Approximation algorithms | Unsolved problems in graph theory | Metric geometry | Graph minor theory | Conjectures

GNRS conjecture

In theoretical computer science and metric geometry, the GNRS conjecture connects the theory of graph minors, the stretch factor of embeddings, and the approximation ratio of multi-commodity flow problems. It is named after Anupam Gupta, Ilan Newman, Yuri Rabinovich, and Alistair Sinclair, who formulated it in 2004. (Wikipedia).

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What is the Riemann Hypothesis?

This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation

From playlist Mathematics

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(ML 19.2) Existence of Gaussian processes

Statement of the theorem on existence of Gaussian processes, and an explanation of what it is saying.

From playlist Machine Learning

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Mertens Conjecture Disproof and the Riemann Hypothesis | MegaFavNumbers

#MegaFavNumbers The Mertens conjecture is a conjecture is a conjecture about the distribution of the prime numbers. It can be seen as a stronger version of the Riemann hypothesis. It says that the Mertens function is bounded by sqrt(n). The Riemann hypothesis on the other hand only require

From playlist MegaFavNumbers

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GRCon19 -Striving for SDR Performance Portability in the Era of Heterogeneous SoCs by Jeffrey Vetter

Striving for SDR Performance Portability in the Era of Heterogeneous SoCs by Jeffrey Vetter, Mehmet Belviranli, Seyong Lee, Roberto Gioiosa, Abdel-Kareem Moadi Future heterogeneous DSSoCs will be extraordinarily complex in terms of processors, memory hierarchies, and interconnection netwo

From playlist GRCon 2019

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Quaternions EXPLAINED Briefly

This is a video I have been wanting to make for some time, in which I discuss what the quaternions are, as mathematical objects, and how we do calculations with them. In particular, we will see how the fundamental equation of the quaternions i^2=j^2=k^2=ijk=-1 easily generates the rule for

From playlist Quaternions

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5G Explained: About the Series

This is the introduction to the series "5G Explained." It outlines the series and goes over the main goals and basic configuration of 5G New Radio. View the full playlist here: https://www.youtube.com/playlist?list=PLn8PRpmsu08rCL-Ejn25HMX6M6o7QjJoe ----------------------------------------

From playlist 5G Explained

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What is a Subgraph? | Graph Theory

What is a subgraph? We go over it in today's math lesson! If you're familiar with subsets, then subgraphs are probably exactly what you think they are. Recall that a graph G = (V(G), E(G)) is an ordered pair with a vertex set V(G) and an edge set E(G). Then, another graph H = (V(H), E(H))

From playlist Graph Theory

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5G Explained: Introduction to 5G NR PHY

View the full playlist here: https://www.youtube.com/playlist?list=PLn8PRpmsu08rCL-Ejn25HMX6M6o7QjJoe Learn about use cases for 5G New Radio (NR), requirements associated with those use cases, some of the main differences between 5G NR and LTE, and deployment scenarios that have been envis

From playlist 5G Explained

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(PP 6.1) Multivariate Gaussian - definition

Introduction to the multivariate Gaussian (or multivariate Normal) distribution.

From playlist Probability Theory

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Prineha Narang - Shining New Light on Quantum Matter - IPAM at UCLA

Recorded 30 March 2022. Prineha Narang of the Narang Lab presents "Shining New Light on Quantum Matter" at IPAM's Multiscale Approaches in Quantum Mechanics workshop. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/workshop-i-multiscale-approaches-in-quantum-mechanics/?ta

From playlist 2022 Multiscale Approaches in Quantum Mechanics Workshop

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Minerva Lectures 2012 - Ian Agol Talk 2: The virtual Haken conjecture & geometric group theory

Talk two of the second Minerva lecture series, by Prof. Ian Agol on October 23rd, 2012 at the Mathematics Department, Princeton University. More information available at: http://www.math.princeton.edu/events/seminars/minerva-lectures/minerva-lecture-ii-virtual-haken-conjecture-what-geomet

From playlist Minerva Lectures - Ian Agol

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Olivier Guichard - Positivity in flag manifolds and positive representations

This talk is based on joint works with Anna Wienhard and François Labourie. In a number of situations, an action on a flag manifold is well controlled via a structure mimicking the orientability of the circle. After reviewing the classical examples of such structures, we will propose an ax

From playlist Geometry in non-positive curvature and Kähler groups

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Galois theory: Discriminants

This lecture is part of an online graduate course on Galois theory. We define the discriminant of a finite field extension, ans show that it is essentially the same as the discriminant of a minimal polynomial of a generator. We then give some applications to algebraic number fields. Corr

From playlist Galois theory

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HOT ROD TRIBUTE | GEORGE BARRIS | BARRIS KUSTOMS

NOW LIVE on Petersen’s YouTube Channel – Barris Shop Tour, where you meet the Barris Family and get a glimpse into the Barris Shop, Legacy, George’s Life, and how Petersen's Publication of Hot Rod Magazine played a huge role into making the Kustom Culture we all love truly one-of-a-kind.

From playlist Petersen Car Week | The World's Largest Automotive Event is Now Online!

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Finding the solutions to a trigonometric equation

👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together and then factor out the GCF. This enables us to use

From playlist Solve Trigonometric Equations

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Guns N' Roses - Sweet Child O' Mine (Official Music Video)

Official Music Video for "Sweet Child O' Mine" by Guns N' Roses as featured in Thor: Love and Thunder. REMASTERED IN HD! OVER A BILLION VIEWS! #AppetiteForDestruction: The Debut Album, Remastered and Expanded. Available now as Box Set, Super Deluxe, Double LP, and Double CD here: https:/

From playlist If only Jerm had played the forum

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On the Ising perceptron model - Nike Sun

Marston Morse Lectures Topic: On the Ising perceptron model Speaker: Nike Sun Affiliation: Massachusetts Institute of Technology Date: April 23, 2021  For more video please visit http://video.ias.edu

From playlist Mathematics

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Drone Race and Exhibition

A local get together of drone enthusiasts for a race and exhibition of multi-rotors. Special mention: www.purplefinchphotodrone.com www.meetup.com/Littleton-Tech-Meetup/ Music: bensound.com

From playlist Drones

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Geometric Algebra - Rotors and Quaternions

In this video, we will take note of the even subalgebra of G(3), see that it is isomorphic to the quaternions and, in particular, the set of rotors, themselves in the even subalgebra, correspond to the set of unit quaternions. This brings the entire subject of quaternions under the heading

From playlist Math

Related pages

Metric space | Vector space | Planar graph | Theoretical computer science | Tight span | Stretch factor | Series–parallel graph | Max-flow min-cut theorem | Graph minor | Circuit rank | Expander graph | Embedding | Isometry | Pathwidth | Johnson–Lindenstrauss lemma | Multi-commodity flow problem | Lp space | K-outerplanar graph | Partial cube | Shortest path problem | Clique-sum