You should be able to solve this

too advanced for me

>>149577669

Why is it always "should"? Can't you just say "you can solve this!".

>>149577669
he's just practicing separating variables into solvable components- such that if there were an initial condition like f(x)=0 there would be a set of possible solutions

xy^2-x=0
x(y^2-1)=0
x(y-1)(y+1)=0
x=0;1;-1

>>149577669
Factoring is basic high school math, but I had a surprisingly hard time with it myself once it got a bit harder.

>>149577669
=x(y+1)(y-1)

>>149577669
I don't get the point of this Thread.
Is it to show how hard japanese school is? Is it making fun of learning factorisation by rote repetition? Is it making fun of Americans for not knowing this? Is OP just shitposting? Is this an in-joke i don't get? I honestly don't know.

honestly don't remember how to do this

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>>149578033

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>>149578235

Thank you.

>>149578033
Was just about to point that

>>149577669
>10th grade
Sounds about right. You could do it in middle school, but then you will need to redo it in high school since it's needed for calculus.

>>149577944
>he
she

>>149577669
i had math like this in 10th grade and im in america, it's not hard

i dont get it, is this a ruse

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Oh god... I have no idea anymore how to solve this. All I know is that it was pretty easy back when I had that in school

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>>149577669
Is Cummyko a dummy just like her sister

>>149578512

You just figure out the common denominator and stuff it in brackets.

>>149577669
What do you mean solve it? (x^2)y - x isn't solvable unless you set it equal to something.

>>149578177
It's many different things. Here it was done because the animator / Kumiko made a mistake (it's 16x^2 - 4 instead of 15x^2 - 4).

http://desuarchive.org/a/search/text/you%20should%20be%20able%20to%20solve%20this/

>>149577971
Why do you assume x = y?

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>>149578605
just think about solving the problem, not an equation. Also pic related.

>>149577669
Old EGB had this at 8th grade

>>149578235
In question 3 where does the -1 come from

>>149578886
something something finite fields

>>149577669
Isn't this middle school shit?

>>149578979
how old are you anon ? you should've studied when you were at 8th grade

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>>149578979

>>149579164

it's easy to forget without using it every day

>>149577977
I was fine with it at first and then my math teacher got pregnant and the substitute we had for the rest of the year was fucking awful.

>>149578033
Silly anon 15=16 in nippland

>>149578979
-X divided by X is -1
or
-X = -1X so if you take the X away you have -1

I'm convinced i never got anything like this up until i went to college.

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You should be able to solve this.

>>149579492
14:24
7:12

>>149579556
no
that figure alone won't tessellate across the plane. You need to extrapolate what the ratio is for that pattern, not necessarily that piece.

>>149579492
14:48
7:24

I was sure some autistic guy would make thread about this when I watched the episode.

>>149579492
Assuming there isn't any funny business with the angles or some bs like taking the black borders into consideration
There is 1 red to 2 blue, so red is 1/3 of the overall area

>>149579619
still no
that is the ratio for the figure, but not the whole plane. You can try adding more shapes (in the same pattern) so you can tile the figure over the plane.

>>149579653
no
it's not 1 unit red to 2 unit blue. Right idea though

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Kurisu thinks you can solve this one too.

>>149579619
This.
>>149579596 is wrong, but >>149579556 is also wrong. I don't think you can extrapolate a pattern because the question implies that the method of spreading this pattern is just tesselating that piece across a field.

>>149579659
Man then I'm too dumb to get this, I still haven't passed Linear Algebra ;_;

>>149579492
1:4
For every blue hexagon there are 2 red triangles, and 1 hexagon has 6 times the area of 1 red triangle. So the ratio of red to blue is 1:3, and the ratio of red to the total area is 1:(3+1) = 1:4.

>>149579717
I hate eigan vectors. I like did the exam on this 3 weeks ago. Let me get some paper.

