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EECS 16B Lectures - Shared screen with speaker view
Francisco Galvan
17:02
What is between V and S^-1?
Jennifer Zhou
17:27
V1
Felix Yu
17:45
lol
Francisco Galvan
17:47
OH ty ty
Kaichen Liu
18:02
i had the same question ty LOL
Oliver Puffer
18:40
Yeah, thanks for asking that, I was so confused too
Jake Whinnery
26:10
Wait where did the t-kt come from
Nisha Prabhakar
26:48
Its the time since the initial time
Connie Shi
26:51
it's change in time between a t in general and the t we started with (kt)
Nisha Prabhakar
26:52
since kT is the initial time
Sal Husain
27:14
What is k here?
Jake Whinnery
27:21
Oh gotchu
Jake Whinnery
27:26
K is number of timesteps
Jake Whinnery
27:46
Thanks @Connie @nisha
Vainavi Viswanath
28:06
Can you explain how you got your answer for p(t). What were the bounds of your integral?
Kaichen Liu
30:34
there are no bounds for the p(t) integral it seems to me
Stephen Wang
30:51
frozen?
Nisha Prabhakar
30:53
I can’t hear him?
Subham Dikhit
30:53
yup
CharlieWu
30:54
what does p(t) stand for?
Ayush Sharma
30:55
Yeah...
Francisco Galvan
30:56
yep
Dean Zhang
30:59
frozen
Seongwook Jang
30:59
yep
Kevin Gao
30:59
frozen
Lily Yang
31:00
yep
Kaichen Liu
31:09
elsa
Francisco Galvan
31:14
University of Zoom FTW
Bryan Ngo
31:14
F
Francisco Galvan
31:17
f
Ryan Machus
31:18
Murat buffering
Stephen Wang
31:20
p(t) stands for position
Billy Huang
31:32
F
Jake Whinnery
31:33
oof
Vanshaj Singhania
31:33
uh oh
Kaichen Liu
31:34
f
Dean Zhang
31:35
goodbye
Stephen Wang
31:48
is orange professor Murat's favorite color?
Vanshaj Singhania
31:50
is prof sanders still here
dylanbrater
31:52
f
Lily Yang
31:53
f
Abhik
31:57
f
Joshua Baum
31:58
f
Jasper Zhou
31:58
f
Felix Yu
31:58
f
Joseph Fedota
31:59
f
Dean Zhang
32:00
f
Ruslana Yurtyn
32:03
f
Vanshaj Singhania
32:03
f
Kaichen Liu
32:06
at least it's still recording
Alex Yang
32:07
pephands
Lily Yang
32:19
don't forget to turn in honor code today guys
Christy Koh
32:20
this and 61b
Connie Shi
32:36
^
Cooper
32:36
how'd loa go for you all
Sakshi Satpathy
32:40
Where do you get the honor code from? Couldn’t see it on gradescope
Christy Koh
32:41
the first two lectures I decided to listen to live since this thing started
Yimo Xu
33:02
F
Stephen Wang
33:03
yo them housing refund checks came through
Vanshaj Singhania
33:07
honor code is in the mt2 logistics post
Stephen Wang
33:08
got $3000 back
Jake Whinnery
33:11
@sakshi check the email/piazza post it says what exactly to write down and upload
Vanshaj Singhania
33:20
under "academic honesty"
Sakshi Satpathy
33:21
ok cool thanks
Subham Dikhit
34:01
thx to the ppl who didn't fill out the 61b midsem survey
Lily Yang
34:14
here's the piazza assignment that says honor code: https://piazza.com/class/k509eg2kx302ol?cid=896you should see it in the academic honesty section
Stephen Wang
34:30
did we not get the 61b survey extra credit?
Vanshaj Singhania
34:34
lol no
Alex Yang
34:35
could've sworn this was 16b and not 61b
Sakshi Satpathy
34:36
@Lily thanks
Nisha Prabhakar
34:40
wait did less than 80% of ppl fill it out?
