In mathematics, a complex structure on a real vector space V is an automorphism of V that squares to the minus identity, −I. Such a structure on V allows one to define multiplication by complex scalars in a canonical fashion so as to regard V as a complex vector space. Every complex vector space can be equipped with a compatible complex structure, however, there is in general no canonical such structure. Complex structures have applications in representation theory as well as in complex geometry where they play an essential role in the definition of almost complex manifolds, by contrast to complex manifolds. The term "complex structure" often refers to this structure on manifolds; when it refers instead to a structure on vector spaces, it may be called a linear complex structure. (Wikipedia).
2 Construction of a Matrix-YouTube sharing.mov
This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.
From playlist Linear Algebra
Intro to Linear Systems: 2 Equations, 2 Unknowns - Dr Chris Tisdell Live Stream
Free ebook http://tinyurl.com/EngMathYT Basic introduction to linear systems. We discuss the case with 2 equations and 2 unknowns. A linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that ar
From playlist Intro to Linear Systems
The Definition of a Linear Equation in Two Variables
This video defines a linear equation in to variables and provides examples of the different forms of linear equations. http://mathispower4u.com
From playlist The Coordinate Plane, Plotting Points, and Solutions to Linear Equations in Two Variables
Linear Algebra: Systems of Linear Equations
Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at http://centerofmath.org/
From playlist Basics: Linear Algebra
Linear Algebra: Linear Combinations and Span
Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at http://centerofmath.org/
From playlist Basics: Linear Algebra
7A_2 Linear Algebra Definitions
"linear algebra" "matrix equations" "linear set" "set linear equations" linear algebra matrix equation linear set equations "triangular matrix" "square matrix" "main diagonal" homogenous consistent triangular square "elemetary matrix" elementary row echelon reduced
From playlist Linear Algebra
Intro to Linear Systems: 3 Equations, 3 Unknowns - Dr Chris Tisdell Live Stream
Free ebook http://tinyurl.com/EngMathYT Basic introduction to linear systems. We discuss the case with 3 equations and 3 unknowns. Geometrically, we are looking at how three planes intersect. A linear system is a mathematical model of a system based on the use of a linear operator. Lin
From playlist Intro to Linear Systems
Definition of Linear Combination and How to Show a Vector is a Linear Combination of Other Vectors
Definition of Linear Combination and How to Show a Vector is a Linear Combination of Other Vectors More Linear Algebra! This starts with the definition of a Linear Combination and then we show a Vector in R^3 is a linear combination of other vectors in R^3. Solid example. I hope this help
From playlist Linear Algebra
Solve Linear Systems of Equations
How to solve linear systems via matrices. We discuss consistent and inconsistent forms and show how to solve.
From playlist Intro to Linear Systems
Time Complexity In Data Structure | Time Complexity Analysis - Data Structures Tutorial |Simplilearn
🔥Post Graduate Program In Full Stack Web Development: https://www.simplilearn.com/pgp-full-stack-web-development-certification-training-course?utm_campaign=TimeComplexityInDataStructure-WI64Fyky6m4&utm_medium=DescriptionFF&utm_source=youtube 🔥Caltech Coding Bootcamp (US Only): https://www.
From playlist Data Structures & Algorithms [2022 Updated]
Alexandre Sukhov - J-complex curves: some applications (Part 3)
We will focus in our lectures on the following : 1. J-complex discs in almost complex manifolds : general properties. Linearization and compactness. Gromov’s method : the Fredholm alternative for the d-bar operator. Attaching a complex disc to a Lagrangian manifold. Application : exotic sy
From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications
Time Complexity Analysis | What Is Time Complexity? | Data Structures And Algorithms | Simplilearn
This video covers what is time complexity analysis in data structures and algorithms. This Time Complexity tutorial aims to help beginners to get a better understanding of time complexity analysis. Following topics covered in this video: 00:00 What is Time Complexity Analysis 04:21 How t
From playlist Data Structures & Algorithms
Tropical Geometry - Lecture 6 - Structure Theorem | Bernd Sturmfels
Twelve lectures on Tropical Geometry by Bernd Sturmfels (Max Planck Institute for Mathematics in the Sciences | Leipzig, Germany) We recommend supplementing these lectures by reading the book "Introduction to Tropical Geometry" (Maclagan, Sturmfels - 2015 - American Mathematical Society)
From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels
Stein Structures: Existence and Flexibility - Kai Cieliebak
Kai Cieliebak Ludwig-Maximilians-Universitat, Munich, Germany March 2, 2012
From playlist Mathematics
Stein Structures: Existence and Flexibility - Kai Cieliebak
Kai Cieliebak Ludwig-Maximilians-Universitat, Munich, Germany March 1, 2012
From playlist Mathematics
Terence Tao: The circle method from the perspective of higher order Fourier analysis
Higher order Fourier analysis is a collection of results and methods that can be used to control multilinear averages (such as counts for the number of four-term progressions in a set) that are out of reach of conventional linear Fourier analysis methods (i.e., out of reach of the circle m
From playlist Harmonic Analysis and Analytic Number Theory
Testing Correlations and Inverse Theorems - Hamed Hatami
Hamed Hatami Institute for Advanced Study/Princeton University February 23, 2010 The uniformity norms are defined in different contexts in order to distinguish the ``typical'' random functions, from the functions that contain certain structures. A typical random function has small uniform
From playlist Mathematics
Lagrangians, symplectomorphisms and zeroes of moment maps - Yann Rollin
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Lagrangians, symplectomorphisms and zeroes of moment maps Speaker: Yann Rollin Affiliation: Nantes University Date: April 08, 2022 I will present two constructions of Kähler manifolds, endowed with Hamiltonia
From playlist Mathematics
Francesco Genovese - A derived Gabriel-Popescu Theorem for T-structures via derived injectives
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/GenoveseNotesToposesOnline.pdf Joint work with Julia Ramos González In this short talk, we discuss a Gabriel-Popesc
From playlist Toposes online
13E A Matrix Equation for the Dot Product
Writing the Euclidean inner product in the form of matrix multiplication.
From playlist Linear Algebra