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WaterDrop
  • Member for 5 years, 3 months
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4 votes
2 answers
2k views

How many ways can you split $11$ people into $2$ groups

4 votes
3 answers
416 views

Let $G$ be a group in which $aba = b \; \forall a,b \in G$. Prove that $G$ is Abelian.

3 votes
1 answer
379 views

What does it mean for $f:\mathbb{R}^2 \to \mathbb{R}$ to be twice differentiable [duplicate]

2 votes
2 answers
47 views

Classify the singularity of $\frac{e^{z^2}-1}{z}$ and $\frac{e^{z^2}-1}{z^k}$ where $k$ is an integer greater then or equal to 2

2 votes
1 answer
405 views

Find a Möbius transformation such that a semi-circle in the upper half plane is mapped to $i\mathbb{R}_{>0}$

2 votes
3 answers
211 views

Laurent series of $e^{1/z}$ centred at $z=1$

2 votes
1 answer
133 views

Let $A$ be an $n \times n$ matrix of rank $r$. If $U = \{X \in M_{nn}: AX=0\}$, find dim($U$) [closed]

2 votes
2 answers
404 views

Random Variable Transformation With Dirac delta function

2 votes
3 answers
715 views

Prove $a^n+1$ is divisible by $a + 1$ if $n$ is odd [duplicate]

1 vote
6 answers
457 views

Solve for $x$ when $e^{2x}-3e^x=4$

1 vote
3 answers
76 views

Is The Series $\sum_{n=1}^{\infty} \frac{n^4-3n+2}{4n^5+7}$ Divergent

1 vote
1 answer
130 views

Find the value of $a$ and $b$, so the linear system stays consistant

1 vote
2 answers
87 views

How to prove that $\Bbb R$ is a subset of $f(\Bbb{R})$

1 vote
1 answer
289 views

Composition of 3 functions

1 vote
2 answers
238 views

Variance of a piecewise pdf

1 vote
2 answers
142 views

For a given transformation $T: V \rightarrow W$ why does $im(T) \cong V/ker(T)$

1 vote
2 answers
73 views

Find The Laurent Series of $\frac{z}{z-1} \sin{z}$ around $z=1$

1 vote
0 answers
338 views

Thoughts Regarding ALGANT

1 vote
1 answer
41 views

Evaluate $\lim_{n \to \infty} \left( \frac{z}{i+2} \right)^n$

1 vote
1 answer
100 views

If $\beta = \left( 1 \;3 \;5 \;7 \;9 \;8 \;6\right)\left(2\; 4 \;10\right) \in S_{10}$, what is the smallest integer such that $\beta^n = \beta^{-5}$?

1 vote
1 answer
59 views

Find the order of $\phi_{(1\,2\,4\,3)}$ in $\text{Inn}(S_5)$

1 vote
3 answers
147 views

Show that $\sum_{k=0}^n \binom{2n}{2k} = 2^{2n-1}$ [duplicate]

1 vote
1 answer
22 views

Given an orthonormal basis $\beta$, transformation $T$ and $T'$, show that $M_\beta(T')$ is the transpose of $M_\beta(T)$

1 vote
1 answer
111 views

Example of a differentiable function such that its partial derivatives are not continues at some point

0 votes
2 answers
441 views

Mean number of sixes after rolling 100 dice

0 votes
0 answers
42 views

Volume integral of $f(|\mathbf{x}_1-\mathbf{x}_2|)$

0 votes
1 answer
170 views

How do you propagate uncertainty for the equation $\sqrt{\left( \frac{2 \sin{\theta}}{\sqrt{3}}+\frac{1}{2} \right)^{2}+\frac{3}{4}}$

0 votes
1 answer
92 views

Let $U,W \subseteq \mathbb{R}^n$ be subspaces. Assume that $U \oplus W = \mathbb{R}^n$. Prove that $U^\perp \oplus W^\perp=\mathbb{R}^n$.

0 votes
3 answers
247 views

Why is $\frac{1}{n}+\frac{1}{n+1}+\frac{1}{n+2}+...+\frac{1}{k}\geq \frac{1}{2}$?

0 votes
0 answers
55 views

If $\ell_1$ is a hyperbolic line, show there exists a perpendicular line $\ell_2$ such that $p\in \ell_2$ where $p \in \mathbb{H}\setminus\ell_1$