Unsolved problems in mathematics | Combinatorial design | Matrices
In mathematics, a Hadamard matrix, named after the French mathematician Jacques Hadamard, is a square matrix whose entries are either +1 or −1 and whose rows are mutually orthogonal. In geometric terms, this means that each pair of rows in a Hadamard matrix represents two perpendicular vectors, while in combinatorial terms, it means that each pair of rows has matching entries in exactly half of their columns and mismatched entries in the remaining columns. It is a consequence of this definition that the corresponding properties hold for columns as well as rows. The n-dimensional parallelotope spanned by the rows of an n×n Hadamard matrix has the maximum possible n-dimensional volume among parallelotopes spanned by vectors whose entries are bounded in absolute value by 1. Equivalently, a Hadamard matrix has maximal determinant among matrices with entries of absolute value less than or equal to 1 and so is an extremal solution of Hadamard's maximal determinant problem. Certain Hadamard matrices can almost directly be used as an error-correcting code using a Hadamard code (generalized in Reed–Muller codes), and are also used in balanced repeated replication (BRR), used by statisticians to estimate the variance of a parameter estimator. (Wikipedia).
What is the "hadron" in the name Large Hadron Collider?
Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu
From playlist Science Unplugged: Particle Physics
Le "Large Hadron Collider" (français)
un apreçu du grand collisionneur de hadrons (LHC) et de son programme de recherche
From playlist Français
Linear Algebra for Computer Scientists. 12. Introducing the Matrix
This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order
From playlist Linear Algebra for Computer Scientists
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
A 10' overview of the LHC project and its research plans
From playlist The Large Hadron Collider
2 Construction of a Matrix-YouTube sharing.mov
This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.
From playlist Linear Algebra
Complex Matrices ( An intuitive visualization )
Complex Matrices are not given enough credit for what they do and even when they are used its often introduced as an foreign entity. This video was made to shed light on such a misinterpreted topic. Timestamps 00:00 - Introduction 00:11 - Matrix 00:45 - Complex Number 02:50 - Complex Ma
From playlist Summer of Math Exposition Youtube Videos
We have already looked at the column view of a matrix. In this video lecture I want to expand on this topic to show you that each matrix has a column space. If a matrix is part of a linear system then a linear combination of the columns creates a column space. The vector created by the
From playlist Introducing linear algebra
il Large Hadron Collider (Italiano)
Una panoramica sul progetto LHC ed i suoi campi di ricerca.
From playlist Italiano
Basic Tensor Arithmetic (The Hadamard Product) — Topic 12 of Machine Learning Foundations
In this video from my Machine Learning Foundations series, I demonstrate basic tensor arithmetic (including the Hadamard product) through hands-on code demos in NumPy, TensorFlow, and PyTorch. There are eight subjects covered comprehensively in the ML Foundations series and this video is
From playlist Linear Algebra for Machine Learning
Topics in Combinatorics lecture 5.0 --- Sets of vectors with no acute angles, and Hadamard matrices
How many vectors can you find in R^n if the angle between any two of them is at least a right angle? It's easy to see that one can find 2n such vectors, but can one do any better than this? And what if the vectors have to have all coordinates equal to 1 or -1? This video contains answers t
From playlist Topics in Combinatorics (Cambridge Part III course)
Lec 20 | MIT 6.451 Principles of Digital Communication II, Spring 2005
The Sum-Product Algorithm View the complete course: http://ocw.mit.edu/6-451S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.451 Principles of Digital Communication II
DDPS | Entropy stable schemes for nonlinear conservation laws
High order methods are known to be unstable when applied to nonlinear conservation laws with shocks and turbulence, and traditionally require additional filtering, limiting, or artificial viscosity to avoid solution blow up. Entropy stable schemes address this instability by ensuring that
From playlist Data-driven Physical Simulations (DDPS) Seminar Series
From Classical to Quantum Stochastic Process by Soham Biswas
DISCUSSION MEETING STATISTICAL PHYSICS: RECENT ADVANCES AND FUTURE DIRECTIONS (ONLINE) ORGANIZERS: Sakuntala Chatterjee (SNBNCBS, Kolkata), Kavita Jain (JNCASR, Bangalore) and Tridib Sadhu (TIFR, Mumbai) DATE: 14 February 2022 to 15 February 2022 VENUE: Online In the past few dec
From playlist Statistical Physics: Recent advances and Future directions (ONLINE) 2022
Basis and Quantum State; Quantum Operators
In this video, we review concepts of quantum basis and quantum state (in a finite-dimensional Hilbert space) and how to implement them in the Wolfram Quantum Framework. We also discuss the basis transformation. For more info and examples, please visit the Wolfram Quantum Framework resource
From playlist Daily Study Group: Quantum Computation Framework
Thomas Stoll: On generalised Rudin-Shapiro sequences
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 26, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
Introducing Hadamard Binary Neural Networks
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Yash Akhauri Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and
From playlist Wolfram Technology Conference 2018
Quantum computation (Lecture 02) by Peter Young
ORGANIZERS : Abhishek Dhar and Sanjib Sabhapandit DATE : 27 June 2018 to 13 July 2018 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the ninth in the series. This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics
From playlist Bangalore School on Statistical Physics - IX (2018)
Christian Bär: Local index theory for Lorentzian manifolds
HYBRID EVENT We prove a local version of the index theorem for Dirac-type operators on globally hyperbolic Lorentzian manifolds with Cauchy boundary. In case the Cauchy hypersurface is compact, we do not assume self-adjointness of the Dirac operator on the spacetime or of the associated el
From playlist Mathematical Physics
What's left to do at the Large Hadron Collider?
The second run, or second season, begins at CERN's Large Hadron Collider. Can it top season one's discovery of the Higgs Boson!? See our videos from inside the LHC: http://bit.ly/LHCvideos This video features Professor Ed Copeland. See Ed's trilogy of extended interviews: http://bit.ly/C
From playlist Large Hadron Collider - Sixty Symbols