>>149579717
25%

>>149578886
0=26, duh

>>149579723
>>149579757 is the intended solution. The idea is the pattern on the figure is extended to the plane, not that the figure is tessellated across the plane. For that matter, the figure doesn't tessellate cleanly without leaving gaps where you need to insert pieces.
>>149579814 yes

Saged, not anime related.

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Here's a solution for >>149579492 from a while back (not my image, not my typesetting, not my typo).

>>149579787
It's kind of neat math.

>>149579754
you don't need linear algebra for either problem (though you do for the Hard Mode for the Markov Chain one)
The first you can do with some ratios, the second needs a little creativity and some algebra.

>>149579164
I'm in the lowest remedial algebra class in college, don't bully me.

>>149578886
Elaborate. You can't solve just the variable x because that has no actual information associated with it.
Also, the answer to your picture is false.

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>>149580007
This is a Kurisu Appreciation thread.

Here's the Hard Mode someone did for >>149579717.

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>>149580007

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>>149580064
Yeah, that's an identity, not an equation. A false identity for that matter.

>>149579757
did you get to that +1 by looking at the hexagon that is sticking out if you tried to translate all this into one giant piece? or is there a more algebraic approach?

>>149580200
Sorry, the ratio of red to blue is 1:3. the ratio of red to total, though, is 1:(3+1)

>>149580240
fuck you

>>149580240
a.) P = 1
b.) P = 0; N=/=0

>>149580304
Good job, anon.

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looks like a dead thread. here's another problem. I'll dump solutions too.

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answer for this one is 1/2, the reason is that both your seat and last seat end problem and are treated the same throughout the math.

>>149580643
1/99nCr99?
I'm really terrible at math

>>149580240
psst, I will tell you a secret

It's P = NP or P ≠ NP

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>>149579717
Behold the power of an engineer.

>>149579814
But why?

>>149580725
what if you sit in the last guy's seat?
what if you sit in your own?

>>149580791
0, I guess?
Depends on if the other people know their seats

>>149580830
they do

>There are people here who took remedial math or never did Calculus in High School

Seriously. Your graphing calculator did half the work for you. No excuse.

>>149580851
100% or is it a trick question?

>>149580871
what if you sit in the last guy's seat

>>149580909
0% because his seat is taken. I don't understand what you're trying to get me to say here

>>149580932
I'm saying it's between 1/100 and 99/100
so probably not crazy nPr or nCr stuff

>>149580961
Ah, I felt like nCr combinations was the most likely answer because I assumed seats were picked simultaneously and not over time like in your answer

>>149581005
doing this one with pure math is a little bit cancer. It helps to start some of the math the long way and check patterns.
or try cases with different numbers of seats then extrapolate

>>149581062
>or try cases with different numbers of seats then extrapolate
Applying statistics to probability? I learnt both but never together so that seems overly complicated. Really, all I got was nPr arrangements, nCr combinations and !factorial

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>>149580718
>>149580725
>>149580961
>>149581118
This isn't fucking anime.

>>149578797
He doesn't, you're just an idiot.

>>149581118
It helps to recognise patterns in this situation. sometimes seeing how the math plays out with smaller numbers can suggest how it works for larger numbers.

>>149580765
>matlab
>>matlab
>>>matlab

As another engineer, why is your taste in programming languages so terrible.

>>149580862
You mean no one gives a fuck about my grades in classes about gender studies and black history?

>>149581216
It's a Kurisu appreciation thread.

>>149580643
I would think it's 1/100 at first (including the first passenger, yourself), going down to 1/2. You multiply them all to assess the final probability of no one ever choosing that one guy's seat.

But that's based on my non-advanced math memory from years ago. So chances are I'm way wrong.

Or wait, since it's about not ever choosing the one seat, maybe it would be 99/100, then 98/99, finally down to 1/2.

>>149580643
50%, as the way the seats are filled is essentially completely random.

>>149581330
I only used it because I don't normally use numpy on this computer and I couldn't be assed to figure out how to start the Anaconda implementation. When will Julia finally replace Matlab?

