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2d
comment Does Tom catch Jerry?
This looks like the Merchant Vessel Problem which you can find in Nahin's book Chases and Escapes.
2d
revised How we can prove that $a_n=\sum _{k=1}^nf\left(k\right)-\int _0^n f(t)\:dt$ is convergent?
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2d
revised How we can prove that $a_n=\sum _{k=1}^nf\left(k\right)-\int _0^n f(t)\:dt$ is convergent?
edited title
2d
comment How we can prove that $a_n=\sum _{k=1}^nf\left(k\right)-\int _0^n f(t)\:dt$ is convergent?
Absolute value? I just took it out with some changes. The point is, you got to be careful with your signs and make sure you have something positive.
2d
answered How we can prove that $a_n=\sum _{k=1}^nf\left(k\right)-\int _0^n f(t)\:dt$ is convergent?
2d
revised Finding the derivative of the integral using the Fundamental Theorem of Calculus.
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Apr
23
comment How to prove that it is possible to make rhombuses with any number of interior points?
You can actually do this with just squares.
Apr
23
comment Largest age difference between great-great-…-grandparents?
And yes, I wasn't sure about the $Y$'s being independent but perhaps it can be massaged into something like the above?
Apr
23
comment Largest age difference between great-great-…-grandparents?
I agree it's not realistic but it's the simplest model I can think of!
Apr
23
revised Largest age difference between great-great-…-grandparents?
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Apr
23
asked Largest age difference between great-great-…-grandparents?
Apr
21
answered Prove that $g(x):=|f(x)|$ is differentiable iff $f'(a)=0$
Apr
21
answered Why do we take the odd extension?
Apr
15
answered If $\gcd(m,n)= 1$ and $n \leq km$ and $m \leq kn$
Apr
15
comment If $\gcd(m,n)= 1$ and $n \leq km$ and $m \leq kn$
Well, one of the inequalities in redundant as we can take $m \geq n$ without loss of generality.
Apr
14
comment What is $\left[\frac{1}{2}(p-1)\right]! \;(\text{mod } p)$ for $p = 4k+1$?
I missed that. The original statement is more curious then I thought at first glance. It's obvious to me it's either $1$ or $-1$ but why based on number of quadratic residues?
Apr
14
comment What is $\left[\frac{1}{2}(p-1)\right]! \;(\text{mod } p)$ for $p = 4k+1$?
How is the number of quadratic residues related? Don't you just care about $-1$?
Apr
14
comment Difficulty faced in solving maths problems
I can relate this as I am sure many others can. Perhaps you can gave some examples of your reading material people can relate more specifically.
Apr
12
asked Is $\sum_{k=0}^n \frac{1}{a+bk}$ ever an integer?
Apr
11
comment Nonlinear second-order ODE $yy'' - (y')^{2} = y^4$
The ad-hoc strategy for solving an ODE looking like this is to (a) look for a form like $d/dx[f(y,y')]$ or the second derivative in the ODE or (b) multiply by $y'$ or $y''$ and try (a).