Capacity-approaching codes | Coding theory | Error detection and correction | Capacity-achieving codes
In information theory, a polar code is a linear block error-correcting code. The code construction is based on a multiple recursive concatenation of a short kernel code which transforms the physical channel into virtual outer channels. When the number of recursions becomes large, the virtual channels tend to either have high reliability or low reliability (in other words, they polarize or become sparse), and the data bits are allocated to the most reliable channels. It is the first code with an explicit construction to provably achieve the channel capacity for symmetric binary-input, discrete, memoryless channels (B-DMC) with polynomial dependence on the gap to capacity. Notably, polar codes have modest encoding and decoding complexity O(n log n), which renders them attractive for many applications. Moreover, the encoding and decoding energy complexity of generalized polar codes can reach the fundamental lower bounds for energy consumption of two dimensional circuitry to within an O(nε polylog n) factor for any ε > 0. (Wikipedia).
Calculus 2: Polar Coordinates (1 of 38) What are Polar Coordinates?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are polar coordinates and Cartesian coordinates. The Cartesian coordinates use x and y to locate a point on a plane, and the polar coordinates use r and theta to locate a point on a plane
From playlist THE "WHAT IS" PLAYLIST
Polar Coordinates and Graphing Polar Equations
Everything we have done on the coordinate plane so far has been using rectangular coordinates. That's the x and y we are used to. But that's not the only coordinate system. We can also use polar coordinates, which graph points in terms of a radius, or distance from a pole, and theta, the a
From playlist Mathematics (All Of It)
3.4 Polar Coordinates - The Nature of Code
It’s finally time to dive into the trigonometric functions—sine, cosine, tangent—and take a close look at thinking in polar coordinates with p5.js! https://thecodingtrain.com/learning/nature-of-code/3.4-polar-coordinates.html p5.js Web Editor Sketches: 🕹️ Basic Polar Coordinates: https://
From playlist The Nature of Code 2
3.2: Trigonometry and Polar Coordinates - The Nature of Code
Chapter: 3 Official book website: http://natureofcode.com/ Twitter: https://twitter.com/shiffman added annotations This video describes the basics of trigonometry and how to use polar coordinates in Processing. Read along: http://natureofcode.com/book/chapter-3-oscillation/#chapter03_s
From playlist 3: Oscillation - The Nature of Code
Calculus 2: Polar Coordinates (29 of 38) Length Defined by Parametric Equations Part 2
Visit http://ilectureonline.com for more math and science lectures! In this video I will develop and explain the equation for a special case for finding the length of a function defined by parametric equations, where x=f(t)=t and y=y(t)=rsin(t). Next video in the series can be seen at: h
From playlist CALCULUS 2 CH 10 POLAR COORDINATES
Calculus 2 Lecture 10.4: Using Polar Coordinates and Polar Equations
Calculus 2 Lecture 10.4: Using Polar Coordinates and Polar Equations
From playlist Calculus 2 (Full Length Videos)
Writing Equivalent Polar Coordinates Quiz
Link: https://www.geogebra.org/m/MxAvq5Yt
From playlist Trigonometry: Dynamic Interactives!
Natalia Tronko: Exact conservation laws for gyrokinetic Vlasov-Poisson equations
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.
General strong polarization - Madhu Sudan
Computer Science/Discrete Mathematics Seminar I Topic: Locally symmetric spaces: pp-adic aspects Speaker: General strong polarization Affiliation: Harvard University Date: December 4, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
14J Polar Form of Complex Numbers and the nth Root
Another method of expressing complex numbers.
From playlist Linear Algebra
Shannon 100 - 28/10/2016 - Ruediger URBANK
Happy Numbers: 68 Years of Coding, 6² + 8² = 100 Years of Shannon, 1² + 0² + 0² = 1 Goal Ruediger Urbank (EPFL) This year, we celebrate Shannon’s 100th birthday and it has been 68 years since he laid the foundations of communications. To realize his number 1 goal or error free communica
From playlist Shannon 100
Marco Bernardi - Quantum mechanical calculations of electron interactions in condensed matter
Recorded 12 April 2022. Marco Bernardi of the California Institute of Technology presents "Precise quantum mechanical calculations of electron interactions and dynamics in condensed matter" at IPAM's Model Reduction in Quantum Mechanics Workshop. Learn more online at: http://www.ipam.ucla.
From playlist 2022 Model Reduction in Quantum Mechanics Workshop
Complex Numbers - Polar Form Part 2 | Don't Memorise
How do we understand the Polar representation of a Complex Number? Watch this video to know more Watch Complex Numbers - Polar Form Part 1 here - https://www.youtube.com/watch?v=6HIlT6oSvXc To access all videos related to Complex Numbers, enrol in our full course now: https://bit.ly/Com
From playlist Complex Numbers
Nexus Trimester - Joerg Kliewer (New Jersey Institute of Technology)
Lossy Compression with Privacy Constraints: Optimality of Polar Codes Joerg Kliewer (New Jersey Institute of Technology) April 01, 2016
From playlist Nexus Trimester - 2016 - Secrecy and Privacy Theme
Quantum Entanglement and the 2022 Nobel Prize in Physics.
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From playlist MathMajor Seminar
David Bowler - Large-scale and linear scaling DFT: why we need it, and how we do it - IPAM at UCLA
Recorded 29 March 2023. David Bowler of University College London presents "Large-scale and linear scaling DFT: why we need it, and how we do it" at IPAM's Increasing the Length, Time, and Accuracy of Materials Modeling Using Exascale Computing workshop. Abstract: We will survey the underl
From playlist 2023 Increasing the Length, Time, and Accuracy of Materials Modeling Using Exascale Computing
Inaugural Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk
Date: Wednesday, October 14, 10:00am EDT Speaker: Michael Friedlander, University of British Columbia Title: Polar deconvolution of mixed signals Abstract: The signal demixing problem seeks to separate the superposition of multiple signals into its constituent components. We model the s
From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series
F Aryasetiwan - First principles method for calculating the Hubbard U II
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
[Calculus] Polar Coordinates || Lecture 39
Visit my website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any que
From playlist Calculus 1