you should be able to solve this

Quoted By:

Quoted By:

>>12847347

There are coefficients, just off screen. You can see the edge of the x coefficient on the lower equation.

There are coefficients, just off screen. You can see the edge of the x coefficient on the lower equation.

Quoted By: >>12847405 >>12847457

not the same equation. there's no accolade.

Solving linear problem is too easy bring me something more complex.

Solving linear problem is too easy bring me something more complex.

Quoted By:

Quoted By: >>12847510

>>12847457

I was at a presentation by some dude who did a documentary on fermat's last theorem. It was boring as shit.

I was at a presentation by some dude who did a documentary on fermat's last theorem. It was boring as shit.

Quoted By: >>12847527 >>12847543

>>12847492

Maybe a career in mathematics just isn't for you...

Have you looked at medicine, engineering or perhaps law?

Maybe a career in mathematics just isn't for you...

Have you looked at medicine, engineering or perhaps law?

Quoted By: >>12847571

>>12847457

I have discovered a truly marvellous proof of this, which this text field is too narrow to contain :P

I have discovered a truly marvellous proof of this, which this text field is too narrow to contain :P

Quoted By: >>12847617 >>12847796

Quoted By:

Quoted By:

>>12847527

yeah but application can some times make boring things fun. I find chemistry droll, but i love studying biochemistry because it actually has an application that i find interesting.

yeah but application can some times make boring things fun. I find chemistry droll, but i love studying biochemistry because it actually has an application that i find interesting.

Quoted By:

>>12847527

I am very aware of this.

However, just because a documentary about theoretical math bores this Anon to tears doesn't mean that he's *bad* at all math.

Maybe he just wants to see his mathematical skills applied to something that has more physical, consummate use.

Huh?! What about that, punk--! ;_;

I am very aware of this.

However, just because a documentary about theoretical math bores this Anon to tears doesn't mean that he's *bad* at all math.

Maybe he just wants to see his mathematical skills applied to something that has more physical, consummate use.

Huh?! What about that, punk--! ;_;

Quoted By:

for those interrested the proof of fermat's theroem

http://mathforum.org/library/drmath/view/52464.html

http://mathforum.org/library/drmath/view/52464.html

Quoted By: >>12847635 >>12847658 >>12847671 >>12847699 >>12847711 >>12848850

Pure mathematics is like studying philosophy. FUCKING USELESS.

learn something useful like physics or engineering.

learn something useful like physics or engineering.

Quoted By:

>>12847543

Hey, there you go.

After careful analysis of your preferences, I've guided you onto a new career path, towards happiness and fulfillment.

Glad I could be of some belated, psuedo-use.

Hey, there you go.

After careful analysis of your preferences, I've guided you onto a new career path, towards happiness and fulfillment.

Glad I could be of some belated, psuedo-use.

Quoted By: >>12847688 >>12847717

>>12847604

You can be a maths teacher or an accountant.

One of my friends is doing physics. He's going to be either a physics teacher or an accountant. Another is doing classics. He's going to be an accountant as well.

What does this prove? I don't know, but it's pretty funny anyway.

You can be a maths teacher or an accountant.

One of my friends is doing physics. He's going to be either a physics teacher or an accountant. Another is doing classics. He's going to be an accountant as well.

What does this prove? I don't know, but it's pretty funny anyway.

Quoted By:

>>12847604

HURR DURR NUMBER THEORY AND CRYPTOGRAPHY HURR DURRR

HURR DURR TECHNIQUES SOLVING PURE PROBLEMS ARE USED FOR SOLVING APPLIED AND VICE VERSA HURR DURR

HURR DURR NUMBER THEORY AND CRYPTOGRAPHY HURR DURRR

HURR DURR TECHNIQUES SOLVING PURE PROBLEMS ARE USED FOR SOLVING APPLIED AND VICE VERSA HURR DURR

Quoted By: >>12847708 >>12847795

>>12847604

You're just jealous of our logical purity.

Your scientific jargon is just an eventual derivative of our base genius, somewhere down the line.

You're just jealous of our logical purity.

