Integral calculus | Supersymmetry | Differential forms | Multilinear algebra
In mathematical physics, the Berezin integral, named after Felix Berezin, (also known as Grassmann integral, after Hermann Grassmann), is a way to define integration for functions of Grassmann variables (elements of the exterior algebra). It is not an integral in the Lebesgue sense; the word "integral" is used because the Berezin integral has properties analogous to the Lebesgue integral and because it extends the path integral in physics, where it is used as a sum over histories for fermions. (Wikipedia).
Symplectic Geometry and Quantum Noise - Leonid Polterovich
Leonid Polterovich Tel Aviv University and SCGP October 5, 2012 We discuss a quantum counterpart, in the sense of the Berezin-Toeplitz quantization, of certain constraints on Poisson brackets coming from "hard" symplectic geometry. It turns out that they can be interpreted in terms of the
From playlist Mathematics
How to Integrate over Grassmann Numbers in Quantum Field Theory? (Berezin Integral)
In this video, we will show you how to do integrals with Grassmann numbers. Grassmann numbers are an important concept in quantum field theory, where we use them to describe fermions. They are named after the German mathematician Hermann Grassmann. The special thing about Grassmann numbers
From playlist Mathematical Physics
Integrate cosine using u substitution
π Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral
Samson Shatashvili - 2/3 Supersymmetric Vacua and Integrability
"I review the relationship between supersymmetric gauge theories and quantum integrable systems. From the quantum integrability side this relation includes various spin chains, as well as many well-known quantum many body systems like elliptic Calogero-Moser system and generalisations. Fro
From playlist Samson Shatashvili - Supersymmetric Vacua and Integrability
What is an integral and it's parts
π Learn about integration. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which the upper and the lower li
From playlist The Integral
In this video, I present an overview (without proofs) of the Lebesgue integral, which is a more general way of integrating a function. If you'd like to see proods of the statements, I recommend you look at fematika's channel, where he gives a more detailed look of the Lebesgue integral. In
From playlist Real Analysis
Peter Sarnak - Randomness in Number Theory [Mahler Lectures 2011]
slides for this talk: https://drive.google.com/file/d/1c4i7necOUiWetm6-zWvxAjAW1syMFsdF/view?usp=sharing Randomness in Number Theory Peter Sarnak February 2, 2011 https://video.ias.edu/conversations/sarnak
From playlist Number Theory
Bruno Iochum: Spectral triples and Toeplitz operators
I will give examples of spectral triples constructed using the algebra of Toeplitz operators on smoothly bounded strictly pseudoconvex domains in Cn, or the star product for the Berezin-Toeplitz quantization. The main tool is the theory of generalized Toeplitz operators on the boundary of
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Cosmological Perturbation Theory / CMB (Lecture 4) by D. Pogosyan
Program Cosmology - The Next Decade ORGANIZERS : Rishi Khatri, Subha Majumdar and Aseem Paranjape DATE : 03 January 2019 to 25 January 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore The great observational progress in cosmology has revealed some very intriguing puzzles, the most i
From playlist Cosmology - The Next Decade
Geometry of Quantum Uncertainty - Leonid Polterovich
Symplectic Seminar Topic: Geometry of Quantum Uncertainty Speaker: Leonid Polterovich Affiliation: Tel Aviv University Date: April 10, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Old component bonanza Mailbag! Forum: http://www.eevblog.com/forum/blog/eevblog-936-mailbag/ SPOILERS: TI-74 BASIC pocket computer teardown from 1985 OpenMYR WiFi Motor Kickstarter https://www.kickstarter.com/projects/77886650/wifi-motors?token=9aa90ab1 Several 4-banger calculators GEZE
From playlist Mailbag
Approximate representations of symplectomorphisms via quantization - Leonid Polterovich
Stability and Testability Topic: Approximate representations of symplectomorphisms via quantization Speaker: Leonid Polterovich Affiliation: Tel Aviv University Date: March 17, 2021 For more video please visit http://video.ias.edu
From playlist Stability and Testability
What is the antiderivative of cosx
π Learn how to find the antiderivative (integral) of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integr
From playlist The Integral
Apply u substitution to a polynomial
π Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral
Expanding a binomial to find the antiderivative
π Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral
AN ALGEBRAIC EXTRAVAGANZA! The integral 1/(x^3+1)
Merch :v - https://teespring.com/de/stores/papaflammy Help me create more free content! =) https://www.patreon.com/mathable Factoring denominator: https://youtu.be/0EincCQrG40 Completing the square: https://youtu.be/a_4rPMxZO_8 Natural logarithm integral: https://youtu.be/gGbL1dW4rSQ Inv
From playlist Integrals
How to integrate exponential expression with u substitution
π Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral
How to evaluate the integral given different integrands
π Learn how to evaluate the integral of separated functions. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral i
From playlist The Integral
Evaluate the integral with trig u substitution
Keywords π Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite integral. A definite integral is an integral in
From playlist Evaluate Integrals
David Kyed: The PodleΕ spheres converge to the sphere
Talk by David Kyed in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on June 16, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)