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SigFyg
เข้าร่วมเมื่อ 16 ม.ค. 2021
SigFyg = Significant Fygures
Visit my website: sigfyg.github.io/sigfyg/
Visit my website: sigfyg.github.io/sigfyg/
You've never seen imaginary numbers like this before
#some2
The material in this video is heavily inspired by Norman Wildberger's TH-cam Channel.
Go check it out!
th-cam.com/users/njwildbergerfeatured
0:00 Intro
1:23 2D symmetries
3:00 Matrix representation
5:04 Field
6:24 Quadratic Forms
8:34 Dot Product
11:20 Determinant
13:17 Complex Multiplication
14:54 Conics
More material:
Why reflection doesn’t make a field:
en.wikipedia.org/wiki/Split-complex_number
Matrix Representation of Conics
en.wikipedia.org/wiki/Matrix_representation_of_conic_sections
Cauchy Riemann equations
en.wikipedia.org/wiki/Cauchy%E2%80%93Riemann_equations
Brahmagupta-Fibonacci Identity
en.wikipedia.org/wiki/Brahmagupta%E2%80%93Fibonacci_identity
Hurwitz Problem
en.wikipedia.org/wiki/Hurwitz_problem
Binet-Cauchy Identity
en.wikipedia.org/wiki/Binet%E2%80%93Cauchy_identity
Music:
Welcome to Mafia Town - Pascal Michael Stiefel
Process - Tsutchie
Pushing Onwards - Magnus Pålsson
Fractal - Whitebat
The material in this video is heavily inspired by Norman Wildberger's TH-cam Channel.
Go check it out!
th-cam.com/users/njwildbergerfeatured
0:00 Intro
1:23 2D symmetries
3:00 Matrix representation
5:04 Field
6:24 Quadratic Forms
8:34 Dot Product
11:20 Determinant
13:17 Complex Multiplication
14:54 Conics
More material:
Why reflection doesn’t make a field:
en.wikipedia.org/wiki/Split-complex_number
Matrix Representation of Conics
en.wikipedia.org/wiki/Matrix_representation_of_conic_sections
Cauchy Riemann equations
en.wikipedia.org/wiki/Cauchy%E2%80%93Riemann_equations
Brahmagupta-Fibonacci Identity
en.wikipedia.org/wiki/Brahmagupta%E2%80%93Fibonacci_identity
Hurwitz Problem
en.wikipedia.org/wiki/Hurwitz_problem
Binet-Cauchy Identity
en.wikipedia.org/wiki/Binet%E2%80%93Cauchy_identity
Music:
Welcome to Mafia Town - Pascal Michael Stiefel
Process - Tsutchie
Pushing Onwards - Magnus Pålsson
Fractal - Whitebat
มุมมอง: 5 444
วีดีโอ
Convolutions are not Convoluted
มุมมอง 60K3 ปีที่แล้ว
EXTRA NOTES: -The convolution matrix is a Toeplitz matrix. -If the bakery's impulse response was to give cookies periodically (e.g. giving cookies every week), you would get circular convolution. -Another intuition of flipping the impulse response is that if you DIDN'T flip, the system would be using signals from the future input to calculate the present output, which is impossible in a time-de...
Systolic Arrays: The coolest way to multiply matrices
มุมมอง 11K3 ปีที่แล้ว
EXTRA NOTES: - To be clear, this is NOT the fast matrix multiplication algorithm described here: en.wikipedia.org/wiki/Strassen_algorithm The way I count the multiplies and adds is different from the way they are counted from a math perspective. In this video, when several multiplications happen in parallel (in one time step), I count it as one multiply, but from a math perspective they would s...
My MLK day speech at Georgia Tech
มุมมอง 5513 ปีที่แล้ว
I'm working on a video about matrix multiplication in systolic arrays. In the meantime, here is something completely different. This event was organized by the GT Office of Diversity.
Reviewing hexapods that you probably won't buy
มุมมอง 3K3 ปีที่แล้ว
All of them drain the battery life fast. Buy Robutts here: Phoenix Hexapod: www.robotshop.com/en/lynxmotion-phoenix-3dof-hexapod-robot-kit-botboarduino.html Freenove Hexapod: www.amazon.com/Freenove-Raspberry-Crawling-Detailed-Tutorial/dp/B07FLXFDZ1?ref_=ast_sto_dp Adeept Hexapod: www.amazon.com/Adeept-RaspClaws-Raspberry-Crawling-Transmission/dp/B07TBC2ZH4/ref=asc_df_B07TBC2ZH4/?tag=hyprod-20&...
What's the big deal with Event-Based Vision?
มุมมอง 6723 ปีที่แล้ว
Music: Horizon - Ryo Fukui Resources: Event-based Vision: A Survey: arxiv.org/abs/1904.08405 Introduction To Event-based Vision: medium.com/@nabil.madali/introduction-to-event-based-vision-d9cfa1d98264 Rethinking the Way Our Cameras See: medium.com/@gregorlenz/rethinking-the-way-our-cameras-see-8584b5167bb Event Cameras: Where Are They Now?: medium.com/tangram-visions/event-cameras-where-are-th...
