Mathematics Thread

[ben1996123]

IT WASNT ME, i DID IT!

 

[5BLD]

Calculator/Math Thread

Lol why did i actually laff at it, the 3 times that i watched it

 

[ThomasJE]

Anybody in the UK doing the UKMT Intermediate Maths Challenge?

 

[ben1996123]

Anybody in the UK doing the UKMT Intermediate Maths Challenge?

I did it last year and got gold

omeglepeople are morons

Question to discuss: Teach me something!
You: ok
You: e^x is periodic
Stranger: ok this will work no matter what
Stranger: think of a number
You: x
Stranger: times it by two
You: 2x
Stranger: add 60
You: 2x+60
Stranger: then subtract half of the original number you thought of
You: 3x/2 + 60
Stranger: and your answer will always be 30
Stranger: no matter what
You: no it wont
Stranger: yes.. it will
You: sure, all numbers are the same as -20 arnt they

 

[Ryntak94]

Im a senior in high school I'm currently in Calculus AB. (Calculus 1). The hardest math class I've taken was Algebra I in 8th grade, and Calculus so far has been the easiest. I think I'm screwed up but oh well.

 

[5BLD]

Calculator/Math Thread

I did it last year and got gold

omeglepeople are morons

Question to discuss: Teach me something!
You: ok
You: e^x is periodic
Stranger: ok this will work no matter what
Stranger: think of a number
You: x
Stranger: times it by two
You: 2x
Stranger: add 60
You: 2x+60
Stranger: then subtract half of the original number you thought of
You: 3x/2 + 60
Stranger: and your answer will always be 30
Stranger: no matter what
You: no it wont
Stranger: yes.. it will
You: sure, all numbers are the same as -20 arnt they

Lol juanbei disgai is so stchewpith
Also last year ididit and got górd and did olympiad aswerr... Oarso i had to do it this year and presumably next year aswerr
I wana do thy senior one though cuz interesting

 

[ben1996123]

http://www.wolframalpha.com/input/?i=fluttershy+curve
http://www.wolframalpha.com/input/?i=my+little+pony+curve

HAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA ONBE

 

[5BLD]

Calculator/Math Thread

We should make a parametric curve formula thingy generator (just loads of heaviside step and stuf) and make a proper fluttershy curve.

 

[ThomasJE]

I did it last year and got gold

Same; I got 93; the best in my school.

Lol juanbei disgai is so stchewpith
Also last year ididit and got górd and did olympiad aswerr... Oarso i had to do it this year and presumably next year aswerr
I wana do thy senior one though cuz interesting

I also got through to the Olympiad and got 36.

I did the Junior challenge in 2011 (Y8) and also got to the Olympiad where I got 28. So I've got through to the Olympiad in the two I've done.

The results for this year are up.
http://www.mathcomp.leeds.ac.uk/individual-competitions/intermediate-challenge/

 

[ben1996123]

Same; I got 93; the best in my school.



I also got through to the Olympiad and got 36.

I did the Junior challenge in 2011 (Y8) and also got to the Olympiad where I got 28. So I've got through to the Olympiad in the two I've done.

The results for this year are up.
http://www.mathcomp.leeds.ac.uk/individual-competitions/intermediate-challenge/

erkie so im gonna do that now cuz im board

...

ok done. I did every question and got them all right, with 25 seconds left, 135 marqs



edit: alsoe doing definite integración mentally is funny. in maff last week one of the questions was \( \int_0^{\frac{\pi}{4}}tan(x)sec^3(x)dx \) = what, and after rike 20 seconds, I wrote down \( \frac{2\sqrt{2}-1}{3} \) and the teacherizer was liek, "how did u do that"

 

[vcuber13]

dont forget your dxs

 

[brandbest1]

In layman's terms, can someone tell me and describe what the hook-length formula is?

Btw, I am taking honors geometry right now in school but I know most of algebra 2 and stuff like that and am attempting to learn a little calculus. I recently learned what a riemann sum is and what indefinite integration is.
I am also a math contest freak, that's why I am asking the above cuz I'm afraid it the first one might show up on the AMC. i might qualify for the AIME though, I got a 118.5 on the 10A.
If you're not from the US, you'll think I'm weird.

 

[Ickathu]

Does anyone else here do the Mandelbrot Competitions? http://mandelbrot.org/

 

[brandbest1]

Does anyone else here do the Mandelbrot Competitions? http://mandelbrot.org/

I do!

 

[Ickathu]

I do!

Cool! What were your scores for the rounds so far this year? It's my first year doing it; I got 2 (lol) on round 1 (Nov), 5 on round 2 (Dec), 4 (Jan), and 5 (Feb). I've been the highest score in my group of 6 each time.
What math have you done? I've done Algebra 1 and 2, Geometry. I'm doing a Counting and Probability course formally (I suppose; I'm homeschooled but this is the one that my mom has "assigned" me, even though I do extra on my own anyway). I'm also working through the last bit of Precalculus/Trigonometry and a Number Theory course in my own spare time.
Also, do you do the team play? My team got 12 on the first round this year. The second round was REALLY hard though, I don't think we even got close to 12, although I did do some pretty cool infinite sequences stuff to prove some of the things, so if I did it right (fingers crossed since I was the only one in my team that knows how to do it, so I'm gonna be the one to blame if we fail miserably ) then I think we got at least a few points (maybe 8-10)

 

[brandbest1]

Cool! What were your scores for the rounds so far this year? It's my first year doing it; I got 2 (lol) on round 1 (Nov), 5 on round 2 (Dec), 4 (Jan), and 5 (Feb). I've been the highest score in my group of 6 each time.
What math have you done? I've done Algebra 1 and 2, Geometry. I'm doing a Counting and Probability course formally (I suppose; I'm homeschooled but this is the one that my mom has "assigned" me, even though I do extra on my own anyway). I'm also working through the last bit of Precalculus/Trigonometry and a Number Theory course in my own spare time.
Also, do you do the team play? My team got 12 on the first round this year. The second round was REALLY hard though, I don't think we even got close to 12.

