Completeness and Orthogonality
A discussion of the properties of Completeness and Orthogonality of special functions, such as Legendre Polynomials and Bessel functions.
From playlist Mathematical Physics II Uploads
Real Analysis | The Supremum and Completeness of ℝ
We look at the notions of upper and lower bounds as well as least upper bounds and greatest lower bounds of sets of real numbers. We also prove an important classification lemma of least upper bounds. Finally, the completeness axiom of the real numbers is presented. Please Subscribe: ht
From playlist Real Analysis
Ex: Determine a Real, Imaginary, and Complex Number
This video explains how decide if a number is best described by the set of real, imaginary, or complex numbers. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist Performing Operations with Complex Numbers
Categories of the Real Numbers | Don't Memorise
Which are the different categories of numbers that come under Real Numbers? Are they Rational and Irrational Numbers? To learn more about Real Numbers, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=I
From playlist Real Numbers
What is the absolute of a complex number
http://www.freemathvideos.com In this video series I will show you how to find the absolute value of a complex number. The absolute value of a complex number represents the distance from a complex number to the origin. We will do this by taking the absolute value of the square of both of
From playlist Simplify Rational Expressions
Different Types of Numbers on the number line, lesson 1 #shorts
Watch the full playlist: https://www.youtube.com/watch?v=kcxK3_sROZA&list=PL14bv5vXK2WWuODhGbpPQA0GamV5ohOVb&index=1 Natural Numbers (N), (also called positive integers, counting numbers, or natural numbers); They are the numbers {1, 2, 3, 4, 5, …} Whole Numbers (W). This is the set of na
From playlist Celebrities Teach Math: The Number System
Construction of Natural Numbers In this, I rigorously define the concept of a natural number, using Peano's axioms. I also explain why those axioms are the basis for the principle of mathematical induction. Enjoy! Check out my Real Numbers Playlist: https://www.youtube.com/playlist?list=
From playlist Real Numbers
Identifying Sets of Real Numbers
This video provides several examples of identifying the sets a real number belongs to. Complete Video Library: http://www.mathispower4u.com Search by Topic: http://www.mathispower4u.wordpress.com
From playlist Number Sense - Properties of Real Numbers
Kaie Kubias: "Rank-one tensor completion"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop III: Mathematical Foundations and Algorithms for Tensor Computations "Rank-one tensor completion" Kaie Kubias - Aalto University, Department of Mathematics and Systems Analysis Abstract: We study the
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
Real Analysis | The density of Q and other consequences of the Axiom of Completeness.
We present three results that follow from the completeness of the real numbers. 1. The Nested Interval Theorem 2. The Archimedean Principal 3. The density of the rational numbers in the real numbers. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal W
From playlist Real Analysis
Distinguished Visitor Lecture Series Finding better randomness Theodore A. Slaman University of California, Berkeley, USA
From playlist Distinguished Visitors Lecture Series
L-functions and the Riemann Hypothesis - Lecture 1/4 by Keith Conrad [CTNT 2018]
Full playlist: https://www.youtube.com/playlist?list=PLJUSzeW191QzCQXXlGTpIxhc8Y77dw5p1 Notes: https://ctnt-summer.math.uconn.edu/wp-content/uploads/sites/1632/2018/05/ctnt2018-DirichletLfnGRH-Day1.pdf Mini-course F: “L-functions and the Riemann Hypothesis” by Keith Conrad (UConn). Bas
From playlist Number Theory
CTNT 2018 - "L-functions and the Riemann Hypothesis" (Lecture 1) by Keith Conrad
This is lecture 1 of a mini-course on "L-functions and the Riemann Hypothesis", taught by Keith Conrad, during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2018 - "L-functions and the Riemann Hypothesis" by Keith Conrad
Real Analysis Chapter 1: The Axiom of Completeness
Welcome to the next part of my series on Real Analysis! Today we're covering the Axiom of Completeness, which is what opens the door for us to explore the wonderful world of the real number line, as it distinguishes the set of real numbers from that of the rational numbers. It allows us
From playlist Real Analysis
Real Analysis Ep 3: The Axiom of Completeness
Episode 3 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is about the completeness axiom for the real numbers. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker we
From playlist Math 3371 (Real analysis) Fall 2020
Peter Scholze - Liquid vector spaces
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ (joint with Dustin Clausen) Based on the condensed formalism, we propose new foundations for real functional analysis, replacing complete locally convex vector spaces with a vari
From playlist Toposes online
What is a Riesz Space? -- MathMajor Seminar
⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn ⭐my other channels⭐ Main Channel: https://www.youtube.com/michaelpennmath non-math podcast: http
From playlist MathMajor Seminar
Mod-01 Lec-27 Residence Time Distribution Models
Advanced Chemical Reaction Engineering (PG) by Prof. H.S.Shankar,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Chemical Reaction Engineering | CosmoLearning.org
Difficulties with real numbers as infinite decimals ( I) | Real numbers + limits Math Foundations 91
There are three quite different approaches to the idea of a real number as an infinite decimal. In this lecture we look carefully at the first and most popular idea: that an infinite decimal can be defined in terms of an infinite sequence of digits appearing to the right of a decimal point
From playlist Math Foundations