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Umbraleviathan
04/13/2022 16:03:25
There's one more
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Umbraleviathan
04/13/2022 16:03:58
$(\frac{1}{a^b}) = (\frac{1}{a})^b$
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TeXit
04/13/2022 16:04:01
**Umbraleviathan**
https://cdn.discordapp.c…952961032192.png
349354952961032192.png
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PoTeTo
04/13/2022 16:04:52
https://cdn.discordapp.c…a_DK1uDLVhDR.png
opera_DK1uDLVhDR.png
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PoTeTo
04/13/2022 16:05:00
can we look at this one as well please?
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Umbraleviathan
04/13/2022 16:10:31
I gotta go
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Umbraleviathan
04/13/2022 16:10:33
But like
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Umbraleviathan
04/13/2022 16:10:37
Maybe someone ale can
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Umbraleviathan
04/13/2022 16:10:41
But it's gonna be the same thing
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PoTeTo
04/13/2022 16:10:44
@Umbraleviathan just whats it diffent if its x+1 and x-1
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Umbraleviathan
04/13/2022 16:10:51
Uh
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Umbraleviathan
04/13/2022 16:11:03
x-1 will make it a^x • a^-1
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Umbraleviathan
04/13/2022 16:11:08
And use negative exponent laws
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PoTeTo
04/13/2022 16:11:13
aight
1
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PoTeTo
04/13/2022 16:11:16
thank you
1
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Umbraleviathan
04/13/2022 16:11:19
Np
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Kaprinko
04/13/2022 16:34:44
https://media.discordapp…actly same thing
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Kaprinko
04/13/2022 17:04:30
@Helpers
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ScapeProf
04/13/2022 17:19:25
What formula is that?
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Kaprinko
04/13/2022 17:19:47
its artihmetic progression
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ScapeProf
04/13/2022 17:20:06
Standard formula is k(k+1)(2k+2)/6
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Kaprinko
04/13/2022 17:20:37
huh , we use Sn = n/2(a1 + an)
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Kaprinko
04/13/2022 17:20:48
nevermind i just skip that one
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ScapeProf
04/13/2022 17:21:06
Is your series on that form?
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Kaprinko
04/13/2022 17:21:12
yea
1
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ScapeProf
04/13/2022 17:21:17
No it is not
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Kaprinko
04/13/2022 17:21:22
it is
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ScapeProf
04/13/2022 17:21:27
No it is not
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Kaprinko
04/13/2022 17:21:31
yes it is
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ScapeProf
04/13/2022 17:21:35
Which you clearly also see
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ScapeProf
04/13/2022 17:21:39
Because you get a wrong answer
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ScapeProf
04/13/2022 17:21:42
NO IT IS NOT
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Kaprinko
04/13/2022 17:21:49
hmm
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Umbraleviathan
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Kaprinko
04/13/2022 17:22:01
i hate maths
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Kaprinko
04/13/2022 17:22:03
.close
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ScapeProf
04/13/2022 17:22:45
When I ask is in on this form maybe recheck what arithemetic progression even is before saying “yes” multiple times
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hypnos
04/13/2022 17:40:34
I am able to do (a) and the first part of (b). However I am unsure on how to approach the second bit of (b) and the entire of (c).
https://cdn.discordapp.c…682/IMG_6819.jpg
IMG_6819.jpg
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Umbraleviathan
04/13/2022 17:44:07
Ah I see
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Umbraleviathan
04/13/2022 17:44:10
Okay so
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Umbraleviathan
04/13/2022 17:44:16
Use your limit chain rules
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Umbraleviathan
04/13/2022 17:44:45
C(1 - exp( [lim] -at))
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Umbraleviathan
04/13/2022 17:44:49
Im too lazy to use latex
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hypnos
04/13/2022 17:44:49
I may have not learnt that yet
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riemann
04/13/2022 17:45:04
you haven't learned limits but you're doing differential equations?
