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visits member for 2 years, 11 months
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Freshman studying at Yale.


Jan
21
comment If $x,y$ are ordinals and $x \cong y$ then $x = y$
$z$ is the least element that satisfies the condition $f(z) \ne z$. $w \in z$ is possible, but only if $f(w) = w$.
Jan
21
comment Is $ \left\lfloor \frac{n+3}{2} \right\rfloor = \left\lfloor \frac{n}{2} \right\rfloor +1$?
Consider $n = 1$.
Jan
19
revised Find the maximum number of a continuous function
added 359 characters in body
Jan
19
answered Find the maximum number of a continuous function
Dec
26
comment Analysis Textbook
For calculus with proofs, Tom Apostol's Calculus Vol. 1 is quite good. For something that's more difficult that you would use in a real analysis course at a university, Rudin's Principles of Mathematical Analysis is a standard textbook, although the density of that book might not exactly suit self-study.
Dec
20
comment Image of open set is not open?
@Mehrdad By "one-to-one" I simply mean injection. I'm talking about the asymmetry in that functions are single valued ($x = y \implies f(x) = f(y)$) but not necessarily one-to-one ($f(x) = f(y) \implies x = y$).
Dec
19
awarded  Constituent
Dec
19
revised Why this approach to differentiate $\log_{10}(x+1)^x$ does not work?
deleted 23 characters in body
Dec
19
comment Why this approach to differentiate $\log_{10}(x+1)^x$ does not work?
@DOMiguel Well, this is embarrassing. I was sure you had added in something extra but now it looks like your math checks out. Are you sure the question is $( \log_{10} ( x+1 ) )^x$ and not $\log_{10} ( (x+1)^x ) = x \log_{10} ( x + 1 )$ as mentioned by a now-deleted answer?
Dec
19
comment Fundamental Theorem of Calculus 1 - definite integral
To explain the passages: the OP is taking $F(x^2) = \int_0^{x^2} f(t)dt$ in which case $\frac{d}{dx} -F(x^2) = -f(u) \cdot u'(x)$ with $u(x) = x^2$.
Dec
19
answered Fundamental Theorem of Calculus 1 - definite integral
Dec
19
comment Computing the value of a function whose derivative is another function
What do you mean by dependent variables?
Dec
19
comment Easy question about line up points ?
Are you looking for "draw a line in between them"?
Dec
19
answered Why this approach to differentiate $\log_{10}(x+1)^x$ does not work?
Dec
19
comment What is a non-decreasing sequence of sets?
Sets are composed of elements, and the whole concept of a limit here just means that an element is in the limit $\bigcup_n S_n$ if it is eventually in $S_k$ for $k$ sufficiently large.
Dec
19
comment What is a non-decreasing sequence of sets?
Could it perhaps be a sequence $S_1 \subset S_2 \subset S_3 \dots$?
Dec
19
answered How to answer the question “what is the domain of this function”?
Dec
19
answered Image of open set is not open?
Dec
14
awarded  Caucus
Dec
3
awarded  Nice Answer