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visits member for 1 year, 11 months
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Sep
14
asked An algebra question for vectors in R^2
Sep
5
comment recurrence relation of a finite sequence
If I assume the characteristic equation $x^2-ax-b=0$ has two different roots $x_1,x_2$ can I deduce that $v_{k}=Ax_1^k+Bx_2^k, k=1,2,\ldots,n$?
Sep
5
comment recurrence relation of a finite sequence
Your answer is very easy to follow, @amcalde thank you. Btw, what is the range of $k$ in your formula of $v_k$? I wonder $k=1,2,\ldots,n$ or $k \ge 1$?
Sep
5
comment recurrence relation of a finite sequence
Thank you @Mark Bennet. Nice explanation. That means even the recurrence relation is true for finite numbers $k$ we can still have the general formula for $v_k$, isn't it?
Sep
4
comment recurrence relation of a finite sequence
I often work with infinite sequences so that if the recurrence relation is satisfied for $k \ge 1$ then we can deduce the general formula for $v_k, k \ge 1$. What happens if the relation is just satisfied for finite numbers $k$ for instance here $k=1,2,\ldots,n-2$?
Sep
4
asked recurrence relation of a finite sequence
Jul
2
awarded  Curious
May
18
comment Waiting time in a bus stop
Thank you for your detailed solution solving the problem over uniformly distributed version.
May
18
accepted Waiting time in a bus stop
May
18
comment Waiting time in a bus stop
@AndréNicolas. Thank you for your answer solving both versions. Actually, I mean that the first bus of day comes in at 7am and after any 15 minutes there is other comimg. In the case my attemping correction is still not clear. Can we do a "trick" that whenever problems refer an assumption like "7 and 7:30", the problems is automatically considered over uniform distribution?
May
18
comment Waiting time in a bus stop
@AndréNicolas. I didn't see the assumption the passenger arriving at the bus stop between 7 and 7:30. Why we don't need this?
May
18
comment Waiting time in a bus stop
@Floris. You're right. The buses arrive every 15 minutes. I edited it.
May
18
revised Waiting time in a bus stop
deleted 12 characters in body
May
18
comment Waiting time in a bus stop
@AndréNicolas. Thank you. I just know from your hint, $\lambda =15$. If the exponential distribution is expected to use so I need something for (a) like $P(X<10)=1-e^{-15 \times 10}$. But the assumption concerning with 7 and 7:30 hasn't used yet.
May
18
asked Waiting time in a bus stop
Apr
17
awarded  Teacher
Apr
17
answered Convex cone question.
Apr
12
awarded  Commentator
Apr
12
comment A question for pointed cones
Is there anybody here?
Apr
11
revised A question for pointed cones
added 98 characters in body