Continuity vs Partial Derivatives vs Differentiability | My Favorite Multivariable Function
In single variable calculus, a differentiable function is necessarily continuous (and thus conversely a discontinuous function is not differentiable). In multivariable calculus, you might expect a similar relationship with partial derivatives and continuity, but it turns out this is not th
Theory of numbers: Multiplicative functions
This lecture is part of an online undergraduate course on the theory of numbers. Multiplicative functions are functions such that f(mn)=f(m)f(n) whenever m and n are coprime. We discuss some examples, such as the number of divisors, the sum of the divisors, and Euler's totient function.
From playlist Theory of numbers
How to Evaluate a Multivariable Function Defined by an Integral
How to Evaluate a Multivariable Function Defined by an Integral If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Calculus 3
Local linearity for a multivariable function
A visual representation of local linearity for a function with a 2d input and a 2d output, in preparation for learning about the Jacobian matrix.
From playlist Multivariable calculus
Multivariable Calculus | Differentiability
We give the definition of differentiability for a multivariable function and provide a few examples. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Injective, Surjective and Bijective Functions (continued)
This video is the second part of an introduction to the basic concepts of functions. It looks at the different ways of representing injective, surjective and bijective functions. Along the way I describe a neat way to arrive at the graphical representation of a function.
From playlist Foundational Math
An introduction to how the jacobian matrix represents what a multivariable function looks like locally, as a linear transformation.
From playlist Multivariable calculus
What is the domain of the product of a square root and reciprocal function
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We will then simplify the product and determine the domai
From playlist How to Multiply Functions
Definition of a Surjective Function and a Function that is NOT Surjective
We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht
From playlist Injective, Surjective, and Bijective Functions
Francis Brown - Quantum Field Theory and Arithmetic
Quantum Field Theory and Arithmetic
From playlist 28ème Journées Arithmétiques 2013
CTNT 2018 - "L-functions and the Riemann Hypothesis" (Lecture 3) by Keith Conrad
This is lecture 3 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
On Furstenberg systems for some aperiodic multiplicative functions - Mariusz Lemanczyk
Special Year Research Seminar Topic: On Furstenberg systems for some aperiodic multiplicative functions Speaker: Mariusz Lemanczyk Affiliation: Nicolaus Copernicus University in Toruń; Member, School of Mathematics Date: January 17, 2023 The Chowla conjecture from 1965 predicts that all
From playlist Mathematics
Python Multiprocessing Tutorial: Run Code in Parallel Using the Multiprocessing Module
In this video, we will be learning how to use multiprocessing in Python. This video is sponsored by Brilliant. Go to https://brilliant.org/cms to sign up for free. Be one of the first 200 people to sign up with this link and get 20% off your premium subscription. In this Python Programmi
From playlist Python Tutorials
Set Theory (Part 10): Natural Number Arithmetic
Please feel free to leave comments/questions on the video and practice problems below! In this video, we utilize the recursion theorem to give a theoretical account of arithmetic on the natural numbers. We will also see that the common properties of addition, multiplication, etc. are now
From playlist Set Theory by Mathoma
A quantitative version of the fibration method - Loughran - Workshop 1 - CEB T2 2019
Daniel Loughran (The University of Bath) / 23.05.2019 A quantitative version of the fibration method Harpaz and Wittenberg have made spectacular progress on the fibration method, with regards to the study of the Brauer-Manin obstruction to the Hasse principle on rationally connected var
From playlist 2019 - T2 - Reinventing rational points
Dong Zhang (7/27/22): Higher order eigenvalues for graph p-Laplacians
Abstract: The spectrum of the graph p-Laplacian is closely related to many properties of the graph itself. In particular, when p=1, the second eigenvalue coincides with the Cheeger constant. The p-Laplacian, for p greater than 1 and less than 2, can be seen as an extrapolation between the
From playlist Applied Geometry for Data Sciences 2022
Faster Arbitrary Precision Computation of Elementary Functions
For the latest information, please visit: http://www.wolfram.com Speaker: Mark Sofroniou Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and more.
From playlist Wolfram Technology Conference 2015
Multiplicity obstructions are stronger than occurrence obstructions by Christian Ikenmeyer
Discussion Meeting Workshop on Algebraic Complexity Theory  ORGANIZERS Prahladh Harsha, Ramprasad Saptharishi and Srikanth Srinivasan DATE & TIME 25 March 2019 to 29 March 2019 VENUE Madhava Lecture Hall, ICTS Bangalore Algebraic complexity aims at understanding the computationa
From playlist Workshop on Algebraic Complexity Theory 2019
This is the simplest case of taking the derivative of a composition involving multivariable functions.
From playlist Multivariable calculus