Some Math Teasers......

[BrianSaladSurgery]

Thank you! Thank you! Thank you! Mr. Euler!!!

                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,

 iπ
e  + 1 = 0

Therefore,

 iπ
e   = -1

Thus,

 iπ
e  + 4 = 3

Put this all together and you have:

√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!

[Magic Mountain]

Originally Posted by BrianSaladSurgery

Thank you! Thank you! Thank you! Mr. Euler!!!

                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,

 iπ
e  + 1 = 0

Therefore,

 iπ
e   = -1

Thus,

 iπ
e  + 4 = 3

Put this all together and you have:

√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.

[VAXman(Admin)]

Originally Posted by Magic Mountain

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.

[Magic Mountain]

Originally Posted by VAXman

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.