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visits member for 2 years, 10 months
seen 20 hours ago

Freshman studying at Yale.


20h
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 ($f(x) = f(y) \implies x = y$).
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awarded  Constituent
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revised Why this approach to differentiate $\log_{10}(x+1)^x$ does not work?
deleted 23 characters in body
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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?
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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 $u(x) = x^2$.
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answered Fundamental Theorem of Calculus 1 - definite integral
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comment Computing the value of a function whose derivative is another function
What do you mean by dependent variables?
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comment Easy question about line up points ?
Are you looking for "draw a line in between them"?
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answered Why this approach to differentiate $\log_{10}(x+1)^x$ does not work?
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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.
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comment What is a non-decreasing sequence of sets?
Could it perhaps be a sequence $S_1 \subset S_2 \subset S_3 \dots$?
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answered How to answer the question “what is the domain of this function”?
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comment How many 10-character strings can be formed using p characters
Take $A$ to be the digits $0$ through $9$. Is $1111111111$ a valid code?
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comment How many 10-character strings can be formed using p characters
Is it clear that the second question is without replacement?
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answered Image of open set is not open?
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awarded  Caucus
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awarded  Nice Answer
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awarded  Nice Question
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awarded  Popular Question
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awarded  Explainer