4797 Ako, provisional designation 1989 SJ, is a stony asteroid from the inner regions of the asteroid belt, about 6 kilometers in diameter. It was discovered by the Japanese astronomers Toshiro Nomura and Kōyō Kawanishi at the Minami-Oda Observatory, Japan, on 30 September 1989.
The asteroid orbits the Sun at a distance of 2.0–2.9AU once every 3 years and 9 months (1,369 days). Its orbit shows an eccentricity of 0.18 and is tilted by 2 degrees to the plane of the ecliptic. It has a rotation period of 4.1 hours and an albedo of 0.11, according to the U.S. Wide-field Infrared Survey Explorer survey with its subsequent NEOWISE mission. However, the Collaborative Asteroid Lightcurve Link (CALL) assumes a higher albedo of 0.21, which is typical for a stony asteroid with a S-type spectrum. As a consequence, CALL calculates that the asteroid measures only 4 kilometers in diameter, as the higher the body's albedo (reflectivity), the lower its diameter for a given absolute magnitude (brightness).
The Odes (Latin:Carmina) are a collection in four books of Latin lyric poems by Horace. The Horatian ode format and style has been emulated since by other poets. Books 1 to 3 were published in 23 BC. According to the journal Quadrant, they were "unparalleled by any collection of lyric poetry produced before or after in Latin literature". A fourth book, consisting of 15 poems, was published in 13 BC.
The Odes were developed as a conscious imitation of the short lyric poetry of Greek originals - Pindar, Sappho and Alcaeus are some of Horace's models. His genius lay in applying these older forms to the social life of Rome in the age of Augustus. The Odes cover a range of subjects - Love, Friendship, Wine, Religion, Morality, Patriotism; poems of eulogy addressed to Augustus and his relations; and verses written on a miscellany of subjects and incidents, including the uncertainty of life, the cultivation of tranquility and contentment, and the observance of moderation or the "golden mean."
Odes is an album of Greek folk songs by Irene Papas and Vangelis. All of the songs are traditional, except two which are original compositions by Vangelis. Recorded in Nemo studios, London 1979, the entirety of the album is performed and produced by Vangelis, with the addition of a five-people choir in the opening track and of course, Irene Papas' lead vocals. First issue of the album on compact disc was in Greece only (Polydor 833 864-2).
A remastered edition was released by Universal Music in 2007.
Track listing
"Les 40 Braves" (Gr: Σαράντα Παλληκάρια; En: The 40 Young Men) – 5:19
"Neranzoula" (Le Petit Oranger) (Gr: Νεραντζούλα; En: The Little Orange Tree) – 5:53
"La Danse du Feu" (Gr: Ο χορός της φωτιάς; En: Dance of fire) (Original Composition) – 6:06
"Les Kolokotronei" (Gr: Οι Κολοκοτρωναίοι; En: The Kolokotronis Family) – 3:20
Karma is a popular Pakistani fashion label started by designers Kamiar Rokni and Maheen Ali in 2001. Karma is recognized as one of the rare Pakistani labels that has introduced Western-style garments, such as cocktail dresses and evening gowns, to the Pakistan.
Karma currently operates three lines of clothing: formal, bridal, and ready-to-wear. Karma Couture, the company's first line, is a made-to-order formal clothing label, with prices starting from Rs. 18,000 (approx. $300 USD). Karma Wedding is the label's bridal line, starting at Rs. 50,000 (approx. $800 USD). Karma Pink is the label's newest line, offering ready-to-wear garments ranging from Rs. 2000 to Rs. 15,000 (approx. $30 to $250 USD). Karma plans to introduce a Karma Accessories line in 2006, offering custom jewellery, bags, shoes and other accessory products.
The company's management duties were taken over in 2003 by Pakistani businessman Saad Ali (Maheen Ali's husband) who has since been the label's CEO. Karma currently employs over 200 people, and is based in Lahore, Pakistan.
