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Author Topic: Favorite math theory/rules/law/et cetera.  (Read 17081 times)

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Offline Scipi

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Re: Favorite math theory/rules/law/et cetera.
« Reply #30 on: March 04, 2011, 09:17:40 pm »
So brute forcing it like I was trying to do won't work then. :D
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Late last night, Quebec was invaded by a group calling themselves, "Omnimaga". Not much is known about these mysterious people except that they all carried calculators of some kind and they all seemed to converge on one house in particular. Experts estimate that the combined power of their fabled calculators is greater than all the worlds super computers put together. The group seems to be holding out in the home of a certain DJ_O, who the Omnimagians claim to be their founder. Such power has put the world at a standstill with everyone waiting to see what the Omnimagians will do...

Wait... This just in, the Omnimagians have sent the UN a list of demands that must be met or else the world will be "submitted to the wrath of Netham45's Lobster Army". Such demands include >9001 crates of peanuts, sacrificial blue lobsters, and a wide assortment of cherry flavored items. With such computing power stored in the hands of such people, we can only hope these demands are met.

In the wake of these events, we can only ask, Why? Why do these people make these demands, what caused them to gather, and what are their future plans...

Offline Deep Toaster

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Re: Favorite math theory/rules/law/et cetera.
« Reply #31 on: March 04, 2011, 11:19:40 pm »
Quote from: Hot_Dog on March 04, 2011, 08:16:10 pm
I don't know who discovered this equation, but I call it the "mosquito curve" and I found it by accident.  (This is in polar graphing)

r = sin(cos(tan(theta)))

Lol, I do that too XD But r=sin(sin(sin(tan(θ is better.

Another fun thing to do is Y=sin(cos(tan(X, change it to Dot mode, then set the window range to (-50,50) and (-1.25,0.75). It's a nearly perfect butterfly O.O
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Offline Hot_Dog

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Re: Favorite math theory/rules/law/et cetera.
« Reply #32 on: March 04, 2011, 11:31:27 pm »
Quote from: Deep Thought on March 04, 2011, 11:19:40 pm
Quote from: Hot_Dog on March 04, 2011, 08:16:10 pm
I don't know who discovered this equation, but I call it the "mosquito curve" and I found it by accident.  (This is in polar graphing)

r = sin(cos(tan(theta)))

Lol, I do that too XD But r=sin(sin(sin(tan(θ is better.

Another fun thing to do is Y=sin(cos(tan(X, change it to Dot mode, then set the window range to (-50,50) and (-1.25,0.75). It's a nearly perfect butterfly O.O

"Nearly" is a good word, because there is an actual "butterfly curve."  (It's called that, too.)  Although I forgot the equation for the butterfly curve.
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Offline phenomist

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Re: Favorite math theory/rules/law/et cetera.
« Reply #33 on: March 05, 2011, 12:03:41 am »
Here's an interesting prime generating algorithm and a nice programming challenge at the same time (figure out how this works!):

(17/91, 78/85, 19/51, 23/38, 29/33, 77/29, 95/23, 77/19, 1/17, 11/13, 13/11, 15/14, 15/2, 55/1)
Start with the number n=2. Take the one leftmost that, when multiplied to n, gives an integer, and multiply that number to n and replace. Repeat process indefinitely.

The primes will be the exponents of all powers of two after the initialization step :D
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Offline jnesselr

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Re: Favorite math theory/rules/law/et cetera.
« Reply #34 on: March 05, 2011, 10:25:54 am »
I don't understand that at all, can you give a better example?  You start with n=2, but then what leftmost one?  And when you say "when multiplied to n", do you mean the leftmost one to the nth power?  And why do you "multiplied to n" to get an integer, and then "multiply that number to n".  I don't understand what you're trying to say at all, please give an example.
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Offline phenomist

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Re: Favorite math theory/rules/law/et cetera.
« Reply #35 on: March 07, 2011, 12:47:48 am »
So,
(17/91, 78/85, 19/51, 23/38, 29/33, 77/29, 95/23, 77/19, 1/17, 11/13, 13/11, 15/14, 15/2, 55/1)
Start with the number n=2. Take the one leftmost that, when multiplied to n, gives an integer, and multiply that number to n and replace. Repeat process indefinitely.

2*(15/2) is the first fraction that gives me an integer when multiplied, Store 15 to n.
15*(55/1) = 825
825*(29/33) = 725
725*(77/29)=1925
1925*(13/11)=2275
2275*(17/91)=425
425*(78/85)=390
390*(11/13)=330
330*(29/33)=290
290*(77/29)=770
Repeating this process gives you
910, 170, 156, 132, 116, 308, 364, 68, 4. 4=2^2. Prime #1 found!
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Offline Scipi

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Re: Favorite math theory/rules/law/et cetera.
« Reply #36 on: March 07, 2011, 04:19:10 pm »
Ok, I see (actually, wouldn't 55/1 be an integer when multiplied? 55/1*2 = 110
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Late last night, Quebec was invaded by a group calling themselves, "Omnimaga". Not much is known about these mysterious people except that they all carried calculators of some kind and they all seemed to converge on one house in particular. Experts estimate that the combined power of their fabled calculators is greater than all the worlds super computers put together. The group seems to be holding out in the home of a certain DJ_O, who the Omnimagians claim to be their founder. Such power has put the world at a standstill with everyone waiting to see what the Omnimagians will do...