>>149578035
This, Jesus, it's a simple polynomial. I fucking hate you people.

>>149580643
50%, because he can either be in it or he can't be
66% if he switches after one of the other seats is revealed

>>149580643
You can't board a plane without your boarding pass. FUCK YOU.

>>149581444
I'm not sure, but definitely later than it should. Either way, I've just completely switched to python for high level stuff / Rust for low level stuff. Fucking random java runtime errors from matlabs IDE drove me insane.

Matlab is a programming language designed by people who had no knowledge of other programming languages and it really shines. Who the fuck thought it was a good idea to have functions which change their behaviour based on the amount of output arguments.

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>>149580765
I did it in Matlab too.

>>149581062
It's easier to just do cases for 3 / 4 / 5 seats and use induction to show that the amount of seats doesn't matter at all.

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How do I not fail Adv Calc?

>>149581697
use a calc

>>149581697
Understand that all math you learned before is just a specific case of linalg and complex math.

>>149580200
It's obvious if you look at a single horizontal strip of the tessellation, rather than the entire plane.

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>>149581475
Sounds legit.

>>149580643
You can prove this easily by induction.

>>149579492
A plane extends to infinity, therefore the area of the red triangles is also infinity.

>>149581259
He goes from this line:
x(y-1)(y+1) = 0
to:
x = 0;-1,1
That implies x = y. It should be:
x = 0; y = -1,1

>>149581910
the ratio
infinity over infinity is often a number

>>149581805
try to explain why the answer is true though. There's an intuitive explanation.

>>149582441
http://desuarchive.org/a/thread/143400168/#143414946

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>>149580643
Should be 1-(1+ 2! + 3! +... 99!)/100!
I have no idea how to simplify this further, though.

Here is one that requires nothing but basic operations and is still very tricky.

>>149583231
>1-(1+ 2! + 3! +... 99!)/100!
lolno

>>149581697
just get a C

>>149583231
>to different integers

>>149578177
Here's a problem for you

Lurk moar
You should be able to solve this

>>149583231
I have no clue how to solve this
1<x<y<98
x+y<100

I'm guessing it has something to do with more than one solution until they converse. Hint please.

>>149583432
The first person has a 1/100 chance to sit on guy X seat. The second person has a 1/100 x 1/199 chance to do so. Because he will only do so if the first person sits on his seat (1/100 chance) and even then he has only a 1/99 chance, because he then randomly selects a seat. For the next person it's multiplied by 1/98 and so on.
So we get 1/100 + 1/100 * 1/99 + 1/100 * 1/199 * 1/98 ....
The last addend (n) of this sum is 1/100!. n-1 is 1/100! x 2!, n-2 is 1/100! x3!
This can be simplified to (1+ 2! + 3! +... 99!)/100! by factoring out 1/100!

>>149583432
Congratulations you found a typo.

>>149581697
Actually learn math as in read and understand all the fucking definitions and theorems, read as many proofs as provided in lectures and textbook, and do the problems in the book.
Abuse office hours as necessary.

>>149583231
Any two primes?

>>149583687
oops, first reply was meant for >>149583389

>>149583632
Yes, you need to think about what numbers are or are not possible based on the conversation. E.g.
If the numbers were 1 and 2 the product would be 2. The only possible way a product of 2 could be formed by two different integers would be with the numbers 1 and 2. So P would know the numbers but he says he doesn't. Therefore 1 and 2 is impossible as the solution.

>>149583697
nope.

>>149583231
Why would knowing that knowing the sum doesnt help solve this end up helping solve this

>>149583798
Are you retarded? That is exactly what my term is expressing.

>>149583687
Alright, I found the flaw in your calculations.

The third person does not have a 1/100 * 1/199 * 1/98 chance of sitting in that guy's seat.

>>149583842
See >>149583778
If you know that knowing the sum doesn't help, that rules out certain possibilities. You must solve this step by step, though. So first you should think about Ps first statement, before S can ame sense.

>>149583888
Why not?

