- published: 17 Jan 2008
- views: 38184
- author: MIT
50:25
Lec 27 | MIT 18.03 Differential Equations, Spring 2006
Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients View the c...
published: 17 Jan 2008
author: MIT
Lec 27 | MIT 18.03 Differential Equations, Spring 2006
Lec 27 | MIT 18.03 Differential Equations, Spring 2006
Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients View the complete course: http://ocw.mit.edu/18-03S06 License: Creative Commo...- published: 17 Jan 2008
- views: 38184
- author: MIT
7:27
Linearizing non-linear dynamic equations
In this lecture, we go through the steps of linearizing non-linear differential equations ...
published: 25 Sep 2012
author: rmjds
Linearizing non-linear dynamic equations
Linearizing non-linear dynamic equations
In this lecture, we go through the steps of linearizing non-linear differential equations about a given operating/equilibrium point. We will use the multi-va...- published: 25 Sep 2012
- views: 2781
- author: rmjds
56:46
Multiagent Dynamical Systems
I will show how to model multiagent systems using dynamical systems theory by deriving a c...
published: 04 May 2012
author: Bill Broadley
Multiagent Dynamical Systems
Multiagent Dynamical Systems
I will show how to model multiagent systems using dynamical systems theory by deriving a class of macroscopic differential equations that describe mutual ada...- published: 04 May 2012
- views: 397
- author: Bill Broadley
5:24
4_8_1 Systems of linear differential equations
A first look at systems of linear ordinary differential equations. This video includes a s...
published: 19 Jun 2013
author: Juan Klopper
4_8_1 Systems of linear differential equations
4_8_1 Systems of linear differential equations
A first look at systems of linear ordinary differential equations. This video includes a solved sample problem.- published: 19 Jun 2013
- author: Juan Klopper
39:44
Mythily Ramaswamy - Control of Differential Equations
PROGRAM: RECENT TRENDS IN ERGODIC THEORY AND DYNAMICAL SYSTEMS
DATES: Tuesday 18 Dec, 2012...
published: 08 Oct 2013
Mythily Ramaswamy - Control of Differential Equations
Mythily Ramaswamy - Control of Differential Equations
PROGRAM: RECENT TRENDS IN ERGODIC THEORY AND DYNAMICAL SYSTEMS DATES: Tuesday 18 Dec, 2012 - Saturday 29 Dec, 2012 VENUE: Department of Mathematics,Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara PROGRAM LINK: http://www.icts.res.in/program/ETDS2012 DESCRIPTION: "Dynamical Systems" is an exciting and very active field in mathematics that involves tools and techniques from many areas. A dynamical system can be obtained by iterating a function or letting evolve in time the solution of an equation. Even if the rule of evolution is deterministic, the long term behavior of the system is often chaotic. Different branches of "Dynamical Systems", in particular "Ergodic Theory", provide tools to quantify this chaotic behavior of the system and to predict it in an average. This program has been planned in two parts: 7 day Workshop (Dec 18-24, 2012) followed by 4 day Discussion Meeting (Dec 26-29, 2012). The aim is to bring together on one platform experts from around the world who are actively working in various sub-disciplines of Dynamical Systems. An important aspect of the program will be an emphasis on making it accessible to younger participants. The workshop will begin with lectures on basic Ergodic Theory followed by lectures on Topological Dynamics, Differentiable Dynamics and Symbolic Dynamics, including Cellular Automata. It will have a `problem and discussion' session every day. Many researchers from across the globe will be discussing their celebrated works in Ergodic Theory, Dynamical Systems and related areas during the four days of the Discussion Meeting. We will encourage young participants to present a short communication on their work in the presence of the eminent experts during the program.- published: 08 Oct 2013
- views: 1
9:40
Taxonomy of Dynamic Systems
An overview of the ways to classify dynamic systems (differential equations) based on cont...
published: 03 Jul 2013
author: Eric Mehiel
Taxonomy of Dynamic Systems
Taxonomy of Dynamic Systems
An overview of the ways to classify dynamic systems (differential equations) based on continuity, linearity and time variance.- published: 03 Jul 2013
- views: 50
- author: Eric Mehiel
65:34
System Dynamics and Control: Module 3 - Mathematical Modeling Part I
Discussion of differential equations as a representation of dynamic systems. Introduction ...
