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Lyte Lectures
United States
เข้าร่วมเมื่อ 2 ม.ค. 2021
Lyte Lectures is a TH-cam channel that seeks to communicate complex ideas in an accessible and perhaps even artful manner.
On Differential Equations
An introduction to differential equations and associated numerical methods.
Chapters:
0:00 Open
0:07 Definition
1:22 Blobs
2:46 Slope Field
3:47 Euler's Method
4:24 Python Implementation
4:27 Error
5:00 Adaptive Method
5:24 Huen's Method
6:13 RK4
7:15 Integration Perspective
8:15 Taylor Polynomials
10:12 Separation of Variables
11:00 Exact
12:16 Partial Derivatives
12:54 Striking Similarity
13:21 Clairaut theorem
14:17 Solution Method
14:54 Thanks For Watching
Music Used:
Patrick Patrikios - Feels
GameChops - Route 113
GameChops - Pokémon League
GameChops - Lavender Town
Corrections:
At 7:50, the f(x) should be replaced with f'(x). We are integrating the blue curve from a to b to find the change in the red curve from a to b.
Helpful Resources:
brilliant.org/wiki/differential-equations-formulate-a-statement/
www.johndcook.com/blog/2020/02/13/runge-kutta-methods/
www.phys.uconn.edu/~rozman/Courses/m3510_17f/downloads/runge-kutta.pdf
Citations:
The Manim Community Developers. (2022). Manim - Mathematical Animation Framework (Version v0.16.0) [Computer software]. www.manim.community/
Tags: Differential Equations, Euler's Method, Huen's Method, RK4, Taylor Series, Separation of Variables, Exactness, Clairaut Theorem
Chapters:
0:00 Open
0:07 Definition
1:22 Blobs
2:46 Slope Field
3:47 Euler's Method
4:24 Python Implementation
4:27 Error
5:00 Adaptive Method
5:24 Huen's Method
6:13 RK4
7:15 Integration Perspective
8:15 Taylor Polynomials
10:12 Separation of Variables
11:00 Exact
12:16 Partial Derivatives
12:54 Striking Similarity
13:21 Clairaut theorem
14:17 Solution Method
14:54 Thanks For Watching
Music Used:
Patrick Patrikios - Feels
GameChops - Route 113
GameChops - Pokémon League
GameChops - Lavender Town
Corrections:
At 7:50, the f(x) should be replaced with f'(x). We are integrating the blue curve from a to b to find the change in the red curve from a to b.
Helpful Resources:
brilliant.org/wiki/differential-equations-formulate-a-statement/
www.johndcook.com/blog/2020/02/13/runge-kutta-methods/
www.phys.uconn.edu/~rozman/Courses/m3510_17f/downloads/runge-kutta.pdf
Citations:
The Manim Community Developers. (2022). Manim - Mathematical Animation Framework (Version v0.16.0) [Computer software]. www.manim.community/
Tags: Differential Equations, Euler's Method, Huen's Method, RK4, Taylor Series, Separation of Variables, Exactness, Clairaut Theorem
มุมมอง: 1 761
วีดีโอ
Bits, Gates, and Matrices | Quantum Computing Part 1 #SoME2
มุมมอง 28K2 ปีที่แล้ว
An introduction to quantum computing. Chapters: 00:00 Introduction 01:07 The Bit 04:03 Logic Gates 05:54 Linear Algebra 11:21 Matrix Representation 12:46 Credits Music Used: Patrick Patrikios - Feels GameChops - Route 113 GameChops - Pokémon League Data Sources: Moore’s Law - ourworldindata.org/grapher/transistors-per-microprocessor Google Trends - trends.google.com/trends/explore?date=2010-06-...
still patiently waiting for a part 2
PLEASE REQUESTING SECOND PART! AMAZING STUFF
At the end of this video I was like why the hell this channel wasn't on my subscription list since the beginning of my life ?!
That is genuinely a contendor for the best educational video I've ever seen. Insane that you guys don't have more subscribers. I'm a biologist who's only just started learning matrix algebra and this all made sense to me, and I'm excited to learn more. Thank you for making these videos, they're incredibly helpful.
