29,645 reputation
271161
bio website math.pugetsound.edu/~mspivey
location Tacoma, WA
age 41
visits member for 3 years, 9 months
seen 14 hours ago

I am a math professor at the University of Puget Sound. My background is in operations research, and I teach typical OR courses such as optimization, modeling, and probability, as well as calculus, statistics, and differential equations.

My math blog, A Narrow Margin, includes (among other things) discussion of some of my favorite posts - of mine and of others - from math.SE.


Jul
2
awarded  Curious
Jun
24
answered Integer sum as binomial coefficient
Jun
17
awarded  Good Answer
Jun
9
comment Proving an alternating Euler sum: $\sum_{k=1}^{\infty} \frac{(-1)^{k+1} H_k}{k} = \frac{1}{2} \zeta(2) - \frac{1}{2} \log^2 2$
Got it; thanks! And +1.
Jun
9
comment Proving an alternating Euler sum: $\sum_{k=1}^{\infty} \frac{(-1)^{k+1} H_k}{k} = \frac{1}{2} \zeta(2) - \frac{1}{2} \log^2 2$
How do you go from $\int_0^1 \frac{1-t^k}{1-t} \, dt$ to $\int_0^1 \ln(1-t) (-kt^{k-1}) \, dt$ in the second step?
May
29
awarded  Nice Answer
May
18
awarded  Nice Question
Apr
17
awarded  Announcer
Mar
24
awarded  Announcer
Mar
20
awarded  Enlightened
Mar
20
awarded  Nice Answer
Mar
5
awarded  Announcer
Feb
24
awarded  Notable Question
Feb
22
awarded  Announcer
Feb
20
awarded  Nice Answer
Feb
16
awarded  Enlightened
Feb
16
awarded  Nice Answer
Feb
8
awarded  Nice Answer
Jan
19
awarded  Necromancer
Jan
13
comment Does exceptionalism persist as sample size gets large?
I had to do the transformation by hand to verify it, but you are correct. Nice observation! For the record, the Mudholkar, Chaubey, and Tian paper does not mention that $\log Z - \log Y$ has that simpler form.