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/fit/ could solve this problem and they're retarded. You can do better right /a/?

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>>149579492
If we assume one row extends horizontally, there are 2 triangles per 1 hexagon.
Geometrically we know a hexagon has six times as many units of area as a triangle.
So we get 2 (2 * 1) units of triangle area per 6 (1 * 6) units of hexagon area, so the ratio is 1 red : 3 blue.

>>149578235
Thanks

>>149579492
Looks like 2:9

If you consider a "big" hexagon that's 3 "little" hexagons across, that should tesselate. That big hexagon will be made up of 7 little hexagons and 2 little hexagons' worth of red.

>>149583231
3 and 4?

>>149584067
Disregard this, this wouldn't give the right pattern on the whole plane.

>>149583932
You're calculating the probability of the third guy occupying the last guy's seat assuming the last guy's seat isn't already occupied by the first two.

So when the third guy comes in, you calculate the probability of his seat being occupied, then the probability of him occupying the last guy's seat.

Probability of first guy occupying third guy's seat: 1/100
Probability of second guy occupying third guy's seat: 1/100*1/99
Add them together to get 1/99.

The probability of him occupying last guy's seat is thus 1/99*1/98.

You can extend that to get 1/98*1/97 for the fourth guy, 1/97*1/96 for the fifth guy, and so on.

>>149583941
/fit/ couldn't figure out that a kilogram of steel weighs the same as a kilogram of feathers.

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Ehh? Easy modo??

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>>149583941

>>149584093
Nope.
>P says he doesn't know the numbers
Okay, fine so far. 3*4 is 12. 12 could result from 3*4 but also from 2*6
>S says he knows that P doesn't know them.
Here 3;4 is disproven. The sum of 3 and 4 is 7.
A sum of could resut from the numbers 2 and 5.
2 and 5 would result in a product of 10.
A product of 10 could only result from the numbers 2 and 5.
Therefore S could not know that P doesn't know the numbers if they were 3 and 4.

>>149584012
This guy knows what's up.

>>149584179
https://desuarchive.org/fit/thread/39289150/#39290133

>>149583231
lets give people a bit of a head start.

P: "I can't find these numbers" - x and y cannot both be primes otherwise a unique solution exists based on the product.

S: "I was sure you couldn't find them, I cannot find them either" - the sum reveals that x and y cannot both be primes. So the sum must be a number 4 < S < 100 that cannot be composed by adding two primes (with the exception of 1) together. This is true for the following numbers S: 11, 17, 23, 27, 29, 35, 37, 41, 47, 51, 53, 57, 59, 65, 67, 71, 77, 79, 83, 87, 89, 93, 95, 97.

P: "Then I found these numbers" - only one X/Y combination exists that can result in one of these S numbers and the known P

S: "If you could find them, then I also find them" - while knowing the S, just knowing that knowing P for the multiple S numbers is enough to solve it allows you to solve it without knowing P.

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Reminder that Rikka, a canon r-tard, made a 50 on this test in 1 hour. You should be able to do at least as well.

>>149577971
Nope, x= 0,y = 1,-1

>>149577669
problem number three is wrongly solved.
4 is not a factor in that expression, so taking it out is not correct. if we are to use one of the quadratic statements (english is not my mother tongue) to factorize then the answer should be :
(sqrt(15)*x + 2)*(sqrt(15)*x - 2)
the problem number 5 is nearly completed by the character. it is supposed to be:
x(y+1)(y-1)

>>149584291
>2a^2 + 9/16
>a^2 - 4b^2
>6x^2 + 5x + 2
that's the first three, did I fuck up?

>>149584160
True, I forgot that the first person might sit on the third persons sit and that it thus needs to be added.

>>149583231
6 and 5?

>>149584524
Got the first one wrong, that would be 4a^2 + 3a + 9/16 when just writing it out (although I think the exercise would be in zero-finding, which would be at:
> a = -3/8
> a = 2b | a = -2b
>x = -1/2 | x = -2/3

Sorry, I'm more of a brawn person than a brain person

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I always lurk Kurisu Appreciation threads because they make me feel dumb. It's a good feeling.

