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Loren Booda
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For the most recent post in PF, which is most likely: few or no replies, or many replies? Is there a distribution of replies derivable for such posts?
Number of replies for most recent post in PF
- Thread starter Loren Booda
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AI Thread Summary
The discussion centers on the expected number of replies for the most recent post in a forum (PF). It suggests that the number of replies may align with the average responses per thread, adjusted by the volume of posts. The variability in reply counts is acknowledged, indicating that different forums exhibit significantly different average reply rates. Factors such as forum type and engagement levels are considered crucial in determining reply distribution. Ultimately, understanding these dynamics can help predict interaction levels for new posts.
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...
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...
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...
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