I do a video presentation for IJCNN 2020
มุมมอง 6133 ปีที่แล้ว
I was excited to travel to Glasgow to present my research at IJCNN 2020, but Covid-19 downgraded the conference into its virtual form. As an alternative to my live talk, I recorded this presentation of my paper. Hope you learn something. Link to paper: arxiv.org/abs/2004.05450
Spike-Based Imitation Learning Demo
มุมมอง 3403 ปีที่แล้ว
A video used in IJCNN 2020 in conjunction with this paper: arxiv.org/abs/2004.05450
My labmates and I play with Dynamic Vision Sensing
มุมมอง 2813 ปีที่แล้ว
This was filmed at my lab at Georgia Tech. The featured camera is a CeleX5-MIPI, more information below. www.celepixel.com/#/Home github.com/CelePixel/CeleX5-MIPI icsrl.ece.gatech.edu/
Obstacle Avoidance Training for Raspberry Pi Car Part 2
มุมมอง 813 ปีที่แล้ว
Part of a project at ICSRL Georgia Tech from 2017.
Obstacle Avoidance Training for Raspberry Pi Car
มุมมอง 2073 ปีที่แล้ว
Part of a project at ICSRL Georgia Tech from 2017.
my brain: "Is that cookie from the Cookie Clicker?"
the music is very disturbing
Thank you
it's impressive how you can abstract this idea to a simple bakery example, this must have been a tough work to put it all together. Congrats, this is outstanding.
Thank you; very helpful. I'm pleased to hear at the end, you duck no issue. Quacking good.
Beautiful video! Thanks for making it!
Thank you!!
Please start a patron page we need more custom lectures from you my friend.
I'd pay real money to watch this video. This is amazing. It's like switches clicked in my brain watching this video. Thank you so much
does this explain why F{F{x(t)}} = x(-t)? ive been struggling with that
Going by your explanation of convolution (Which to me was best intuitive way I found)... I request a similar explanation of Fourier transform for f & t domains.
I got the gist of it first time... Awesome explaination...
Am I hearing Persona 5 soundtrack?
Finally someone that sees potential in this tech! I’m making an event camera! I’m amazed to see not many ppl talk about it a lot…
This is honestly the best explanation I've found so far.... and I've been searching for a while. Amazing video, thank you so much
I've always (since 3b1b's video) thought about convolution as a measure of the correlation between a data stream, and some target sequence that you're looking for. Imagine holding some shape up in your field of view and scanning around. Whenever that shape perfectly eclipses some other shape in your environment, you get a high correlation value, and low everywhere else.
This is a fun way to describe conv. I'm hungry for cookies now.
Understanding that infinite vectors representing function values are pretty much the same thing and doing these kind of matrix-function / matrix-vector operations is so useful and helps understand many problems I first came across it in quantum chemistry with the bra-ket notation, same effect there, it makes everything make sense Good video
My mind was blown the first time I realized that a matrix could be viewed as a function. I had seen bra-ket notation and was completely lost. I can't remember where I saw a video about quantum computing that went through what they meant. I immediately thought about array indexing in programming, where the bra and ket select the row and column in a quantum state matrix.
Great explanation by bakery example.
Thanks, excellent presentation.
Excellent video on convolution! Maybe could use more explanation when talking about dot products and stuff.
Many hours put into understanding this concept during my undergraduate days, watching your 10-min video now provided far better understanding. Simple and to the point explanation. Thanks, and please keep updating with intuitive teachings. Great work !!!
Really good video
Great video, finally made the whole concept of inner products of functions click!
I watched two other videos on convolution prior to this (one of them being the fairly notorious 3Blue1Brown), and I think this helped me understand the concept of convolution the best. It just seemed like it stripped away all of the (in my opinion) more challenging vocabulary, and brought it down to layman's terms. Thanks for sharing!
Outstanding explanation! Thanks
Thank you for making this.❤
This is the video that lighted the bulb 💡! Much appreciated keep going ❤
For anyone confused: at 7:36, each term in the c vector is really a summation. The first term, for example, should be read as "sum, for t values 0 through 6, of the expression: d(t) x b(-t)" where the x is a multiplication symbol. The second term should be read as "sum, for t values 0 through 6, of the expression: d(t) x b(-(t - 1))." And so on.
Jo bhi hai aacha hai. 😂
can you make video on FFT as well ?
What do you use to make your visual displays
This is so good, so easy to understand, how come only 18 comments ? Should be 100+ positive comments, I wish more people find out this video
Very good.
Cool explanation, thanks
Excellent 👌
Awesome video
After a while, the music turned into keygen music.
nice video dude. I've watched it many times.
Check out 3B1B's fourier transform video.
One thing that I had found because of this video is that while the Rotation matrix inserted multiplication's value changes according to the relative angle between two vectors, Reflection matrices inserted ones change its value in a way that is more related to the definite angle(0, 45, 90, ... degree) wrt the coordinate system. This might brings up some intuitions or different approach about why does the Pauli matrices are constructed out of these reflection matrices. After all the other two directional observables out of 3-dimension needs to be constrained by another 1 directional observables.. I guess? Still vague but rewatching your video gave me another subject to dive into
Best and Best video Love you So much❤
Great video. Just what I was looking for. Do you know where I can purchase an already assembled and ready to go hexapod. I'm partial to the 3DOF and like the Freenove you demo'd. Thanks!
Where do you make the animations?
Wow😮...really get the idea
I have never seen the output on the left in LA, the equation is usually written Ax = b in most literature
is it like discrete convolution of pixel but in time dimension?🙃
some might say it's distracting, but the selection of back ground music was aesthetic and well reconciled.
I love the background music as well, it helped me focus
This guy contents need more attention
Great explanation. Thanks!
The beginning killed me😂😂