Francisco Galvan
34:44
this is 16 b, lmao
Alex Yang
34:48
I was joking
Vanshaj Singhania
34:49
participation in the 61b survey was probably less than 50% tbh
Francisco Galvan
34:55
We all need to just stop doing the school thing, this isn't working out
Subham Dikhit
34:58
@vanshaj true
Jake Whinnery
35:02
61b is my trigger word
Vanshaj Singhania
35:12
jake we can't see your video today!
Stephen Wang
35:14
damn, now I need to get 12 instead of 11 on MT2 and Final for 61b for an A
Stephen Wang
35:15
wtf
Vanshaj Singhania
35:34
oh hey they're back
Jake Whinnery
35:34
Someone said “Let’s get lit” and all I could hear was Gitlet
Ranesh Prasad
35:35
There is no clear cut “announcements” in 61b like what we had in 61a
Cooper
35:37
do you think our lecture's been zoom bombed
Abhik
35:45
who else gonna fail mt2
Vanshaj Singhania
35:45
JAKE
Lily Yang
35:48
HI JAKE
Stephen Wang
35:50
Seth!!!
Abhik
35:52
JAKES BACK
dylanbrater
36:04
Who tf is jake
Jake Whinnery
36:06
Hello all
Subham Dikhit
36:08
Prof sanders the goat
Alex Yang
36:11
jake new prof
Vanshaj Singhania
36:14
highlight of lecture
Nisha Prabhakar
36:14
I don’t see the screen?
Stephen Wang
36:15
Its Jake from State Farm
Felix Yu
36:23
I got 100% on the Bcourse Test Exam >:)
Lily Yang
36:29
a legend
Vanshaj Singhania
36:30
flex
Stephen Wang
36:32
Weird flex but okay
Vanshaj Singhania
36:36
this is a safe space sir
Vanshaj Singhania
36:56
o yeah that sweet echo
Alex Yang
36:56
O.o
Yimo Xu
36:57
I heard echo
jeremy
37:02
recursion
Ryan Machus
37:04
When the acid hits
Kevin Gao
37:20
>recursion
Vanshaj Singhania
37:30
maximum recursion depth exceeded
Francisco Galvan
37:36
^ lol
Bryan Ngo
37:47
mic feedback is just real life recursion
Jake Whinnery
37:49
Guys turn on your cams lets make it a real class
Stephen Wang
37:53
regular wifi problem
Francisco Galvan
37:55
AirBears2
Vanshaj Singhania
37:57
a very coincidental wifi problem o_o
Stephen Wang
37:59
Go Bears
Alex Yang
38:02
who bombs 16b lmfao
Subham Dikhit
38:09
Zoom stock dropped like 10 bucks today
Kaichen Liu
38:12
i think zoom bombing doesn't refer to connections being lost lol
Sal Husain
38:16
those who enjoy LEARNING
Kaichen Liu
38:19
more like...connections being added
Felix Yu
38:22
Need the nelk bois in this
Jake Whinnery
38:27
Omg I sold my zoom stock yesterday when it dropped
Subham Dikhit
38:34
Lol.
Vanshaj Singhania
38:38
I should buy zoom stock rn
Bryan Ngo
38:39
i bet SVD would've solved this
Subham Dikhit
38:48
Time to use MICROSOFT TEAMS
Vanshaj Singhania
38:53
no hangouts meet only
Alex Yang
38:58
twitch
Bryan Ngo
38:59
16b twitch stream when
Vanshaj Singhania
39:03
actually class on skribbl.io
dylanbrater
39:04
^
Jake Whinnery
39:07
Ayush it’s been too long since I’ve seen your beautiful face
Ryan Zhao
39:10
yep!
Christy Koh
39:11
hiiiii Sarina!!!
Ayush Sharma
39:27
You too, man, it really has been a phat while. Much love! :)
Will Panitch
39:32
LILY!!!!
Lily Yang
39:50
WILL
Lily Yang
39:51
HI
Ashwin Rammohan
42:16
why do the ud's start at l-1 and end at 0?
Ashwin Rammohan
42:21
instead of starting from 0
Seth SANDERS
42:58
They start at 0 and range up to l-1. Notation puts l-1 on top.
Gaurav Rohit Ghosal
43:24
Yes
Jake Whinnery
45:25
Where did the second vector of C2 come from?