The show was extended due to success in viewership ratings. The second season aired on January 14, 2013 with the episode featuring the grand revelation of Celyn being the daughter of Julio and Beatriz, while the third and final season aired on March 7, 2013 with the series opened a new chapter with a time skip focusing on the characters' young-adult stage and business rivalry.
Reddit (/ˈrɛdɪt/) is an entertainment, social news networking service, and news website where registered community members can submit content, such as text posts or direct links, making it essentially an online bulletin board system. Registered users can then vote submissions up or down to organize the posts and determine their position on the site's pages. Content entries are organized by areas of interest called "subreddits". The subreddit topics include news, gaming, movies, music, books, fitness, food, and photosharing, among many others. As of 2015, the website had 542 million monthly visitors (234 million unique users), ranking 14th most visited web-site in US and 36th in the world. Across 2015, Reddit saw 82.54 billion pageviews, 73.15 million submissions, 725.85 million comments, and 6.89 billion upvotes from its users.
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos.
Special thanks to these supporters: http://3b1b.co/de1thanks
Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM
Error correction: At 6:27, the upper equation should have g/L instead of L/g.
Steven Strogatz's NYT article on the math of love:
https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/
Interactive visualization of the example from this video, by Ilya Perederiy:
https://www.expunctis.com/2019/04/04/vtvt-another-demo.html
If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations"
Also, more Strogatz fun, you m...
published: 31 Mar 2019
4 Types of ODE's: How to Identify and Solve Them
published: 03 Feb 2016
ODES
IRENE PAPAS E VANGELIS
CD COMPLETO
published: 12 Jan 2014
Ordinary Differential Equations 1 | Introduction
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths
Or via other methods: https://thebrightsideofmathematics.com/support/
Or support me via PayPal: https://paypal.me/brightmaths
Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics
Or via Patreon: https://www.patreon.com/bsom
Watch the whole video series about ODE and download PDF versions and quizzes: https://tbsom.de/s/ode
There is also a dark mode version of this video: https://youtu.be/r2mxxC5ecFk
There is also a bright mode version of this video: https://youtu.be/pOD5oKpBP-c
To find the YouTube-Playlist, click here for the bright version: https://www.youtube.com/playlist?list=PLBh2i93oe2qtAFfLUm_dAVcTf3N9McK0U
And click here for the dark version of the playlist: https://www.youtube.com/playlist?list=PLBh2i9...
published: 13 May 2023
ODES PATHCROSS 1000 TROPHY PRO - IT'S TIME TO RIDE by NOVI MOTO CENTRUM
Some time ago we said we will take AODES PATHCROSS 1000 TROPHY PRO even further than beyond roads... now, IT'S TIME TO RIDE...
#aodes #odes #canam #polaris #cfmoto #atv #atvlife #adventure #mud #mudding #atvtrip #novimotocentrum #quady #offroad #4x4 #quadyslask
published: 24 May 2023
When can you use Series to solve ODEs? Ordinary vs Singular Points
Series solutions can often be extremely powerful for solving differential equations, particular linear homogeneous ones whose coefficients are nice, what we will describe as being analytic in this video. But when, exactly, do these apply? In this video we will dive a bit into the theory of series solutions to solve ODEs. We are going to see that there are two types of points, ordinary points and singular points. For ordinary points we get a nice theorem that says not only do we have a convergent power series solutions, but also it tells us the radius of convergence is at least as large as the distance to he nearest singular point on the complex plane.
For the first video on Series Solutions in the ODE playlist click here: https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnL...
published: 01 Jun 2020
Odes DesertCross 1000 HVAC-3 Video!!
Overview of the Odes DesertCross 1000 HVAC-3 UTV
published: 06 Jan 2023
Systems of linear first-order odes | Lecture 39 | Differential Equations for Engineers
Matrix methods to solve a system of linear first-order differential equations.
Join me on Coursera: https://imp.i384100.net/mathematics-for-engineers
Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf
Paperback book at https://www.amazon.com/dp/B0BL9X4QWN/
Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1
published: 29 Jan 2019
Odes 1000 поломка КПП🔧🔩⚙️
published: 01 Mar 2024
First order, Ordinary Differential Equations.
