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location Wisconsin, US
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visits member for 3 years, 8 months
seen 11 hours ago

Both teaching and rational inquiry, at their creative and inspired best, thus lead us to the very threshold of ultimate mystery and induce in us a sense of profound humility and awe.

~~~ Theodore Meyer Greene

Nothing should be named, lest by doing so we change it.

~~~ Virginia Woolf


13h
reviewed No Action Needed Partial Integral of an ellipse
13h
reviewed No Action Needed weak* convergence for sequence in $ L^\infty$
13h
reviewed Leave Closed $s \in L^{1}(H)$ $\iff$ $s=\sum_{i=0}^\infty x_{i} \otimes y_{i} $
14h
reviewed Leave Closed Need help to find $\int_0^\infty \frac{e^{-x^2}\sin x^2}{\ln(1+x^2)}dx$
14h
reviewed Reopen Solve the SDE $dX_t = \frac{1}{2 X_t} dt + dB_t$
14h
reviewed Reopen Give an example of a field K, an extension field F, a subring R of F containing K where R is not a field?
14h
reviewed Leave Open Show an integral is bounded under a parameter $\alpha \in (0,1)$
14h
reviewed Leave Open how to find norm of the operator Ax(t) = cos (t)*x(t)?
14h
reviewed Leave Open Sum of $C_1$ mappings is one-to-one in neighborhood of a point
15h
comment How does $n < 2^n$ become $\log n < n$ by taking log of both sides?
Yes, I address that @Michael: logarithm rule, and the fact that $\log_2(2) = 1$.
15h
comment How does $n < 2^n$ become $\log n < n$ by taking log of both sides?
Not at all, @CameronWilliams. I was editing just as you were! ;-)
15h
revised How does $n < 2^n$ become $\log n < n$ by taking log of both sides?
added 9 characters in body; edited title
15h
revised How does $n < 2^n$ become $\log n < n$ by taking log of both sides?
edited body
15h
revised How does $n < 2^n$ become $\log n < n$ by taking log of both sides?
added 2 characters in body
15h
comment How does $n < 2^n$ become $\log n < n$ by taking log of both sides?
@mfl: Yes...I didn't realize that you were referring to $a$ as a base, as in $\log_a$ which I now see you clearly defined. My bad.
15h
comment How does $n < 2^n$ become $\log n < n$ by taking log of both sides?
Have you tried graphing the $\log$ functuion? You'll see it is always increasing. A function is an increasing function means for arbitrary real numbers $a, b$,$$a \lt b \implies f(a) = f(b) all \forall a, b \in \mathbb R$$
16h
answered How does $n < 2^n$ become $\log n < n$ by taking log of both sides?
16h
reviewed Reject summation tag wiki
16h
reviewed Reject sequences-and-series tag wiki
16h
reviewed No Action Needed Borel measurable functions $f:[0,1]\to[0,\infty)$ which cannot be expressed as pointwise limit of nondecreasing sequence of step functions