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hypnos
04/13/2022 17:45:14
Nope, this was just given
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Umbraleviathan
04/13/2022 17:45:20
They usually don't teach limit chain rules
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Umbraleviathan
04/13/2022 17:45:40
Which is dumb, they should
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Umbraleviathan
04/13/2022 17:45:49
Or whatever it's called
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hypnos
04/13/2022 17:45:55
Oh, i’ll look that up right now
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riemann
04/13/2022 17:46:01
https://www.youtube.com/watch?v=_MbyTm9H48c
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hypnos
04/13/2022 17:46:28
Thank you
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Umbraleviathan
04/13/2022 17:46:35
Basically you wanna take the limit of the actual t
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Umbraleviathan
04/13/2022 17:46:44
And then take that value
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Umbraleviathan
04/13/2022 17:46:54
And use it as part of the function
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hypnos
04/13/2022 17:49:22
Ohh
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hypnos
04/13/2022 17:49:24
Ok 👍
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dk.dkn
04/13/2022 17:52:54
Idk if he's from here, but in the UK standard curriculum is that significantly more is taught about differential equations before anything more than a basic understanding of the concept of a limit is taught
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hypnos
04/13/2022 17:54:32
Yep from UK, the concept of limit wasn’t really taught much
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hypnos
04/13/2022 17:54:54
Probably with differentiation but it was more of just memorising than explaining
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hypnos
04/13/2022 17:55:47
The limit video still confused me but i’ll just try to solve it
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dk.dkn
04/13/2022 17:58:07
Yeah there's much more to limits and solving them than differentiation from first principles
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dk.dkn
04/13/2022 17:58:49
There's some limit stuff in FP1
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hypnos
04/13/2022 18:06:08
I think i’m okay doing the rest of the question so thank you
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hypnos
04/13/2022 18:06:15
.close
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xlz
11/12/2021 19:34:14
.reopen
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xlz
11/12/2021 19:34:16
@Helpers
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Kraio
04/13/2022 18:17:43
I need help with some combinatorial optimization. The problem I am trying to solve is this: Say I have an item that I want to craft, which requires a certain amount of 6 elements in order to craft, those elements being Wind, Water, Life, Fire, Void, and Death. In order to craft this, I must combine parts which each hav...
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Kraio
04/13/2022 18:32:39
@Helpers
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riemann
04/13/2022 18:33:36
> Say I have an item that I want to craft, which requires a certain amount of 6 elements in order to craft, those elements being Wind, Water, Life, Fire, Void, and Death. In order to craft this, I must combine parts which each have their own elemental values. What is the minimum amount of parts needed to craft an item ...
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Kraio
04/13/2022 18:34:53
There aren’t any rules, you can have as many of the same item as needed, and there are no forbidden combinations
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riemann
04/13/2022 18:36:38
if you have 1 wind, can that turn into 6 elements? 1 of each element
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Kraio
04/13/2022 18:38:14
Every item you would be combining is guaranteed to have some integer amount of the 6 elements. So one might have 5 wind, 3 water, 0 life, -6 fire, 3 void, and 2 death
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Kraio
04/13/2022 18:38:39
And say, for example, you have an item that you want to craft that requires 50 wind, 25 water, 0 life, 15 fire, 70 void, and 30 death
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Kraio
04/13/2022 18:39:09
In my real data set, I have 69 possible items to be combined, each with their own elemental values
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riemann
04/13/2022 18:42:05
just pick an order for your 6 elements, say alphabetical, and phrase your problem in terms of vectors of length 6
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riemann
04/13/2022 18:42:51
you have `[d,f,l,v,wa,wi]` of stuff. what is your question regarding crafting
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riemann
04/13/2022 18:43:34
$[d,f,l,v,wa,wi] \in \N^6$
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help-10
219354cc5b974ba59b353ed1c8af6179
510,789,298,321,096,700
TeXit
04/13/2022 18:43:36
**riemann**
https://cdn.discordapp.c…205387477002.png
261933205387477002.png
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help-10
219354cc5b974ba59b353ed1c8af6179
212,786,578,513,199,100
Kraio
04/13/2022 18:48:04
So, I want to figure out the combination using the least number of items
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help-10
219354cc5b974ba59b353ed1c8af6179
261,933,205,387,477,000
riemann
04/13/2022 18:48:29
so you want to minimize $d + f + l + v + wa + wi$ subject to some constraint. define that constraint
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riemann
2529
riemann
false
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help-10
219354cc5b974ba59b353ed1c8af6179
510,789,298,321,096,700
TeXit
04/13/2022 18:48:32
**riemann**
https://cdn.discordapp.c…205387477002.png
261933205387477002.png
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help-10
219354cc5b974ba59b353ed1c8af6179
212,786,578,513,199,100
Kraio
04/13/2022 18:49:01
Hmmm
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help-10
219354cc5b974ba59b353ed1c8af6179
212,786,578,513,199,100
Kraio
04/13/2022 18:49:27
Well I would want the number of items used to be as close to 0 as possible, is that a valid constraint?
