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ax3__39
03/25/2022 14:58:08
Thank you but how does that help in this case?
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Omegabet_
03/25/2022 14:58:10
Doesn't matter what way you go, so long as you correct the det correctly
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ax3__39
03/25/2022 14:58:20
Okay thanks Mosh
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ax3__39
03/25/2022 15:00:11
Looking at B and going to A, can I do v2 - v1? Then v3 of B - v2? Etc
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Ann
03/25/2022 15:00:14
doesn't matter
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ax3__39
03/25/2022 15:00:27
I see thank u
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Ann
03/25/2022 15:00:40
i mean tbh like, if you use operations that _preserve_ the determinant, i.e. no col swaps or col scales
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Cogwheels of the mind
03/25/2022 15:00:48
$C=\begin{pmatrix}1&1&0&……&0\\0&1&1&……&0\\0&0&1&……&0\\…&…&…&……&…\\0&0&0&…….&1\end{pmatrix}$
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ax3__39
03/25/2022 15:00:50
That means the det doesn’t change
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TeXit
03/25/2022 15:00:51
**Cogwheels of the mind**
https://cdn.discordapp.c…983413366824.png
826318983413366824.png
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Ann
03/25/2022 15:00:56
then you can give no shits at all about the direction
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Ann
03/25/2022 15:01:12
but also instead of dumping this big ass matrix on you like CotM did
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Ann
03/25/2022 15:01:19
what with their love of overcomplicating things
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ax3__39
03/25/2022 15:01:24
Okay thank you. But if those operations don’t change doesn’t that mean the det will be the same?
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ax3__39
03/25/2022 15:01:52
Lol appreciate the help tho cogwheels
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Ann
03/25/2022 15:01:54
yes, _because_ you can do this with only col additions, you will get that det(B) = det(A)
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help-10
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Cogwheels of the mind
03/25/2022 15:01:59
How is det(AC)=det(A)det(C) complicated?
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help-10
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Cogwheels of the mind
03/25/2022 15:02:22
Nvm, everything is complicated
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ax3__39
03/25/2022 15:02:32
I’m confused
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Ann
03/25/2022 15:02:46
no, it's the fact that you thrust this big ass matrix that is meant to encapsulate all of your row operations in one go
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ax3__39
03/25/2022 15:02:47
I think I’ll just do those operations and show it’s the same det
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help-10
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Cogwheels of the mind
03/25/2022 15:03:00
Column operation I think
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ax3__39
03/25/2022 15:03:07
Yes
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ax3__39
03/25/2022 15:03:11
Thank you
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Ann
03/25/2022 15:03:17
subtract col 1 from col 2
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Ann
03/25/2022 15:03:21
then subtract col 2 from col 3
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Ann
03/25/2022 15:03:23
etc.
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Ann
03/25/2022 15:03:28
up to: subtract col n-1 from col n
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Ann
03/25/2022 15:03:36
with these n-1 operations B will become A
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ax3__39
03/25/2022 15:03:52
That’s right thank you, then I can just show that det is preserved?
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Ann
03/25/2022 15:04:04
you've already done so.
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Ann
03/25/2022 15:04:14
unless your prof requires you to reprove it every time
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ax3__39
03/25/2022 15:04:52
Sorry I meant if I can make B look like A, then I can say det(B) = 10 as well?
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ax3__39
03/25/2022 15:05:02
But that just seems way too easy
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bussy
03/25/2022 15:06:12
hello can i get help with something??
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ax3__39
03/25/2022 15:07:24
What is this user 💀💀💀💀
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ax3__39
03/25/2022 15:07:26
Lol
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sills
03/25/2022 15:08:12
check out #❓how-to-get-help
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Omegabet_
03/25/2022 15:08:37
Well did the operations done change the det?
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bussy
03/25/2022 15:09:22
thank you, it says that i have to find an unoccupied channel, how do i do that?
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Omegabet_
03/25/2022 15:10:05
Look at the ones that are available
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sills
03/25/2022 15:10:08
#✅Math Help (Available)
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ax3__39
03/25/2022 15:23:46
No
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ax3__39
03/25/2022 15:24:00
Makes sense thank you
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Omegabet_
03/25/2022 15:27:16
So yeah the det is the same
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bussy
03/25/2022 15:30:23
okay thank you:)
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Drillenissen
03/25/2022 15:43:32
Heey sooo
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Drillenissen
03/25/2022 15:43:52
I did an analasys of some data and found this corrolation
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help-10
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Drillenissen
03/25/2022 15:43:54
```r summary(mdl4) Call: lm(formula = y ~ poly(x, 3), data = df) Residuals: Min 1Q Median 3Q Max -0.76558 -0.46323 -0.09172 0.34950 0.97851 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 9.3150 0.2435 38.252 2.13e-08 *** poly(x, 3)1 -17.3223 0.77...