I'm not sure if we do the Team Play, I'm only a freshman though, so we probably do.

As I've stated before, I've taken Algebra 1 (or Integrated Algebra, as it's called here) and Geometry, as (informally) Algebra 2. I've looked at it but didn't actually take it yet. Algebra 2 and Trig are mixed into a full-year course for us also.
Wait, there are formal Probability courses? I never knew that, looks like my school doesn't offer those, probably have to take it through ArtofProblemSolving.

I think I threw away my past Mandelbrot competitions (lol) but my most recent one (4) I got an 8. I think I might have also slipped in a 9 somewhere, can't remember. My first one was an 8 too.

By the way, what grade are you in? Cuz from your profile picture I thought you were like 8 years old

 

[Ickathu]

I'm not sure if we do the Team Play, I'm only a freshman though, so we probably do.

As I've stated before, I've taken Algebra 1 (or Integrated Algebra, as it's called here) and Geometry, as (informally) Algebra 2. I've looked at it but didn't actually take it yet. Algebra 2 and Trig are mixed into a full-year course for us also.
Wait, there are formal Probability courses? I never knew that, looks like my school doesn't offer those, probably have to take it through ArtofProblemSolving.

I think I threw away my past Mandelbrot competitions (lol) but my most recent one (4) I got an 8. I think I might have also slipped in a 9 somewhere, can't remember. My first one was an 8 too.

By the way, what grade are you in? Cuz from your profile picture I thought you were like 8 years old

ooh an 8 is really good. I'm not a good test taker, so I always get panicky and nervous when I do the test and end up forgetting really simple equations or making stupid math errors. The probability course I'm taking right now is actually the "Introduction to Counting and Probability" from Art of Problem Solving, haha.
And yeah, my profile picture is really old haha, I'm a sophomore this year I should update it so I actually look like a 16yo, since that picture is 1.5 years old lol (EDIT: Is this pic better? I'm the one on the left. It's from my most recent karate belt promotion test, the one that I broke my foot on)

 

[brandbest1]

ooh an 8 is really good. I'm not a good test taker, so I always get panicky and nervous when I do the test and end up forgetting really simple equations or making stupid math errors. The probability course I'm taking right now is actually the "Introduction to Counting and Probability" from Art of Problem Solving, haha.
And yeah, my profile picture is really old haha, I'm a sophomore this year I should update it so I actually look like a 16yo, since that picture is 1.5 years old lol (EDIT: Is this pic better? I'm the one on the left. It's from my most recent karate belt promotion test, the one that I broke my foot on)

Yeah,I guess that picture works better lol.

 

[ben1996123]

ok so. what the hell. i just ζ(3) exac waleu.

also,

= 4.

Spoiler: pruf

ok so ln(2) = 1-1/2+1/3-1/4+1/5-blablabla, thats obvious
do e^boef sides: 2 = (e e^1/3 e^1/5 e^1/7)/(e^1/2 e^1/4 e^1/6) blablabla = infprod e^(1/(2n-1))/e^(1/(2n)) = infprod e^(1/(2n-1)-1/(2n)) = infprod e^(1/(4n^2-2n)) = infprod sqrt(e)^(1/(2n^2-n))
sqaar both sides (you can do this csch its obvious really): 4 = infprod e^(1/(2n^2-n))

 

[Christopher Mowla]

ok so ln(2) = 1-1/2+1/3-1/4+1/5-blablabla, thats obvious

Well, I guess it's obvious to those who substitute 2 for x in the Maclaurin Series for ln(x), sure.

do e^boef sides: 2 = (e e^1/3 e^1/5 e^1/7)/(e^1/2 e^1/4 e^1/6) blablabla = infprod e^(1/(2n-1))/e^(1/(2n)) = infprod e^(1/(2n-1)-1/(2n)) = infprod e^(1/(4n^2-2n)) = infprod sqrt(e)^(1/(2n^2-n))

Okay, some basic algebra.

sqaar both sides (you can do this csch its obvious really)

Can you explain this more? And also, what do you mean by ζ(3)?

Also, for those who like the Ti-84 plus calculator, TI has recently made a new version and will release it in the spring of this year. The screen has more pixels, is in color, and displays math in pretty print similar to the Ti-89 or any other CAS. I personally won't buy one because looking at the graphing calculator comparison page, it has even less RAM than the Ti-84 plus silver edition and it's CPU wasn't improved (I don't care about ROM that much, so the 3.5 MB ROM doesn't excite me at all). Instead of needing four AAA batteries, it's rechargeable...