Asymmetric-key algorithms | Finite fields | Group theory | Elliptic curves | Elliptic curve cryptography | Number theory
Schoof's algorithm is an efficient algorithm to count points on elliptic curves over finite fields. The algorithm has applications in elliptic curve cryptography where it is important to know the number of points to judge the difficulty of solving the discrete logarithm problem in the group of points on an elliptic curve. The algorithm was published by René Schoof in 1985 and it was a theoretical breakthrough, as it was the first deterministic polynomial time algorithm for counting points on elliptic curves. Before Schoof's algorithm, approaches to counting points on elliptic curves such as the naive and baby-step giant-step algorithms were, for the most part, tedious and had an exponential running time. This article explains Schoof's approach, laying emphasis on the mathematical ideas underlying the structure of the algorithm. (Wikipedia).
Dealing with Schrodinger's Equation - The Hamiltonian
https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. Schrodinger's
From playlist Quantum Mechanics
Andrew Sutherland, Arithmetic L-functions and their Sato-Tate distributions
VaNTAGe seminar on April 28, 2020. License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
Chandrashekhar Khare, Serre's conjecture and computational aspects of the Langlands program
VaNTAGe Seminar, April 5, 2022 License: CC-BY-NC-SA Some relevant links: Edixhoven-Couveignes-de Jong-Merkl-Bosman: https://arxiv.org/abs/math/0605244 Ramanujan's 1916 paper: http://ramanujan.sirinudi.org/Volumes/published/ram18.pdf Delta's home page in the LMFDB: https://www.lmfdb.org/
From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (16 of 92) How to Use Schrod. Eqn: 1
Visit http://ilectureonline.com for more math and science lectures! In this video I will show how to use the Schrodinger's equation, part 1/2. Next video in this series can be seen at: https://youtu.be/2kyX3ON7ow0
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
Unpacking the Schrödinger Equation
We've talked about the Schrödinger equation before, but we really didn't dig into it with any depth at all. Now it's time to really get in there and do the math. What is the Hamiltonian operator? What is the time-independent Schrödinger equation? What we can we do with this equation? Let's
From playlist Modern Physics
René Schoof: Finite flat group schemes over Z
CONFERENCE Recording during the thematic meeting : « Symposium on Arithmetic Geometry and its Applications» the February 07, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide m
From playlist Number Theory
Andrew Sutherland: Computing Sato-Tate statistics
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 Jean-Morlet Chair - Shparlinski/Kohel
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (17 of 92) How to Use Schrod. Eqn: 2
Visit http://ilectureonline.com for more math and science lectures! In this video I will show how to use the Schrodinger's equation, part 2/2. Next video in this series can be seen at: https://youtu.be/kO9JZgVXqyU
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (13 of 92) Time & Position Dependencies 2/3
Visit http://ilectureonline.com for more math and science lectures! In this video I will find C=?, of the position part of the Schrodinger's equation by using the time dependent part of Schrodinger's equation, part 2/3. Next video in this series can be seen at: https://youtu.be/1mxipWt-W
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
Yale AIDS Colloquium Series (YACS) -- Mark Schoofs
Presented by the Center for Interdisciplinary Research on AIDS at Yale University, the Yale AIDS Colloquium Series (YACS) is an interdisciplinary academic forum for discussion of HIV/AIDS-related research and policy.
From playlist Center for Interdisciplinary Research on AIDS
Irreducibility and the Schoenemann-Eisenstein criterion | Famous Math Probs 20b | N J Wildberger
In the context of defining and computing the cyclotomic polynumbers (or polynomials), we consider irreducibility. Gauss's lemma connects irreducibility over the integers to irreducibility over the rational numbers. Then we describe T. Schoenemann's irreducibility criterion, which uses some
From playlist Famous Math Problems
Quantum Mechanics and the Schrödinger Equation
Okay, it's time to dig into quantum mechanics! Don't worry, we won't get into the math just yet, for now we just want to understand what the math represents, and come away with a new and improved view of the electron as both a circular standing wave and a cloud of probability density. Spoo
From playlist Modern Physics
PauliNet - Deep neural network solution of the electronic Schrödinger equation
Paper: https://arxiv.org/abs/1909.08423 Code: https://github.com/deepqmc/deepqmc
From playlist Research
How does Schnorr Signature Work?
Describe the theoretical aspect of Schnorr digital signature.
From playlist crypto
What Is An Algorithm? | What Exactly Is Algorithm? | Algorithm Basics Explained | Simplilearn
This video explains what is an algorithm in the data structure. This Simplilearn's What Is An Algorithm? tutorial will help beginners to understand what exactly is an algorithm with an example. All of the algorithm basics are explained in this video. Following topics covered in this vi
From playlist Data Structures & Algorithms [2022 Updated]
Sorting Algorithms Full Course | Sorting Algorithms In Data Structures Explained | Simplilearn
This Simplilearn video is based on The Sorting Algorithms Full Course. This tutorial mainly focuses on all the major Sorting Algorithms In Data Structures Explained with detailed theory and practical examples for providing a better learning experience. This video covers the following Sort
From playlist Simplilearn Live
Lecture 1 - Introduction to Algorithms
This is Lecture 1 of the CSE373 (Analysis of Algorithms) course taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 2007. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/2007/lecture1.pdf More informati
From playlist CSE373 - Analysis of Algorithms - 2007 SBU
Separation of variables and the Schrodinger equation
A brief explanation of separation of variables, application to the time-dependent Schrodinger equation, and the solution to the time part. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at http://www.youtube.com/
From playlist Mathematical Physics II - Youtube
Lecture 1 - Introduction to Algorithms
This is Lecture 1 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture1.pdf
From playlist CSE373 - Analysis of Algorithms - 1997 SBU