Graph invariants | Algebraic numbers
In mathematics, a Perron number is an algebraic integer α which is real and exceeds 1, but such that its conjugate elements are all less than α in absolute value. For example, the larger of the two roots of the irreducible polynomial is a Perron number. Perron numbers are named after Oskar Perron; the Perron–Frobenius theorem asserts that, for a real square matrix with positive algebraic coefficients whose largest eigenvalue is greater than one, this eigenvalue is a Perron number. As a closely related case, the Perron number of a graph is defined to be the spectral radius of its adjacency matrix. Any Pisot number or Salem number is a Perron number, as is the Mahler measure of a monic integer polynomial. (Wikipedia).
My #MegaFavNumbers is 2^82589933-1 // The largest Mersenne prime…..yet
This video is part of the #MegaFavNumbers series where a tonne of math youtubers like @numberphile @standupmaths and @3blue1brown share their favourite MEGA numbers, i.e. numbers over a million. Check out the full playlist here: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPs
From playlist MegaFavNumbers
My #MegaFavNumber is 79,873,884
My #MegaFavNumber is 79,873,884 which is the first number over 1 million that is in its own location in the digits of pi
From playlist MegaFavNumbers
1,010,010,101,000,011 - #MegaFavNumbers
This is my submission to the #megafavnumbers project. My number is 1010010101000011, which is prime in bases 2, 3, 4, 5, 6 and 10. I've open-sourced my code: https://bitbucket.org/Bip901/multibase-primes Clarification: by "ignoring 1" I mean ignoring base 1, since this number cannot be fo
From playlist MegaFavNumbers
Conversion Arcs and 2,916,485,648,612,232,232,816 (MegaFavNumbers)
I'm sorry. The MegaFavNumbers playlist: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo
From playlist MegaFavNumbers
Lec 2 | MIT 6.189 Multicore Programming Primer, IAP 2007
Lecture 2: Introduction to Cell processor (Courtesy of Michael Perrone. Used with permission.) License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu Subtitles are provided through the generous assistance of Rohan Pai.
From playlist MIT 6.189 Multicore Programming Primer, January (IAP) 2007
Mike Boyle - Nonnegative matrices : Perron Frobenius theory and related algebra (Part 2)
Nonnegative matrices : Perron Frobenius theory and related algebra (Part 2) Licence: CC BY NC-ND 4.0Lecture I. I’ll give a complete elementary presentation of the essential features of the Perron Frobenius theory of nonnegative matrices for the central case of primitive matrices (the "Perr
From playlist École d’été 2013 - Théorie des nombres et dynamique
Mike Boyle - Nonnegative matrices : Perron Frobenius theory and related algebra (Part 4)
Lecture I. I’ll give a complete elementary presentation of the essential features of the Perron Frobenius theory of nonnegative matrices for the central case of primitive matrices (the "Perron" part). (The "Frobenius" part, for irreducible matrices, and finally the case for general nonnega
From playlist École d’été 2013 - Théorie des nombres et dynamique
Mike Boyle - Nonnegative matrices : Perron Frobenius theory and related algebra (Part 1)
Lecture I. I’ll give a complete elementary presentation of the essential features of the Perron Frobenius theory of nonnegative matrices for the central case of primitive matrices (the "Perron" part). (The "Frobenius" part, for irreducible matrices, and finally the case for general nonnega
From playlist École d’été 2013 - Théorie des nombres et dynamique
Can a number be boring? (feat 14972)
Uninteresting and boring numbers, with Dr Tony Padilla. More links & stuff in full description below ↓↓↓ With all due respect to 14972, 17087, 1121 and 2121 Small numbers follow-up video: http://youtu.be/4UgZ5FqdYIQ The OEIS: https://oeis.org Nice article on Boring Numbers: http://bit.ly/
From playlist Tony Padilla on Numberphile
How one teenager unearthed baseball's untold history - Cam Perron
View full lesson: http://ed.ted.com/lessons/how-one-teenager-unearthed-baseball-s-untold-history-cam-perron Teenager Cam Perron loved baseball, so he began writing letters to the veteran players on his baseball cards. He only wanted autographs, but eventually acquired something even riche
From playlist TEDYouth Talks
On the classification of fusion categories – Sonia Natale – ICM2018
Algebra Invited Lecture 2.5 On the classification of fusion categories Sonia Natale Abstract: We report, from an algebraic point of view, on some methods and results on the classification problem of fusion categories over an algebraically closed field of characteristic zero. © Interna
From playlist Algebra
Mike Boyle - Nonnegative matrices : Perron Frobenius theory and related algebra (Part 3)
Nonnegative matrices : Perron Frobenius theory and related algebra (Part 3) Licence: CC BY NC-ND 4.0Lecture I. I’ll give a complete elementary presentation of the essential features of the Perron Frobenius theory of nonnegative matrices for the central case of primitive matrices (the "Perr
From playlist École d’été 2013 - Théorie des nombres et dynamique
Bourbaphy - 03/12/16 - Ondes gravitationnelles - C. N. Man
C. N. Man The VIRGO and LIGO instruments
From playlist Bourbaphy - 03/12/16 - Ondes gravitationnelles
#MegaFavNumbers: Mine is multiple primes at once.
I didn't even find it in the OEIS. The other kind of manifold primes got their entry in the OEIS. Prime in 7 bases: https://oeis.org/A052027 Prime in 8 bases: https://oeis.org/A038537 Prime in all 9 Bases: https://oeis.org/A084482 Special thanks to caplja1 He provided the python-code
From playlist MegaFavNumbers
My entry in the #MegaFavNumbers project by James Grime and Matt Parker. The number in question is 2¹⁰²⁴, also known as 179,769,313,486,231,590,772,930,519,078,902,473,361,797,697,894,230,657,273,430,081,157,732,675,805,500,963,132,708,477,322,407,536,021,120,113,879,871,393,357,658,789,76
From playlist MegaFavNumbers
The recipe for moments of L-functions and characteristic polynomials of random mat... - Sieg Baluyot
50 Years of Number Theory and Random Matrix Theory Conference Topic: The recipe for moments of L-functions and characteristic polynomials of random matrices Speaker: Sieg Baluyot Affiliation: American Institute of Mathematics Date: June 23, 2022 In 2005, Conrey, Farmer, Keating, Rubinste
From playlist Mathematics
MegaFavNumbers - A number with 19729 digits
This video is about my MegaFavNumber. It has 19729 digits, and it is a power of two. [This link is now broken, and I can't find it anywhere else. :( ] See all the digits here: https://sites.google.com/site/largenumbers/home/appendix/a/numbers/265536 The OEIS sequence I mentioned: https:/
From playlist MegaFavNumbers
Invest in blue-chip art for the very first time by signing up for Masterworks: https://masterworks.art/caspian Purchase shares in great masterpieces from artists like Pablo Picasso, Banksy, Andy Warhol, and more. How Masterworks works: -Create your account with crypto wallet or traditional
From playlist Economics