Hypercomplex numbers | Supersymmetry
In mathematical physics, a Grassmann number, named after Hermann Grassmann (also called an anticommuting number or supernumber), is an element of the exterior algebra over the complex numbers. The special case of a 1-dimensional algebra is known as a dual number. Grassmann numbers saw an early use in physics to express a path integral representation for fermionic fields, although they are now widely used as a foundation for superspace, on which supersymmetry is constructed. (Wikipedia).
My #MegaFavNumber - The Bremner-Macleod Numbers
Much better video here: https://youtu.be/Ct3lCfgJV_A
From playlist MegaFavNumbers
Hensel's Lemma Number Theory 15
⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn ⭐my other channels⭐ Main Channel: https://www.youtube.com/michaelpennmath non-math podcast: http
From playlist Number Theory
5040 and other Anti-Prime Numbers - Numberphile
Audible: http://www.audible.com/numberphile (free trial) Dr James Grime discusses highly composite numbers. More links & stuff in full description below ↓↓↓ Continues and extra footage: https://youtu.be/PF2GtiApF3E Prime numbers (more videos): http://bit.ly/primevids http://www.antiprim
From playlist Prime Numbers on Numberphile
How to Integrate over Grassmann Numbers in Quantum Field Theory? (Berezin Integral)
In this video, we will show you how to do integrals with Grassmann numbers. Grassmann numbers are an important concept in quantum field theory, where we use them to describe fermions. They are named after the German mathematician Hermann Grassmann. The special thing about Grassmann numbers
From playlist Mathematical Physics
The GrassmannCalculus application, based on the work of Grassmann and Browne, is described. One example, the derivation of coordinate equations for lines and planes in n-dimensional space, is presented. This illustrates how smoothly Mathematica and Grassmann–Browne algebra merge to form a
From playlist Wolfram Technology Conference 2021
An Introduction to Tensor Renormalization Group (Lecture 3) by Daisuke Kadoh
PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II
From playlist NUMSTRING 2022
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
Ulysses Alvarez - The Up Topology on the Grassmann Poset
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Ulysses Alvarez, Binghamton University Title: The Up Topology on the Grassmann Poset Abstract: For a discrete poset X, McCord proved that there exists a weak homotopy equivalence from the order complex |X| to where X has
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
What is Hardy Ramanujan Number? || #YTShorts || Don't Memorise
Ramanujan was fascinated with numbers and made striking contributions to the branch of mathematics. One of which is the Hardy-Ramanujan number. Want to know what this number is? Watch this video- Don’t Memorise brings learning to life through its captivating educational videos. To Know Mo
From playlist Shorts
8128 and Perfect Numbers - Numberphile
For many years, 8128 was the largest known perfect number. But what is a perfect number? More links & stuff in full description below ↓↓↓ This video features Dr James Grime. James' own YouTube channel full of maths stuff can be found at http://www.youtube.com/singingbanana NUMBERPHILE We
From playlist James Grime on Numberphile
Vijay Shenoy - Review of many body field theory III
PROGRAM: STRONGLY CORRELATED SYSTEMS: FROM MODELS TO MATERIALS DATES: Monday 06 Jan, 2014 - Friday 17 Jan, 2014 VENUE: Department of Physics, IISc Campus, Bangalore PROGRAM LINK : http://www.icts.res.in/program/MTM2014 The realistic description of materials with strong electron-electro
From playlist Strongly correlated systems: From models to materials
Something special about 399 (and 2015) - Numberphile
It is the lowest Lucas-Carmichael Number... Featuring Ed Copeland. More links & stuff in full description below ↓↓↓ More about Ed's real work: http://bit.ly/CopelandGoesLong With thanks to these Patreon supporters: Herschal Sanders (from Susan) Today I Found Out Lê OK Merli Alex Bozzi
From playlist Ed Copeland on Numberphile
Supersymmetry, explained visually
What is supersymmetry? How can we visualize it? What is the difference between fermions and bosons? All these answers in 15 minutes! 0:00 - Supersymmetry 2:54 - Its advantages 4:23 - Relativity and quantum 5:57 - Grassmann numbers 8:07 - Coleman-Mandula theorem 10:04 - Visualizing supersy
From playlist Quantum World
Here I evaluate the Gaussian Integral in under a minute. This is a must-see for calculus lovers! Gaussian Integral: https://youtu.be/kpmRS4s6ZR4 Gaussian Integral Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCgLyHWMXGZnioRHLqOk2bW Subscribe to my channel: https://youtube.co
From playlist Gaussian Integral
Martina Lanini: Totally nonnegative Grassmannians, Grassmann necklaces and quiver Grassmannians
30 September 2021 Abstract: Totally nonnegative (tnn) Grassmannians are subvarieties of (real) Grassmannians which have been widely investigated thanks to the several applications in mathematics and physics. In a seminal paper on the subject, Postnikov constructed a cellularisation of the
From playlist Representation theory's hidden motives (SMRI & Uni of Münster)
Rafael Greenblatt - 2/2 The Scaling Limit of Non-solvable 2D Ising Models via Fermionic RG
The scaling limit of any 2D Ising model with ferromagnetic short range interactions at the critical point is expected to be a Conformal Field Theory with c=1/2, one instance of which is the theory of free Majorana fermions. This expectation comes with extremely detailed predictions on crit
From playlist 100…(102!) Years of the Ising Model
Area and volume | Wild Linear Algebra A 4 | NJ Wildberger
Area and volume in Linear Algebra are central concepts that underpin the entire subject, and lead naturally to the rich theory of determinants, a key subject of 18th and 19th century mathematics. This is the fourth lecture of a first course on Linear Algebra, given by N J Wildberger. He
From playlist WildLinAlg: A geometric course in Linear Algebra
DDPS | Model order reduction assisted by deep neural networks (ROM-net)
In this talk from June 10, 2021, David Ryckelynck of MINES ParisTech University discusses a general framework for projection-based model order reduction assisted by deep neural networks. The proposed methodology, called ROM-net [1], consists in using deep learning techniques to adapt the
From playlist Data-driven Physical Simulations (DDPS) Seminar Series
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