Contact info: [email protected] First Order, Ordinary Differential Equations solving techniques:
1- Separable Equations
2- Homogeneous Method 9:21
3- Integrating Factor 22:17
4- Exact Differential Equations 32:53
If you enjoyed this lesson and would like to support math learning community and content creator, you can buy me a coffee here https://ko-fi.com/mathbyleo
Thank you
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos...
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos.
Special thanks to these supporters: http://3b1b.co/de1thanks
Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM
Error correction: At 6:27, the upper equation should have g/L instead of L/g.
Steven Strogatz's NYT article on the math of love:
https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/
Interactive visualization of the example from this video, by Ilya Perederiy:
https://www.expunctis.com/2019/04/04/vtvt-another-demo.html
If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations"
Also, more Strogatz fun, you may enjoy his text "Nonlinear Dynamics And Chaos"
Curious about why it's called a "phase space"? You might enjoy this article:
https://www.physics.umd.edu/courses/Phys404/Anlage_Spring10/The%20TangledTaleofPhaseSpace.pdf
From a response on /r/3blue1brown, here are some interactives based on examples shown in the video:
https://observablehq.com/@tophtucker/tales-from-the-romeo-and-juliet-phase-space
https://observablehq.com/@mbostock/predator-and-prey
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Vietnamese: @ngvutuan2811
------------------
Animations made using manim, a scrappy open source python library. https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos.
Special thanks to these supporters: http://3b1b.co/de1thanks
Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM
Error correction: At 6:27, the upper equation should have g/L instead of L/g.
Steven Strogatz's NYT article on the math of love:
https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/
Interactive visualization of the example from this video, by Ilya Perederiy:
https://www.expunctis.com/2019/04/04/vtvt-another-demo.html
If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations"
Also, more Strogatz fun, you may enjoy his text "Nonlinear Dynamics And Chaos"
Curious about why it's called a "phase space"? You might enjoy this article:
https://www.physics.umd.edu/courses/Phys404/Anlage_Spring10/The%20TangledTaleofPhaseSpace.pdf
From a response on /r/3blue1brown, here are some interactives based on examples shown in the video:
https://observablehq.com/@tophtucker/tales-from-the-romeo-and-juliet-phase-space
https://observablehq.com/@mbostock/predator-and-prey
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Vietnamese: @ngvutuan2811
------------------
Animations made using manim, a scrappy open source python library. https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths
Or via other methods: https://thebrightsideofmathematics.com/support/
Or support me via...
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths
Or via other methods: https://thebrightsideofmathematics.com/support/
Or support me via PayPal: https://paypal.me/brightmaths
Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics
Or via Patreon: https://www.patreon.com/bsom
Watch the whole video series about ODE and download PDF versions and quizzes: https://tbsom.de/s/ode
There is also a dark mode version of this video: https://youtu.be/r2mxxC5ecFk
There is also a bright mode version of this video: https://youtu.be/pOD5oKpBP-c
To find the YouTube-Playlist, click here for the bright version: https://www.youtube.com/playlist?list=PLBh2i93oe2qtAFfLUm_dAVcTf3N9McK0U
And click here for the dark version of the playlist: https://www.youtube.com/playlist?list=PLBh2i93oe2qs0Wn0lFMGnKVQ1V3obH4Ah
Thanks to all supporters! They are mentioned in the credits of the video :)
This is my video series about Ordinary Differential Equations. I hope that it will help everyone who wants to learn about it.
