Recent content by riemann86

Thank you very much, that is a very good point!

In one example I saw someone make an argument I haven't seen before. They had 2 confidence intervals for 2 different statistics, and they said that since these two confidence intervals didnt overlap, we could assume that the expected values where different. This made me think of test of...

Maybe it will be clearer what I am struggling with if I use one number instead of three. Let's redefine the event A to "exactly 1 machine in use". Then let's define the event B = "not (exactly 1 machine in use)", is well defined as the complement of A. So if the sample space is S, we have B =...

Ok, so there isn't a similar way to describe : "(exactly 2 or exactly 3 or exactly 4) is not in use" in terms of "exactly 2, or exactly 3 or exactly 4 is in use" Like we can describe: "not( exactly 2, or exactly 3 or exactly 4) in use" is the complement of "exactly 2 or exactly 3 or exactly...

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Hello I have not taken a subject in set theory, only in statistics. Maybe you guys can help me, I want to describe one of the events with the other, and I am wondering if one can do it. Lets say that we have 6 machines, of these 0, 1,2,3,4,5 or 6 of them can be in use. That is, we distingiuish...

Which of these to master-programs does in your opinion give best oppuotunities for employment, and which gives best oppurtunities for research-opportunities?

Thank you very much, I think I understand it much clearer now. Would it be fair to say then that a problem of solving an ODE will be reduced to numerical integration if one actually knew the exacat derivative at each point?, but it is not the same since we must approximate the derivative? I...

Hey I have taken a programming course. And I have learned about Simpson, Trapezoidal and the midpoint rule etc, I have programmed these. I have also implemented forward Euler, backward euler, Runge Kutta etc for solving ODE. I am wondering if there is any way to unify these two things, are...

Thanks, but how do you show that for any other partion it must lie between those two values? Maybe it is trivial, but I do not see it. I guess I can accept if for the function x, but I would also like to see it for a another random function. That is, can we prove that if: We have a given...

Hello, I have a question about the definition of the Riemann integral. I will explain my question with a problem. It says that the Riemann Integral on[a,b] exists, if for any epsilon this holds: |Riemannsum(f(x) on [a,b] )- Integralvalue|< epsilon, for any partion over [a,b] where the norm...