Gaurav Rohit Ghosal
45:26
The u value will be very high
Ryan Zhao
45:27
speed is way too fast
Sal Husain
45:56
idk sounds good to me
Bryan Ngo
46:02
gotta go fast
Alex Yang
46:07
challenge accepted
Sal Husain
46:09
gotta get them groceries
Vanshaj Singhania
46:09
i am speed
Kaichen Liu
46:26
the 16b car doesn't have good enough aero to break speed of sound
Alex Yang
46:41
u underestimate my ability
Sal Husain
46:42
speak for yourself, our lab car can
Oliver Puffer
46:44
I missed so much of this lecture bc DSP captioning is a joke and they've spammed me with so many emails Im not even sure they actually sent the caption link. Im beginning to think I should just leave and watch the recording later. So much for accessibility lmao
Oliver Puffer
49:46
The real prank Is I spent so much time trying to figure it out that I missed more lecture than I would've just going without it.
Ryan Zhao
51:19
how do you choose l?
Jake Whinnery
53:05
I wanna say it’s an arbitrary number of time steps he chose but not rlly sure
Sal Husain
53:31
if you want to get there in 60 seconds, it'll be 60/k
Sal Husain
53:37
where k here I think is 0.2
Sal Husain
54:07
^^this might be wrong
Joshua Baum
54:27
What if we wanted to apply the torque nonlinearly, could we solve for that kind of a solution?
Will Panitch
55:43
I think we could in theory, but not using linalg because then the equation wouldn’t be linear
Joshua Baum
56:45
okay cool thanks!
Natalie Kalyuzhny
56:49
For a real car, it
Natalie Kalyuzhny
57:00
s ususally considered best to not brake and accelerate too much
Felix Yu
57:15
?
Natalie Kalyuzhny
57:22
But this seems like the opposite. Can you give an intuition for why this is the optimal solution?
Natalie Kalyuzhny
57:37
*best as in, most fuel efficient
Austin Patel
58:28
If we had a limitation on how large the input u(t) could be, is there a way to account for this in our solution?
Balaji
58:42
What do you mean by min. norm solution? Do you mean the min. norm of || [1000 0]T - [b Ab … A^(l-1)b] [u(l -1) … u(0)]^T ||
Ayush Sharma
59:44
@Jake, does the color of your mug match your shirt?! Very classy!
Jennifer Zhou
01:00:03
How is l selected? Do we just need to pick something significantly bigger than 2
Jennifer Zhou
01:00:11
? And is that the only constraint?
Balaji
01:00:17
Okay, I see. Thanks
Seongwook Jang
01:00:20
Is this basically least squares with least norm??
Jake Whinnery
01:00:21
Thanks Ayush, that’s what I was thinking of when I chose my outfit today
Ayush Sharma
01:01:25
Daaaang, I feel so privileged to know what Jake thinks about! *OK hand emoji*
Cooper
01:02:00
👌
Stephen Wang
01:03:08
what is min norm solution used for?
Ayush Sharma
01:04:09
I believe it's just a mathematical optimization technique (so it can be used for a lot of things, including energy consumption as just mentioned).
Ayush Sharma
01:04:19
Confirmation would be good here, though!
Seth SANDERS
01:04:45
Yes, nicely stated Ayush
Ayush Sharma
01:05:30
Coolio, thanks professor!
Stephen Wang
01:05:47
so in the case of energy consumption, it will be used to get the minimum amount used?
Seth SANDERS
01:06:35
in the case when energy is measured as the sum of the squares of the input entries
Subham Dikhit
01:08:56
What is bounded?
Stephen Wang
01:09:15
oh, so it is an optimization to get the minimum energy used when energy is the sum of the squares of input entries
Subham Dikhit
01:09:24
the bounds on the summation?
Xiaoyi Zhu
01:09:25
so it goes back to |lambda| <= 1 ?
Ayush Sharma
01:09:48
@Subham, I believe it means that we can find two real numbers, let's say a and b, such that a <= x(t) <= b for all timesteps t.
Subham Dikhit
01:10:10
Ahh, I see. Thx Ayush
Ayush Sharma
01:10:16
Yup! :)
Kaichen Liu
01:12:27
is this if and only if?
