- Видео 16
- Просмотров 86 956
Dan Gries
Добавлен 28 ноя 2012
A proof of a sequence limit
Here's one example of working through the process to come up with, and write, a proof of a stated sequence limit, using the definition of the limit.
Просмотров: 226
Видео
Rectangular RGB eye
Просмотров 1123 года назад
Red, green, and blue create additive colors when viewed from a distance, similar to the way a television or monitor works, but reimagined here with expanding rectangles.
Hexagonal RGB Eye
Просмотров 553 года назад
Red, green, and blue create additive colors when viewed from a distance, similar to the way a television or monitor works, but reimagined here with expanding hexagons. This was originally an experiment created in Adobe Flash. I've rendered it out to video to preserve it.
Traveling Spheres 2
Просмотров 1694 года назад
Six hundred spheres move between different mathematical arrangements, defined by parametric curves, parametric surfaces, or other rules.
Epsilon-Delta Part 1: Why do we do this?
Просмотров 1784 года назад
Why do calculus teachers make students write out epsilon-delta proofs for polynomial limits?
Epsilon-Delta Part 2: Backwards Reasoning
Просмотров 1254 года назад
Figuring out the details of an epsilon-delta proof requires backwards reasoning.
Epsilon-Delta Part 4: The Proof
Просмотров 1274 года назад
Now that we know how to prove this statement, we can write out a proper proof.
Epsilon-Delta Part 3: Finding Delta
Просмотров 1824 года назад
Applying some backwards reasoning to figure out what delta will work for our proof.
Computing the area of a sphere as a parametrized surface
Просмотров 1424 года назад
Assuming viewer familiarity with the integral expression for surface area of a parametrized surface, I compute the area of a sphere of radius R using this technique. Handwriting done in Krita, video captured using Screencast-O-Matic.
Area of a Parametrized Surface
Просмотров 8284 года назад
Assuming some familiarity with the calculus of parametrized curves, I work out the integral expression for the area of a parametrized surface. Graphs created in Geogebra, handwritten work created in Krita, screen capturing done with Screencast-O-Matic, and video editing done with HitFilm Express.
Parametrization of a Torus
Просмотров 20 тыс.4 года назад
Working out a parameterization of a torus. I used Geogebra for graphing, Krita to write my notes, and Screencast-O-Matic to capture the video. My apologies for the very distracting cursor animations! I forgot to change that setting.
Analyzing Beats with a Trig Identity
Просмотров 3274 года назад
When you add two sound waves together that have almost, but not quite, the same frequency, you hear something called beats. The phenomenon is best explained with a trigonometric identity.
A linear discrete dynamical system and its eigenvectors
Просмотров 11 тыс.7 лет назад
We analyze the long term behavior of a linear dynamical system by observing its associated eigenvectors.
Change of basis matrix
Просмотров 4377 лет назад
What is the matrix we use to convert coordinates from one basis to another?
Gram-Schmidt Orthogonalization
Просмотров 52 тыс.7 лет назад
The Gram-Schmidt Orthogonalization process can be used to find an orthonormal basis for a vector space, given any basis to start with.
Holy fuck this just saved me <3
HOLY UNFATHOMALY BASEEDDD
OMG THANK YOU SO MUCH
Hello, what visualization software is this?
Wow. Just wow tysm!
🤠👍
me too thank you for this video!
Its nicely explained but after i calculated eigenvalues i discover that you are wrong you round those 2 numbers, but with rounded numbers you cant get eigenvectors. I changed values of matrix to 1,5 -0,8 for rabbits and 0,3 0,5 for coyotes, after that you will have same eigenvalues and your eigenvectors will be (4 3) and (2 1).
Incredible
Great explanation. I can get the math anywhere, but your visual explanation is the best I've seen so far. Do more videos!!! :D
Well explained
Hi, I'm Saul, I'm from Argentina. I would like you to analyze when you can my method of orthogonalization. Thank you. ruclips.net/video/SX42P0w5uHQ/видео.html
THANK YOU <3333333
Exactly what i was looking for, Mr. 3B1B jr. <3
Your vedio is amazing keep on
Great explanation
In every time span may God bless you! Thanks
I have a disease, i can't learn something before understanding the logic behind it. Now thanks to you sir, i am learning this processus and never forgetting it!
same disease
@mostofatanvir595 i'd say get well soon but i know it's incurable
This was awesome
goated video, cheers!
I'm terrible at following backwards logic
That was amazing, sir!
I was struggling to understand the reason behind subtracting one additional term for each additional base vector to remove parts that are not orthogonal with Gram-Schmidt and this visual did it for me. Great!
Great, thank you very much❤
👍👍👍👍👍👍👍👍👍👍👍
Thank you Dan. This explanation is beautiful.
THANK YOU! I couldn't gasp why subtracting the proyecting would give you the desired vector, thank you sooo much
great explanation. Thank you for the help :)
ily
Wonderful explanation, this is the best video on this topic. Thank you!
wouldve loved to know what happens when you put a point directly on the line that makes the difference
I should have done that! What happens is this: when we click right on the line, we are choosing a scalar value of zero for the b1 component, so the state vector is just a scalar multiple of b2. Such an initial state leads to exponential decay and the populations both approach zero.
amazing video, deserves way more views. Thank you!
This helped a little bit but man is this stuff hard to grasp. Definitely gonna fck this up on the test.
this video made my linear algebra course bearable
wow. great explanation. thanks
thanks for the excellent explanation You are great , keep helping people
Thanks sirrrrr helped a lot!
There are hundreds of videos about Gram-Schmidt, but this is the best one that demonstrates it visually, which is imperative to understanding it intuitively. Thanks!
Wow. That was really well done! Otto's book is horrifically dense at some points, and I felt that this particular example was poorly introduced in the text. You've completely de-mystified the discrete dynamic system.
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Excellent interpretation and explanation of the process. Very intuitive!
This makes beautiful sense!! I graduated w a math degree from university - as a D student. As a software engineer, I've been going back and relearning concepts to help me visualize the digital world I'm creating and WOW, maybe I did learn something during college. Thank you for the visuals and walking us through it, it was very helpful and I was following the entire time!!
Humility is a very cool attribute.
I am doing a math phd and this was still extremely helpful. thanks
this is amazing lol
Just perfect and brief explanation what eigenvectors are in fact and great example of usage. Thank you!
This is a great video thank you
This video is 🔥🔥🔥🔥🔥🔥
Thanks to have explained this process so well!
Thanks a lot, really helped me visualize the torus.
Hey what kind of software that enable you to do that ?
amazing, thanks!
Great, thanks :D. I love internet for such a good quality education materials :)