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A.S's user avatar
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A.S
  • Member for 12 years, 4 months
  • Last seen more than 3 years ago
  • United States
24 votes

What's the difference between $3^{3^{3^3}}$ and $27^{27}\;$?

17 votes

If $K = \frac{2}{1}\times \frac{4}{3}\times \cdots \times \frac{100}{99}.$ Then value of $\lfloor K \rfloor$

16 votes

We break a unit length rod into two pieces at a uniformly chosen point. Find the expected length of the smaller piece

13 votes

Indefinite integral of secant cubed $\int \sec^3 x\>dx$

11 votes
Accepted

Why accept the axiom of infinity?

11 votes

Image of open set is not open?

11 votes

How would you prove that $\sqrt[n]{2}$ is irrational?

10 votes

$a_{n+1}=a_{n-1}-{4\over a_n}$ for $n>1$

10 votes
Accepted

$\{1,1\}=\{1\}$, origin of this convention

10 votes
Accepted

Integral of $\int{\frac{dx}{(\arcsin{x})\sqrt{1-x^2}}}$

10 votes

What are the differences between class, set, family, and collection?

10 votes

what $D_8/D_8$ is isomorphic to

9 votes

Sigma algebra generated by the set of all singletons

9 votes

If A and B are two Matrices , than find $(A-B)^2$.

8 votes
Accepted

Prove that if $n$ is a positive integer then $\sqrt{n}+ \sqrt{2}$ is irrational

8 votes
Accepted

Simplifying repeating square roots.

8 votes

Why are the solutions to second order differential equations summed?

8 votes
Accepted

Injectivity of $A-\lambda I$

8 votes
Accepted

If $m^*(E)=\infty$, then $E=\bigcup_{k=1}^{\infty}E_k$, $E_k$ measurable and $m^*(E_k)<+\infty$

8 votes
Accepted

Angle between two 3D lines

7 votes
Accepted

$\lim_{n\rightarrow\infty}n(\ln n)a_n=0$ implies $\sum a_n$ converges?

7 votes
Accepted

Why is $ \|T(x) \|\le \| T\| \|x \|$?

7 votes
Accepted

How big such set is?

6 votes

How can I prove that $|A| + |B| = |A\cup B| + |A\cap B|$?

6 votes
Accepted

How to graph gradient vector?

6 votes

Evaluating $\int \frac{x+4}{x^2 + 2x + 5}dx$

6 votes

How it follows that $a=0$

6 votes
Accepted

A is similar to $A^k$, then each eigenvalue of $A$ is a root of unity

6 votes
Accepted

For which values of $n$ does $1 + 2 + \cdots + n$ divide $n!\ \ \ $?

6 votes

Showing $ x-y\in\mathbb{Q}$ is an equivalence relation?

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