Francisco Galvan
01:12:36
the housing Market is UnStable
Ayush Sharma
01:13:34
What would be an example of an unstable system where |lambda| < 1?
Ayush Sharma
01:13:41
Going off @Kaichen's question.
Jake Whinnery
01:14:13
lol
Stephen Wang
01:14:19
what if it is equal to 1?
Francisco Galvan
01:14:26
im sure thats next
Jake Whinnery
01:14:45
I think equal to 1 is stable too but if lambda is -1 you get non transient oscillation
Connie Shi
01:14:46
i think its called marginally stable
Ayush Sharma
01:14:58
Ohh yeah, from lab!
Stephen Wang
01:15:09
so right now it's just about whether or not the system converges when t approaches infinity?
Francisco Galvan
01:15:15
shrinking
Francisco Galvan
01:15:18
in value?
Jennifer Zhou
01:15:26
Wait someone remind me what marginally stable meant again
Ayush Sharma
01:16:22
It's a system that will neither blow up (i.e. go to infinity) nor converge to 0.
Ayush Sharma
01:16:26
@Jennifer
Lily Yang
01:16:34
maybe when lambda is close to 1 but slightly larger?
Jennifer Zhou
01:16:58
So it converges, just not to zero
Stephen Wang
01:17:06
what does upside down A mean again?
Francisco Galvan
01:17:11
for every
Ayush Sharma
01:17:21
Yeah, *pretty* sure that's true @Jennifer.
Vanshaj Singhania
01:17:31
i think that's right yeah
Jennifer Zhou
01:17:56
okay thanks!!
CharlieWu
01:17:57
what’s b?
Seth SANDERS
01:17:57
Upside down A means “for all”
Ayush Sharma
01:18:01
:)
Gaurav Rohit Ghosal
01:18:22
Absolute value first
Francisco Galvan
01:18:22
latter
Nisha Prabhakar
01:18:22
absolute value first
Sal Husain
01:18:23
the second
Stephen Wang
01:18:26
abs and then add
Sal Husain
01:18:32
L
Ayush Sharma
01:20:44
GEOMETRIC SERIES!!! :O
Francisco Galvan
01:21:04
^ o.O
Lily Yang
01:21:15
time complexity triggers
Jake Whinnery
01:21:33
Rt^
Lily Yang
01:21:36
when lambda < 1
Stephen Wang
01:21:40
O(N^2)?
Gaurav Rohit Ghosal
01:21:41
1/(1-abs(lambda))
Yimo Xu
01:22:02
\frac{a(1-r^n)}{1-r}...
Will Panitch
01:22:32
Wow we really busting out the latex in chat 😤
Francisco Galvan
01:22:48
@Yimo, is that for the infinite series? or nah?
Yimo Xu
01:22:53
Install a LaTeX compiler in your brain
Yimo Xu
01:23:03
No, that's for geometric series in general
Francisco Galvan
01:23:10
ah, ok thought so
Francisco Galvan
01:23:11
thx
Yimo Xu
01:23:12
;->
Bryan Ngo
01:23:42
\sum_{s = 0}^{t - 1} \lambda^s = \frac{1}{1 - |\lambda|}
Francisco Galvan
01:24:05
SHOW TIME curious cats
Ashwin Rammohan
01:24:20
constant
Francisco Galvan
01:24:27
don't go nowhere
Francisco Galvan
01:25:19
uh oh
Vanshaj Singhania
01:25:21
uh oh
Felix Yu
01:25:22
rip
Nisha Prabhakar
01:25:23
yikes
Joseph Fedota
01:25:23
f
dylanbrater
01:25:24
Nooooo
Dean Zhang
01:25:24
f
Francisco Galvan
01:25:24
f
dylanbrater
01:25:24
f
Felix Yu
01:25:24
f
Yimo Xu
01:25:24
Nooooooo
Sal Husain
01:25:25
rip
Yimo Xu
01:25:25
F
Stephen Wang
01:25:26
Frozen 2
Seongwook Jang
01:25:26
again lol
Bryan Ngo
01:25:26
F
Jake Whinnery
01:25:27
Big sad
Abhik
01:25:29
F
Vanshaj Singhania
01:25:32
round 2
Michael Sparre
01:25:35
f
Felix Yu
01:25:37
And that’s all folks
Kevin Gao
01:25:37
lol
Stephen Wang
01:25:40
:(
Yimo Xu
01:25:42
Press "F" to pay respect
Alex Yang
01:25:42
rip
Ryan Machus
01:25:44
Not cause for….concern?
