Supersymmetric quantum field theory
In theoretical physics, one often analyzes theories with supersymmetry in which F-terms play an important role. In four dimensions, the minimal N=1 supersymmetry may be written using a superspace. This superspace involves four extra fermionic coordinates , transforming as a two-component spinor and its conjugate. Every superfield—i.e. a field that depends on all coordinates of the superspace—may be expanded with respect to the new fermionic coordinates. There exists a special kind of superfields, the so-called chiral superfields, that only depend on the variables but not their conjugates. The last term in the corresponding expansion, namely , is called the F-term. Applying an infinitesimal supersymmetry transformation to a chiral superfield results in yet another chiral superfield whose F-term, in particular, changes by a total derivative. This is significant because then is invariant under SUSY transformations as long as boundary terms vanish. Thus F-terms may be used in constructing supersymmetric actions. Manifestly-supersymmetric Lagrangians may also be written as integrals over the whole superspace. Some special terms, such as the superpotential, may be written as integrals over s only. They are also referred to as F-terms, much like the terms in the ordinary potential that arise from these terms of the supersymmetric Lagrangian. (Wikipedia).
All F chords are made from different permutations and combinations of the F,C and A notes
From playlist Music Lessons
Definition of derivative in terms of a limit, (def 1)
Definition of derivative, calculus 1 homework solution. #calculus Check out my 100 derivatives: https://youtu.be/AegzQ_dip8k
From playlist Sect 2.7, Definition of Derivative
What is the official definition of limit? - Week 2 - Lecture 12 - Mooculus
Subscribe at http://www.youtube.com/kisonecat
From playlist Ohio State: Jim Fowler's Calculus One Lectures | CosmoLearning Mathematics
Odd & Even Functions (1 of 2: Understanding initial examples)
More resources available at www.misterwootube.com
From playlist Working with Functions
Lecture 23: Functions (adjectives: onto, one-to-one, bijective), (subsets: images, preimages)
course page: https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html handouts - DZB, Emory videography - Eric Melton, UVM
From playlist Fundamentals of Mathematics
Ex 1: Antiderivative Concept - Given Information about f(x), Describe F(x)
This video explains how to describe the antiderivative function given information about f(x). Site: http://mathispower4u.com
From playlist The Antiderivative
Math 030 Calculus I 030415: Rigorous Definition of Derivative
Formal definition of differentiability at a point; definition of the derivative of a function; interpretation of differentiability at a point ("being line-like as one zooms in"); various notations for the derivative; differentiability implies continuity; examples of calculating the derivat
From playlist Course 2: Calculus I
Calculus: For a function f(x), we define the derivative f'(x) as the slope of the tangent line at x. Examples are given, and we show that differentiability implies continuity.
From playlist Calculus Pt 1: Limits and Derivatives
Finding the Derivative of f(x) = (1/4)x^4 + (1/3)x^3 + (1/2)x^2 + 1
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Finding the Derivative of f(x) = (1/4)x^4 + (1/3)x^3 + (1/2)x^2 + 1 using the power rule.
From playlist Calculus
Using partial fractions to evaluate two Fibonacci reciprocal sums.
Being inspired by integration, we use partial fraction decomposition to determine a nice closed form for two infinite series involving reciprocals of the Fibonacci numbers. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-
From playlist Identities involving Fibonacci numbers
MAG - Lecture 7 - The Buchberger Criterion
metauni Algebraic Geometry (MAG) is a first course in algebraic geometry, in Roblox. In Lecture 7 we prove the Buchberger criterion, which allows us to recognise Grobner bases for ideals by looking at S-polynomials. The webpage for MAG is https://metauni.org/mag/. This video was recorded
From playlist MAG
Multivariable Chain Rule Proof
In this video, I provide a really intuitive proof of the chain rule in several variables, and show how the derivative of fg is just the matrix multiplication of the derivative of f times the derivative of g. Enjoy linear algebra and multivariable calculus in its pure awesomeness!
From playlist Multivariable Calculus
Mod-01 Lec-32 Population Balance Modelling – II
Advanced Chemical Reaction Engineering (PG) by Prof. H.S.Shankar,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Chemical Reaction Engineering | CosmoLearning.org
Quadratic Approximation of a Product | MIT 18.01SC Single Variable Calculus, Fall 2010
Quadratic Approximation of a Product Instructor: Christine Breiner View the complete course: http://ocw.mit.edu/18-01SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.01SC: Homework Help for Single Variable Calculus
How is a sequence presented? - Week 1 - Lecture 2 - Sequences and Series
Subscribe at http://www.youtube.com/kisonecat
From playlist Ohio State: Calculus Two with Jim Fowler: Sequences and Series | CosmoLearning Mathematics
Mod-01 Lec-16 Numerical Differentiation
Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics
The Basel Problem Part 1: Euler-Maclaurin Approximation
This is the first video in a two part series explaining how Euler discovered that the sum of the reciprocals of the square numbers is π^2/6, leading him to define the zeta function, and how Riemann discovered the surprising connection between the zeroes of the zeta function and the distrib
From playlist Analytic Number Theory
Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics
What does lim f(x) = infinity mean? - Week 2 - Lecture 6 - Mooculus
Subscribe at http://www.youtube.com/kisonecat
From playlist Ohio State: Jim Fowler's Calculus One Lectures | CosmoLearning Mathematics
A nice Fibonacci reciprocal sum!
We calculate a nice sum involving reciprocals of 1+f_{2n+1}, where f_m is the mth Fibonacci number. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Identities involving Fibonacci numbers