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5 replies to this topic

### #1 bonanova

bonanova

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Posted 07 March 2008 - 03:55 PM

Four basic numbers from science and mathematics have the symbols pi, e, 1 and i.
Their values are

pi = 3.1415926536 ...
e = 2.718281828459 ...
1 = unity
i = sqrt[-1]

Arrange these numbers, using them once and only once, so that they equal 0
using only the operations +, ×, and exponentiation.

Use the spoiler, Luke.
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #2 toddpeak

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Posted 07 March 2008 - 05:03 PM

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### #3 brhan

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Posted 07 March 2008 - 05:10 PM

Four basic numbers from science and mathematics have the symbols pi, e, 1 and i.
Their values are

pi = 3.1415926536 ...
e = 2.718281828459 ...
1 = unity
i = sqrt[-1]

Arrange these numbers, using them once and only once, so that they equal 0
using only the operations +, ×, and exponentiation.

Use the spoiler, Luke.

Are we allowed to use functions ... like ceiling, floor, Int()??

Spoiler for my guess

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### #4 bonanova

bonanova

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Posted 07 March 2008 - 05:30 PM

Are we allowed to use functions ... like ceiling, floor, Int()??

Sorry ... just the ones listed.
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #5 brhan

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Posted 07 March 2008 - 05:44 PM

Spoiler for 2nd attempt

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### #6 unreality

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Posted 07 March 2008 - 11:24 PM

use Euler's identity, which is the special case of Euler's formula, the equation for going around a circle with a real x axis and a nonreal y axis

the special case is:

epi*i + 1 = 0

which comes from this:

epi*i = -1

which comes from this:

etheta*i = cos(theta) + i*sin(theta)
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