Algebraic numbers | Polynomials | Complex numbers | Cyclotomic fields
In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that yields 1 when raised to some positive integer power n. Roots of unity are used in many branches of mathematics, and are especially important in number theory, the theory of group characters, and the discrete Fourier transform. Roots of unity can be defined in any field. If the characteristic of the field is zero, the roots are complex numbers that are also algebraic integers. For fields with a positive characteristic, the roots belong to a finite field, and, conversely, every nonzero element of a finite field is a root of unity. Any algebraically closed field contains exactly n nth roots of unity, except when n is a multiple of the (positive) characteristic of the field. (Wikipedia).
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 10 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 21 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 14 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 12 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 20 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 17 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 05 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 02 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 11 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
#SoME1 This video was made by Chino Cribioli, Juli Garbulsky and Bruno Giordano
From playlist Summer of Math Exposition Youtube Videos
CTNT 2020 - Infinite Galois Theory (by Keith Conrad) - Lecture 1
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Infinite Galois Theory (by Keith Conrad)
Last video, we used the fact that √2 = ζ + ζ⁻¹, for ζ an 8th root of unity, to tell us about the decomposition of rational primes in Z[√2]. In this video, we see that it is also possible to write √q as a sum of roots of unity for all *odd* primes q: in fact, we write down an explicit eleme
From playlist [ANT] An unorthodox introduction to algebraic number theory
The Fast Fourier Transform Without the Fourier?
An introduction to the Fast Fourier Transform from the perspective of multiplying polynomials. Great video on the geometric intuition behind the Fourier transform: https://www.youtube.com/watch?v=spUNpyF58BY&vl=en Article on big-O notation (one of the authors might be familiar...): ht
From playlist Summer of Math Exposition Youtube Videos
Elliptic Curves - Lecture 13a - The Weil pairing (consequences)
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Philipp Habegger: Equidistribution of roots of unity and the Mahler measure
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 25, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
FIT3.2.1. Cyclotomic Polynomials
Typos noted by commenters: 7:45 - should be alpha is minimal over Q. 8:45 - Number 1, last line should read phi(alpha*beta) = phi(alpha)*phi(beta) Field Theory: We define cyclotomic polynomial as the minimal polynomials of roots of unity over the rationals. We show that the roots of t
From playlist Abstract Algebra
An Introduction to Complex Numbers: Oxford Mathematics 1st Year Student Lecture
Much is written about life as an undergraduate at Oxford but what is it really like? As Oxford Mathematics's new first-year students arrive (273 of them, comprising 33 nationalities) we thought we would take the opportunity to go behind the scenes and share some of their experiences. Our
From playlist Oxford Mathematics 1st Year Student Lectures
Elliptic Curves - Lecture 11 - The Tate module
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Unity Tutorial | How To Create A Base Defense Game In Unity | Session 07 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft
From playlist Create A Base Defense Game In Unity
Field Theory - Cyclotomic Fields in CC - Lecture 12
In this video we define primitive roots of unity, explain why there are phi(n) primitive nth roots of unity, and show how to compute Phi_n(x) the nth cyclotomic polynomials.
From playlist Field Theory