Homework Statement
Events X, Y, Z are all Poisson processes. Event X has a rate of 1 per unit time , event Y has a rate of 2 per unit time and event Z has a rate of 3 per unit time.
Find the probability that 2 events (of any type) occur during the interval (0, 3).
Homework Equations...
The linear transform is differentiation function.
The eigenvalues I'm not so sure of , the main reason I say it is because in my notes it seems to be the only thing remotely to do with this question.
In the following deffinitions I have , I assume he means A is the vector space you start...
Homework Statement
Let U be the R-vector space consisting of all polynomials of degree at most n with
coefficients that are real.
The Derivative Map
F : U \rightarrow U
f(x) \rightarrow f'(x)
Is the derivative function F diagonalizable?
The Attempt at a Solution
My instinct...
Using (1) , I find out \frac{\delta \textbf{u}}{\delta t} which I get to be it\textbf{u} from (4) so plugging this into (1) gives us three equations of the 4
itus + 2\hat{\textbf{z}} x u_{s} = - \frac{\delta p}{\delta s}
itu\phi + 2\hat{\textbf{z}} x u_{\phi} = - \frac{\delta p}{\delta...
Heya , sorry but could someone check what I've done is right ? The remainder of the question relies on these answers :S
Homework Statement
We consider a homogeneous fluid in a sphere of radius r0 = 1 in the limit of kinematic viscosity v = 0 which is rotating uniformly about its axis...
Okay I think I have something but I'm unsure whether it's right.
for \frac{1}{c} = sup T it must meet the following two criteria.
1) \frac{1}{c} is an upper bound such that \frac{1}{c} \geq \frac{1}{t} \forall t \in S
2) \forall e > 0, \exists x \in A with \frac{1}{c+e}< \frac{1}{t}...
Homework Statement
Let S be a set of positive real numbers with an infimum c > 0 and let the set T = {\frac{1}{t} : t \in S}.
Show that T has a supremum and what is it's value.
The attempt at a solution
Ok, so the value must be \frac{1}{c}.
But I'm unsure how to start proving...