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visits member for 2 years
seen 19 hours ago

Nov
21
awarded  Scholar
Nov
21
accepted Logarithm as a limit of a decreasing sequence
Nov
17
comment Logarithm as a limit of a decreasing sequence
That's clever, and seems valid to me. I had trouble because of the differing exponents of t in the forward-difference. This takes care of them neatly right at the beginning.
Nov
17
awarded  Student
Nov
17
asked Logarithm as a limit of a decreasing sequence
Nov
5
awarded  Teacher
Nov
5
answered Analogue of continuous mapping theorem for convergence in $L^2$
Oct
20
revised Understanding what $P - P \log(P)$ means for an event of probability $P$
added 504 characters in body
Oct
19
comment Understanding what $P - P \log(P)$ means for an event of probability $P$
A natural logarithm (base e).
Oct
19
comment Understanding what $P - P \log(P)$ means for an event of probability $P$
@Amir: According to Mathematica, 0.75 - 0.75*Log[0.75] = 0.965762. Could you have calculated 0.75 * Log[2, 0.75] = -0.311278?
Oct
19
revised Understanding what $P - P \log(P)$ means for an event of probability $P$
Added a plot for CDF.
Oct
19
revised Understanding what $P - P \log(P)$ means for an event of probability $P$
Added that the log is natural.
Oct
19
comment Understanding what $P - P \log(P)$ means for an event of probability $P$
It should be in the range [0,1]: see the plot in wolframalpha.com/input/?i=P-P*log%28P%29+on+%5B0%2C+1%5D
Oct
19
awarded  Editor
Oct
19
revised Understanding what $P - P \log(P)$ means for an event of probability $P$
Fixed a typo in title.
Oct
19
asked Understanding what $P - P \log(P)$ means for an event of probability $P$