Paul Shafer:Reverse mathematics of Caristi's fixed point theorem and Ekeland's variational principle
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: Caristi's fixed point theorem is a fixed point theorem for functions that are controlled by continuous functions but are necessarily continuous themselves. Let a 'Caristi
From playlist Workshop: "Proofs and Computation"
Calculus 5.3 The Fundamental Theorem of Calculus
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Fubini's theorem states that, under certain assumptions, the double integral of f(x,y) dx dy is equal to the double integral of f(x,y) dy dx. In this video, I give an example where Fubini's theorem does NOT apply, by explicitly showing that for a specific function, the two integrals are un
From playlist Double and Triple Integrals
Apply the FTOC to evaluate the integral with functions as the bounds
đŸ‘‰ Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct
From playlist Evaluate Using The Second Fundamental Theorem of Calculus
Existence and Uniqueness of Solutions (Differential Equations 11)
https://www.patreon.com/ProfessorLeonard THIS VIDEO CAN SEEM VERY DECEIVING REGARDING CONTINUITY. As I watched this back, after I edited it of course, I noticed that I mentioned continuity is not possible at Endpoints. This is NOT true, as we can consider one-sided limits. What I MEANT
From playlist Differential Equations
Applied Calculus – Section (2.3) Continuity Define Continuity informally and formally. Identify points of discontinuity, express continuous parts of a function using interval notations. Draw possible
From playlist Applied Calculus
Reinventing Cavalry in WW1 - Bulgarian General Ivan Kolev I WHO DID WHAT IN WW1?
Cavalry was seen as leftover from the past in the dawn of modern warfare during World War 1. But Bulgarian General Ivan Kolev was one of the few who still saw a place for them on the modern battlefield. He reinvented the cavalry role and used them together with early motorised infantry - w
From playlist Who Did What In WW1?
Alex Ionescu - Global solutions of the gravity-capillary water wave system in 3 dimensions
Princeton University - January 27, 2016 This talk was part of "Analysis, PDE's, and Geometry: A conference in honor of Sergiu Klainerman."
From playlist Anlaysis, PDE's, and Geometry: A conference in honor of Sergiu Klainerman
Sergiu KLAINERMAN - The problem of stabiliy of Kerr under axilly symmetric perturbations
I will talk about a recent result, in collaboration with A. Ionescu, concerning partial nonlinear axisymmetric perturbations of Kerr and will also give a progress report on my recent work with J. Szeftel on axi-symmetric polarized perturbations
From playlist Trimestre "Ondes Non Linéaires" - May Conference
Alexandru IONESCU - On the long-term dynamics of solutions of water wave models
I will discuss some recent work on two main questions: (1) the existence of long-term solutions in certain water wave models, and (2) the dynamical formation of singularities. The talk will be based on recent work with several collaborators, F. Pusateri, B. Pausa
From playlist Trimestre "Ondes Non linéaires" - June Conference
Alexandru Ionescu: On the global stability of the wave map equation in Kerr spaces
On the global stability of the wave map equation in Kerr spaces Abstract: I will discuss some recent work (joint with S. Klainerman) on the global stability of a stationary axially-symmetric solution of the wave map equation in Kerr spaces of small angular momentum. The lecture was held
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
On the Rigidity of Black Holes - Sergiu Klainerman
Sergiu Klainerman Princeton University October 25, 2011 The classical result on the uniqueness of black holes in GR, due to Hawking, which asserts that regular, stationary solutions of the Einstein vacuum equations must be isometric to an admissible black hole Kerr solution, has at its cor
From playlist Mathematics
Fabio PUSATERI - Global regularity for water waves
We will begin by introducing the water waves equations which are a system of evolution equations modeling the motion of waves (like those in the surface of the ocean), and discuss some of the works done in recent years on the question of long-time regularity. We will then present a recent
From playlist Trimestre "Ondes Non linéaires" - June Conference
Prove the Derivative of a Constant: d/dx[c]
This video proves the derivative of a constant equals zero. http://mathispower4u.com
From playlist Calculus Proofs
Long time existence results for solutions of water waves equations – Jean-Marc Delort – ICM2018
Partial Differential Equations Invited Lecture 10.2 Long time existence results for solutions of water waves equations Jean-Marc Delort Abstract: We present in this talk various results, obtained during the last years by several authors, about the problem of long time existence of soluti
From playlist Partial Differential Equations
Second ftc example with cube root
đŸ‘‰ Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct
From playlist Evaluate Using The Second Fundamental Theorem of Calculus
Second FTC example with cube root
đŸ‘‰ Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct
From playlist Evaluate Using The Second Fundamental Theorem of Calculus
The nonlinear stability of the Schwarzschild metric without symmetry - Mihalis Dafermos
Analysis - Mathematical Physics Topic: The nonlinear stability of the Schwarzschild metric without symmetry Speaker: Mihalis Dafermos Affiliation: Princeton University Date: December 6, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Bertrand Eynard: Integrable systems and spectral curves
Usually one defines a Tau function Tau(t_1,t_2,...) as a function of a family of times having to obey some equations, like Miwa-Jimbo equations, or Hirota equations. Here we shall view times as local coordinates in the moduli-space of spectral curves, and define the Tau-function of a spect
From playlist Analysis and its Applications
GCSE Science Revision Chemistry "Using the Earth's Resources"
Find my revision workbooks here: https://www.freesciencelessons.co.uk/workbooks In this video, we look at how humans use the Earth's resources. We explore the idea of sustainability and look at how some resources are finite but others are renewable. Deliberate Thought by Kevin MacLeod is
From playlist 9-1 GCSE Chemistry Paper 2 Resources