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Apr
16
comment Laplace transform of integral equation
What have you tried? Are you able to start Laplace transforming both sides?
Apr
16
answered Wronskian Bessel Equations
Apr
15
revised Uniform convergence of Lagrange polynomials
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Apr
15
comment Uniform convergence of Lagrange polynomials
@DanielFischer: that's true but, it's also uniformly continuous right? So can't we pick the smaller module?
Apr
15
revised Uniform convergence of Lagrange polynomials
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Apr
15
answered Uniform convergence of Lagrange polynomials
Apr
15
comment Uniform convergence of Lagrange polynomials
Note that $x_i$ cannot be arbitrary. For example if for each $n$ you pick your $x_i$ to reside in $[0,1/2]$ then you're screwed on $[1/2,1]$. You could try for example to pick your $x_i$ in a dyadic fashion, by using intervals of the form $[\frac{i}{2^n},\frac{i+1}{2^n}]$.
Apr
15
answered Find $T(1)$, $T(x)$ and $T(x^{2})$ and $T(ax^2+bx+c)$
Apr
15
answered Prove: If $\{a_n / n\}$ converges to L which is not 0, then $\{a_n\}$ is unbounded.
Apr
14
revised Simple question about a complex valued function
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Apr
14
answered Simple question about a complex valued function
Apr
14
comment Doubt regarding convergence!
@user92360: I've sketched it out in the answer.
Apr
14
revised Doubt regarding convergence!
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Apr
14
comment Doubt regarding convergence!
@user92360: try proving it by contradiction. A simpler example to keep in mind is that if $a_n$ is a sequence of numbers with limit $a$ and if $a_n\leq b$ then $a\leq b$.
Apr
14
answered Doubt regarding convergence!
Apr
13
comment if $\frac{a_{1}a_{2}a_{3}\cdots a_{n}-1}{(a_{1}-1)(a_{2}-1)(a_{3}-1)\cdots(a_{n}-1)}\in N^{+}$,How find $a_{i}$
Does something go wrong for general $n$ if you try to emulate the proof in the pdf you linked to (for $n=4$)?
Apr
13
comment How can I prove that $\frac{\sigma(n)}{n} = \sum_{(d|n)} \frac{1}{d}$ for every $n \in \mathbb{Z^{+}}$?
To prove the hint, show that $f(d)=n/d$ is a bijection from the set of divisors of $n$ to itself.
Apr
13
comment Is math independent of our sensory experience?
@user141421: I'm guessing Nietzsche said that about philosophy, not mathematics ;). This of course does not include the philosophical interpretations of what mathematics is.
Apr
13
revised Is math independent of our sensory experience?
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Apr
13
revised Is math independent of our sensory experience?
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