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Joe
  • Member for 4 years, 9 months
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4 votes
5 answers
7k views

The difference between ∈ and ⊂

3 votes
4 answers
708 views

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

3 votes
1 answer
314 views

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

2 votes
1 answer
2k views

Reverse Triangle Inequality in vector space

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
2 answers
4k views

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

2 votes
3 answers
1k 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
120 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
135 views

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

2 votes
2 answers
238 views

Quantile function of log-normal distribution

1 vote
1 answer
3k views

Posterior distribution of uniform likelihood and Pareto prior

1 vote
3 answers
56 views

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

1 vote
1 answer
110 views

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

1 vote
3 answers
93 views

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

1 vote
1 answer
823 views

Expected value of truncated distribution

1 vote
4 answers
68 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
42 views

What is the linear regression model of this situation?

1 vote
1 answer
30 views

What is the prior and sampling distribution of this situation?

1 vote
1 answer
208 views

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

1 vote
2 answers
135 views

How to choose the expression to substitute?

1 vote
1 answer
38 views

Sampling without replacement with the sample size being chosen radomly

1 vote
3 answers
215 views

A man forgets his umbrella to a store with a probability of $\frac{1}{4}$. What is the probability for the umbrella being left in the store $i$ ?

1 vote
2 answers
27 views

$S_f(r)=\{x\in A: f(x)=r\}$ is a plane curve

1 vote
1 answer
23 views

Prove weak formulation of linear system of equations

1 vote
1 answer
3k views

Proof inverse Gaussian distribution belongs to the exponential family

1 vote
1 answer
108 views

Range of a convergent sequence is bounded.

1 vote
3 answers
44 views

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

1 vote
1 answer
51 views

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