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help-10
219354cc5b974ba59b353ed1c8af6179
261,933,205,387,477,000
riemann
04/13/2022 18:51:22
> Say I have an item that I want to craft, which requires a certain amount of 6 elements in order to craft, those elements being Wind, Water, Life, Fire, Void, and Death. In order to craft this, I must combine parts which each have their own elemental values. What is the minimum amount of parts needed to craft an item...
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help-10
219354cc5b974ba59b353ed1c8af6179
141,791,176,540,946,430
frownyfrog
04/13/2022 18:54:44
you have 69 types, with unlimited amount of each right?
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help-10
219354cc5b974ba59b353ed1c8af6179
141,791,176,540,946,430
frownyfrog
04/13/2022 18:55:37
yeah, you said as many as needed ok
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help-10
219354cc5b974ba59b353ed1c8af6179
212,786,578,513,199,100
Kraio
04/13/2022 18:58:27
I must add the values of an item's respective elemental values to a running total based on that element. If I combine a dinglehopper with wind = 6, water = -2, life = 3, fire = 7, void = 0, and death = 5, with a tinglestopper, with a wind = 2, water = -4, life = 0, fire = 2, void = 1, and death = 7, the total is wind =...
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help-10
219354cc5b974ba59b353ed1c8af6179
261,933,205,387,477,000
riemann
04/13/2022 19:00:12
Yea this is a dynamic programming problem
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help-10
219354cc5b974ba59b353ed1c8af6179
261,933,205,387,477,000
riemann
04/13/2022 19:00:28
I'd look on leet code for something like this
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help-10
219354cc5b974ba59b353ed1c8af6179
141,791,176,540,946,430
frownyfrog
04/13/2022 19:08:27
it's linear programming
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help-10
219354cc5b974ba59b353ed1c8af6179
141,791,176,540,946,430
frownyfrog
04/13/2022 19:08:52
from wiki on simplex method
https://cdn.discordapp.c…1822/unknown.png
unknown.png
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help-10
219354cc5b974ba59b353ed1c8af6179
141,791,176,540,946,430
frownyfrog
04/13/2022 19:09:23
it's exaclty like this, you minimize a+b+c+d...
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help-10
219354cc5b974ba59b353ed1c8af6179
141,791,176,540,946,430
frownyfrog
04/13/2022 19:09:52
and you have conditions like -7a + 4b ... >= something
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help-10
219354cc5b974ba59b353ed1c8af6179
141,791,176,540,946,430
frownyfrog
04/13/2022 19:15:37
(unless it can't handle negatives)
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help-10
219354cc5b974ba59b353ed1c8af6179
212,786,578,513,199,100
Kraio
04/13/2022 19:16:37
So how would I state that the number of items should be as close to zero as possible?
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help-10
219354cc5b974ba59b353ed1c8af6179
141,791,176,540,946,430
frownyfrog
04/13/2022 19:18:30
"minimize a+b+c+d+e"
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help-10
219354cc5b974ba59b353ed1c8af6179
141,791,176,540,946,430
frownyfrog
04/13/2022 19:18:44
i found a problem, it's about reals
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help-10
219354cc5b974ba59b353ed1c8af6179
212,786,578,513,199,100
Kraio
04/13/2022 19:19:36
Could this be related? https://en.wikipedia.org/wiki/Integer_programming
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help-10
219354cc5b974ba59b353ed1c8af6179
212,786,578,513,199,100
Kraio
04/13/2022 19:21:52
Also, what does Z represent?
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help-10
219354cc5b974ba59b353ed1c8af6179
141,791,176,540,946,430
frownyfrog
04/13/2022 19:25:42
it's just the target
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