In mathematics, Out(Fn) is the outer automorphism group of a free group on n generators. These groups play an important role in geometric group theory. (Wikipedia).
Proof that if g o f is Injective(one-to-one) then f is Injective(one-to-one)
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof that if g o f is Injective(one-to-one) then f is Injective(one-to-one). Given two functions f : A to B and g: B to C, we prove that if the composition g o f: A to C is an injective function then f is also an injective function
From playlist Proofs
Derivative of f(x) = sqrt(ln(x))
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Derivative of f(x) = sqrt(ln(x))
From playlist Calculus 1
Concavity and Inflection Points for f(x) = ln(1 + x^2)
In this video I find the intervals on which the function f(x) = ln(1 + x^2) is concave up and concave down. I also find the inflection points. If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com Free Homewor
From playlist Concavity and Inflection Points
What is an Injective Function? Definition and Explanation
An explanation to help understand what it means for a function to be injective, also known as one-to-one. The definition of an injection leads us to some important properties of injective functions! Subscribe to see more new math videos! Music: OcularNebula - The Lopez
From playlist Functions
Ex 9: The derivative of f(x) = ln(ln(5x))
This video shows how to determine the derivative of f(x) = ln(ln(5x)) Search Entire Video Library at www.mathispower4u.wordpress.com
From playlist Differentiation of Logarithmic Functions
Finding the Derivative of f(x) = ln(ln(lnx)) using the Chain Rule
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Finding the Derivative of f(x) = ln(ln(lnx)) using the Chain Rule
From playlist Calculus
Definition of an Injective Function and Sample Proof
We define what it means for a function to be injective and do a simple proof where we show a specific function is injective. Injective functions are also called one-to-one functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my affil
From playlist Injective, Surjective, and Bijective Functions
All F chords are made from different permutations and combinations of the F,C and A notes
From playlist Music Lessons
Inverse Trigonometric Derivatives f(x) = ln(2 + arcsin(x))
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From playlist Calculus
Crust of Rust: Functions, Closures, and Their Traits
In this episode, we go over the differences between function items, function pointers, and closures, as well as how they interact with the Fn* traits. We also touch upon dynamically dispatched Fns and experimental const Fn bounds. I've spliced out some audio issues that occurred on the li
From playlist Crust of Rust
Catalan's Identity for Fibonacci Numbers
We prove Catalan's identity involving Fibonacci numbers using an interesting property of matrices known as the determinant sum property. This is similar to two other identities which we proved in the following videos: Cassini's Identity: https://youtu.be/pn0J0p0R_GM d'Ocagne's Identity: h
From playlist Identities involving Fibonacci numbers
Lecture 24: Uniform Convergence, the Weierstrass M-Test, and Interchanging Limits
MIT 18.100A Real Analysis, Fall 2020 Instructor: Dr. Casey Rodriguez View the complete course: http://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61O7HkcF7UImpM0cR_L2gSw We prove the powerful Weierstrass M-test, a
From playlist MIT 18.100A Real Analysis, Fall 2020
Zachary Himes - On not the rational dualizing module for $\text{Aut}(F_n)$
Bestvina--Feighn proved that $\text{Aut}(F_n)$ is a rational duality group, i.e. there is a $\mathbb{Q}[\text{Aut}(F_n)]$-module, called the rational dualizing module, and a form of Poincar\'e duality relating the rational cohomology of $\text{Aut}(F_n)$ to its homology with coefficients i
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Demystifying the Golden Ratio (Part 2)
In this second video of the series, we explore the relationship between the Golden Ratio and the equation defining the Fibonocci numbers.
From playlist Demystifying the Golden Ratio
Easy Rust 124: Fn, FnMut, FnOnce traits for closures
Closures will implement one of these three traits and they take a while to figure out (or at least I did). From this chapter: https://dhghomon.github.io/easy_rust/Chapter_47.html Also see the chapter in the Book on it: https://doc.rust-lang.org/book/ch13-01-closures.html#capturing-the-env
From playlist Easy Rust / Rust in a Month of Lunches: bite-sized Rust tutorials
Camille Horbez: Growth under random products of automorphisms of a free group
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebra
Dominated Convergence Theorem In this video, I present the single, most important fact from analysis that you need to know: The Dominated Convergence Theorem. It is a nice theorem that allows us to pass under the limit inside of an integral. The beauty of it is that its assumptions are ve
From playlist Real Analysis
A Beautiful Visual Interpretation - The Sum of Squares of the Fibonacci Numbers.
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From playlist Number Theory
Solving the Logarithmic Equation ln(ln(x)) = 0
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Solving the Logarithmic Equation ln(ln(x)) = 0
From playlist Logarithmic Equations
In this video, I calculate the sum of the first n Fibonacci numbers, using a neat telescoping sum-trick. Subscribe to my channel: https://www.youtube.com/c/drpeyam
From playlist Calculus