#OrdinaryDifferentialEquations
#Orbits
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths
Or via other methods: https://thebrightsideofmathematics.com/support/
Or support me via PayPal: https://paypal.me/brightmaths
Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics
Or via Patreon: https://www.patreon.com/bsom
Watch the whole video series about ODE and download PDF versions and quizzes: https://tbsom.de/s/ode
There is also a dark mode version of this video: https://youtu.be/r2mxxC5ecFk
There is also a bright mode version of this video: https://youtu.be/pOD5oKpBP-c
To find the YouTube-Playlist, click here for the bright version: https://www.youtube.com/playlist?list=PLBh2i93oe2qtAFfLUm_dAVcTf3N9McK0U
And click here for the dark version of the playlist: https://www.youtube.com/playlist?list=PLBh2i93oe2qs0Wn0lFMGnKVQ1V3obH4Ah
Thanks to all supporters! They are mentioned in the credits of the video :)
This is my video series about Ordinary Differential Equations. I hope that it will help everyone who wants to learn about it.
#OrdinaryDifferentialEquations
#Orbits
Some time ago we said we will take AODES PATHCROSS 1000 TROPHY PRO even further than beyond roads... now, IT'S TIME TO RIDE...
#aodes #odes #canam #polaris #c...
Some time ago we said we will take AODES PATHCROSS 1000 TROPHY PRO even further than beyond roads... now, IT'S TIME TO RIDE...
#aodes #odes #canam #polaris #cfmoto #atv #atvlife #adventure #mud #mudding #atvtrip #novimotocentrum #quady #offroad #4x4 #quadyslask
Some time ago we said we will take AODES PATHCROSS 1000 TROPHY PRO even further than beyond roads... now, IT'S TIME TO RIDE...
#aodes #odes #canam #polaris #cfmoto #atv #atvlife #adventure #mud #mudding #atvtrip #novimotocentrum #quady #offroad #4x4 #quadyslask
Series solutions can often be extremely powerful for solving differential equations, particular linear homogeneous ones whose coefficients are nice, what we wil...
Series solutions can often be extremely powerful for solving differential equations, particular linear homogeneous ones whose coefficients are nice, what we will describe as being analytic in this video. But when, exactly, do these apply? In this video we will dive a bit into the theory of series solutions to solve ODEs. We are going to see that there are two types of points, ordinary points and singular points. For ordinary points we get a nice theorem that says not only do we have a convergent power series solutions, but also it tells us the radius of convergence is at least as large as the distance to he nearest singular point on the complex plane.
For the first video on Series Solutions in the ODE playlist click here: https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1&index=14
****************************************************
Other Course Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS III: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
***************************************************
► Want to learn math effectively? Check out my "Learning Math" Series:
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Want some cool math? Check out my "Cool Math" Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
****************************************************
►Follow me on Twitter: http://twitter.com/treforbazett
*****************************************************
This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria. BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
Series solutions can often be extremely powerful for solving differential equations, particular linear homogeneous ones whose coefficients are nice, what we will describe as being analytic in this video. But when, exactly, do these apply? In this video we will dive a bit into the theory of series solutions to solve ODEs. We are going to see that there are two types of points, ordinary points and singular points. For ordinary points we get a nice theorem that says not only do we have a convergent power series solutions, but also it tells us the radius of convergence is at least as large as the distance to he nearest singular point on the complex plane.
For the first video on Series Solutions in the ODE playlist click here: https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1&index=14
****************************************************
Other Course Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS III: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
***************************************************
► Want to learn math effectively? Check out my "Learning Math" Series:
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Want some cool math? Check out my "Cool Math" Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
****************************************************
►Follow me on Twitter: http://twitter.com/treforbazett
*****************************************************
This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria. BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
Matrix methods to solve a system of linear first-order differential equations.
Join me on Coursera: https://imp.i384100.net/mathematics-for-engineers
Lecture ...
Matrix methods to solve a system of linear first-order differential equations.
Join me on Coursera: https://imp.i384100.net/mathematics-for-engineers
Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf
Paperback book at https://www.amazon.com/dp/B0BL9X4QWN/
Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1
Matrix methods to solve a system of linear first-order differential equations.