Your scientific jargon is just an eventual derivative of our base genius, somewhere down the line.

Quoted By: >>12847809

>>12847635

>Another is doing classics. He's going to be an accountant as well.

WHAT? How does learning about philosophical and political culture in ancient historical civilisations = accounting?

>Another is doing classics. He's going to be an accountant as well.

WHAT? How does learning about philosophical and political culture in ancient historical civilisations = accounting?

Quoted By: >>12847745

>>12847671

Your "logical purity" is useless by itself.

It's only useful when WE find an application for it.

Your "logical purity" is useless by itself.

It's only useful when WE find an application for it.

Quoted By:

>>12847604

Too bad computer scientists are a subset of mathematicians. I guess you won't mind living without video compression codecs, Internet packet-switching, and the like.

Too bad computer scientists are a subset of mathematicians. I guess you won't mind living without video compression codecs, Internet packet-switching, and the like.

Quoted By: >>12847796

>>12847635

What are you yourself going into, just out of curiosity? .,. Accounting, mayhap?

If so, did they put something into the water where you and your friends live?

Oh, the conspiracy--!

What are you yourself going into, just out of curiosity? .,. Accounting, mayhap?

If so, did they put something into the water where you and your friends live?

Oh, the conspiracy--!

Quoted By: >>12847828 >>12847839

>>12847708

We do that too.

We do what you do, but better, and then have that logical purity on top of that..

We do that too.

We do what you do, but better, and then have that logical purity on top of that..

Quoted By:

>>12847671

Ha, you think your so great because you look at numbers and equations all day long? I agree that mathematics has a purpose in science and it is alright to study it, but just studying mathematics is whats silly. If all you knew was math then it cannot be applied to anything. Mathematics is just another language, one for describing situations. It is one way we can interpret the world, but knowing what the numbers mean is just as or even more important than knowing how to manipulate the numbers.

Ha, you think your so great because you look at numbers and equations all day long? I agree that mathematics has a purpose in science and it is alright to study it, but just studying mathematics is whats silly. If all you knew was math then it cannot be applied to anything. Mathematics is just another language, one for describing situations. It is one way we can interpret the world, but knowing what the numbers mean is just as or even more important than knowing how to manipulate the numbers.

Quoted By:

>>12847688

>WHAT? How does learning about philosophical and political culture in ancient historical civilisations = accounting?

Because he wants to make money, and Classics is just so he can have a Masters' to buff up his CV

>WHAT? How does learning about philosophical and political culture in ancient historical civilisations = accounting?

Because he wants to make money, and Classics is just so he can have a Masters' to buff up his CV

Quoted By: >>12847907

>>12847796

Oh. I suspected that might be the case, but it would have been really funny if you were going into accounting too.

How far are you into your medicinal studies? Medical school?

Oh. I suspected that might be the case, but it would have been really funny if you were going into accounting too.

How far are you into your medicinal studies? Medical school?

Quoted By: >>12847911

>>12847745

So all mathematicians are biochemist? interesting, interesting. I never knew mathematicians were so self conceited and retarded. No wonder they choose to go into a field that has limited usefulness for society and they will probably end up in a job that is suited for business majors.

So all mathematicians are biochemist? interesting, interesting. I never knew mathematicians were so self conceited and retarded. No wonder they choose to go into a field that has limited usefulness for society and they will probably end up in a job that is suited for business majors.

Quoted By: >>12847914 >>12847925 >>12847998

Looking at this thread I think a science or math board wouldn't that bad of an idea.

Quoted By: >>12847940

>>12847818

>How far are you into your medicinal studies?

I fail, I'm only starting at medical school in september. Looking forward to it like mad though

>How far are you into your medicinal studies?

I fail, I'm only starting at medical school in september. Looking forward to it like mad though

Quoted By: >>12847950 >>12847998

Quoted By:

>>12847875

it wouldn't be filled with any useful information and it would only have people shouting at which field was the better more important field. The possibilities would be endless, but knowing 4chan... no. it's a bad idea.

it wouldn't be filled with any useful information and it would only have people shouting at which field was the better more important field. The possibilities would be endless, but knowing 4chan... no. it's a bad idea.

