In mathematics, Fredholm solvability encompasses results and techniques for solving differential and integral equations via the Fredholm alternative and, more generally, the Fredholm-type properties of the operator involved. The concept is named after Erik Ivar Fredholm. Let A be a real n × n-matrix and a vector. The Fredholm alternative in states that the equation has a solution if and only if for every vector satisfying . This alternative has many applications, for example, in bifurcation theory. It can be generalized to abstract spaces. So, let and be Banach spaces and let be a continuous linear operator. Let , respectively , denote the topological dual of , respectively , and let denote the adjoint of (cf. also Duality; Adjoint operator). Define An equation is said to be (in the sense of F. Hausdorff) if it has a solution whenever . A classical result states that is normally solvable if and only if is closed in . In non-linear analysis, this latter result is used as definition of normal solvability for non-linear operators. (Wikipedia).
Irrigation Efficiencies - Part 1
From playlist TEMP 1
The Coolest Stuff on the Planet - The Cozy City of Copenhagen
Copenhagen is the capital of Denmark, which happens to be one of the happiest countries on the planet. It's not hard to see why -- from the famous flatbread to the ubiquitous bicycles, Denmark is uniquely cozy. Tune in to learn more.
From playlist The Coolest Stuff on the Planet
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From playlist Science Unplugged: General Relativity
Perturbation methods for nonlinear PDEs (Lecture - 01) by Vishal Vasan
ICTS Lecture by Vishal Vasan on 1, 3, 7, & 8th May, 2019 at 11:00 AM Title : Perturbation methods for nonlinear PDEs Speaker : Vishal Vasan, ICTS – TIFR, Bangalore Date : 01/05/2019 (Lecture 1) 03/05/2019 (Lectu
From playlist Seminar Series
Courses - T. Sasamoto “The one-dimensional KPZ equation...
T. Sasamoto “The one-dimensional KPZ equation: its height distribution and algebraic structures” In 1986, Kardar, Parisi and Zhang introduced a non-linear stochastic PDE to describe dynamics of interface motion. This KPZ equation has been studied intensively and extensively since then, bu
From playlist T1-2015 : Disordered systems, random spatial processes and some applications
Multimeter Review / DMM Review / buyers guide / tutorial
A list of my multimeters can be purchased here: http://astore.amazon.com/m0711-20?_encoding=UTF8&node=5 In this video I do a review of several digital multimeters. I compare features and functionality. I explain safety features, number of digits, display count, accuracy and resolution. Th
From playlist Multimeter reviews, buyers guide and comparisons.
Perturbation methods for nonlinear PDEs (Lecture - 02) by Vishal Vasan
ICTS Lecture by Vishal Vasan on 1, 3, 7, & 8th May, 2019 at 11:00 AM Title : Perturbation methods for nonlinear PDEs Speaker : Vishal Vasan, ICTS – TIFR, Bangalore Date : 01/05/2019 (Lecture 1) 03/05/2019 (Lectu
From playlist Seminar Series
Stephanos Venakides: Rigorous semiclassical asymptotics for integrable systems
The title of the lecture is shortened to comply with Youtubes' title policy. The original title of this lecture is "Rigorous semiclassical asymptotics for integrable systems:The KdV and focusing NLS cases". Programme for the Abel Lectures 2005: 1. "Abstract Phragmen-Lindelöf theorem & Sa
From playlist Abel Lectures
Transversality and super-rigidity in Gromov-Witten Theory (Lecture - 04) by Chris Wendl
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Sheagan John: Secondary higher invariants, and cyclic cohomology for groups of polynomial growth
Talk by Sheagan John in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on December 2, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
Guo Chuang Thiang: What is a Coarse Index, physically?
Talk in Global Noncommutative Geometry Seminar, May 4, 2022
From playlist Global Noncommutative Geometry Seminar (Europe)
Special Relativity F2 Relativistic Addition of Velocities
The relativistic addition of velocities.
From playlist Physics - Special Relativity
Arthur Krener: "Al'brekht’s Method in Infinite Dimensions"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games "Al'brekht’s Method in Infinite Dimensions" Arthur Krener, Naval Postgraduate School Abstract: Al'brekht's method is a way optimally stabilize a finite dimens
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Rotating trapped fermions in 2d and the complex Ginibre ensemble by Satya Majumdar
PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the
From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019
Can you give a feel for how the math of General Relativity allows for anti-gravity?
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From playlist Science Unplugged: General Relativity
A Fredholm Experience - Fredholm Integral Equation of the Second Kind
GET 15% OFF EVERYTHING! THIS IS EPIC! https://teespring.com/stores/papaflammy?pr=PAPAFLAMMY Help me create more free content! =) https://www.patreon.com/mathable AC Playlist: https://www.youtube.com/watch?v=jmD1CWzHjzU&list=PLN2B6ZNu6xmdvtm_DdFUaHIK_VB84hG_m :00000000 Another daddy Fred
From playlist Integrals