published: 18 Aug 2013
System Dynamics and Control: Module 3 - Mathematical Modeling Part I
System Dynamics and Control: Module 3 - Mathematical Modeling Part I
Discussion of differential equations as a representation of dynamic systems. Introduction to the Laplace Transform as a tool for solving differential equations.- published: 18 Aug 2013
- views: 4
48:25
Differential Equations: The Exponential Map Perspective - Lecture 1
The first in a series of lectures which will examine differential equations from the persp...
published: 06 Sep 2013
Differential Equations: The Exponential Map Perspective - Lecture 1
Differential Equations: The Exponential Map Perspective - Lecture 1
The first in a series of lectures which will examine differential equations from the perspective of the exponential map. The first lecture starts by considering real exponents, where several key exponent properties are assumed to be true for ALL REAL NUMBERS (this was not made clear in the lecture). From there, we derive several basic exponent properties that we know from basic algebra. We begin to study Taylor series, and will eventually define complex exponents using the exponential function. This will serve as a spring-board towards demonstrating the importance of the exponential function in mathematics, and the ideas will be used later on when we talk about the exponential of a matrix. Differential equations, matrix theory, dynamical systems, exponential map, exponents, complex numbers, Taylor series, taylor polynomials, sequences, series, vector field, equilibrium, linearization, stable manifold, unstable manifold. This lecture occurred on Sept. 5th, 2013.- published: 06 Sep 2013
- views: 17
37:29
Differential Equations: The Exponential Map Perspective - Lecture 9
The ninth in a series of lectures which will examine differential equations from the persp...
published: 16 Nov 2013
Differential Equations: The Exponential Map Perspective - Lecture 9
Differential Equations: The Exponential Map Perspective - Lecture 9
The ninth in a series of lectures which will examine differential equations from the perspective of the exponential map. The ninth lecture discusses coordinates, and change of basis. We are moving towards the Jordan Normal Form. The Jordan Normal Form puts a matrix into a form which is extremely easy to exponentiate. Differential equations, matrix theory, dynamical systems, exponential map, exponents, complex numbers, Taylor series, taylor polynomials, sequences, series, vector field, equilibrium, linearization, stable manifold, unstable manifold.- published: 16 Nov 2013
- views: 4
53:31
Logical Analysis of Hybrid Systems
RI Seminar, February 18, 2011 Andre Platzer Assistant Professor, Computer Science Departme...
published: 17 Mar 2011
author: cmurobotics
Logical Analysis of Hybrid Systems
Logical Analysis of Hybrid Systems
RI Seminar, February 18, 2011 Andre Platzer Assistant Professor, Computer Science Department, Carnegie Mellon University Hybrid systems model cyber-physical ...- published: 17 Mar 2011
- views: 703
- author: cmurobotics
9:01
State Space Representation ( Dynamic Systems ) | Mechanical Engineering
State Space Representation Dynamic Systems....
published: 03 Aug 2011
author: 4DSCIENCE
State Space Representation ( Dynamic Systems ) | Mechanical Engineering
State Space Representation ( Dynamic Systems ) | Mechanical Engineering
State Space Representation Dynamic Systems.- published: 03 Aug 2011
- views: 14262
- author: 4DSCIENCE
26:06
Differential Equations, The Exponential Map Perspective - Lecture 8
The eighth in a series of lectures which will examine differential equations from the pers...
published: 09 Nov 2013
Differential Equations, The Exponential Map Perspective - Lecture 8
Differential Equations, The Exponential Map Perspective - Lecture 8
The eighth in a series of lectures which will examine differential equations from the perspective of the exponential map. The eighth lecture discusses eigenvalues and eigenvectors. We are moving towards the Jordan Normal Form. The Jordan Normal Form puts a matrix into a form which is extremely easy to exponentiate. Differential equations, matrix theory, dynamical systems, exponential map, exponents, complex numbers, Taylor series, taylor polynomials, sequences, series, vector field, equilibrium, linearization, stable manifold, unstable manifold.- published: 09 Nov 2013
- views: 4
3:55
Modeling and control of dynamic systems - From electric vehicles to systems biology : Adachi's Group
At the Adachi Laboratory, the theme of research is modeling and control. Control means act...