Quoted By: >>12848046

White text:

Top-left:

Unsolvable

Top-middle:

x = -1, y = 1

Top-right:

Not enough information

Middle-left:

x = 5, y = 7

Center:

x = 3, y = -2

Middle-right:

Not enough information

Bottom-left:

x = 5, y = -4

Top-left:

Unsolvable

Top-middle:

x = -1, y = 1

Top-right:

Not enough information

Middle-left:

x = 5, y = 7

Center:

x = 3, y = -2

Middle-right:

Not enough information

Bottom-left:

x = 5, y = -4

Quoted By:

>>12847907

Hey, a rising first-year.

You've got a long road ahead of you. An awesome road, but a long one.

Hey, a rising first-year.

You've got a long road ahead of you. An awesome road, but a long one.

Quoted By: >>12848026

Quoted By:

>>12847911

My friends in mathematics, I was in physics until i switched into biochemistry and he always teases me about it. But either way we're better than those god damned communication students.

Oh and don't worry i'm not serious.

My friends in mathematics, I was in physics until i switched into biochemistry and he always teases me about it. But either way we're better than those god damned communication students.

Oh and don't worry i'm not serious.

Quoted By:

>HURR DURR TECHNIQUES SOLVING PURE PROBLEMS ARE USED FOR SOLVING APPLIED AND VICE VERSA HURR DURR

See >>12847853.

Calabi-Yau manifolds have been known to pure mathematicians since the 50s. However, without such structures, superstring theory would never have gotten off the ground in the 80s. Also, mining string theory has lead to additional mathematical proofs being discovered.

See >>12847853.

Calabi-Yau manifolds have been known to pure mathematicians since the 50s. However, without such structures, superstring theory would never have gotten off the ground in the 80s. Also, mining string theory has lead to additional mathematical proofs being discovered.

Quoted By: >>12848016 >>12848043 >>12848058 >>12848091 >>12848177 >>12848467

>>12847911

>Come on.

>"Logical purity?"

Randall Munroe thinks that it makes sense.

>>12847875

4chan needs:

1. A math board

2. A science board

3. An engineering board

4. A calculus quiz that all anon must pass to post on the three aforementioned boards.

5. A quiz on data structures and algorithms that is required to post on /g/

6. A well-moderated philosophy board.

>Come on.

>"Logical purity?"

Randall Munroe thinks that it makes sense.

>>12847875

4chan needs:

1. A math board

2. A science board

3. An engineering board

4. A calculus quiz that all anon must pass to post on the three aforementioned boards.

5. A quiz on data structures and algorithms that is required to post on /g/

6. A well-moderated philosophy board.

Quoted By:

>>12847945

Why yes. Sadly, (hardly) anyone posts on the text boards (or knows of their existence at all).

But yeah, may be a bad idea. At the current state it would be spammed with the LHC 24/7.

Why yes. Sadly, (hardly) anyone posts on the text boards (or knows of their existence at all).

But yeah, may be a bad idea. At the current state it would be spammed with the LHC 24/7.

Quoted By:

>>12847998

I like this idea. The first question should be "Give the epsilon-sigma definition of a limit". If you miss the question, global b&.

I like this idea. The first question should be "Give the epsilon-sigma definition of a limit". If you miss the question, global b&.

Quoted By:

>>12847923

No: the top-left one is x = 2, y = 3.

It's visible on the back layer.

The middle right one is x = -2, y = 0.

The bottom equation is pretty clearly 3x - y = -6.

No: the top-left one is x = 2, y = 3.

It's visible on the back layer.

The middle right one is x = -2, y = 0.

The bottom equation is pretty clearly 3x - y = -6.

Quoted By:

>>12847998

A /book/ board would be nice as well. We have the text boards alright, but you have more people to talk with on the image boards.

A /book/ board would be nice as well. We have the text boards alright, but you have more people to talk with on the image boards.

Quoted By: >>12848090 >>12848125 >>12848126 >>12848129

As a mathematics major, I say you're all retarded.

Engineering is applied physics.

Physics is applied mathematics.

