasure photographing this event at the Clement Restaurant in the Peninsula Hotel on 5th. Avenue in New York. Clement Restaurant is a beautifully appointed establishment within the Peninsula Hotel featuring impeccable service and amazing food. I’m a relentless perfectionist, but it’s easy to get so wrapped up in the hustle of bar mitzvah,…. B’nai yisrael bat mitzvah. If you...
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