No. It's best to start from the general and then get down to the detailed, not the reverse as it seems the case here. I would have liked to see for a video entitled "quantum computing part 1" to see general introduction (brief) about what a quantum computer is, what are Qubits (both physically and mathematically) and then down to the gates - also not only the mathematics of quantum gates but also you have to explain the physics of it. I still have to see one video about quantum computing that isn't either too generic where the Creator doesn't know what he's talking about (or maybe he knows some bits and pieces but doesn't know how to communicate them effectively) or somebody who goes into programming or math details but doesn't understand the physics. Sigh.
Brilliant Introduction Keep spreading knowledge.
Fantastic video. I would have struggled with it if I happened upon it when I first started learning about quantum computing/quantum information. But for an intermediate - this is a fantastic review. Looking forward to watching the rest of this series. Definitely a subscriber!
damn i was really hoping there'd be a second part to this :(
PLEASE post part 2
Still waiting for next episode 😝
Now this is nasty. I want the rest !!😑😑
Im the freshest comment
Great video, sad that part two was never posted
very cool
I read the title "Bill Gates and Matrices".
Absuletley incredible video! Amazing Job! I have a few quastions. Did you learn manim all by yourself, or did you watch some tutorials that you would recommend? How many hours of work did it take you to prepar the video? Did you record the audio in advance?
I more or less learned manim myself. There are a number of helpful examples in the documentation. 3b1b's code is also helpful. This video probably took about about 25 hours from start to finish. The scene with the "blobs" was particularly difficult to set-up. I didn't record audio in advance. In my experience, frequent revisions are needed from the original script for cohesion or illustrative purposes. That would mean re-doing a lot of audio which is rather time-consuming.
👍👍
Your channel is amazing, right up there with Reducible and Science Clic and Mathemaniac. Can't wait to see where you go with it!
Great video and probably the best intro to numeric ode methods on yt.
Damnit great video but I am too dumb to follow it through to the end. Differential equations are hard!
Beautiful video but I noticed that you made a mistake on 7:49. You should put f' inside the integral not just f. Your content is amazing, keep it up. Can't wait for the next video
Thanks for the catch! I’ll add the correction to the description and subtitles.
Wait, since it's a vector, then it can have inputs other than［1 0］or［0 1］ Does that mean we can have 1/2 true and 1/2 false inputs? Or even 3/4 true and 1/4 false, etc?
Great job ! Looking forward to see next video
great! waiting for next part.
I can't wait for the rest of the videos in this series!
Bruh, what a cliff hanger.
nice, first glimpse of eye on title I read "Bill Gates and Matrons" :D.
Matrix
Unfortunately, I feel like you didn't really explain Quantum computing at all. You covered a lot of other things important to classical computing, which I assume will lead into Q bits in Part 2. But I find it kinda dissapointing that it wasn't covered much at all.
bro, more! please i cannot wait!
Can someone explain to me why the product of the vectors at 7:40 is not (1,0)? I don't follow.
That is an error on our part. I even ended up animating it so the green arrow got stretched enough to make it wrong. Thanks for the catch!
Interesting approach, i really want to watch were this goes
Nothing faster than me hitting the subscribe button
This is really good! I'm excited to watch part 2.
2 month later - where is part 2 ?
@@dmitry1976yt years later, where is part 2?
Good video. 23/08/22
I am really looking forward to the next episode (and the rest of the series), please do make it!
Keep goin
great video!
Really, really nice. You have a gift for clear exposition. Looking forward to more! Thanks.
This was great, can't wait for more.
0:19 wow, never heard before that moore's law was log-linear. if it's correct, then thanks a lot for mentioning it.
It is! We included our data-sources in the description so feel free to check them out for yourself.
great stuff, looking forward for the next one
Too bad the elocutionist is a dud. :| I'd have listened to the content otherwise.
I'm very excited for the next video!
Robio1881198177
6:11 ah yes for us math people vectors aren't arrows or lists of numbers, a vector is simply an element of a vector space anyway, can't wait for the next parts!
Amazing vid! Keep up the good work man! Looking forward to future videos!
This is going to be a masterpiece.
Oooh interesting, looking forward to more