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Cuchulainn
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Re: exp(5) = [$]e^5[$]

November 7th, 2017, 10:45 pm

The engineer says: "My equations are a model of the universe."
The physicist says: "The universe is a model of my equations."

The mathematician says: "I don't care."

Physicists have bouts of anxiety. 
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Collector
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Re: exp(5) = [$]e^5[$]

November 7th, 2017, 11:16 pm

Cuchulainn: "Physicists have bouts of anxiety. "

it is known as the Heisenberg’s uncertainty principle. I am sure it has an upper limit. so you can stop being so anxious that your electrons could be outside the visible universe at this moment in time.
 
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Traden4Alpha
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Re: exp(5) = [$]e^5[$]

November 8th, 2017, 1:30 am

Collector wrote:
Cuchulainn: "Physicists have bouts of anxiety. "

it is known as the Heisenberg’s uncertainty principle. I am sure it has an upper limit. so you can stop being so anxious that your electrons could be outside the visible universe at this moment in time.
It's worse than Heisenberg! When it comes to getting tenure, a physicist knows neither their position nor their momentum!
 
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Cuchulainn
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Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
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Re: exp(5) = [$]e^5[$]

November 9th, 2017, 9:12 am

[$]\pi^5[$] is the area of a circle of radius [$] \pi^2[$]. Probably a useless result.

More generally, [$]f(x) = \pi^x[$] satisfies the ODE

[$]df/dx = a f, f(0) = 1[$] where [$]a = log(\pi)[$].

I would solve in multiprecision in NDSolve, may better than raw multiplication.

Is [$]\pi^e < e^\pi[$], what?
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