Numerical analysis | Approximation theory
In mathematics, moduli of smoothness are used to quantitatively measure smoothness of functions. Moduli of smoothness generalise modulus of continuity and are used in approximation theory and numerical analysis to estimate errors of approximation by polynomials and splines. (Wikipedia).
Modulus of a product is the product of moduli
How to show that for all complex numbers the modulus of a product is the product of moduli. Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook
From playlist Intro to Complex Numbers
Stress & Strain - Elastic Modulus & Shear Modulus Practice Problems - Physics
This physics video tutorial provides practice problems associated with the elastic modulus and shear modulus of materials. It explains how to calculate the stress and strain of materials when an external force is applied. Stress is the ratio of force and area. Strain is the ratio of the
From playlist New Physics Video Playlist
Bulk Modulus of Elasticity and Compressibility - Fluid Mechanics - Physics Practice Problems
This physics video tutorial explains how to solve problems associated with the bulk modulus of materials. The bulk modulus is the ratio of bulk stress and bulk strain. The bulk stress is the ratio of force and area which is equivalent to the pressure exerted by a fluid. The bulk strain
From playlist New Physics Video Playlist
"Sketch the modulus of a linear function." and "Solve inequalities involving the modulus function."
From playlist KS5 - Functions
Stress-strain curves and modulus of elasticity
When we apply a stress to a material we get a strain. But how much? The amount of strain will be proportional to the modulus of elasticity also known as Young's modulus or the materials stiffness. Yount's modulus is the slope of the stress vs strain curve during the elastic deformation reg
From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020
How to find the Modulos(Magnitude) of a Complex Number
How to find the Modulos(Magnitude) of a Complex Number Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys
From playlist Complex Numbers
Math 135 Complex Analysis Lecture 12 030315: Maximum Modulus Principle; Harmonic Functions
Mean Value Property of analytic functions; local maximum modulus principle; maximum modulus principle; existence of harmonic conjugate on simply connected sets (and thus locally); Mean Value Property for harmonic functions; maximum modulus principle for harmonic functions; Dirichlet proble
From playlist Course 8: Complex Analysis
Young's modulus is a crucial mechanical property in engineering, as it defines the stiffness of a material and tells us how much it will deform for an applied stress. In this video I take a detailed look at Young's modulus, starting with tensile tests and stress-strain curves, all the way
From playlist Understanding Material Properties
Fractals are typically not self-similar
An explanation of fractal dimension. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: https://3b1b.co/fractals-thanks And by Affirm: https://www.affirm.com/careers H
From playlist Explainers
Shane Kelly: Motives with modulus over a general base
27 September 2021 This is joint work with Hiroyasu Miyazaki. Motives with modulus, as developed by Kahn, Miyazaki, Saito, Yamazaki is an extension of Voevodsky's theory of motives with the aim of capturing non-A1-invariant phenomena that is inaccessible to Voevodsky's theory but still \mo
From playlist Representation theory's hidden motives (SMRI & Uni of Münster)
The Complex Green's Theorem -- Complex Analysis 15
⭐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 Complex Analysis
Powers as values of polynomials - David (Roger) Heath-Brown [2011]
Arithmetic Statistics April 11, 2011 - April 15, 2011 April 14, 2011 (02:10 PM PDT - 03:00 PM PDT) Speaker(s): David (Roger) Heath-Brown (University of Oxford) Location: MSRI: Simons Auditorium http://www.msri.org/workshops/567/schedules/12704
From playlist Number Theory
Amalendu Krishna: Torsion in the 0-cycle groups
The lecture was held within the framework of the Hausdorff Trimester Program : Workshop "K-theory in algebraic geometry and number theory"
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Étienne Ghys: A guided tour of the seventh dimension
Abstract: One of the most amazing discoveries of John Milnor is an exotic sphere in dimension 7. For the layman, a sphere of dimension 7 may not only look exotic but even esoteric... It took a long time for mathematicians to gradually accept the existence of geometries in dimensions higher
From playlist Abel Lectures
AMS construction for Floer moduli spaces - Guangbo Xu
Guangbo Xu's Seminar Topic: AMS construction for Floer moduli spaces Speaker: Guangbo Xu Affiliation: University of North Carolina; Member, School of Mathematics Date: October 18, 2022 I will explain how to generalize Abouzaid-McLean-Smith's construction to Floer moduli spaces. As we nee
From playlist Mathematics
From playlist Complex Analysis Made Simple
Tony Yue Yu - 3/4 The Frobenius Structure Conjecture for Log Calabi-Yau Varieties
Notes: https://nextcloud.ihes.fr/index.php/s/pSQnsgx72a4S5zj 3/4 - Naive counts, tail conditions and deformation invariance. --- We show that the naive counts of rational curves in an affine log Calabi-Yau variety U, containing an open algebraic torus, determine in a surprisingly simple w
From playlist Tony Yue Yu - The Frobenius Structure Conjecture for Log Calabi-Yau Varieties
Nick Cook (Duke) -- Universality for the minimum modulus of random trigonometric polynomials
We consider the restriction to the unit circle of random degree-n polynomials with iid normalized coefficients (Kac polynomials). Recent work of Yakir and Zeitouni shows that for Gaussian coefficients, the minimum modulus (suitably rescaled) follows a limiting exponential distribution. We
From playlist Columbia Probability Seminar
Smooth Transition Function in One Dimension | Smooth Transition Function Part 1
#SoME2 This video gives a detailed construction of transition function for various levels of smoothness. Sketch of proofs for 4 theorems regarding smoothness: https://kaba.hilvi.org/homepage/blog/differentiable.htm Faà di Bruno's formula: https://en.wikipedia.org/wiki/Fa%C3%A0_di_Bruno%2
From playlist Summer of Math Exposition 2 videos