Measure theory | Real analysis
In mathematics, a function f on the interval [a, b] has the Luzin N property, named after Nikolai Luzin (also called Luzin property or N property) if for all such that , there holds: , where stands for the Lebesgue measure. Note that the image of such a set N is not necessarily measurable, but since the Lebesgue measure is complete, it follows that if the Lebesgue outer measure of that set is zero, then it is measurable and its Lebesgue measure is zero as well. (Wikipedia).
Complete Derivation: Universal Property of the Tensor Product
Previous tensor product video: https://youtu.be/KnSZBjnd_74 The universal property of the tensor product is one of the most important tools for handling tensor products. It gives us a way to define functions on the tensor product using bilinear maps. However, the statement of the universa
From playlist Tensor Products
Transcendental Functions 16 Proof of the Properties of Logarithms Part 1.mov
Proof of some of the properties of logarithms.
From playlist Transcendental Functions
DeepSec 2011: Conference US Experience - Laws, Compliance and real Life
Speaker: Mikhail Utin Mikhail Utin talked about a different approach to security at the DeepSec 2011 conference: While information security can be improved in a number of ways, one powerful approach is continually overlooked by security researchers. This approach constitutes a collective
From playlist DeepSec 2011
Transcendental Functions 9 One More Property of Logarithms.mov
Another logarithmic property.
From playlist Transcendental Functions
Models of speciation (Lecture - 02) by Sergey Gavrilets
Winter School on Quantitative Systems Biology DATE:04 December 2017 to 22 December 2017 VENUE:Ramanujan Lecture Hall, ICTS, Bengaluru The International Centre for Theoretical Sciences (ICTS) and the Abdus Salam International Centre for Theoretical Physics (ICTP), are organizing a Winter S
From playlist Winter School on Quantitative Systems Biology
The Domain of a Vector Valued Function
This video explains how to determine the domain of a vector valued function. http://mathispower4u.yolasite.com/
From playlist Vector Valued Function
Etale Theta - Part 02 - Properties of the Arithmetic Jacobi Theta Function
In this video we talk about Proposition 1.4 of Etale Theta. This came out of conversations with Emmanuel Lepage. Formal schemes in the Stacks Project: http://stacks.math.columbia.edu/tag/0AIL
From playlist Etale Theta
Gysin sequences and cohomology ring of symplectic fillings - Zhengyi Zhou
More videos on http://video.ias.edu
From playlist Mathematics
Transcendental Functions 16 Proof of the Properties of Logarithms Part 2.mov
Proof of the exponential or power property of logarithms.
From playlist Transcendental Functions
Some identities involving the Riemann-Zeta function.
After introducing the Riemann-Zeta function we derive a generating function for its values at positive even integers. This generating function is used to prove two sum identities. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist The Riemann Zeta Function
Topology Without Tears - Video 4d - Writing Proofs in Mathematics
This is part (d) of the fourth video in a series of videos which supplement my online book "Topology Without Tears" which is available free of charge at www.topologywithouttears.net Video 4 focusses on the extremely important topic of writing proofs. This video is about Mathematical Induc
From playlist Topology Without Tears
Lec 7 | MIT RES.6-008 Digital Signal Processing, 1975
Lecture 7: z-Transform properties Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES6-008S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-008 Digital Signal Processing, 1975
Properties of the Derivatives of Vector Valued Functions
This video reviews 6 basic properties of the derivatives of vector valued function and proves the derivative of the dot product. http://mathispower4u.yolasite.com/
From playlist Vector Valued Function
Linear Algebra II: Oxford Mathematics 1st Year Student Lecture - James Maynard
Our latest student lecture features the first lecture in the second term (1st Year) introductory course on Linear Algebra from leading Oxford Mathematician James Maynard. We are making these lectures available to give an insight in to the student experience and how we teach. All first a
From playlist Oxford Mathematics 1st Year Student Lectures
Linear Algebra 14TBD: An Elegant Approach to Defining the Determinant
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 2 Linear Algebra: An In-Depth Course with a Focus on Applications
Lecture 5: The Archimedian Property, Density of the Rationals, and Absolute Value
MIT 18.100A Real Analysis, Fall 2020 Instructor: Dr. Casey Rodriguez View the complete course: http://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61O7HkcF7UImpM0cR_L2gSw We show that the real numbers satisfy the A
From playlist MIT 18.100A Real Analysis, Fall 2020
Vaughn Climenhaga: Beyond Bowen specification property - lecture 1
Rufus Bowen introduced the specification property for uniformly hyperbolic dynamical systems and used it to establish uniqueness of equilibrium states, including the measure of maximal entropy. After reviewing Bowen's argument, we will present our recent work on extending Bowen's approach
From playlist Dynamical Systems and Ordinary Differential Equations
Lecture 11, Discrete-Time Fourier Transform | MIT RES.6.007 Signals and Systems, Spring 2011
Lecture 11, Discrete-Time Fourier Transform Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES-6.007S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6.007 Signals and Systems, 1987
Real Analysis Ep 4: The Archimedean Property
Episode 4 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 Archimedean property of the real numbers. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker w
From playlist Math 3371 (Real analysis) Fall 2020
Domain of Function g(x, y) = xsqrt(y) Calculus 3
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Domain of Function g(x, y) = xsqrt(y) Calculus 3
From playlist Calculus