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+--- Thread: hey (/showthread.php?tid=2803)
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hey - HAULN-SS - 09-14-2005
whats the exact value of the continued fraction [1,2,1,2,...]
any help appreciated..i came up with (sqrt(3) + 1)/2
Re: hey - .RJ - 09-14-2005
HAULN-SS Wrote:continued fraction [1,2,1,2,...]
:?:
someone had to do it
- HAULN-SS - 09-14-2005
heh..basically, if anyone has maple..plug it in and tell me if i was right, cause im too lazy to go to the lab
- BLINGMW - 09-14-2005
does this help?
![[Image: maple_syrup.jpg]](http://mc.clintock.com/first_floor/kitchen/refrigerator/food/ICON-images/maple_syrup.jpg){kind=icon}
- HAULN-SS - 09-14-2005
.........yes.
- Mike - 09-14-2005
red maple formals:
![[Image: red%20maple%201.jpg]](http://www.jhu.edu/theta/pictures/formals/red%20maple%201.jpg)
- Sijray21 - 09-14-2005
hock: i'll take the middle please
what kind of math is this?
- Mike - 09-14-2005
MULTIPLICATION!!!!!
- Sijray21 - 09-14-2005
Mike Wrote:MULTIPLICATION!!!!!
just ((3^(1/2))+1)/2...?
there's more to the original question isn't there? I thought he was looking for some sort of pattern...
and who the hell are those girls and why are you not bringing them out to DC with the rest of single-MM :wink:
- Mike - 09-14-2005
the girls were from google image search for maple. #2 result! i said multiplication is the math we're doing because that's what i'd like to do with those ladies.
- Sijray21 - 09-14-2005
damnit mikey you got my hopes up...i'm a little slow with the whole "getting things" deal
- BLINGMW - 09-14-2005
Teaching Math In 1950
A logger sells a truckload of lumber for $100. His cost of
production is 4/5 of the price. What is his profit?
Teaching Math In 1960
A logger sells a truckload of lumber for $100. His cost of
production is 4/5 of the price, or $80. What is his profit?
Teaching Math In 1970
A logger sells a truckload of lumber for $100. His cost of
production is $80. Did he make a profit?
Teaching Math In 1980
A logger sells a truckload of lumber for $100. His cost of
production is $80 and his profit is $20.
Your assignment: Underline the number 20.
Teaching Math In 1990
A logger cuts down a beautiful forest because he is selfish and
inconsiderate and cares nothing for the habitat of animals or the
preservation of our woodlands. He does this so he can make a profit
of $20. What do you think of this way of making a living?
Topic for class participation after answering the question: How did
the birds and squirrels feel as the logger cut down their homes?
(There are no wrong answers.)
Teaching Math In 2005
Un hachero vende una carretada de madera para $100. El costo de la
producci├│n es $80 .
- PDenbigh - 09-14-2005
Lol, that's awesome!!!
- Chris - 09-14-2005
hahaha :lol:
- HAULN-SS - 09-14-2005
What kind of math? Greek math. Continued fractions are how the greeks represented irrational numbers. that solution i posted ended up being correct.
if you were to write out [1,2,1,2,1,2...] it'd look like
1 + 1/(2+1/(1+1/(2+.....
foreverrrrrrrrrrrrrrrrrrr
- Mike - 09-14-2005
what is the point of knowing that? does it have any practical use?
- HAULN-SS - 09-14-2005
hrmm..well...in a word. yes.
- Mike - 09-15-2005
i'm curious... do share... 98% of the math i learned in school i have yet to use in the real world. :?
- .RJ - 09-15-2005
I still cant even add..... so much for calculus!
- HAULN-SS - 09-15-2005
well, in the abstract, you can use it to represent a computer program algorithm. in the real world, you can use it to represent a rational number..which is convenient for other calculations sometimes.
basically, you could use it to approximate irrational numbers for any sort of application..finding the perfect fifth in a music scale (the pythagoreans did this, since they thought numbers were perfect)...the more fractions you make, the closer the approximation is to the irrational number. (send n to infinity, and the number starts to converge)
There's a connection between chaos theory and continued fractions and the golden string of numbers (some variant of fibonacci sequence)