What are complex numbers? | Essence of complex analysis #2
A complete guide to the basics of complex numbers. Feel free to pause and catch a breath if you feel like it - it's meant to be a crash course! Complex numbers are useful in basically all sorts of applications, because even in the real world, making things complex sometimes, oxymoronicall
From playlist Essence of complex analysis
Complex Numbers as Points (1 of 4: Geometric Meaning of Addition)
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From playlist Complex Numbers
How big are complex numbers? We discuss a way of measuring them via the modulus. The ideas use Pythagorus' theorem. Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook
From playlist Intro to Complex Numbers
ComplexMultiplication 1/3 - i/3
From playlist Complex Multiplication
Complex Power: (1 + i sqrt(3))^3
From playlist Complex Multiplication
Percentiles, Deciles, Quartiles
Understanding percentiles, quartiles, and deciles through definitions and examples
From playlist Unit 1: Descriptive Statistics
Some Basic Properties of Complex Numbers
This video describes some of the more basic properties of complex numbers.
From playlist Basics: Complex Analysis
Lecture 3 | Quantum Entanglements, Part 1 (Stanford)
Lecture 3 of Leonard Susskind's course concentrating on Quantum Entanglements (Part 1, Fall 2006). Recorded October 9, 2006 at Stanford University. This Stanford Continuing Studies course is the first of a three-quarter sequence of classes exploring the "quantum entanglements" in modern
From playlist Course | Quantum Entanglements: Part 1 (Fall 2006)
Designing explicit regularizers for deep models? - Tengyu Ma
Workshop on Theory of Deep Learning: Where next? Topic: Designing explicit regularizers for deep models? Speaker: Tengyu Ma Date: October 17, 2019 For more video please visit http://video.ias.edu
From playlist Workshop on Theory of Deep Learning: Where next?
Henry Adams (3/12/21): Vietoris-Rips thickenings: Problems for birds and frogs
An artificial distinction is to describe some mathematicians as birds, who from their high vantage point connect disparate areas of mathematics through broad theories, and other mathematicians as frogs, who dig deep into particular problems to solve them one at a time. Neither type of math
From playlist Vietoris-Rips Seminar
Serge Cantat - Random foldings of pentagons
Start with a pentagon in the euclidean plane, and consider the space of all pentagons with the same side lengths up to euclidean motion. This space is the real part of some K3 surface. Folding the pentagons along their diagonals, one obtains involutive automorphism of this K3 surface. I wi
From playlist Geometry in non-positive curvature and Kähler groups
Automorphisms of K3 surfaces – Serge Cantat – ICM2018
Dynamical Systems and Ordinary Differential Equations | Algebraic and Complex Geometry Invited Lecture 9.13 | 4.12 Automorphisms of K3 surfaces Serge Cantat Abstract: Holomorphic diffeomorphisms of K3 surfaces have nice dynamical properties. I will survey the main theorems concerning the
From playlist Algebraic & Complex Geometry
Lecture 3 | The Theoretical Minimum
January 23, 2012 - In this course, world renowned physicist, Leonard Susskind, dives into the fundamentals of classical mechanics and quantum physics. He discovers the link between the two branches of physics and ultimately shows how quantum mechanics grew out of the classical structure. I
From playlist Lecture Collection | The Theoretical Minimum: Quantum Mechanics
Complex dynamics and arithmetic equidistribution – Laura DeMarco – ICM2018
Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.5 Complex dynamics and arithmetic equidistribution Laura DeMarco Abstract: I will explain a notion of arithmetic equidistribution that has found application in the study of complex dynamical systems. It was first int
From playlist Dynamical Systems and ODE
Lecture 12: Lebesgue Integrable Functions, the Lebesgue Integral and the Dominated Convergence...
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=W2pw1JWc9k4&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
Lecture 2 | Quantum Entanglements, Part 1 (Stanford)
Lecture 2 of Leonard Susskind's course concentrating on Quantum Entanglements (Part 1, Fall 2006). Recorded October 2, 2006 at Stanford University. This Stanford Continuing Studies course is the first of a three-quarter sequence of classes exploring the "quantum entanglements" in modern
From playlist Course | Quantum Entanglements: Part 1 (Fall 2006)
i^i using Complex Analysis In this video we compute i^i using math from the field of complex analysis. This is a good example of how complex^complex = real.
From playlist Complex Analysis