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Drillenissen
03/25/2022 15:44:17
And i would love to turn this data into a function
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Drillenissen
03/25/2022 15:44:32
What i belive it corrolates to is something like
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TeXit
03/25/2022 15:44:36
**Drillenissen** ```latex $-17.32\cdot x^3+4.81\cdot x^2-1.22\cdot x+9.315$ ```
https://cdn.discordapp.c…105760370729.png
936357105760370729.png
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Drillenissen
03/25/2022 15:44:44
(looking at the estimates)
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Drillenissen
03/25/2022 15:44:50
```r Estimate Std. Error t value Pr(>|t|) (Intercept) 9.3150 0.2435 38.252 2.13e-08 *** poly(x, 3)1 -17.3223 0.7701 -22.495 5.05e-07 *** poly(x, 3)2 4.8193 0.7701 6.258 0.000772 *** poly(x, 3)3 -1.2224 0.7701 -1.587 0.163524 ```
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Drillenissen
03/25/2022 15:45:08
This is the analasys ran
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Drillenissen
03/25/2022 15:45:12
```r mdl4 <- lm(y ~ poly(x, 3), data = df) ```
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Drillenissen
03/25/2022 15:45:35
Where df is the dataframe and i belive poly(x, 3) corrolates to a third degree function
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Drillenissen
03/25/2022 15:54:23
This is the plot im trying to find the formula of
https://cdn.discordapp.c…236172/Rplot.png
Rplot.png
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121,075,349,667,708,930
Hexicle
03/25/2022 15:54:43
Your coefficients are in the wrong order
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Drillenissen
03/25/2022 15:54:54
Typical, let me try to fix it
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Drillenissen
03/25/2022 15:56:15
Would it be $-1.2224*x^3+4.8193*x^2-17.3223*x+9.3150$
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TeXit
03/25/2022 15:56:18
**Drillenissen**
https://cdn.discordapp.c…105760370729.png
936357105760370729.png
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Drillenissen
03/25/2022 15:56:33
Because like, its still not giving a good output
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Drillenissen
03/25/2022 15:57:02
https://cdn.discordapp.c…-25_20-57-10.png
Screenshot_from_2022-03-25_20-57-10.png
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Drillenissen
03/25/2022 15:57:07
(purple line on the right)
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Drillenissen
03/25/2022 15:57:21
It might be that my analasys is wrong
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Hexicle
03/25/2022 15:57:29
Yes, but whether it gives a good output is another story without knowing more about the data.
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Hexicle
03/25/2022 15:58:16
You are trying to fit a third degree polynomial to a curve that is approximately concave up everywhere, it's not really a surprise the result looks bad
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Drillenissen
03/25/2022 15:58:50
What type of curve would you map to it?
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Hexicle
03/25/2022 15:59:46
I don't know? A straight line? It really depends on the problem and what you are trying to achieve
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Drillenissen
03/25/2022 16:00:10
So this is our data
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Drillenissen
03/25/2022 16:00:11
https://cdn.discordapp.c…9284/unknown.png
unknown.png
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Drillenissen
03/25/2022 16:00:21
And were trying to explain it with a mathmatical model
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Hexicle
03/25/2022 16:02:39
That information is already in the previous two images and the problem statement is really meaningless.
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help-10
3b8afd172667431da07272c37d4e6422
121,075,349,667,708,930
Hexicle
03/25/2022 16:03:35
If this is just a class, it probably just wants you to fit it to a straight line, a negative exponential or something and make up some conclusion about the data decaying to zero or something
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help-10
3b8afd172667431da07272c37d4e6422
121,075,349,667,708,930
Hexicle
03/25/2022 16:03:50
The result will probably be terrible, but it's practice and it doesn't matter
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help-10
3b8afd172667431da07272c37d4e6422
936,357,105,760,370,700
Drillenissen
03/25/2022 16:04:16
Yeah
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0
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1,476
help-10
3b8afd172667431da07272c37d4e6422
121,075,349,667,708,930
Hexicle
03/25/2022 16:04:20
If it's some specific use case beyond "we want to model it, so lets do that", the problem statement means a lot
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help-10
3b8afd172667431da07272c37d4e6422
936,357,105,760,370,700
Drillenissen
03/25/2022 16:04:30
Fair
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0
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help-10
3b8afd172667431da07272c37d4e6422
121,075,349,667,708,930
Hexicle
03/25/2022 16:05:39
Like, our insurance team needs to model how much the company loses in top 10% extreme cases, we need to approximate the value of this particular input to tell how much to charge for insurance on this asset or if we need to refuse signing a contract at all.