What's there to argue? Mathematicians come up with higher-level theoretical stuff that rarely get used until somebody comes by and says "Oh hey, that'll be useful". That's all that there is to it.

Why the fuck are you all arguing about whether X field is superior to Y and all that bullshit?

>Also, mining string theory has lead to additional mathematical proofs being discovered.

HURR DURR, oh great, a person used results from another field's research to come up with more research. I bet universities should pool more of their math budget into string theory, eh? The whole point of academics is to work together and help each other gain a better and more accurate understanding of the world and/or use the knowledge to better help mankind. I don't see where you're going with this.

Engineering is applied physics.

Physics is applied mathematics.

What's there to argue? Mathematicians come up with higher-level theoretical stuff that rarely get used until somebody comes by and says "Oh hey, that'll be useful". That's all that there is to it.

Why the fuck are you all arguing about whether X field is superior to Y and all that bullshit?

>Also, mining string theory has lead to additional mathematical proofs being discovered.

HURR DURR, oh great, a person used results from another field's research to come up with more research. I bet universities should pool more of their math budget into string theory, eh? The whole point of academics is to work together and help each other gain a better and more accurate understanding of the world and/or use the knowledge to better help mankind. I don't see where you're going with this.

Quoted By:

Quoted By:

>>12847998

Indeed, I agree with him. I smiled at that strip.

But I wouldn't seriously use a claim (or that phrase) like that in an argument with a hard science major, much less on /a/.

That was my point.

Indeed, I agree with him. I smiled at that strip.

But I wouldn't seriously use a claim (or that phrase) like that in an argument with a hard science major, much less on /a/.

That was my point.

Quoted By: >>12848315

>>12848068

Actually, I was AGREEING that discoveries in mathematics can lead to discoveries and revelations in other fields and vice versa. Also, I AGREE with everything you just stated in your rant. Completely.

Asshole.

Actually, I was AGREEING that discoveries in mathematics can lead to discoveries and revelations in other fields and vice versa. Also, I AGREE with everything you just stated in your rant. Completely.

Asshole.

Quoted By: >>12848315

>>12848068

D:

I'm a math major too.

You just called your comrade-in-arms retarded.

We're having fun with this--you just pulled a really dick move.

D:

I'm a math major too.

You just called your comrade-in-arms retarded.

We're having fun with this--you just pulled a really dick move.

Quoted By: >>12848242 >>12848249 >>12848294 >>12848310

>>12847998

>1. A math board

It would be the slowest board, or the most shitstorm filled board ever. I'm intrigued.

>2. A science board

Meh. Don't feel like it's going to take off.

>3. An engineering board

We already have /g/ (yes, it sucks).

>4. A calculus quiz that all anon must pass to post on the three aforementioned boards.

Pssh, mathematics contests don't include calculus problems for a reason. They're nothing special. You need real conceptual questions from fields like set theory.

>5. A quiz on data structures and algorithms that is required to post on /g/

Wikipedia has the answers to practically every widely used algorithm. I doubt it'll be any useful. If anything, it'll be a nuisance to real contributors.

>6. A well-moderated philosophy board.

Hahaha, no.

>1. A math board

It would be the slowest board, or the most shitstorm filled board ever. I'm intrigued.

>2. A science board

Meh. Don't feel like it's going to take off.

>3. An engineering board

We already have /g/ (yes, it sucks).

>4. A calculus quiz that all anon must pass to post on the three aforementioned boards.

Pssh, mathematics contests don't include calculus problems for a reason. They're nothing special. You need real conceptual questions from fields like set theory.

>5. A quiz on data structures and algorithms that is required to post on /g/

Wikipedia has the answers to practically every widely used algorithm. I doubt it'll be any useful. If anything, it'll be a nuisance to real contributors.

>6. A well-moderated philosophy board.

Hahaha, no.

Quoted By:

Quoted By: >>12848301 >>12848415

>>12848177

>Pssh, mathematics contests don't include calculus problems for a reason. They're nothing special. You need real conceptual questions from fields like set theory.

It's not a contest. It would just be a means of keeping out high school kids who want help with their homework.