published: 21 Feb 2010
author: keiouniversity
Modeling and control of dynamic systems - From electric vehicles to systems biology : Adachi's Group
Modeling and control of dynamic systems - From electric vehicles to systems biology : Adachi's Group
At the Adachi Laboratory, the theme of research is modeling and control. Control means actively changing a systems dynamics in a desired way. Control is util...- published: 21 Feb 2010
- views: 3887
- author: keiouniversity
Vimeo results:
4:11
Midnight Sun | Iceland
BEST VIEWED IN HD AND FULLSCREEN (with scaling off)
Midnight Sun: A natural phenomenon oc...
published: 15 Oct 2011
author: SCIENTIFANTASTIC
Midnight Sun | Iceland
BEST VIEWED IN HD AND FULLSCREEN (with scaling off)
Midnight Sun: A natural phenomenon occurring in the summer months north of the Arctic Circle and south of the Antarctic Circle where the sun never fully sets and remains visible 24 hours a day.
This short time lapse film was shot during the Icelandic Midnight Sun in June of 2011.
For 17 days I travelled solo around the entire island shooting almost 24 hours, sleeping in the car, and eating whenever I had the time. During my days shooting this film I shot 38,000 images, travelled some 2900 miles, and saw some of the most amazing, beautiful, and indescribable landscapes on the planet. Iceland is absolutely one of the most beautiful and unusual places you could ever imagine. Especially during the Midnight Sun when the quality of light hitting the landscape is very unusual, and very spectacular.
Iceland is a landscape photographers paradise and playground, and should be number 1 on every photographers must visit list. Iceland during the Midnight Sun is in sort of a permanent state of sunset. The sun never full sets and travels horizontally across the horizon throughout the night, as can be seen in the opening shot and at the :51 second mark in the video.
During the Arctic summer, sunset was at midnight and sunrise was at 3am. The Arctic summer sun provided 24 hours a day of light, with as much as 6 hours daily of "Golden light". Once the sun had set it wouldn't even get dark enough for the stars to come out, and they don't start to reappear until August.
My advice to everyone out there, photographer or not, is simple... You MUST visit Iceland sometime during your lifetime. You will never regret it.
Interview with Michael Levy Studio about the film:
http://www.michaellevystudio.com/midnight-sun-an-icelandic-timelapse-by-joe-capra/
PRINTS AVAILABLE: http://shop.scientifantastic.com/
If you want to follow my future photographic events you can find me at:
Google+ (http://gplus.to/scientifantastic)
Twitter (http://www.twitter.com/scientifantasti)
Vimeo (http://www.vimeo.com/scientifantastic)
Facebook (http://www.facebook.com/pages/Scientifantastic/163137190447579)
500px (http://500px.com/scientifantastic)
GEAR
Motion Control System:
The motion controlled shots in this film were shot using the Stage Zero dolly system made by Dynamic Perception (http://dynamicperception.com/)
Cameras and Lenses:
2 Canon 5DII DSLR cameras
1 Canon 7D
Various Canon lenses
Music by This Will Destroy You
Song: "The World is Our"
Website: http://www.myspace.com/thiswilldestroyyou
Buy It on iTunes: http://itun.es/iBv9NS
Special Thanks to:
REYKJAVIK RENT A CAR (http://www.reykjavikrentacar.is/)
Dynamic Perception (http://www.dynamicperception.com/)
Jag35 (http://www.jag35.com/)
Kessler Crane (http://www.kesslercrane.com/)
LRTimelapse (http://www.lrtimelapse.com)
Timescapes (http://www.timescapes.org)
Michael Levy Studio (www.international-photographer.com) for his Icelandic eROADBOOK
(http://www.international-photographer.com/_roadtrips/iceland_2009/iceland_days_index.htm)
5:03
Adventure Is Calling
This summer, two friends and myself all left our comfortable jobs of six years to spend tw...
published: 13 Oct 2013
author: Shane Black
Adventure Is Calling
This summer, two friends and myself all left our comfortable jobs of six years to spend two months traveling across the country and teaching photography workshops along the way. We all felt that it was time to take a risk and get out of our comfort zones... adventure was calling us. It was a trip filled with endless hours cooped up in a van, exploring breathtaking landscapes, sharing stories and laughs, meeting some of the nicest people, making new friends, getting to meet old friends from around the country, and sharing our love of photography with others.