>>149584524
Third should be 6x^2 + 7x +2

>>149577669
>10th grade
I was doing this in 8th grade.

>>149584244
You are correct, except that I don't quite follow the last part, which I didn't think about so abstractly, but rather with numbers later.

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>>149584627
Ah fuck you're right I was treating them as individual parts, I remember having that same problem back in highschool.
>>149584713
And not double checking the simple stuff too.

>>149584244
Additionally P < 1600 as larger numbers would result in only one X and Y combination with S < 100.

>>149577669
x=0
y=+-1

>>149584750
That's amazing! Can I have your autograph?

>>149584765
I'm trying to think of a smart way to solve it instead of bruteforcing it from the limited set of possibilities, but that's probably just not possible.

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>is a math thread
I don't need a reminder you fucks

>>149584625
No.
>P says he doesn't know the numbers
Fine so far.
>S says he knows that P doesn't know them.
Fine sor far.
>P know knows the number
If 5 and 6 were correct, p would know the product 30. 30 could come from 2 and 15 or 5 and 6 (among others) one would result in S=17, the other in S=11.
Both 11 and 17 result in S knowing that P doesn't know the number. Therefore S can't distinguish between 2;15 and 5;6

>>149584859
You can't really brute force it entirely without a PC or investing a lot of time. But it's difficult enough even if you go through it step by step with numbers.

>>149584750
I wad doing that in my fathers balls desu, senpai.

>>149583231
2 and 9?

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>>149585207
Stop guessing.

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>sono kanji doko you're a giant dumb dumb
i've made my peace.

>>149583231
I have a similar problem:
>A asks B how many children he has and their age
>B answers that he's father of 3 males, but states that A should guess their ages
>A agrees
>First clue, the product of their ages is 36
>A replies that he needs more clues
>B points at a civic number and states that's the sum of his children's ages
>A thinks about it and states he needs another small clue
>B tells him that he's out buying a present for the oldest son, since tomorrow is his birthday
>A guesses their ages right
What are they?

>>149585857
what is a civic number

>>149585949
I guess they're only used in yuropoor or they have a different name, sorry
It's a number assigned to any house for specifying an address, but for the sake of the problem you can also imagine A telling B the sum, it's just worded so that we who read don't have the information

>>149585857
2 2 9

>>149586055
Correct! You can word the last part to be a bit more muddy but once you got what you have to do it's pretty easy even to bruteforce it

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here's an easy one

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>>149586270

>>149586463
this tbqh

>>149577669
>15x^2 - 4
>4(4x^2 - 1)
wut

>>149577971
They aren't even equations so I don't know why you're attempting to solve for x here. They're quadratic polynomial expressions that she's just factoring out. It's basic middle/high school shit.

>>149584244
Anyone brute force this yet?

>>149581697
Work really really hard. If that doesn't work, offer the teacher sex for good grades.

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>>149584291
>r-tard
this isn't reddit

>>149584291
This test is boring. It's all just the same menial arithmetic calculations over and over again. Fucking Japs and their slave mentality.

>>149580304
b.) N =/= 0, P =/= N

>>149587529
I meant just P =/= N

>>149577669

I should be able to stop drinking too, but that ain't happening

>>149584291
The right half of that test, particularly numbers 1 and 4 look like a bitch in terms of showing all your work.

>>149584291
Why the fuck would you even expand most of those? It makes the math much nicer to not expand it.

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You should be able to solve this, /a/.

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Moshi moshi abstract nonsense desu

>>149588105
The answer is suicide.
Is it really? I don't even remember what happened to her mom

>>149588154
Ahem... Teacher, I believe I know the answer!


Is it:
"PLEASES OLD MEN FOR MONEY?"

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Part b here showed up on my midterm a few hours ago. I wrote something down but it was probably wrong. Any statfags here that can help me out?