>We already have /g/ (yes, it sucks).

/g/ thinks that "technology" is desktop widgets...

>Wikipedia has the answers to practically every widely used algorithm. I doubt it'll be any useful. If anything, it'll be a nuisance to real contributors.

That's why you don't name the algorithm. You give them a little code and ask them to identify it. It's not like they can throw some random C code into google and get a meaningful answer.

>Hahaha, no.

Why not?

>Pssh, mathematics contests don't include calculus problems for a reason. They're nothing special. You need real conceptual questions from fields like set theory.

It's not a contest. It would just be a means of keeping out high school kids who want help with their homework.

>We already have /g/ (yes, it sucks).

/g/ thinks that "technology" is desktop widgets...

>Wikipedia has the answers to practically every widely used algorithm. I doubt it'll be any useful. If anything, it'll be a nuisance to real contributors.

That's why you don't name the algorithm. You give them a little code and ask them to identify it. It's not like they can throw some random C code into google and get a meaningful answer.

>Hahaha, no.

Why not?

Quoted By:

>>12848177

I suspect it'll be an everlasting shitstorm with threads about:

1/0 OH SHI-

0.999 is (not) 1

If you're having problems with basic shit like this while you're in college, kill yourself.

I suspect it'll be an everlasting shitstorm with threads about:

1/0 OH SHI-

0.999 is (not) 1

If you're having problems with basic shit like this while you're in college, kill yourself.

Quoted By:

>>12848249

>why not?

He probably means that all these ideologies will lead to an eternal shitstorms. He does seem right, it should happen frequently on /r9k/, and a lot on old /b/.

>why not?

He probably means that all these ideologies will lead to an eternal shitstorms. He does seem right, it should happen frequently on /r9k/, and a lot on old /b/.

Quoted By: >>12848372

>>12848177

>Pssh, mathematics contests don't include calculus problems for a reason. They're nothing special. You need real conceptual questions from fields like set theory.

You sound like someone who used to be a USAMO enthusiast, or something along those lines.

... What the fuck are we doing on /a/?

>Pssh, mathematics contests don't include calculus problems for a reason. They're nothing special. You need real conceptual questions from fields like set theory.

You sound like someone who used to be a USAMO enthusiast, or something along those lines.

... What the fuck are we doing on /a/?

Quoted By: >>12848503 >>12849433

>>12848126

>>12848129

I swear you two were actually arguing while one was trolling the other. My apologies then. Carry on.

>>12848129

I swear you two were actually arguing while one was trolling the other. My apologies then. Carry on.

Quoted By:

>>12848310

I don't know anybody who is competent at the IMO and is not up to at least partial differentiation for e.g. checking concavity/convexity for Jensen's...

I don't know anybody who is competent at the IMO and is not up to at least partial differentiation for e.g. checking concavity/convexity for Jensen's...

Quoted By:

>>12848249

It's not a contest, but it's a test to weed out the weak and high schoolers. Why include calculus in it to begin with?

It's not a contest, but it's a test to weed out the weak and high schoolers. Why include calculus in it to begin with?

Quoted By: >>12848533

Quoted By: >>12848495 >>12848513 >>12848536

>>12848299

You know what the worst part is?

Everyone who SHOULD be in /g/ has to talk about this shit in /a/ because /g/ has a terminal case of idiocy.

/a/ is more intelligent than the "nerd" board...

You know what the worst part is?

Everyone who SHOULD be in /g/ has to talk about this shit in /a/ because /g/ has a terminal case of idiocy.

/a/ is more intelligent than the "nerd" board...

Quoted By: >>12848518

Quoted By:

Quoted By: >>12848537

>>12848455

watching anime doesnt make you smart infact is proven that you get stupider, look at ur self for example

watching anime doesnt make you smart infact is proven that you get stupider, look at ur self for example

Quoted By: >>12848558

>>12848495

I suppose there is a correlation between animu enjoyment and science proficiency.

I suppose there is a correlation between animu enjoyment and science proficiency.

