/sci/ - Science & Math » Thread #12791048

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Markov chains

Anonymous Fri 05 Mar 02:59:58 2021 No.12791048 View Reply Original Report

Quoted By: >>12791493 >>12791754 >>12792415 >>12792424 >>12792883

Does anybody know how to interpret Markov chains So confused how he got those number at the bottom

Anonymous

Anonymous Fri 05 Mar 2021 03:15:59 No.12791112 Report

Quoted By:

Solve a system of equations

Anonymous

Anonymous Fri 05 Mar 2021 05:34:59 No.12791493 Report

Quoted By: >>12793122

>>12791048
You’re gonna need a 9x9 matrix

Anonymous

Anonymous Fri 05 Mar 2021 07:15:16 No.12791754 Report

Quoted By: >>12792157

>>12791048
Put it in an adjacency matrix and then churn the number. I only ever did it with a computer lmao

Anonymous

Anonymous Fri 05 Mar 2021 10:06:31 No.12792138 Report

Quoted By: >>12792163 >>12792369

Lmao wtf
You use Markov chains for math homework? No idiot youre supposed to use Markov chains for literature

Anonymous

Anonymous Fri 05 Mar 2021 10:15:03 No.12792157 Report

Quoted By: >>12792307

>>12791754
I’m baffled that they don’t use matrices for this shit in probability textbooks. Just finished reading Markov chains chapter a couple of days ago, and there was like 3 matrices in the whole chapter. Like wtf steady-state analysis is so much more clear using eigendecomposition.

Anonymous

Anonymous Fri 05 Mar 2021 10:18:04 No.12792163 Report

Quoted By:

>>12792138
wat

Anonymous

Anonymous Fri 05 Mar 2021 11:39:25 No.12792307 Report

Quoted By: >>12792335 >>12792716

>>12792157
Americans do not cover any linear algebra in public school.
No matrices, no systems of equations, no vectors, nothing. So many textbooks don't assume any knowledge of that kind of stuff.

Anonymous

Anonymous Fri 05 Mar 2021 11:56:06 No.12792335 Report

Quoted By: >>12792370

>>12792307
Nigga what are you talking about
I did all of these things

Anonymous

Anonymous Fri 05 Mar 2021 12:12:49 No.12792369 Report

Quoted By: >>12792441

>>12792138
lol, Wilson & Shea agree

Anonymous

Anonymous Fri 05 Mar 2021 12:13:07 No.12792370 Report

Quoted By: >>12793466

>>12792335
No you didn't. It doesn't show up before high school because common core and the high school math curriculum revolves around AP/ACT/SAT/etc... Nothing linear algebra related to be found. If anything you took took a college course in high school that might've had some very basic linear algebra stuff in it.

Anonymous

Anonymous Fri 05 Mar 2021 12:35:05 No.12792415 Report

Quoted By:

>>12791048
use the phi(i) equation with the .4 and .6 in it and plug in 1 through 7. you are given phi of 0 and 8. they create a system of 7 equations and 7 unknowns, which you solve for the answers.

Anonymous

Anonymous Fri 05 Mar 2021 12:37:03 No.12792424 Report

Quoted By: >>12792873

>>12791048
that paragraph is literally unreadable.

Anonymous

Anonymous Fri 05 Mar 2021 12:44:16 No.12792441 Report

Quoted By:

>>12792369
Underrated comment.

Anonymous

Anonymous Fri 05 Mar 2021 14:26:22 No.12792716 Report

Quoted By:

>>12792307
I had a linear algebra course in uni before probability, who cares about high school.

Anonymous

Anonymous Fri 05 Mar 2021 15:28:08 No.12792873 Report

Quoted By:

>>12792424
Found the poster who should stop trying to understand math and should switch his major to English Lit.

Anonymous

Anonymous Fri 05 Mar 2021 15:31:23 No.12792883 Report

Quoted By: >>12792970 >>12793112

>>12791048
We have that f(i) = (2/5) * f(i+1) + (3/5) * f(i-1)
We can rewrite that as f(i+1) = (5/2) * f(i) - (3/2) * f(i-1)

Let's say that f(1) = n
f(2) = (5/2) * n - (3/2) * 0 = 5n/2
f(3) = (5/2) * 5n/2 - (3/2) * n = 19n/4
f(4) = (5/2) * 19n/4 - (3/2) * 5n/2 = 65n/8
f(5) = (5/2) * 65n/8 - (3/2) * 19n/4 = 211n/16
f(6) = (5/2) * 211n/16 - (3/2) * 65n/8 = 665n/32
f(7) = (5/2) * 665n/32 - (3/2) * 211n/16 = 2059n/64
f(8) = (5/2) * 2059n/64 - (3/2) * 665n/32 = 6305n/128

6305n/128 = 1
n = 128/6305

Now you can just plug in n to get all the solutions.
For example f(5) = 211n/16 = 211*(128/6305)/16 = 1688/6305 = 0.2677

Anonymous

Anonymous Fri 05 Mar 2021 15:55:02 No.12792970 Report

Quoted By:

>>12792883
Nice
Gj

Anonymous

Anonymous Fri 05 Mar 2021 16:34:53 No.12793112 Report

Quoted By: >>12793215

>>12792883
Can this be programmed somehow?

Anonymous

Anonymous Fri 05 Mar 2021 16:37:50 No.12793122 Report

Quoted By:

>>12791493
Wrong

Anonymous

View Same Google iqdb SauceNAO markov.png, 12KiB, 548x113

Anonymous Fri 05 Mar 2021 16:59:43 No.12793215 Report

Quoted By: >>12793238 >>12793432

>>12793112
sure, the following python code spits out the correct values:

def f(i):
return i if i < 2 else (5/2) * f(i-1) - (3/2) * f(i-2)

n = 1/f(8)
print([f(i)*n for i in range(8)])

Anonymous

Anonymous Fri 05 Mar 2021 17:04:25 No.12793238 Report

Quoted By: >>12793313 >>12793316 >>12793334

>>12793215
this is unreadable. Java > Python

Anonymous

View Same Google iqdb SauceNAO javavspython.png, 59KiB, 814x557

Anonymous Fri 05 Mar 2021 17:23:56 No.12793313 Report

Quoted By:

>>12793238
no matter what programming language I use there is always going to be nitpicking retard like you saying I should have done it in a different language
and java is not more readable than python btw, that's just ridiculous. You're probably just saying that because you don't use python
fuck off

Anonymous

Anonymous Fri 05 Mar 2021 17:24:25 No.12793316 Report

Quoted By: >>12793334

>>12793238
Unreadable to you, fag. Go back to sleep.

Anonymous

Anonymous Fri 05 Mar 2021 17:31:26 No.12793334 Report

Quoted By:

>>12793238
>>12793316
Hello pajeet.
Java sucks ass and its syntax is ugly.

Anonymous

View Same Google iqdb SauceNAO jupyter.png, 35KiB, 1409x563

Anonymous Fri 05 Mar 2021 17:57:50 No.12793432 Report

Quoted By:

>>12793215
neat

Anonymous

Anonymous Fri 05 Mar 2021 18:07:06 No.12793466 Report

Quoted By:

>>12792370
First off every school let alone every district in the united states have different curriculums, regardless of testing and common core.

t. got out of HS in 2014, common core was already being rolled out, and algebra 1 and 2 at my school was almost entirely linear algebra. 2nd only to trig. Also the ACT has a shitload of linear algebra on it, or at least it did when I took it. idk what shit assed highschool you went to/are going to kek, but at least 7 years ago it was still common place in American education

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