A harmonic spectrum is a spectrum containing only frequency components whose frequencies are whole number multiples of the fundamental frequency; such frequencies are known as harmonics. "The individual partials are not heard separately but are blended together by the ear into a single tone." In other words, if is the fundamental frequency, then a harmonic spectrum has the form A standard result of Fourier analysis is that a function has a harmonic spectrum if and only if it is periodic. (Wikipedia).
An example of a harmonic series.
From playlist Advanced Calculus / Multivariable Calculus
This video introduces the harmonic series, explains why it is divergent and also examples infinite series that resemble the harmonic series. Site: http://mathispower4u.com
From playlist Infinite Series
Fourier Series Animation using Circles [Sawtooth function]
Same as the original one for the square wave (https://youtu.be/LznjC4Lo7lE) but this time for the sawtooth wave, we show how the harmonic circles form the final signal. Any periodic signal can be decomposed into a set of simple oscillating functions (also known as harmonics) via the appl
From playlist Electromagnetic Animations
Euler-Mascheroni VI: An Integral Representation of the Harmonic Numbers
Channel social media: Instagram: @whatthehectogon https://www.instagram.com/whatthehect... Twitter: @whatthehectogon https://twitter.com/whatthehectogon Any questions? Leave a comment below or email me at the misspelled whatthehectagon@gmail.com In this video, I prepare my next barrag
From playlist Analysis
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
HEDS | Relativistic plasma mirrors for high-power ultrashort pulses from UV to soft x-ray
HEDS Seminar Series- Julia Mikhailova – June 3rd, 2021 LLNL-VIDEO-835546
From playlist High Energy Density Science Seminar Series
Peter Lax: Abstract Phragmen-Lindelöf theorem & Saint Venant’s principle
Programme for the Abel Lectures 2005: 1. "Abstract Phragmen-Lindelöf theorem & Saint Venant’s principle" by Abel Laureate 2005 Peter D. Lax, New York University 2. "Systems of conservation laws" by Professor Sebastian Noelle, CMA Oslo/ RWTH Aachen 3. "Hyperbolic equations and spectral geom
From playlist Abel Lectures
Lecture 14, Demonstration of Amplitude Modulation | MIT RES.6.007 Signals and Systems, Spring 2011
Lecture 14, Demonstration of Amplitude Modulation 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
For the latest information, please visit: http://www.wolfram.com Speaker: Carlo Giacometti Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and more.
From playlist Wolfram Technology Conference 2016
Molecular Structure & Statistical Mechanics 131B. Lecture 09. Vibrations in Molecules
UCI Chem 131B Molecular Structure & Statistical Mechanics (Winter 2013) Lec 09. Molecular Structure & Statistical Mechanics -- Vibration in Molecules. View the complete course: http://ocw.uci.edu/courses/chem_131b_molecular_structure_and_elementary_statistical_mechanics.html Instructor: Ra
From playlist Chem 131B: Molecular Structure & Statistical Mechanics
D. Stern - Harmonic map methods in spectral geometry (version temporaire)
Over the last fifty years, the problem of finding sharp upper bounds for area-normalized Laplacian eigenvalues on closed surfaces has attracted the attention of many geometers, due in part to connections to the study of sphere-valued harmonic maps and minimal immersions. In this talk, I'll
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
D. Stern - Harmonic map methods in spectral geometry
Over the last fifty years, the problem of finding sharp upper bounds for area-normalized Laplacian eigenvalues on closed surfaces has attracted the attention of many geometers, due in part to connections to the study of sphere-valued harmonic maps and minimal immersions. In this talk, I'll
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
B03 Simple harmonic oscillation
Explaining simple (idealised) harmonic oscillation, through a second-order ordinary differential equation.
From playlist Physics ONE
Integrability in the Laplacian Growth Problem by Eldad Bettelheim
Program : Integrable systems in Mathematics, Condensed Matter and Statistical Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan L
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
Lecture 7 (CEM) -- Diffraction Gratings and the Plane Wave Spectrum
This lecture describes diffraction through periodic structures and shows that a field perturbed by a periodic structure can be expressed as a sum of plane waves at different angles (the plane wave spectrum). The lecture finishes by describing how to calculate the diffraction efficiency of
From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering
Signal Logging, Visualizing, And Spectrum Analysis | Modeling PLLs Using Mixed-Signal Blockset
This is part 4 in the series on Modeling PLLs Using Mixed-Signal Blockset™. In this installment, Kerry shows you how to log signals and visualize them. Two different methods to do this are shown. The first approach, using Simulink Data Inspector, is entirely interactive. This method also h
From playlist Modeling PLLs Using Mixed-Signal Blockset
Simple Harmonic Motion (15 of 16): Amplitude, Period & Frequency
This video explains three important terms as they relate to simple harmonic motion: amplitude, period and frequency. The video then shows how we graphically represent these three important wave properties on a position vs time graph. The next video in this series will explain how to write
From playlist Simple Harmonic Motion, Waves and Vibrations