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help-10
3b8afd172667431da07272c37d4e6422
121,075,349,667,708,930
Hexicle
03/25/2022 16:05:49
That tells you a lot about what you are doing
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help-10
3b8afd172667431da07272c37d4e6422
936,357,105,760,370,700
Drillenissen
03/25/2022 16:05:58
Makes sense
1
0
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1,476
help-10
3b8afd172667431da07272c37d4e6422
121,075,349,667,708,930
Hexicle
03/25/2022 16:09:05
Honestly, I hate classes that do this.
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1,476
help-10
3b8afd172667431da07272c37d4e6422
121,075,349,667,708,930
Hexicle
03/25/2022 16:09:31
You should have a problem you want to investigate, you formulate a hypothesis, then you test the hypothesis and write down some conclusions.
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help-10
3b8afd172667431da07272c37d4e6422
121,075,349,667,708,930
Hexicle
03/25/2022 16:09:56
Just "Explain with a mathematical model" comes up way too much.
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help-10
153be57982424a4da132929101b7da5f
219,216,037,520,998,400
Neko
03/25/2022 16:28:10
mostly a theory question today
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1,477
help-10
153be57982424a4da132929101b7da5f
219,216,037,520,998,400
Neko
03/25/2022 16:29:42
"If there are two static points A and B, and a moving point M, such that the distance of |AM| = |BM|, then the movement of M can be described as a
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help-10
153be57982424a4da132929101b7da5f
186,109,587,366,215,680
Omegabet_
03/25/2022 16:30:16
static as in not moving?
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help-10
153be57982424a4da132929101b7da5f
740,580,236,973,834,400
TheHiddenNinja7
03/25/2022 16:30:24
straight line that bisects the line segment AB
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help-10
153be57982424a4da132929101b7da5f
219,216,037,520,998,400
Neko
03/25/2022 16:30:27
a) flat plane b) a point c) a curve d) a straight line
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help-10
153be57982424a4da132929101b7da5f
219,216,037,520,998,400
Neko
03/25/2022 16:30:37
It's in 3d space so I _think_ a plane also works?
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help-10
153be57982424a4da132929101b7da5f
219,216,037,520,998,400
Neko
03/25/2022 16:30:53
I'm mostly wondering if A and D are both valid answers, just that A probably is more sound if I had to choose one
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help-10
153be57982424a4da132929101b7da5f
740,580,236,973,834,400
TheHiddenNinja7
03/25/2022 16:31:09
Yep. I was thinking 2D
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help-10
153be57982424a4da132929101b7da5f
219,216,037,520,998,400
Neko
03/25/2022 16:31:33
a plane works right? My 3d imagination is just bad
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1,477
help-10
153be57982424a4da132929101b7da5f
826,318,983,413,366,800
Cogwheels of the mind
03/25/2022 16:32:49
You just let A=(0,0,…,0,1) and B=(0,0,…,0,-1) and let P=(x_1,x_2,…,x_n) be a point such that |PA|=|PB| you will find that it’s equivalent to x_n being 0
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help-10
153be57982424a4da132929101b7da5f
219,216,037,520,998,400
Neko
03/25/2022 16:34:26
oh so sort of like to pyramids with their bases joined together?
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help-10
153be57982424a4da132929101b7da5f
219,216,037,520,998,400
Neko
03/25/2022 16:34:40
So the two tips would always be equidistant to the base?
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1,477
help-10
153be57982424a4da132929101b7da5f
826,318,983,413,366,800
Cogwheels of the mind
03/25/2022 16:36:16
It’s just a WLOG process. Any two points in that Euclidean space you can always let the midpoint be origin, the line passing throw two points be x_n-axis
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help-10
153be57982424a4da132929101b7da5f
219,216,037,520,998,400
Neko
03/25/2022 16:37:23
got it! Thanks! o7
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1,477
help-10
153be57982424a4da132929101b7da5f
219,216,037,520,998,400
Neko
03/25/2022 16:37:26
.close
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