Combinatorics | Triangles of numbers | Integer sequences
In mathematics, a Delannoy number describes the number of paths from the southwest corner (0, 0) of a rectangular grid to the northeast corner (m, n), using only single steps north, northeast, or east. The Delannoy numbers are named after French army officer and amateur mathematician Henri Delannoy. The Delannoy number also counts the number of global alignments of two sequences of lengths and , the number of points in an m-dimensional integer lattice or cross polytope which are at most n steps from the origin, and, in cellular automata, the number of cells in an m-dimensional von Neumann neighborhood of radius n while the number of cells on a surface of an m-dimensional von Neumann neighborhood of radius n is given with (sequence in the OEIS). (Wikipedia).
LHC "Collide" (with subtitles)
In 2015, three graduate students and a communications officer made a CERN-themed parody of Howie Day’s hit song “Collide”. Howie Day saw the parody on Twitter, and asked to visit CERN. We said yes, but only if he covered our parody of his song and let us make a music video with him during
From playlist Music and fun
TODD TERJE - Delorean Dynamite (album version) OFFICIAL
http://smarturl.it/TTitsalbumtime www.roughtrade.com/albums/80564
From playlist 2014 (plus some from 2013)
Independent Cinema: Crash Course Film History #12
Hollywood was riding high until their formula got to be stale. In places like Italy and France (as well as other places in the world we'll talk about soon) filmmakers were starting to break out of the mold and make daring films that challenged the idea of what movies were and what audience
From playlist Film History
Tribonacci Numbers (and the Rauzy Fractal) - Numberphile
Edmund Harriss introduces a very cool tiling and talks about Tribonacci Numbers. More links & stuff in full description below ↓↓↓ Numberphile Podcast: https://www.numberphile.com/podcast Or on YouTube: http://bit.ly/Numberphile_Pod_Playlist More Edmund on Numberphile: http://bit.ly/Ed_Ha
From playlist Edmund Harriss on Numberphile
CityVideoFINAL 5-30-11_ youtube
From playlist AMATYC New Orleans Videos
Numberphile is also on Facebook: http://www.facebook.com/numberphile More links & stuff in full description below ↓↓↓ 142857 is the most "famous" of the intriguing cyclic numbers. Featuring Dr Tony Padilla from the University of Nottingham - https://twitter.com/DrTonyPadilla NUMBERPHILE
From playlist Tony Padilla on Numberphile
The Internet is FULL - Numberphile
What do we do now that all 4,294,967,296 IP addresses have been given out? James Clewett discusses. More links & stuff in full description below ↓↓↓ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://tw
From playlist Computer stuff on Numberphile
The mystery of 0.577 - Numberphile
The harmonic series and the elusive Euler–Mascheroni constant. More links & stuff in full description below ↓↓↓ Featuring Dr Tony Padilla. Audible: http://www.audible.com/numberphile Extra footage: https://youtu.be/eRGN8ThZfhU Videos about -1/12: http://bit.ly/minus_twelfth Tony at the
From playlist Tony Padilla on Numberphile
998,001 and its Mysterious Recurring Decimals - Numberphile
There has been some internet buzz about 998001, so Numberphile sheds some light on matters. More links & stuff in full description below ↓↓↓ This video features Dr James Grime and we mention the YouTube channel Vsauce. James' website: http://singingbanana.com/ Vsauce: http://www.youtube.
From playlist James Grime on Numberphile
DesmosLIVE: An Exploration of Desmos + Mathalicious
Kate Nowak of Mathalicious explores a few Mathalicious lessons with Desmos
From playlist Desmos LIVE
4937775 is a Smith Number - as are 27, 666 and infinite others! More links & stuff in full description below ↓↓↓ Smith Numbers were first discovered in a phone book, explains Professor Ed Copeland from the University of Nottingham. Ed Tweets: https://twitter.com/ProfEdCopeland NUMBERPHIL
From playlist Numberphile Videos
How is i equal to square root of -1?
What is 'i'? More importantly, what is a complex number? How are complex numbers relevant to the context of other familiar numbers? Chapters: 00:00 Introduction 01:46 Logo of Reals and Rationals 02:11 Expanding real numbers 03:25 Motivation using whole (natural) numbers 06:08 Planar numb
From playlist Summer of Math Exposition 2 videos
Fun with Math: Surprises with Arithmetic and Numbers
Stephen Wolfram shows kids and adults some fun unique things you can do with math. All demonstrations powered by the Wolfram Language. Originally livestreamed at: https://twitch.tv/stephen_wolfram Follow us on our official social media channels: Twitter: https://twitter.com/WolframRese
From playlist Stephen Wolfram Livestreams
How to understand the REAL NUMBER LINE - COLLEGE ALGEBRA
In this video we talk about natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. We also show the real number line and the inequalities less than and greater than. 00:00 Intro 00:29 Number system 04:53 Visual representation of numbers 07:37 Rea
From playlist College Algebra
This video provides a basic introduction into real numbers. It explains how to distinguish them from imaginary numbers. It also discusses the difference between rational and irrational numbers as well as integers, natural numbers, and whole numbers. Examples include repeating and non-re
From playlist New Algebra Playlist
This chemistry video tutorial answers the question - what are isotopes? Isotopes are substances that are composed of the same element but consist of different mass numbers and number of neutrons. They share the same atomic number and therefore the same number of protons. This video cont
From playlist New AP & General Chemistry Video Playlist
Pascal's wager and real numbers
My entry for 3blue1brown's contest, talking about Pascal's wager and how it leads to interesting questions about (hyper)real numbers. A big shoutout to Grant for coming up with this wonderful idea. Link to Thierry Platinis channel for more on hyperreal numbers: https://www.youtube.com/cha
From playlist Summer of Math Exposition Youtube Videos
Year 13/A2 Pure Chapter 0.1 (Subsets of Real Numbers, Representatives and Proof)
Welcome to the first video for year 13 (A2) Pure Mathematics! This video is part of a series of three that I've called Chapter 0, and is meant as a foundation for Year 13. The primary reasons for doing this are that the difficulty of Year 13 is markedly harder than Year 12 content, and al
From playlist Year 13/A2 Pure Mathematics
My favorite proof of the n choose k formula!
The binomial coefficient shows up in a lot of places, so the formula for n choose k is very important. In this video we give a cool combinatorial explanation of that formula! Challenge Problems playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJGkzGsXMYQt8bi5ImYtiEMM Subscribe t
From playlist Challenge Problems
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