Wait... This just in, the Omnimagians have sent the UN a list of demands that must be met or else the world will be "submitted to the wrath of Netham45's Lobster Army". Such demands include >9001 crates of peanuts, sacrificial blue lobsters, and a wide assortment of cherry flavored items. With such computing power stored in the hands of such people, we can only hope these demands are met.

In the wake of these events, we can only ask, Why? Why do these people make these demands, what caused them to gather, and what are their future plans...

Offline phenomist

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Re: Favorite math theory/rules/law/et cetera.
« Reply #37 on: March 07, 2011, 06:48:40 pm »
You pick the leftmost fraction that can give you an integer. Since 15/2 is to the left of 55/1, it has precedence.
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Re: Favorite math theory/rules/law/et cetera.
« Reply #38 on: March 07, 2011, 07:55:42 pm »
Xn+Yn=Zn..... ;D ;D ;D
Fermats Last Theorem!!!!!!!!!!!!!!!
Okay fine i'm not just showing off i know about it because its actually not a very interesting equation.
I also respect something much easier:1/12+1/22+1/32+....................=PIE2/6.
Its called the Basel (harry potter) series but it was first proven by Yuler.
 
« Last Edit: March 07, 2011, 10:43:38 pm by BOB! »
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Offline AngelFish

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Re: Favorite math theory/rules/law/et cetera.
« Reply #39 on: March 07, 2011, 07:57:39 pm »
*Euler.

Oiler refers to either a various hockey teams, a profession, a ship, or a football team.
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Offline Tribal

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Re: Favorite math theory/rules/law/et cetera.
« Reply #40 on: March 07, 2011, 08:22:13 pm »
Quote from: Deep Thought on March 04, 2011, 11:19:40 pm
Quote from: Hot_Dog on March 04, 2011, 08:16:10 pm
I don't know who discovered this equation, but I call it the "mosquito curve" and I found it by accident.  (This is in polar graphing)

r = sin(cos(tan(theta)))

Lol, I do that too XD But r=sin(sin(sin(tan(θ is better.

Another fun thing to do is Y=sin(cos(tan(X, change it to Dot mode, then set the window range to (-50,50) and (-1.25,0.75). It's a nearly perfect butterfly O.O

Is this a dog with wings?
r=tan(cos(cos(sin(theta^2)^2)^2)^3
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Offline Deep Toaster

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Re: Favorite math theory/rules/law/et cetera.
« Reply #41 on: March 07, 2011, 08:51:21 pm »
Quote from: Tribal on March 07, 2011, 08:22:13 pm
Quote from: Deep Thought on March 04, 2011, 11:19:40 pm
Quote from: Hot_Dog on March 04, 2011, 08:16:10 pm
I don't know who discovered this equation, but I call it the "mosquito curve" and I found it by accident.  (This is in polar graphing)

r = sin(cos(tan(theta)))

Lol, I do that too XD But r=sin(sin(sin(tan(θ is better.

Another fun thing to do is Y=sin(cos(tan(X, change it to Dot mode, then set the window range to (-50,50) and (-1.25,0.75). It's a nearly perfect butterfly O.O

Is this a dog with wings?
r=tan(cos(cos(sin(theta^2)^2)^2)^3

Oh the things we do when we're bored :P

The dog doesn't seem to work with me, though. Any particular window settings?
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Offline Tribal

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Re: Favorite math theory/rules/law/et cetera.
« Reply #42 on: March 08, 2011, 09:57:48 am »
Quote from: Deep Thought on March 07, 2011, 08:51:21 pm
Quote from: Tribal on March 07, 2011, 08:22:13 pm
Quote from: Deep Thought on March 04, 2011, 11:19:40 pm
Quote from: Hot_Dog on March 04, 2011, 08:16:10 pm
I don't know who discovered this equation, but I call it the "mosquito curve" and I found it by accident.  (This is in polar graphing)

r = sin(cos(tan(theta)))

Lol, I do that too XD But r=sin(sin(sin(tan(θ is better.

Another fun thing to do is Y=sin(cos(tan(X, change it to Dot mode, then set the window range to (-50,50) and (-1.25,0.75). It's a nearly perfect butterfly O.O

Is this a dog with wings?
r=tan(cos(cos(sin(theta^2)^2)^2)^3

Oh the things we do when we're bored :P

The dog doesn't seem to work with me, though. Any particular window settings?

No, I just hit ZStandard and it comes up.
It might just be a side view of Hot Dog's mosquito though :P
« Last Edit: March 08, 2011, 09:58:57 am by Tribal »
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Offline Freyaday

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Re: Favorite math theory/rules/law/et cetera.
« Reply #43 on: March 08, 2011, 10:06:09 am »
Euler's.
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