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Calvin Khor
  • Member for 9 years, 1 month
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49 votes
Accepted

Double summation with improper integral

37 votes

Looking for a function that approximates a parabola

31 votes
Accepted

Why do we say "almost surely" in Probability Theory?

18 votes
Accepted

How to visualize norm 3, norm 4,.. distance between two points in X-Y Plane

18 votes

Concave implies subadditive

17 votes
Accepted

Can I derive the formula for expected value of continuous random variables from the discrete case?

15 votes
Accepted

Uniqueness of exponential function

11 votes

Is there a function from $(0, 1)$ to $\mathbb{R}$ that is surjective but not injective?

11 votes

Lebesgue non-measurable function

10 votes
Accepted

Derivative of a double integral over a variable circular region

10 votes

Limit calculation using derivative

10 votes
Accepted

Is there a smooth, preferably analytic function that grows faster than any function in the sequence $e^x, e^{e^x}, e^{e^{e^x}}...$

10 votes

$2=1$ Paradoxes repository

9 votes

Is $\sum_{n=1}^{\infty} 1 = -\frac{3}{12}$ true?

9 votes
Accepted

If $a_n \to z$, then does $\frac{{n \choose 1} a_1 + {n \choose 2} a_2 \dots {n \choose n} a_n}{2^n} \to z$?

9 votes
Accepted

Uniform convergence of alternating series

8 votes
Accepted

Suppose that $f \in \mathcal{C}^{1}([a, b])$. Prove that $|f(x)| \leqslant \frac{1}{2}|f(a)+f(b)|+\int_{a}^{b}\left|f^{\prime}\right|$

8 votes
Accepted

A martingale characterization

8 votes

Is every monotonic additive function $f \colon \mathbb{R} \to \mathbb{R}$ continuous?

7 votes
Accepted

Basic questions about the sobolev space $H^\infty(\mathbb{R})$

7 votes
Accepted

Is my proof of second fundamental theorem of calculus (without mean value theorem) valid?

7 votes

How is Lebesgue integration "partitioning the range"?

7 votes

Issues with the Fourier Transform of $f(t)=(1-t^2)^4$ on $[-1,\,1]$, should be analytical but looks like having a singularity with noise-like rippling

6 votes
Accepted

If the integral of a series of functions converges to zero, does that series also converge pointwise to zero?

6 votes
Accepted

Incompressible Fluid form of the Navier Stokes Equations - Is pressure given?

6 votes

Is the union of $l^p$ spaces ($1\le p<\infty$) equal to $c_0$?

6 votes
Accepted

Does $A(x, m) = 1 - A(m, x)$ imply some symmetry in partial derivatives?

6 votes

Definition of Lebesgue Integral

6 votes
Accepted

Find the roots of the equation $x^2-[x]=4$ where $[x]$ is the greatest integer less than or equal to $x$.

6 votes
Accepted

The curl of $ ({ \mathbb {P}}(u\cdot \nabla u) )=\nabla \cdot (\omega S\ast\omega)$

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