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MathNerd
  • Member for 8 years, 7 months
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  • Doesn't Matter
82 votes
7 answers
6k views

Rigorous nature of combinatorics

  • 2,267
41 votes
13 answers
14k views

Function which creates the sequence 1, 2, 3, 1, 2, 3, ...

  • 2,051
25 votes
4 answers
24k views

Formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, ...$

  • 5,556
23 votes
4 answers
22k views

Bijection between an open and a closed interval

  • 6,061
22 votes
8 answers
87k views

Why does the sum of the reciprocals of factorials converge to $e$?

13 votes
2 answers
701 views

Can we simplify $\int_{0}^{\infty}\frac{{\sin}^px}{x^q}dx$?

  • 122k
13 votes
2 answers
4k views

$\sin(n)$ subsequence limits set

11 votes
3 answers
3k views

References for Topology with applications in Engineering, Computer Science, Robotics

  • 223
10 votes
4 answers
8k views

Associativity of symmetric difference of sets

10 votes
0 answers
444 views

Proving $\lim\limits_{n\to \infty}\int\limits_{0}^{1} f_n(x)dx=0$

  • 2,582
7 votes
3 answers
1k views

continuity of $\max \{f_1(x),f_2(x),\cdots,f_m(x) \}$ at $a$

  • 8,484
6 votes
4 answers
152 views

How to prove the real value function $f$ is convex on $[a,d]$ if $f$ is convex on both $[a,c]$ and $[b,d]$? ($a<b<c<d$).

  • 1,334
5 votes
1 answer
681 views

Integral of a bivariate Gaussian in the positive quadrant

  • 9,785
4 votes
2 answers
2k views

Bounded derivative implies bounded function?

  • 25.9k
4 votes
4 answers
81 views

What are the maximum and minimum values of $\langle u, v\rangle + \langle v, w\rangle + \langle w, u\rangle$?

3 votes
2 answers
228 views

Find nth term of sequence

3 votes
2 answers
137 views

Evaluating $\lim_{x\to\infty}\frac{\int_0^{2x}\sqrt{1+t^2}dt}{x^2}$

3 votes
2 answers
8k views

Showing $a_n=\sin(n)$ does not converge [duplicate]

  • 4,281
3 votes
3 answers
146 views

Calculate $\lim_{n\to\infty}\int_0^1\frac{nx}{1+n^2 x^3}\,dx$.

3 votes
1 answer
59 views

Lebesgue measure on countable union

  • 516
2 votes
3 answers
7k views

Is the function $f(x)= {\sin x \over x}$ uniformly continuous over $\mathbb{R}$? [duplicate]

  • 2,061
2 votes
3 answers
103 views

Calculating $\lim_{x\rightarrow 0}\frac{1}{x^n}e^{\frac{-1}{x^2}}$ (by hand)

  • 67
2 votes
2 answers
228 views

lim inf and lim sup of sequence obtained from combination of two sequences

  • 3,909
2 votes
1 answer
352 views

Approximation to the second derivative of a function through second differences

2 votes
1 answer
555 views

Every point of the unit circle is a limit point of $x_k = \left(1+\frac{1}{2^k}\right)\begin{bmatrix} \cos k\\\sin k\\ \end{bmatrix}$

1 vote
1 answer
58 views

Prove that if you can derive w from α in n steps, it's possible with n left-derivations as well

  • 2,447
1 vote
1 answer
208 views

Prove that two arithmetic grammars generate the same language

  • 2,447
1 vote
1 answer
211 views

A fish curve constructed from a circle

  • 6,758
0 votes
3 answers
4k views

merge sort vs insertion sort time complexity