Probability theory | Algebra of random variables | Randomness
In probability theory and statistics, complex random variables are a generalization of real-valued random variables to complex numbers, i.e. the possible values a complex random variable may take are complex numbers. Complex random variables can always be considered as pairs of real random variables: their real and imaginary parts. Therefore, the of one complex random variable may be interpreted as the joint distribution of two real random variables. Some concepts of real random variables have a straightforward generalization to complex random variables—e.g., the definition of the of a complex random variable. Other concepts are unique to complex random variables. Applications of complex random variables are found in digital signal processing, quadrature amplitude modulation and information theory. (Wikipedia).
Complex Numbers as Points (1 of 4: Geometric Meaning of Addition)
More resources available at www.misterwootube.com
From playlist Complex Numbers
Dividing Complex Numbers Example
Dividing Complex Numbers Example Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys
From playlist Complex Numbers
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
Calculus 2: Complex Numbers & Functions (22 of 28) What are Complex Exponentials? 1
Visit http://ilectureonline.com for more math and science lectures! In this video I will derive the formula for finding complex exponentials, e^(iy)=?, and its relationship to Euler's equation, z=x+iy. Next video in the series can be seen at: https://youtu.be/bd5ta4A4b60
From playlist CALCULUS 2 CH 11 COMPLEX NUMBERS
In this video, we'll learn how to view a complex number as a 2x2 matrix with a special form. We'll also see that there is a matrix version for the number 1 and a matrix representation for the imaginary unit, i. Furthermore, the matrix representation for i has the defining feature of the im
From playlist Complex Numbers
Introduction to Complex Numbers (Free Ebook)
http://bookboon.com/en/introduction-to-complex-numbers-ebook This free ebook makes learning "complex" numbers easy through an interactive, fun and personalized approach. Features include: live YouTube video streams and closed captions that translate to 90 languages! Complex numbers "break
From playlist Intro to 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
What is the complex conjugate?
What is the complex conjugate of a complex number? Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook
From playlist Intro to Complex Numbers
Stanford CS229M - Lecture 5: Rademacher complexity, empirical Rademacher complexity
For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai To follow along with the course, visit: https://web.stanford.edu/class/stats214/ To view all online courses and programs offered by Stanford, visit: http://onli
From playlist Stanford CS229M: Machine Learning Theory - Fall 2021
Introduction to Query-to-Communication Lifting - Mika Goos
Computer Science/Discrete Mathematics Seminar II Topic: Introduction to Query-to-Communication Lifting Speaker: Mika Goos Affiliation: Member, School of Mathematics Date: November 20, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
John Terilla : A collection of Homotopy Random Variables
Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 29, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
From playlist Geometry
Recent progress in query complexity I & II - Pei Wu
Computer Science/Discrete Mathematics Seminar II Topic: Recent progress in query complexity I & II Speaker: Pei Wu Affiliation: Member, School of Mathematics Date: October 5, 2021 The query model is one of the most basic computational models. In contrast to the Turing machine model, fu
From playlist Mathematics
Eigenvalues of product random matrices by Nanda Kishore Reddy
PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the
From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019
Improved Bounds for the Randomized Decision Tree Complexity of Recursive Majority - Ashwin Nayak
Ashwin Nayak University of Waterloo April 4, 2011 Recursive Majority-of-three (3-Maj) is a deceptively simple problem in the study of randomized decision tree complexity. The precise complexity of this problem is unknown, while that of the similarly defined Recursive NAND tree is completel
From playlist Mathematics
Topology of Random Simplicial Complexes - Matthew Kahle
Topology of Random Simplicial Complexes - Matthew Kahle Institute for Advanced Study October 5, 2010 In this talk I will overview two very different kinds of random simplicial complex, both of which could be considered higher-dimensional generalizations of the Erdos-Renyi random graph, and
From playlist Mathematics
Random Matrices in Unexpected Places: Atomic Nuclei, Chaotic Billiards, Riemann Zeta #SoME2
Chapters: 0:00 Intro 2:21 What is RMT 7:12 Ensemble Averaging/Quantities of Interest 13:30 Gaussian Ensemble 18:03 Eigenvalues Repel 28:08 Recap 29:08 Three Surprising Coincidences 32:44 Billiards/Quantum Systems 36:00 Reimann Zeta ~~~~~~~~~~~~~~~~~~~~~~~~~ Errata + Clarifications ~~~~
From playlist Summer of Math Exposition 2 videos
An average-case depth hierarchy theorem for Boolean - Li-Yang Tan
Computer Science/Discrete Mathematics Seminar I Topic: An average-case depth hierarchy theorem for Boolean circuits I Speaker: Li-Yang Tan Affiliation: Toyota Technological Institute, Chicago Date: Monday, April 4 We prove an average-case depth hierarchy theorem for Boolean circuits
From playlist Mathematics
Complex Stochastic Models and their Applications by Subhroshekhar Ghosh
PROGRAM: TOPICS IN HIGH DIMENSIONAL PROBABILITY ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India) DATE & TIME: 02 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall This program will focus on several interconnected themes in modern probab
From playlist TOPICS IN HIGH DIMENSIONAL PROBABILITY
Complex Numbers, Complex Variables, and Complex Functions
In this video we discuss complex numbers and show how they can be represented in various forms (rectangular or Euler’s formula) as well as how to perform basic operations on them. Topics and time stamps: 0:00 – Introduction 2:30 – Defining complex numbers in Matlab 11:00 – Math joke on co
From playlist Ordinary Differential Equations