Is this 'e' interpretation correct?

  • Thread starter Thread starter cdux
  • Start date Start date
  • Tags Tags
    Interpretation
AI Thread Summary
The discussion centers on the interpretation of the mathematical constant e, specifically whether it can be described as "what you get if you wait for the least gain, by waiting for the most amount of time." Participants challenge this characterization, suggesting it lacks clarity and context, particularly regarding the definitions of "gain" and "waiting." The conversation touches on the limit of (1+1/n)^n and its implications for compound interest. Additionally, an example involving (1+1/(3n))^(2n) is mentioned to illustrate that different choices of n can yield varying gains over time. Overall, the interpretation of e as a "patience number" is deemed insufficiently explained.
cdux
Messages
187
Reaction score
0
Considering e is the limit->+oo of (1+1/n)^n, then is e "what you get if you wait for the least gain, by waiting for the most amount of time"? Something like "e is the patience number".
 
Mathematics news on Phys.org
Hmm..No.
 
arildno said:
Hmm..No.
No explanation?
 
cdux said:
Considering e is the limit->+oo of (1+1/n)^n, then is e "what you get if you wait for the least gain, by waiting for the most amount of time"? Something like "e is the patience number".

Is this in regards to compound interest returns?
 
cdux said:
No explanation?
You might wish to look at, for example, the actual limit of, for example, (1+1/(3n))^(2n)
which, for every particular choice of "n" will have a less gain waited for for an even greater period of time than the one you happende to pick.
 
What explanation could be given when you haven't said what you mean by "gain" or "waiting".
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

Similar threads

Back
Top