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Joe
  • Member for 6 years, 6 months
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7 votes
5 answers
15k views

The difference between ∈ and ⊂

4 votes
1 answer
1k views

Prove that $(I+A^{-1})^{-1}=A(A+I)^{-1}.$

3 votes
2 answers
6k views

Reverse Triangle Inequality in vector space

3 votes
4 answers
2k views

Show that the series converges and find its sum [duplicate]

2 votes
2 answers
5k views

Show that the Mean Value Theorem does not apply to $f(x)=x^{-2}$ on $(-1,1)$

2 votes
3 answers
2k views

Use the Mean Value Theorem to prove that if a continuous and differentiable function $f$ has two roots, then $f'$ has at least one root

2 votes
1 answer
143 views

Prove events are independent if and only if $p=\frac{1}{2}$

2 votes
1 answer
2k views

Prove that if $v$ and $w$ are eigenvectors associated with the eigenvalue $\lambda,$ so is the vector $2v-w$.

2 votes
2 answers
143 views

Solve $ \lim_{x\to ∞}\frac{x+\sin(x)}{2x+\cos(x)} $

2 votes
0 answers
45 views

Find the partial derivatives of the function $f(x)=\|x\|^{\alpha}$ outside of $(0,0)$

2 votes
0 answers
44 views

Prove that $xy^2+y^3z^4+z^5x^6=1$ has a solution in an open neighborhood about the point $x_0=(0,1,-1)$

2 votes
1 answer
7k views

Proof inverse Gaussian distribution belongs to the exponential family

2 votes
1 answer
2k views

Expected value of truncated distribution

2 votes
2 answers
486 views

Quantile function of log-normal distribution

1 vote
1 answer
6k views

Posterior distribution of uniform likelihood and Pareto prior

1 vote
1 answer
27 views

Prove weak formulation of linear system of equations

1 vote
1 answer
2k views

Cumulative distribution function of log-normal distribution

1 vote
3 answers
174 views

Assume $f$ and $g$ are continuous at $x=a$. Prove $h=\max\{f,g\}$ is continuous at $x=a$.

1 vote
3 answers
101 views

Show $\sum^{\infty}_0q^k$ converges with integral test

1 vote
1 answer
240 views

Show if the series $\sum^{\infty}_1\sin\frac{1}{n}$ converges using the integral test

1 vote
1 answer
663 views

Show that the series $\sum^\infty_{k=1}kx^k$ converges uniformly

1 vote
4 answers
87 views

Let $\sum^\infty_{n=1}x_n$ where all the terms are positive. Prove that if this series is convergent, so is $\sum^\infty_{n=1}x_n^2.$

1 vote
1 answer
45 views

What is the linear regression model of this situation?

1 vote
1 answer
56 views

What is the prior and sampling distribution of this situation?

1 vote
2 answers
57 views

How to simplify double summation in a sophisticated way?

1 vote
1 answer
174 views

Range of a convergent sequence is bounded.

1 vote
3 answers
46 views

Let $S=\{\frac{\sqrt{x}}{x+1}:x>0\}$. Show that $\inf{S}=0$.

1 vote
1 answer
57 views

How to graph $\eta(t)=(t,|t|)$?

1 vote
2 answers
174 views

How to choose the expression to substitute?

1 vote
1 answer
40 views

Sampling without replacement with the sample size being chosen radomly