Real analysis | Functions and mappings | Sequences and series | Limits (mathematics)

Oscillation (mathematics)

In mathematics, the oscillation of a function or a sequence is a number that quantifies how much that sequence or function varies between its extreme values as it approaches infinity or a point. As is the case with limits, there are several definitions that put the intuitive concept into a form suitable for a mathematical treatment: oscillation of a sequence of real numbers, oscillation of a real-valued function at a point, and oscillation of a function on an interval (or open set). (Wikipedia).

Oscillation (mathematics)
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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

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Βy which factors the oscillation period depends!

The oscillation period in simple harmonic motion!

From playlist MECHANICS

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Mechanical Oscillation - Differential equation

In this video we will focus on the mathematical description of an oscillatory motion, in particular the second order differential equation of simple harmonic motion. #Differential_equation #Simple_harmonic_motion #Physics #Oscillator #Mechanical_energy #Lebanese_Curriculum

From playlist Summer of Math Exposition Youtube Videos

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B03 Simple harmonic oscillation

Explaining simple (idealised) harmonic oscillation, through a second-order ordinary differential equation.

From playlist Physics ONE

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Accelerated motion and oscillation!

In this video i demonstrate accelerated motion with interface. I show the graphs of simple accelerating motion and simple harmonic motion with force and motion sensor!

From playlist MECHANICS

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Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (45 of 92) Quantum Nature of Oscillator 1

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the quantum mature of the oscillator. I will explain the step-function that represent the energy differences between different energy states. The change of the energy can only happen 1 step an

From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION

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Demonstrating the phenomenon of beats on the oscilloscope (slow motion)-Amazing science experiment

The main point of this demonstration is to hear the beats. It may be desirable, however, for the students to also have a visual display of what is happening to cause the beats. This is the purpose of the oscilloscop

From playlist Beats

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Quantum Mechanics Concepts: 7 The Harmonic Oscillator

Part 7 of a series: explains how the ideas of Simple Harmonic Motion can be carried into Quantum Mechanics

From playlist Quantum Mechanics

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AWESOME Electromagnetic force oscillation!!!

In this video i show electromagnetic force oscillation on a ruler. Also i demonstrate the standing wave on a ruler!

From playlist ELECTROMAGNETISM

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Lecture 2 | New Revolutions in Particle Physics: Basic Concepts

(October 12, 2009) Leonard Susskind gives the second lecture of a three-quarter sequence of courses that will explore the new revolutions in particle physics. In this lecture he explores quantum field theory. Leonard Susskind, Felix Bloch Professor of Physics, received a PhD from Cornel

From playlist Lecture Collection | Particle Physics: Basic Concepts

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Climate Science, Waves, and PDE's for the Tropics ( 1 ) - Andrew J. Majda

Lecture 1: Climate Science, Waves, and PDE's for the Tropics: Observations, Theory, and Numerics Abstract: Geophysical flows are a rich source of novel problems for applied mathematics and the contemporary theory of partial differential equations. The reason for this is that many physical

From playlist Mathematical Perspectives on Clouds, Climate, and Tropical Meteorology

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3. Driven Harmonic Oscillators

View the complete OCW resource: http://ocw.mit.edu/resources/res-8-005-vibrations-and-waves-problem-solving-fall-2012/ Instructor: Wit Busza First, advice on how, in general, one approaches the solving of "physics problems." Then three very different oscillating systems, and how in each t

From playlist 8.03 - MIT Help Sessions by Professor Wit Busza

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2. Harmonic Oscillators with Damping

View the complete OCW resource: http://ocw.mit.edu/resources/res-8-005-vibrations-and-waves-problem-solving-fall-2012/ Instructor: Wit Busza In this session, we extend the solution of the motion of oscillators with one degree of freedom without damping to the case where damping can no lon

From playlist 8.03 - MIT Help Sessions by Professor Wit Busza

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1. Periodic Oscillations, Harmonic Oscillators

MIT 8.03SC Physics III: Vibrations and Waves, Fall 2016 View the complete course: https://ocw.mit.edu/8-03SCF16 Instructor: Yen-Jie Lee In this lecture, Prof. Lee discusses the mathematical description of the periodic oscillation and simple harmonic oscillators. The first 5 minutes are de

From playlist MIT 8.03SC Physics III: Vibrations and Waves, Fall 2016

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Why pedestrian bridges wobble: synchronisation and the wisdom of the crowd

Oxford Mathematics Public Lecture: Alan Champneys - Why pedestrian bridges wobble: synchronisation and the wisdom of the crowd. In this lecture Alan Champneys argues that Mathematics is at its best when it challenges assumptions. For example the wobbling of the Millennium Bridge in London

From playlist Oxford Mathematics Public Lectures

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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

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Mathematical Biology. 22: Subcritical Hopf

UCI Math 113B: Intro to Mathematical Modeling in Biology (Fall 2014) Lec 22. Intro to Mathematical Modeling in Biology: Subcritical Hopf View the complete course: http://ocw.uci.edu/courses/math_113b_intro_to_mathematical_modeling_in_biology.html Instructor: German A. Enciso, Ph.D. Textb

From playlist Math 113B: Mathematical Biology

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Why Pretty Much Everything is a Harmonic Oscillator

Here we discuss why the harmonic oscillator is such an important and ubiquitous system. We give a basic summary of classical mechanics and attempt to both sketch a rigorous idea and focus on the connections that can be found between systems using mathematics. 0:00 - Introduction 2:23 - Ma

From playlist Summer of Math Exposition 2 videos

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PHYS 146 Oscillations Part 3: Phasors

Video lecture for PHYS 146 at the University of Alberta. This video demonstrates that the displacement of a simple harmonic oscillator can be written down in several, mathematical equivalent ways including a rotating vector in the complex plane called a phasor. It also shows the solution f

From playlist UAlberta: PHYS 146 - Fluids and Waves with Roger Moore | CosmoLearning.org Physics

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Physics 69 Hamiltonian Mechanics (2 of 18) The Oscillator - Example 1

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the equations of a simple oscillator of a mass attached to a spring using the Hamiltonian equations. Next video in this series can be seen at: https://youtu.be/ziYJ6jQG8q8

From playlist PHYSICS 69 ADVANCED MECHANICS: HAMILTONIAN MECHANICS

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Topological space | Metric space | Continuous function | Sequence | Bounded mean oscillation | Descriptive set theory | Frequency | Classification of discontinuities | Maxima and minima | Topologist's sine curve | Limit (mathematics) | Mathematics | Function (mathematics) | Real number | Wave equation | Interval (mathematics) | Lebesgue integrability condition | Real-valued function | Grandi's series | Open set