Theorems in algebraic number theory
In number theory, Ostrowski's theorem, due to Alexander Ostrowski (1916), states that every non-trivial absolute value on the rational numbers is equivalent to either the usual real absolute value or a p-adic absolute value. (Wikipedia).
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (45 of 92) Quantum Nature of Oscillator 1
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the quantum mature of the oscillator. I will explain the step-function that represent the energy differences between different energy states. The change of the energy can only happen 1 step an
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (49 of 92) How Oscillators Increase Energy
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how the quantum mechanic oscillator hold on to and increase its energy. Just like a classical oscillator that oscillates back and forth between a minimum (x=-A) and maximum (x=A) amplitude, an
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
Origin and Development of Valuation Theory by Sudesh Khanduja
DATES: Monday 29 Aug, 2016 - Tuesday 30 Aug, 2016 VENUE: Madhava Lecture Hall, ICTS Bangalore Emmy Noether (1882-1935) is well known for her famous contributions to abstract algebra and theoretical physics. Noether’s mathematical work has been divided into three ”epochs”. In the first (
From playlist The Legacy of Emmy Noether
Complex Stochastic Models and their Applications by Subhroshekhar Ghosh
PROGRAM: TOPICS IN HIGH DIMENSIONAL PROBABILITY ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India) DATE & TIME: 02 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall This program will focus on several interconnected themes in modern probab
From playlist TOPICS IN HIGH DIMENSIONAL PROBABILITY
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (54 of 92) The wave Function
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how the quantum mechanic oscillator where the potential energy is greater than the total energy of the oscillator itself is possible. By examining the simplified form of the Schrodinger equati
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
The Schrodinger Equation is (Almost) Impossible to Solve.
Sure, the equation is easily solvable for perfect / idealized systems, but almost impossible for any real systems. The Schrodinger equation is the governing equation of quantum mechanics, and determines the relationship between a system, its surroundings, and a system's wave function. Th
From playlist Quantum Physics by Parth G
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (52 of 92) A Closer Look at the Equation
Visit http://ilectureonline.com for more math and science lectures! In this video I will show that sometimes very “different looking” equations (Schrodinger) in quantum mechanics are actually the same equations. Next video in this series can be seen at: https://youtu.be/0vfarodPOKI
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
Adventures in Automata with a Theorem-Prover
Public Lecture by Jeffrey Shallit (University of Waterloo) Here is the weblink for the publicly-available prover https://cs.uwaterloo.ca/~shallit/walnut.html
From playlist Public Lectures
B04 Example problem of simple harmonic oscillation
Solving an example problem of simple harmonic oscillation, which requires calculating the solution to a second order ordinary differential equation.
From playlist Physics ONE
Convolution Theorem: Fourier Transforms
Free ebook https://bookboon.com/en/partial-differential-equations-ebook Statement and proof of the convolution theorem for Fourier transforms. Such ideas are very important in the solution of partial differential equations.
From playlist Partial differential equations
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (46 of 92) Quantum Nature of Oscillator 2
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the quantum mature of the oscillator. Remember a small enough particle will have and behave in wave-like properties, and as particles get larger that no longer have wave-like properties. Quant
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
Techniques of constructions of variations of mixed Hodge structures by Hisashi Kasuya
DISCUSSION MEETING ANALYTIC AND ALGEBRAIC GEOMETRY DATE:19 March 2018 to 24 March 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore. Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions be
From playlist Analytic and Algebraic Geometry-2018
Hitler über Berlin - Besatzung, Blockade, Teilung 1946-1949 (4/5)
Alle Folgen der "Hitler über Berlin"-Reihe findest du hier: https://bit.ly/Hitler_ueber_Berlin Die Interessengegensätze der Siegermächte zur Nachkriegsordnung führen zum Scheitern der gemeinsamen Verwaltung der Stadt. Berlin entwickelt sich zum Brennpunkt des „Kalten Krieges“: Am 20. Okt
From playlist Hitler über Berlin - 5-teilige Dokumentationsreihe
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (48 of 92) How Oscillator Increases energy
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how the quantum mechanic oscillator hold on to and increase its energy. Just like a classical oscillator that oscillates back and forth between a minimum (x=-A) and maximum (x=A) amplitude, an
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
Elliptic Curves - Lecture 21 - The weak Mordell-Weil theorem (the Kummer pairing)
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Yitang Zhang - Primes in arithmetic progressions to large moduli [ICM 2014]
Yitang Zhang's invited talk at ICM 2014 (Korea) titled "Small gaps between primes and primes in arithmetic progressions to large moduli" took place on 21 Aug 2014 (Thu) 14:00-15:00. http://www.icm2014.org/vod/ICM-VOD-List.html
From playlist Number Theory
Ming Ng - Adelic Geometry via Topos Theory
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/NgSlidesToposesOnline.pdf Joint work with Steve Vickers In this talk, I will give a leisurely introduction to the t
From playlist Toposes online
Hungerwinter in Berlin 1946-47 (Vorschau aus "Hitler über Berlin, Teil 4)
Am Ende des zweiten Weltkriegs ist Deutschland besetzt und die Städte zerstört. Zu allem Unglück bricht 1946 der kälteste Winter des Jahrhunderts ein. Die Bewohner der zerbombten Städte kämpfen mit dem Hunger. In Großstädten wie Berlin, Hamburg oder Köln trifft die Kälte eine bereits stark
From playlist Kriegsende
Alan Haynes: Bounded remainder sets for rotations on p-adic solenoids
Abstract: Bounded remainder sets for a dynamical system are sets for which the Birkhoff averages of return times differ from the expected values by at most a constant amount. These sets are rare and important objects which have been studied for over 100 years. In the last few years there h
From playlist Jean-Morlet Chair - Akiyama/Arnoux
Differential Equations: Force Damped Oscillations
How to solve an application of non-homogeneous systems, forced damped oscillations. Special resonance review at the end.
From playlist Basics: Differential Equations