Finite fields | Multivariate cryptography | Public-key encryption schemes
Hidden Fields Equations (HFE), also known as HFE trapdoor function, is a public key cryptosystem which was introduced at Eurocrypt in 1996 and proposed by (in French) Jacques Patarin following the idea of the Matsumoto and Imai system. It is based on polynomials over finite fields of different size to disguise the relationship between the private key and public key. HFE is in fact a family which consists of basic HFE and combinatorial versions of HFE. The HFE family of cryptosystems is based on the hardness of the problem of finding solutions to a system of multivariate quadratic equations (the so-called MQ problem) since it uses private affine transformations to hide the extension field and the private polynomials. Hidden Field Equations also have been used to construct digital signature schemes, e.g. Quartz and Sflash. (Wikipedia).
Field Theory - Algebraically Closed Fields - Lecture 9
In this video we define what an algebraically closed field and assert without proof that they exist. We also explain why if you can find a single root for any polynomial, then you can find them all.
From playlist Field Theory
11_7_1 Potential Function of a Vector Field Part 1
The gradient of a function is a vector. n-Dimensional space can be filled up with countless vectors as values as inserted into a gradient function. This is then referred to as a vector field. Some vector fields have potential functions. In this video we start to look at how to calculat
From playlist Advanced Calculus / Multivariable Calculus
(1.8) Introduction to Solving Exact Differential Equations
This video introduces and explains how to solve an exact differential equation. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
Physics - E&M: Maxwell's Equations (1 of 30) What are the Maxwell equations? Introduction
Visit http://ilectureonline.com for more math and science lectures! In this video I will introduction to Maxwell's equations.
From playlist PHYSICS - ELECTRICITY AND MAGNETISM 3
There are 8 Maxwell Equations, Not 4.
Get the exclusive NordVPN deal here at https://nordvpn.com/parthg. It's risk-free with NordVPN's 30-day money-back guarantee! In this video, we're looking at how there are two sides to every Maxwell, equation, and therefore there are two ways of understanding each of Maxwell's equations.
From playlist Maxwell's Equations EXPLAINED
C07 Homogeneous linear differential equations with constant coefficients
An explanation of the method that will be used to solve for higher-order, linear, homogeneous ODE's with constant coefficients. Using the auxiliary equation and its roots.
From playlist Differential Equations
What is the Schrödinger Equation? A basic introduction to Quantum Mechanics
This video provides a basic introduction to the Schrödinger equation by exploring how it can be used to perform simple quantum mechanical calculations. After explaining the basic structure of the equation, the infinite square well potential is used as a case study. The separation of variab
From playlist Quantum Physics
This video introduces slope fields and shows how to graph a slope field
From playlist Introduction to Differential Equations (Calculus I)
Ensembles and Structured Data in Physics and Inference (Lecture 3) by Marc Mézard
INFOSYS-ICTS TURING LECTURES ARTIFICIAL INTELLIGENCE: SUCCESS, LIMITS, MYTHS AND THREATS SPEAKER: Marc Mézard (Director of Ecole normale supérieure - PSL University ) DATE: 06 January 2020, 16:00 to 17:30 VENUE: Chandrasekhar Auditorium, ICTS-TIFR, Bengaluru Lecture 1 (Public Lecture)
From playlist Infosys-ICTS Turing Lectures
Statistical Physics and Statistical Inference by Marc Mezard
DISCUSSION MEETING : CELEBRATING THE SCIENCE OF GIORGIO PARISI (ONLINE) ORGANIZERS : Chandan Dasgupta (ICTS-TIFR, India), Abhishek Dhar (ICTS-TIFR, India), Smarajit Karmakar (TIFR-Hyderabad, India) and Samriddhi Sankar Ray (ICTS-TIFR, India) DATE : 15 December 2021 to 17 December 2021 VE
From playlist Celebrating the Science of Giorgio Parisi (ONLINE)
Determining if a equation is a polynomial or not
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Hidden Objects and Hidden Physics by Arun Thalapillil
LESS TRAVELLED PATH TO THE DARK UNIVERSE ORGANIZERS: Arka Banerjee (IISER Pune), Subinoy Das (IIA, Bangalore), Koushik Dutta (IISER, Kolkata), Raghavan Rangarajan (Ahmedabad University) and Vikram Rentala (IIT Bombay) DATE & TIME: 13 March 2023 to 24 March 2023 VENUE: Ramanujan Lecture
From playlist LESS TRAVELLED PATH TO THE DARK UNIVERSE
David Bohm's Pilot Wave Interpretation of Quantum Mechanics
To check out the physics courses that I mentioned (many of which are free!) and to support this channel, go to https://brilliant.org/Sabine/ and create your Brilliant account. The first 200 will get 20% off the annual premium subscription. In this video I explain how Bohmian mechanics, al
From playlist Physics
Hidden Spatiotemporal Symmetries and Intermittency by Alexei Mailybaev
Program Turbulence: Problems at the Interface of Mathematics and Physics (ONLINE) ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (Indian Institute of Science, Bengaluru) DATE: 07 December 202
From playlist Turbulence: Problems at The Interface of Mathematics and Physics (Online)
Direct Detection of Dark Energy by Surjeet Rajendran
PROGRAM LESS TRAVELLED PATH OF DARK MATTER: AXIONS AND PRIMORDIAL BLACK HOLES (ONLINE) ORGANIZERS: Subinoy Das (IIA, Bangalore), Koushik Dutta (IISER, Kolkata / SINP, Kolkata), Raghavan Rangarajan (Ahmedabad University) and Vikram Rentala (IIT Bombay) DATE: 09 November 2020 to 13 Novemb
From playlist Less Travelled Path of Dark Matter: Axions and Primordial Black Holes (Online)
Phase transitions in high-dimensional statistical inference (Lecture 3) by Remi Monasson
Program Entropy, Information and Order in Soft Matter  ORGANIZERS Bulbul Chakraborty, Pinaki Chaudhuri, Chandan Dasgupta, Marjolein Dijkstra, Smarajit Karmakar, Vijaykumar Krishnamurthy, Jorge Kurchan, Madan Rao, Srikanth Sastry and Francesco Sciortino DATE & TIME 27 August 2018 to
From playlist Entropy, Information and Order in Soft Matter
Photons and the loss of determinism
MIT 8.04 Quantum Physics I, Spring 2016 View the complete course: http://ocw.mit.edu/8-04S16 Instructor: Barton Zwiebach License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 8.04 Quantum Physics I, Spring 2016
Pilot Wave Theory and Quantum Realism | Space Time | PBS Digital Studios
There’s one interpretation of the meaning of quantum mechanics that manages to skip a lot of the unphysical weirdness of the mainstream interpretations: it's de Broglie-Bohm pilot wave theory. Help us continue making this show by contributing here: https://www.patreon.com/pbsspacetime G
From playlist Space Time!
Heat equation: Separation of variables
Download the free PDF http://tinyurl.com/EngMathYT How solve the heat equation via separation of variables. Such ideas are seen in university mathematics, physics and engineering courses.
From playlist Differential equations
Pieter Blue - Decay for fields outside black holes
I will discuss energy and Morawetz (or integrated local decay) estimates for fields outside black holes. These results build on results for the wave equation and use the Killing tensor, an unusual geometric object that exists in the Kerr spacetime.
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale