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Apr
24
comment Continuity Rewritten: $\forall\delta>0,\exists\varepsilon>0\dots$
@BarryCipra, my diction was off: I meant to express "subtle," not "succinct." Thank you.
Apr
24
comment Continuity Rewritten: $\forall\delta>0,\exists\varepsilon>0\dots$
An implication is indeed not always equivalent to its converse. For this particular case, however, it was not readily obvious to me.
Apr
9
comment Converge the sequence $\left(\left(1+\frac{1}{n}\right) \left(1+\frac{2}{n}\right)\cdots\left(1+\frac{n}{n}\right)\right)^{1/n}$
It looks like you applied the natural logarithm (and its rules) to the above expression to end up with a Riemann sum. Is this correct?
Feb
19
comment Precise definition of limit
@Valentino: oh, man, I have that book, and it is not that straightforward. :-O
Feb
19
comment Probability and dice rolls
+1 I programmed a simulation that corroborates this.
Feb
19
comment Intervals of Convex and Concave function
You correctly found the point where the second derivative of the function changes its sign. Now, what you call each half is irrelevant, really. However, if rain falls from above, then $x>\ln1/2$ will collect water because it is concave.
Dec
10
comment
@Bak1139, are you familiar with clicking users' profiles to deduce whether they know how the system works?
Nov
28
comment Bipartite Graph and Non-connected node?
Do you know what it means for a graph to be bipartite?
Nov
28
comment Naturality of $n$-truncation
Please fix the title of your question.
Nov
27
comment Derivation of Simple Projectile Motion with Drag
I see. So I have to treat the components individually.
Nov
21
comment Prisoners Problem
To execute a finite number of prisoners, a strategy must be construed in such a way that after the execution of prisoner $m$, all successive prisoners guess the color of their hats correctly.
Aug
19
comment If the integral $\int_0^\infty xf(x)\,dx$ converges, so does $\sum_{n=1}^{\infty}\int_0^{\infty}f(x+n)\, dx$
What have you tried? Please show your work.
Aug
12
comment Proof Involving a Problem from “Good Will Hunting”
And it took a fields medalist two years to solve...
Apr
30
comment Riemann Hypothesis Proof - legit?
What's inconceivable is the amount of time the author wasted, whether consciously or not.
Dec
2
comment How to prove that $P \neq NP$
"... then you will have effectively proved that there exists at least one $P$ such that $P=NP$..."
Nov
27
comment Pigeonhole Principle Homework Problem
Bah! Both of you get an up-vote.
Nov
26
comment Area between the graph of each function and the x-axis
You divided $(1)$ in four parts, but notice how some of the integrals yield negative values.
Oct
29
comment Trigonometry: Isosceles Triangle
I see. Thank you for the link!
Oct
28
comment The question about the word of “Mathematics”.
@JohnAdamski, I totally agree. Thank you for pointing that out.
Oct
28
comment The question about the word of “Mathematics”.
No English word other than "mathematics" is an anagram of "mathematics."