This trip was a constant test for me, as we had such short and limited time in nearly all of the spots we visited. In most cases, I'd have to hurry out of the van with all of my gear and find a decent composition in a very short amount of time as soon as we would arrive at the location. It was a constant race against the light.
During those 2 months, we traveled across 32 states , visited 13 national and state parks, and drove nearly 13,000 miles in a (somewhat) trusty old Dodge Caravan... with no cruise control. It was an adventure that gave us many memories that we will all hold onto for many years to come. I think that everybody needs to take a trip and have their eyes opened to just how beautiful this world is and how much is really out there.
A big thanks to Coca-Cola and Flickr for helping to sponsor our trip. Thanks also to everyone else that donated, attended our workshops, and gave us places to stay!
Music:
'Signaling Through The Flames' by 'The American Dollar'
http://www.facebook.com/theamericandollar
Download a free compilation of 9 of their best tracks here: http://tinyurl.com/freeAMD
119 Song Discography in Any Format just $20 @ http://bit.ly/XiwDFs
Motion Control System:
Dynamic Perception Stage Zero Dolly http://www.dynamicperception.com/
Vixen Polarie Star Tracker (used for slow panning)
Camera Gear:
Canon 5DMKII
Canon 5DMKIII
Canon 24LII
Canon 16-35LII
Canon 70-200L ISII
Canon 85L
Nikon 14-24 f2.8
Lee Filters
Manfrotto Tripods
Processing:
Adobe Lightroom 4
LRTimelapse
Adobe After Effects
You can find more of my work at:
Website: http://shaneblackphoto.com
Facebook: www.facebook.com/shaneblackphotography
Flickr: http://www.flickr.com/photos/shaneblack/
500px: http://500px.com/shaneblack
Instagram: @shanemichaelblack
Email: shaneblack300@gmail.com - digital downloads are available upon request.
1:10
Namibian Nights
It's not easy to come up with something new when you visit the same place every year for m...
published: 10 Jan 2013
author: Squiver
Namibian Nights
It's not easy to come up with something new when you visit the same place every year for more than a decade. Over the years Marsel has created the most extensive and most popular night photography portfolio of Namibia on this planet, and two years ago he decided it was time to take it to the next level.
The idea was to create a night photography timelapse video featuring his most popular subjects in this amazing country: the fairytale-like quivertrees and the eery, dead camelthorn trees in Deadvlei - something that had never been done before. But instead of going for static scenes, Marsel decided to add movement to the scenes by using a dolly system.
All scenes were shot during the night with Nikon D3, D3s and D4 cameras. We used small headlights for selectively lighting trees and rocks, and we sometimes used the moon. The brighter the scene, the more moon there was at the time. For the arch scene we timed our shoot exactly with moonset, which involved quite a bit of calculating and planning. But the hardest one of all was probably the mist scene in Deadvlei. Mist in Deadvlei only occurs around five times a year, so we had to keep a close eye on the weather predictions and many attempts were unsuccessful. When we finally got it right, the results far exceeded our expectations and show Deadvlei as no one has ever seen it before.
Each second of video consists of 30 photographs. In total, Marsel shot more than 16,000 images over a period of two years for this project.
The video won First Prize in the 2012 Travel Photographer Of The Year Awards.
Marsel & Daniella
Credits:
Director: Marsel van Oosten
Editor: Daniella Sibbing
Composer: Simon Wilkinson
Produced by: Squiver
Equipment used:
Cameras: Nikon D3, D3s and D4
Lenses: Nikon 14-24/2.8 and 24-70/2.8
Tripods: Gitzo
Dolly: Stage Zero, Dynamic Perception
Follow us on Twitter: https://twitter.com/Squiver
Follow us on Facebook: https://www.facebook.com/marselvanoostenphotography
2:47
Passing Through
Passing Through by
Kristian Ulrich Larsen http://www.idkul.com and Olafur Haraldsson http:...
published: 17 Jun 2012
author: Olafur Haraldsson
Passing Through
Passing Through by
Kristian Ulrich Larsen http://www.idkul.com and Olafur Haraldsson http://olihar.com
.
