Batman's Cave
Thread Topic: Batman's Cave
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Hey
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pi
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There is a method called the binary search method that will find the
square root of any number N. You'll need a calculator to do this
method.
The first step is to pick a value you know to be too small the be the
square root of Pi. Call this value S (for small guess). The next
step is to pick a value you know to be too large to be the square root
of Pi. Call this value L (for large value).
Then since Pi = 3.14159.... we'll say S = 1, and L = 2.
S = 1
L = 2
Then find S^2 and L^2 (S and L squared):
S^2 = 1
L^2 = 4
Which of these values is farther away from Pi? S^2 is farther away
from Pi then L^2, so replace S with the average of S and L. Now we
have:
S = 1.5
L = 2
Continue the process:
S^2 = 2.25
L^2 = 4
Replace the small value again since its square is farther away.
S = 1.75
L = 2
Goes to:
S^2 = 3.0625
L^2 = 4
Replace the large value now:
S = 1.75
L = 1.875
Goes to:
S^2 = 3.0625
L^2 = 3.515625
Replace the large value again:
S = 1.75
L = 1.8125
Goes to:
S^2 = 3.0625
L^2 = 3.28515625
At which point we know to replace the large value again since its
square is farther away then the small value's square.
So
S = 1.75
L = 1.78125
At this point we know the square root of Pi lies between 1.75 and
1.78125. Continuing this process we can get finer and finer bounds for
the value of the sqaure root of Pi. After a while we will see that
the square root of Pi equals 1.77245.... Since Pi is irrational we
can never get an exact answer and we have to settle for an
approximation.
Hope this helps. -
1.77245385091
: , , . .
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oh kewl
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I suck at math ......l
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Me 2
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lololololololololol
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TRALALA!
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Jozy and Jesse sittin' in a tree, K I S S I N G!
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Ams I being ignored? ^O^
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Yeeess I am
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Jozy and Jesse sittin' in a tree, K I S S I N G!
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No....
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Yes..
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