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mrnovice
  • Member for 7 years, 3 months
  • Last seen more than a month ago
7 votes
4 answers
110 views

Proving that $a_n=\frac{n^2+2n+6}{n^3-3}\to 0$ as $n\to\infty$

4 votes
3 answers
239 views

Is there a general formula for the integral $I_{n} = \int_{0}^{\frac{\pi}{2}} \sin^{2n-1}x + \sin^{2n-3}x + ... + \sin x dx, n\in \mathbb{N}$.

3 votes
1 answer
169 views

Stability of first order nonlinear ODE

2 votes
0 answers
42 views

Proving that if $Re(a_n)\to a$ and $Im(a_n)\to b$, then $a_n\to a+bi$

2 votes
1 answer
3k views

Show that $f(x) =x\sin(1/x)$ if $x>0$, $f(x)=0$ if $x\leq 0$, is continuous

2 votes
1 answer
4k views

Finding a pivotal function from uniform distribution

2 votes
0 answers
941 views

Convolution of two independent exponential random variables

2 votes
0 answers
112 views

How to find the highest common factor of two complex numbers [duplicate]

1 vote
1 answer
212 views

What is the 'units' digit of $n$?

1 vote
1 answer
322 views

Wronskian matrix

1 vote
3 answers
45 views

Approach to finding basis of vector space

1 vote
2 answers
600 views

Differential equation integrating factor

1 vote
1 answer
19 views

Difference between two definitions for recurrence

1 vote
1 answer
349 views

When is the following process stationary?

1 vote
2 answers
182 views

In a normal linear model (with intercept), show that if the residuals satisfy $e_i = a + \beta x_i$, then each residual is equal to zero.

1 vote
0 answers
13 views

Showing the following function is continuous

1 vote
1 answer
140 views

Tensor vector identity $\vec{B}\cdot\operatorname{curl}\vec{A}-\vec{A}\cdot \operatorname{curl} \vec{B} = \operatorname{div}(\vec{A}\times \vec{B})$

0 votes
1 answer
32 views

Is the following set closed? $S={x=(x_1,x_2,...,x_n)^t\in \mathbb{R}^n :x_1\geq 0}$

0 votes
2 answers
95 views

Finding the partial derivatives of $u(x(t),t)$

0 votes
1 answer
176 views

What is the joint probability density function of two independent uniformly distributed random variables between (0,1)?

0 votes
2 answers
42 views

Show that $I_{(0,\theta)}(x_1) \dots I_{(0,\theta)}(x_n) = I_{(0,\theta)}(x_{(n)})$

0 votes
2 answers
111 views

Joint Linear Regression hypothesis test

0 votes
1 answer
30 views

Compute $I =\int_{0}^{\infty} exp\{-\frac{1}{2b}(y+b-c)^2\}dy+ \int_{-\infty}^{0} exp\{(-\frac{1}{2b}(y-b-c)^2\}dy, \quad b>0,\quad c\in\mathbb{R}$

0 votes
2 answers
83 views

Show that $\hat{\beta} - \hat{\beta}_{(i)} = \frac{(X^TX)^{-1}\vec{x}_{i}^{T}(y_i-\hat{y}_i)}{1-h_{ii}}$

0 votes
1 answer
28 views

What is the distribution of $X=F_{X}^{-}(x)$?

0 votes
1 answer
254 views

Plotting the contour graph of $f(x,y) = x^3+y^2-3x$

0 votes
1 answer
83 views

Difference between $b_{n}$ unbounded and $b_{n}$ not converging

0 votes
1 answer
19 views

Finding a sequence $a_{n}$ and $b_{n}$ where $a_{n}$ converges and $b_{n}$ is unbounded, and $a_{n}b_{n}$ converges

0 votes
1 answer
160 views

A runner completing a race, and an infinite gp

0 votes
1 answer
48 views

Maximising the volume of a can with respect to a given surface area