Mathematical series | Sequences and series
In mathematics, a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression. Equivalently, a sequence is a harmonic progression when each term is the harmonic mean of the neighboring terms. As a third equivalent characterization, it is an infinite sequence of the form where a is not zero and −a/d is not a natural number, or a finite sequence of the form where a is not zero, k is a natural number and −a/d is not a natural number or is greater than k. (Wikipedia).
An example of a harmonic series.
From playlist Advanced Calculus / Multivariable Calculus
C67 The physics of simple harmonic motion
See how the graphs of simple harmonic motion changes with changes in mass, the spring constant and the values correlating to the initial conditions (amplitude)
From playlist Differential Equations
Simple Harmonic Motion Example Question (1 of 3: Determining period of motion)
More resources available at www.misterwootube.com
From playlist Applications of Calculus to Mechanics
B04 Example problem of simple harmonic oscillation
Solving an example problem of simple harmonic oscillation, which requires calculating the solution to a second order ordinary differential equation.
From playlist Physics ONE
Composing music and creating mathematics - Will Troiani
Full title "An opposite is whole only with its contrary; composing music and creating mathematics". Music and mathematics have many similarities, both requiring creativity and exploration to create something original. Musicians should strive for originality and understand how constraints
From playlist Anything At All seminar
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
James Arthur: The Langlands program: arithmetic, geometry and analysis
Abstract: As the Abel Prize citation points out, the Langlands program represents a grand unified theory of mathematics. We shall try to explain in elementary terms what this means. We shall describe an age old question concerning the arithmetic prime numbers, together with a profound gene
From playlist Abel Lectures
View the complete OCW resource: http://ocw.mit.edu/resources/res-8-005-vibrations-and-waves-problem-solving-fall-2012/ Instructor: Wit Busza Continued discussion of systems with infinite degrees of freedom, where oscillators are identical, harmonic, connected only to their neighbors, and
From playlist 8.03 - MIT Help Sessions by Professor Wit Busza
Interview at Cirm: Terence TAO
Terence Tao (born 17 July 1975) is an Australian-American mathematician who has worked in various areas of mathematics. He currently focuses on harmonic analysis, partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, compressed sensing
From playlist English interviews - Interviews en anglais
Hillel Furstenberg - The Abel Prize interview 2020
00:00 Congratulations 00:30 Furstenberg tells us about his childhood and his love for mathematics 03:20 Enjoying problem-solving challenges 05:44 Being an undergraduate student at Yeshiva College and his paper "on the infinitude of primes" 08:27 PhD thesis at Princeton University proving
From playlist The Abel Prize Interviews
Data Science - Part XVI - Fourier Analysis
For downloadable versions of these lectures, please go to the following link: http://www.slideshare.net/DerekKane/presentations https://github.com/DerekKane/YouTube-Tutorials This lecture provides an overview of the Fourier Analysis and the Fourier Transform as applied in Machine Learnin
From playlist Data Science
WSU Master Class: Mathematics, The Language of Nature with Edward Frenkel Course
Join mathematician Edward Frenkel as he discusses how the elegant mathematical formulation of symmetry has been used throughout math and physics and could, through the Langlands program, give rise to a grand unified theory of mathematics. This lecture was recorded on May 31, 2014, at the
From playlist WSU Master Classes
WSU Master Class: Mathematics, The Language of Nature with Edward Frenkel Course
Join mathematician Edward Frenkel as he discusses how the elegant mathematical formulation of symmetry has been used throughout math and physics and could, through the Langlands program, give rise to a grand unified theory of mathematics. This lecture was recorded on May 31, 2014, at the
From playlist WSU Master Class
Simple Harmonic Motion (16 of 16): Equations, Example Problems
This video explains how to write the equations for simple harmonic motion that can be used to determine the position of the mass with respect to time. The previous video in this series explained four important terms as they relate to simple harmonic motion: cycle, amplitude, period and fr
From playlist Simple Harmonic Motion, Waves and Vibrations
1. A bridge between graph theory and additive combinatorics
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX In an unsuccessful attempt to prove Fermat's last theorem
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
B03 Simple harmonic oscillation
Explaining simple (idealised) harmonic oscillation, through a second-order ordinary differential equation.
From playlist Physics ONE
Harmonic maps between singular spaces - Brian Freidin
Short talks by postdoc visitors Topic: Harmonic maps between singular spaces Speaker: Brian Freidin Affiliation: Brown University; Visitor, School of Mathematics Date: October 10, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics