Geometric group theory

Out(Fn)

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).

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

What is an F Chord?

All F chords are made from different permutations and combinations of the F,C and A notes

From playlist Music Lessons

Video thumbnail

Inverse Trigonometric Derivatives f(x) = ln(2 + arcsin(x))

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys

From playlist Calculus

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

Dominated Convergence Theorem

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

Video thumbnail

A Beautiful Visual Interpretation - The Sum of Squares of the Fibonacci Numbers.

Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://papaflammy.myteespring.co/ https://www.amazon.com/shop/flammablemaths https://shop.spreadshirt.de/papaflammy Become a Member of the Flammily! :0 https://www.youtub

From playlist Number Theory

Video thumbnail

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

Video thumbnail

Sum of Fibonacci

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

Related pages

Graph (discrete mathematics) | Group extension | Homotopy | Free group | Automorphism group of a free group | Isomorphism | Teichmüller space | Surface (mathematics) | Homotopy category | Generating set of a group | General linear group | Homomorphism | Mathematics | Train track map | Outer space (mathematics) | Geometric group theory | Fundamental group | Automorphism group | Mapping class group | Outer automorphism group | Geometric group action