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Old 07-02-2010, 07:52 AM
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Magic Mountain Magic Mountain is offline
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Re: Some Math Teasers......

Quote:
Originally Posted by BrianSaladSurgery View Post
Thank you! Thank you! Thank you! Mr. Euler!!!

Code:
iπ iπ (e + 4) √4 • (e + 4)
This is tough to represent here without a full set of mathematical symbols.

Anyway, from Euler's Identity,

Code:
iπ e + 1 = 0
Therefore,

Code:
iπ e = -1
Thus,

Code:
iπ e + 4 = 3

Put this all together and you have:

Code:
√4 = 2 3 (3) = 27 2 • 27 = 54
Q.E.D.

In deference to Magic Mountain, as an aficionado of mathematics, a BSEE, an MSEE in Information Theory and a minor in mathematics, I just don't arbitrarily toss numbers into the trash bin. This is exact and precise math!
You are just using functions like I did. My solution was very precise, you just don't like it. you used the function f(x) = e^x, I used the function f(x) = [x] =n when n<=x<n+1. Heck even multiplication is a function and so is taking roots. However, I do like your solution.
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Old 07-02-2010, 10:20 AM
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Re: Some Math Teasers......

Quote:
Originally Posted by Magic Mountain View Post
You are just using functions like I did. My solution was very precise, you just don't like it. you used the function f(x) = e^x, I used the function f(x) = [x] =n when n<=x<n+1. Heck even multiplication is a function and so is taking roots. However, I do like your solution.
Like I said, I just don't like tossing numbers in the trash bin.
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Old 07-02-2010, 10:52 AM
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Magic Mountain Magic Mountain is offline
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Re: Some Math Teasers......

Quote:
Originally Posted by VAXman View Post
Like I said, I just don't like tossing numbers in the trash bin.
or you only like bijective functions! Also using exp(pi x i) can be considered cheating as it doesn't have the number 4 in the determination, thus you could have added exp(pi x i) 42 times multiplied the result by exp(pi x i) and then added three fours. You see where I'm going with this. There are a lot of possibilities when you use a constant witout the number 4 involved.

Last edited by Magic Mountain : 07-02-2010 at 11:01 AM.
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