Join me on Coursera: https://imp.i384100.net/mathematics-for-engineers
Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf
Paperback book at https://www.amazon.com/dp/B0BL9X4QWN/
Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1
Contact info: [email protected] First Order, Ordinary Differential Equations solving techniques:
1- Separable Equations
2- Homogeneous Method 9:21
3- Integrating Factor 22:17
4- Exact Differential Equations 32:53
If you enjoyed this lesson and would like to support math learning community and content creator, you can buy me a coffee here https://ko-fi.com/mathbyleo
Thank you
Contact info: [email protected] First Order, Ordinary Differential Equations solving techniques:
1- Separable Equations
2- Homogeneous Method 9:21
3- Integrating Factor 22:17
4- Exact Differential Equations 32:53
If you enjoyed this lesson and would like to support math learning community and content creator, you can buy me a coffee here https://ko-fi.com/mathbyleo
Thank you
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos.
Special thanks to these supporters: http://3b1b.co/de1thanks
Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM
Error correction: At 6:27, the upper equation should have g/L instead of L/g.
Steven Strogatz's NYT article on the math of love:
https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/
Interactive visualization of the example from this video, by Ilya Perederiy:
https://www.expunctis.com/2019/04/04/vtvt-another-demo.html
If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations"
Also, more Strogatz fun, you may enjoy his text "Nonlinear Dynamics And Chaos"
Curious about why it's called a "phase space"? You might enjoy this article:
https://www.physics.umd.edu/courses/Phys404/Anlage_Spring10/The%20TangledTaleofPhaseSpace.pdf
From a response on /r/3blue1brown, here are some interactives based on examples shown in the video:
https://observablehq.com/@tophtucker/tales-from-the-romeo-and-juliet-phase-space
https://observablehq.com/@mbostock/predator-and-prey
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Vietnamese: @ngvutuan2811
------------------
Animations made using manim, a scrappy open source python library. https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
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This is my video series about Ordinary Differential Equations. I hope that it will help everyone who wants to learn about it.
#OrdinaryDifferentialEquations
#Orbits
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Series solutions can often be extremely powerful for solving differential equations, particular linear homogeneous ones whose coefficients are nice, what we will describe as being analytic in this video. But when, exactly, do these apply? In this video we will dive a bit into the theory of series solutions to solve ODEs. We are going to see that there are two types of points, ordinary points and singular points. For ordinary points we get a nice theorem that says not only do we have a convergent power series solutions, but also it tells us the radius of convergence is at least as large as the distance to he nearest singular point on the complex plane.
For the first video on Series Solutions in the ODE playlist click here: https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1&index=14
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Other Course Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS III: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
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► Want to learn math effectively? Check out my "Learning Math" Series:
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►Want some cool math? Check out my "Cool Math" Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
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This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria. BECOME A MEMBER:
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Matrix methods to solve a system of linear first-order differential equations.
Join me on Coursera: https://imp.i384100.net/mathematics-for-engineers
Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf
Paperback book at https://www.amazon.com/dp/B0BL9X4QWN/
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Contact info: [email protected] First Order, Ordinary Differential Equations solving techniques:
1- Separable Equations
2- Homogeneous Method 9:21
3- Integrating Factor 22:17
4- Exact Differential Equations 32:53
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Thank you
4797 Ako, provisional designation 1989 SJ, is a stony asteroid from the inner regions of the asteroid belt, about 6 kilometers in diameter. It was discovered by the Japanese astronomers Toshiro Nomura and Kōyō Kawanishi at the Minami-Oda Observatory, Japan, on 30 September 1989.
The asteroid orbits the Sun at a distance of 2.0–2.9AU once every 3 years and 9 months (1,369 days). Its orbit shows an eccentricity of 0.18 and is tilted by 2 degrees to the plane of the ecliptic. It has a rotation period of 4.1 hours and an albedo of 0.11, according to the U.S. Wide-field Infrared Survey Explorer survey with its subsequent NEOWISE mission. However, the Collaborative Asteroid Lightcurve Link (CALL) assumes a higher albedo of 0.21, which is typical for a stony asteroid with a S-type spectrum. As a consequence, CALL calculates that the asteroid measures only 4 kilometers in diameter, as the higher the body's albedo (reflectivity), the lower its diameter for a given absolute magnitude (brightness).