Quoted By:

Quoted By: >>12848552 >>12848568 >>12848573 >>12848618

>>12848455

And /r9k/ has better Cowboy Bebop discussions than /a/

Welcome to 4chan, where EVERY BOARD IS A MYSTERY

And /r9k/ has better Cowboy Bebop discussions than /a/

Welcome to 4chan, where EVERY BOARD IS A MYSTERY

Quoted By:

>>12848537

>http://en.wikipedia.org/wiki/Ur

>Ur was an ancient city in southern Mesopotamia (modern day Iraq), located near the mouth (at the time) of the Euphrates and Tigris rivers on the Persian Gulf and close to Eridu

THE MORE YOU KNOW

>http://en.wikipedia.org/wiki/Ur

>Ur was an ancient city in southern Mesopotamia (modern day Iraq), located near the mouth (at the time) of the Euphrates and Tigris rivers on the Persian Gulf and close to Eridu

THE MORE YOU KNOW

Quoted By:

>>12848536

Did we ever "discuss" Cowboy Bebop? It's usually only a mixture of "DUBS VS SUBS", "SPIKE DIES", and "Cowboy Bebop at his computer".

Did we ever "discuss" Cowboy Bebop? It's usually only a mixture of "DUBS VS SUBS", "SPIKE DIES", and "Cowboy Bebop at his computer".

Quoted By: >>12848609

>>12848536

>>And /r9k/ has better Cowboy Bebop discussions than /a/

Not hard to do that. Just stop fapping to Spike and stop thinking the last 2 episodes are the GREATEST EPISODES OF ANIME EVER CREATED.

Suddenly...Cowboy Bebop discussions become a whole lot more 'intellectual'.

>>And /r9k/ has better Cowboy Bebop discussions than /a/

Not hard to do that. Just stop fapping to Spike and stop thinking the last 2 episodes are the GREATEST EPISODES OF ANIME EVER CREATED.

Suddenly...Cowboy Bebop discussions become a whole lot more 'intellectual'.

Quoted By: >>12848607

The important thing is that /a/ has better /u/ than /u/.

That's why I keep coming back.

That's why I keep coming back.

Quoted By:

>>12848585

... /a/ has good /u/?

Have I been missing these awesome threads?

I only ever see the "HOMO threads" and I think "Damn, I wish /a/ would get some /u/ in here."

... /a/ has good /u/?

Have I been missing these awesome threads?

I only ever see the "HOMO threads" and I think "Damn, I wish /a/ would get some /u/ in here."

Quoted By: >>12848659

>>12848573

>Cowboy Bebop discussions become a whole lot more 'intellectual'.

I used to think "Intellectual" was good, until people started slinging round empty useless words like 'Pretentious'

>Cowboy Bebop discussions become a whole lot more 'intellectual'.

I used to think "Intellectual" was good, until people started slinging round empty useless words like 'Pretentious'

Quoted By: >>12848721

Quoted By: >>12848694 >>12848769

>>12848609

My point was pointing out that Cowboy Bebop is a show that doesn't need to be talked about in an intellectual manner. Nor debated up to high heaven in a 200 post thread where we psychoanalyze Spikes motives or what characters 'felt' in situations or all that shit.

Yet people do all the time. Hence the use of the ' '

My point was pointing out that Cowboy Bebop is a show that doesn't need to be talked about in an intellectual manner. Nor debated up to high heaven in a 200 post thread where we psychoanalyze Spikes motives or what characters 'felt' in situations or all that shit.

Yet people do all the time. Hence the use of the ' '

Quoted By:

>>12848659

People find decent detailed discussion about Gurren-Lagann, i'm sure they can do it for Bebop

Then again, G-L has lots of underlying themes and references to old lore.

People find decent detailed discussion about Gurren-Lagann, i'm sure they can do it for Bebop

Then again, G-L has lots of underlying themes and references to old lore.

Quoted By: >>12848746

>>12848635

>>12848635

last time i was in /an/ they were having a wild thread about Ginga Nagareboshi Gin

>>12848635

last time i was in /an/ they were having a wild thread about Ginga Nagareboshi Gin

Quoted By: >>12848892

Quoted By:

Quoted By: >>12848948 >>12848953 >>12848955

You know what's funny?

politicians make more money than people with MATH DEGREES, and all they did and do is PARTY.

politicians make more money than people with MATH DEGREES, and all they did and do is PARTY.

