Harmonic analysis | Several complex variables | Fourier analysis
In mathematics, a tube domain is a generalization of the notion of a vertical strip (or half-plane) in the complex plane to several complex variables. A strip can be thought of as the collection of complex numbers whose real part lie in a given subset of the real line and whose imaginary part is unconstrained; likewise, a tube is the set of complex vectors whose real part is in some given collection of real vectors, and whose imaginary part is unconstrained. Tube domains are domains of the Laplace transform of a function of several real variables (see ). Hardy spaces on tubes can be defined in a manner in which a version of the Paley–Wiener theorem from one variable continues to hold, and characterizes the elements of Hardy spaces as the Laplace transforms of functions with appropriate integrability properties. Tubes over convex sets are domains of holomorphy. The Hardy spaces on tubes over convex cones have an especially rich structure, so that precise results are known concerning the boundary values of Hp functions. In mathematical physics, the is the tube domain associated to the interior of the past null cone in Minkowski space, and has applications in relativity theory and quantum gravity. Certain tubes over cones support a Bergman metric in terms of which they become bounded symmetric domains. One of these is the Siegel half-space which is fundamental in arithmetic. (Wikipedia).
Vacuum Tubes: Episode 1 - The Basics and the Diode
In this episode we finally dig into vacuum tubes. I cover what vacuum tubes are and the fundamentals behind their operation and then demonstrate two different diode type tubes.
From playlist Vacuum Tube Logic
Vacuum Tube Computer P.01 – Architecture and the MC14500B
In this episode, we take our first step towards building a vacuum tube computer! There’s a lot of different architectures out there, so we take a look at one that will hopefully work well for us. This is going to be a long road with lots of speedbumps and testing along the way. It should b
From playlist Vacuum Tube Computer
Geogebra - Restricting a Slider
In this video we restrict aspects of the GeoGebra applet to help students discover an answer on their own
From playlist Geogebra
The World's LONGEST Immersed Tube Tunnel
This project is immense. #shorts For more by The B1M subscribe now - https://bit.ly/the-b1m Listen to The World's Best Construction Podcast by The B1M Apple - https://apple.co/3OssZsH Spotify - https://spoti.fi/3om1NkB Amazon Music - https://amzn.to/3znmBP4 View this video and more at
From playlist Tunnels!
Vacuum Tube Computer P.09 – Building the 4-bit Instruction Register
Straight up, this is the coolest looking piece of electronics I’ve ever built! It looks awesome, it works great, I couldn’t be happier. So, come along as we go through the journey of building the first finalized part of our vacuum tube computer. Also, check out these episodes I reference:
From playlist Vacuum Tube Computer
Cylinder Inscribed in Right Circular Cone (Popular Calculus Optimization Problem)
GeoGebra Resource: https://www.geogebra.org/m/yWhtTcmK
From playlist GeoGebra 3D with AR (iOS): Explorations, Demos, and Lesson Ideas
Creating Surfaces with Domain Restrictions to Model within GeoGebra Augmented Reality
This screencast quickly illustrates how restricting the domain of a multivariable function within GeoGebra Augmented Reality can effectively help model a particular 3D surface. (The equations of the 2 surfaces used can be found at the bottom of the screen.) To restrict the domain of any
From playlist GeoGebra Augmented Reality (older iOS app)
Henri Epstein - Archeological Remarks on Analyticity Properties in Momentum Space in QFT
I will describe the foundations of the program of studying the analyticity properties of the n-point functions in momentum space : the primitive domain of analyticity and methods to enlarge it. If time permits, some of the results for the 4-point function will be described. Henri Epstein
From playlist Les séminaires de l'IHES
Chris SOGGE - Toponogov's theorem and improved Kakeya-Nikodym estimates...
Toponogov's theorem and improved Kakeya-Nikodym estimates for eigenfunctions on manifolds of nonpositive curvature This is joint work with Matthew Blair. Using wave equation techniques and elementary facts from Riemannian geometry, we show that, on negatively curved manifolds, eigenfuncti
From playlist Trimestre "Ondes Non linéaires" - June Conference
Larry Guth - Lipschitz constant and degree of mappings
We will survey the connection between the Lipschitz constant of a map $f$ (between Riemannian manifolds) and the topological type of the map. We will mostly focus on the degree of the map, because the story is already quite complex in that case. If $f\colon M^n \to M^n$ has Lipschitz cons
From playlist Not Only Scalar Curvature Seminar
Applied topology 23: Paper Introduction: Coordinate-free coverage in sensor networks
Applied topology 23: Paper Introduction: Coordinate-free coverage in sensor networks Abstract: We give an introduction to the paper "Coordinate-free coverage in sensor networks with controlled boundaries via homology" by Vin de Silva and Robert Ghrist, https://journals.sagepub.com/doi/abs
From playlist Tutorials
Higgs bundles and higher Teichmüller components (Lecture 2) by Oscar García-Prada
DISCUSSION MEETING : MODULI OF BUNDLES AND RELATED STRUCTURES ORGANIZERS : Rukmini Dey and Pranav Pandit DATE : 10 February 2020 to 14 February 2020 VENUE : Ramanujan Lecture Hall, ICTS, Bangalore Background: At its core, much of mathematics is concerned with the problem of classif
From playlist Moduli Of Bundles And Related Structures 2020
Amartya Banerjee - Electronic Structure Calculations of Chiral Matter - IPAM at UCLA
Recorded 03 May 2022. Amartya Banerjee of the University of California, Los Angeles, presents "Electronic Structure Calculations of Chiral Matter - From First Principles Methods to Machine Learning Techniques" at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop.
From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics
We Could Live in Caves on the Moon, Here’s Everything You Need to Know
The pits on the moon might lead to caves big enough to fit cities, but how were they formed? Could We Create A Livable Atmosphere On The Moon? - https://youtu.be/ksvlHp--TgA Get 20% off http://www.domain.com domain names and web hosting when you use coupon code SEEKER at checkout! Thum
From playlist Elements | Seeker
The Polynomial Method and the Restriction Problem - Larry Guth
Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 22, 2016 More videos on http://video.ias.edu
From playlist Analysis and Beyond
Real Analysis - Part 31 - Uniform Limits of Continuous Functions are Continuous
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From playlist Real Analysis
Bruno Goud - The RAB6 GTPase, a master regulator of post-Golgi trafficking pathways
The members of the RAB GTPase family (less than 60 proteins in man) are master regulators of intracellular transport and membrane trafficking in eukaryotic cells. RAB6 is one of the five ancestral RAB genes conserved from yeast to human. The RAB6 family comprises four proteins, named RAB6A
From playlist From Molecules and Cells to Human Health : Ideas and concepts
From playlist GeoGebra 3D