Vanshaj Singhania
01:25:48
70 time
Kaichen Liu
01:25:48
16B Wifi Down 2 : Electric Bugaloo
Francisco Galvan
01:25:49
it is now
Francisco Galvan
01:25:50
lol
Cooper
01:26:05
seth help us
Francisco Galvan
01:26:10
"f'n Windows '98, get Bill Gates in here!"
Stephen Wang
01:26:12
so will we know our midterm scores right after we submit?
Yimo Xu
01:26:18
wifi isn't developed by ucb which makes it unstable
Vanshaj Singhania
01:26:20
i hope not
Joseph Fedota
01:26:27
yes
Francisco Galvan
01:26:27
i hear you prof
Vanshaj Singhania
01:26:28
that bcourses thing giving me a score scared me
Vanshaj Singhania
01:26:29
yes
Kaichen Liu
01:26:29
yes
Dean Zhang
01:26:29
yes
Vainavi Viswanath
01:26:29
yes
Abhik
01:26:30
yes
Nisha Prabhakar
01:26:32
I can hear prof sanders
Yimo Xu
01:26:43
go bearz
Vanshaj Singhania
01:26:50
go bears on 3
Sal Husain
01:26:51
"yeah, we try" — Prof Sanders 2020
Vanshaj Singhania
01:26:52
1
Vanshaj Singhania
01:26:53
2
Vanshaj Singhania
01:26:59
rip
Stephen Wang
01:27:06
we are no longer the Number 1 Zoom University
Ayush Sharma
01:27:19
Yup!
Francisco Galvan
01:27:19
yes
Kaichen Liu
01:27:19
yes
Yimo Xu
01:27:19
yes
Nisha Prabhakar
01:27:20
yes
Vanshaj Singhania
01:27:21
yee
Abhik
01:27:23
yes]
Stephen Wang
01:28:21
prof Murat!
Vanshaj Singhania
01:28:26
facetime TM
dylanbrater
01:28:29
Hottie
Christy Koh
01:28:35
doggo!!
Vincent Yvan
01:28:36
Oscillating ?
Ryan Zhao
01:28:37
DOG!
Jake Whinnery
01:28:37
https://tinyurl.com/EE16BStabilityLecture
Subham Dikhit
01:28:41
Nice glasses
Lily Yang
01:28:42
AWHH doggo
Lily Yang
01:28:56
this internet is uNstAbLe
Sal Husain
01:28:58
Will's dog mvp
Ayush Sharma
01:29:02
^^^
Francisco Galvan
01:29:07
@ Lily XD
Francisco Galvan
01:29:21
yessir
Vanshaj Singhania
01:29:22
ye!
Dean Zhang
01:29:31
yes
Seongwook Jang
01:33:36
if eigenvalues are not distict, do we just put it twice
Seongwook Jang
01:33:38
in the matrix?
Bryan Ngo
01:34:11
only if there are distinct eigenvectors for those repeated eigenvalues
Subham Dikhit
01:34:14
Hi Seongwook!!!
Vanshaj Singhania
01:35:02
no i think prof arcak's audio is off
Aren Safar Loo
01:37:31
thanks
Nisha Prabhakar
01:37:32
Thanks
Jennifer Zhou
01:37:35
Thank you!!!
Francisco Galvan
01:37:35
hey, thanks gents, appreciate you all
Mohsin Sarwari
01:37:35
thanks!
Ayush Sharma
01:37:36
Thank you!
Cooper
01:37:37
hasta la vista
Abhik
01:37:38
thank you
Howard Ho
01:37:40
Thanks!
Ashwin Rammohan
01:37:41
thanks!
Eugenia Chien
01:37:42
thank you!
Jake Whinnery
01:37:43
Thanks Professors!