Quoted By:

Quoted By: >>12849124

>>12848953

>>12848953

dunno what an mp is???

so i dont know if what they are getting pay is a fair amount of money in exchange for their labor???

>>12848953

dunno what an mp is???

so i dont know if what they are getting pay is a fair amount of money in exchange for their labor???

Quoted By: >>12849224 >>12849229

>>12849124

Reminds me of my days as a copy editor.

We'd get "Letters to the Editor" that were really vehement, and had something like six exclamation points at the end of every sentence by the end of the letter.

I hated copy editing those.

Reminds me of my days as a copy editor.

We'd get "Letters to the Editor" that were really vehement, and had something like six exclamation points at the end of every sentence by the end of the letter.

I hated copy editing those.

Quoted By: >>12849238

>>12849181

you were never an copy editor!!!!!!! have fun writing letters to answerman. fagot!!!!!

you were never an copy editor!!!!!!! have fun writing letters to answerman. fagot!!!!!

Quoted By: >>12849320

What graphing slopes...?

Pfft, I solved this stuff in 4th grade, hard mode please.

Pfft, I solved this stuff in 4th grade, hard mode please.

Quoted By: >>12849269

Quoted By: >>12849346 >>12849483

>>12849228

Is \choose{2n}{n} divisible by the square of a prime for all n > 4?

Is \choose{2n}{n} divisible by the square of a prime for all n > 4?

Quoted By:

>>12848315

I could swear that they aren't isomorphic. Let's label the outside points of the pentagons 1~5 in a clockwise manner and the inside points 6~10, also clockwise. Now, we can see that no two points are really any different, since we can rotate it about or move the inner pentagon outward and get the same graph, so this means that for naming our first point on the triangle we can choose anything we like: let's put point 1 in the center. Now we see that 2 and 5must be on the midpoints to the center lines: all six choices are symmetric, so we really only need to analyze one case. For 3 and 4, since they must be adjacent to each other and 2 and 5 respectively, we can only construct one valid positioning (I trust that you can see it on your own). Now to label 6~10 we can simply look at each vertex 1~5 and see which unassigned vertex is connected to it, then add five. Now if the graphs are isomorphic, vertices 6~10 will form a 5-cycle in order, but we see that, while the do form a 5-cycle, they are out of order, so, since we can't resolve the problem through our assigning of 1~5 (since any choices were just symmetries), the graphs can't be isomorphic. (Sorry if I've done anything wrong, I've yet to take a graph theory course [also, no one better have ninja'd me])

I could swear that they aren't isomorphic. Let's label the outside points of the pentagons 1~5 in a clockwise manner and the inside points 6~10, also clockwise. Now, we can see that no two points are really any different, since we can rotate it about or move the inner pentagon outward and get the same graph, so this means that for naming our first point on the triangle we can choose anything we like: let's put point 1 in the center. Now we see that 2 and 5must be on the midpoints to the center lines: all six choices are symmetric, so we really only need to analyze one case. For 3 and 4, since they must be adjacent to each other and 2 and 5 respectively, we can only construct one valid positioning (I trust that you can see it on your own). Now to label 6~10 we can simply look at each vertex 1~5 and see which unassigned vertex is connected to it, then add five. Now if the graphs are isomorphic, vertices 6~10 will form a 5-cycle in order, but we see that, while the do form a 5-cycle, they are out of order, so, since we can't resolve the problem through our assigning of 1~5 (since any choices were just symmetries), the graphs can't be isomorphic. (Sorry if I've done anything wrong, I've yet to take a graph theory course [also, no one better have ninja'd me])

Quoted By:

>>12849320

For any prime squared, there exists infinitely many integers for which (C(2n,n),p^2) = 1

This is still an unsolved problem, I wanted hard mode, not lunatic...

For any prime squared, there exists infinitely many integers for which (C(2n,n),p^2) = 1

This is still an unsolved problem, I wanted hard mode, not lunatic...