How to watch?
Full-Screen.
Max volume.
Enjoy.
Think.
.
Shooting location:
Iceland
.
Music:
Division - Moby
http://www.mobygratis.com/
.
Narration:
Frank Stubbs
.
Sound editing:
Yossi Karutchi
.
Consulting:
Mette Mikkelsen
Niels Peter Skou
Barnabas Wetton
Kolding School of Design
.
The text used for the narration of “Passing Through” is part of a speech Serbian scientist and inventor
Nicola Tesla delivered in 1893 at the Franklin Institute in Philadelphia. Though today less known than
figures like Edison and Einstein, Tesla was more or less the father of much of our modern technology, since
he among other things developed the foundations of the European electrical system based on alternating
currents and the principles of wireless radio communication.
At the time he was deeply influenced by the Austrian physicist and philosopher Ernst Mach, believing
that the world should be conceived as a whole where everything is interconnected influencing each
other. And that energy is a force that runs through everything be it inorganic matter, organisms or human
consciousness. According to this line of thought every single action has universal consequences, not unlike
what the father of modern chaos theory Edward Lorenz in the 1960’s termed ‘the butterfly effect’.
.
“Passing Through” is made at Kolding School of Design in connection to the Danish iPower-project.
To learn more about the iPower-project go to http://www.designskolenkolding.dk/index.php?id=4052 or www.ipower-net.dk.
.
Narration text:
"Like a wave in the physical world, in the infinite ocean of the medium which pervades all, so in the world of organisms, in life, an impulse started proceeds onward, at times, may be, with the speed of light, at times, again, so slowly that for ages and ages it seems to stay, passing through processes of a complexity inconceivable to men, but in all its forms, in all its stages, its energy ever and ever integrally present.
A single ray of light from a distant star falling upon the eye of a tyrant in bygone times may have altered the course of his life, may have changed the destiny of nations, may have transformed the surface of the globe, so intricate, so inconceivably complex are the processes in Nature. In no way can we get such an overwhelming idea of the grandeur of Nature than when we consider, that in accordance with the law of the conservation of energy, throughout the Infinite, the forces are in a perfect balance, and hence the energy of a single thought may determine the motion of a universe.”
Nikola Tesla "The Electrical Review, 1893"
.
Come and join the Sustainable Energy Facebook page.
http://www.facebook.com/sustainablee
.
Gear:
Dynamic Perception Stage Zero
http://dynamicperception.com/
.
Canon 5D Mark II with various lenses.
Youtube results:
6:07
Equation of Tangent Plane to a Surface at a Point Example #1
I hope you found this video useful, please subscribe for daily videos! WBM Foundations: Ma...
published: 12 Apr 2013
author: WelshBeastMaths
Equation of Tangent Plane to a Surface at a Point Example #1
Equation of Tangent Plane to a Surface at a Point Example #1
I hope you found this video useful, please subscribe for daily videos! WBM Foundations: Mathematical logic Set theory Algebra: Number theory Group theory Lie...- published: 12 Apr 2013
- views: 154
- author: WelshBeastMaths
101:13
Dynamical Systems
Mathematics of Complexity lecture 3 Class description: We've all heard the buzzwords - cha...
published: 27 Oct 2012
author: Stanford Complexity Group
Dynamical Systems
Dynamical Systems
Mathematics of Complexity lecture 3 Class description: We've all heard the buzzwords - chaos, fractals, networks, power laws. What do these terms mean in a r...- published: 27 Oct 2012
- views: 665
- author: Stanford Complexity Group
53:18
Lecture 3
The third in a series of lectures which will examine differential equations from the persp...
published: 21 Sep 2013
Lecture 3
Lecture 3
The third in a series of lectures which will examine differential equations from the perspective of the exponential map. The third lecture develops the complex logarithm. This will serve as a spring-board towards demonstrating the importance of the exponential function in mathematics, and the ideas will be used later on when we talk about the exponential of a matrix. Differential equations, matrix theory, dynamical systems, exponential map, exponents, complex numbers, Taylor series, taylor polynomials, sequences, series, vector field, equilibrium, linearization, stable manifold, unstable manifold. This lecture occurred on Sept. 19th, 2013.- published: 21 Sep 2013
- views: 6
