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Aug
16
comment Definite integral $\int_{-64}^{1}\frac{dx}{x^{1/3}}$
@ClaudeLeibovici I agree with you. This is Cauchy principal value.
Jul
22
reviewed Approve suggested edit on Find the volume of the solid enclosed by the paraboloids
Jul
19
comment The Dirac Delta Distribution $\delta_0 : D \to \mathbb R$ is not regular
You can see here also some ideas.
Jul
17
reviewed Approve suggested edit on Actuary P/1 Exam Question
Jul
15
accepted How to evaluate $\sum\limits_{k=0}^{n} \sqrt{\binom{n}{k}} $
Jul
15
awarded  Nice Answer
Jul
13
revised Integration and differentiation complicated equation
added 12 characters in body
Jul
11
reviewed Approve suggested edit on Pirates And Coins No.1
Jul
11
reviewed Approve suggested edit on Pseudoinverse system of linear equation
Jul
2
awarded  Curious
Jun
30
revised Whats wrong with my proof
added 2 characters in body; edited tags
Jun
30
reviewed Approve suggested edit on double integral of $\sin \frac{y}{x+y}$
Jun
29
reviewed Approve suggested edit on A counter-example to differential function but not twice differential
Jun
24
comment Limit in a sense of distributions
Dear @Vobo, I am confused now. Didn't you in $\int_R \frac{\sin y}{y} \phi(\frac{y}{a})\,dy$ change $\phi(\frac{y}{a})$ with $\phi(0)+\frac{y}{a} \phi'(\xi_y)$? If yes, then you used result from my second comment (or not?) (and you thought $a \to \infty$, but that is all right)
Jun
23
comment Limit in a sense of distributions
Dear @Vobo, please correct me if I am wrong, but I don't think we can say that $\int_R \frac{\sin y}{y} \phi (0) \, dy = \phi(0) \int_R \frac{\sin y}{y}\, dy = \pi \phi(0)$ because second integral is not Lebesgue. As far I know, we work here with Lebesgue integral.
Jun
22
reviewed Approve suggested edit on Premises of the Mean Value Theorem
Jun
22
comment Limit in a sense of distributions
I am pretty new with this sort of problems, but as far I know function $\sin x/ x$ isn't Lebesgue integrable on $\mathbb{R}$. Your final answer is correct, but I am not sure that this is right way to obtain it. (I know other way, it is similar)
Jun
21
reviewed Approve suggested edit on A little help in this binomial problem.
Jun
18
reviewed Reject suggested edit on For subsets $U,W,W'$ of $V$ is $U \oplus W = U \oplus W' \Rightarrow W=W'$ true?
Jun
18
reviewed Approve suggested edit on not complete solution in computation of singular cohomology