I have looked at the formula listed, but i don't know quite how to use it...
Suppose i have an inertia tensor in the center of mass like this
\left(\begin{array}{c c c} 1&0&0\\0&1&0\\0&0&1\end{array}\right)
The mass m is 2 kg, and the distance vector R is
\left(\begin{array}{c}...
Homework Statement
I have a cylinder, for which i want to find the inertia tensor.
http://www.mip.sdu.dk/~pino/inertiacyl.JPG
Where the rotational axis are either the x (red) or y (green).
Homework Equations
I know that the inertia tensor for a cylinder is of the form...
I have a cylinder, for which i want to find the inertia tensor.
http://www.mip.sdu.dk/~pino/inertiacyl.JPG
Where the rotational axis are either the x (red) or y (green).
I know that the inertia tensor for a cylinder is of the form
http://www.mip.sdu.dk/~pino/inertiamoment-cylinder.jpg...
Oh, ok, I didnt make a clear distinction between a convex and a concave function.
I didnt have a clear definition of convex and concave, so it makes more sense now, given your definition, and concave is then the opposite, and so makes (1) true.
thanks!
I would like to be sure in the following, not prove it, just have it confirmed...
If a function f is convex, then it has
1.) only one maximum and no minimum
2.) only one minimum and no maximum
infinity and -infinity are not included.
You have the denominator
4k^2-1 = (2k+1)(2k-1)
therefore i believe you should get
\frac{1}{4k^2-1} = \frac{1}{(2k+1)}+\frac{1}{(2k-1)}
Then you know that:
\sum_{k=1}^n \frac{1}{4k^2-1} =
\sum_{k=1}^n \frac{1}{(2k+1)} + \sum_{k=1}^n \frac{1}{(2k-1)}
You should then try to find expressions...
If I understand your assignment correctly, you already have the formulas for the two expressions
\sum_{k=1}^n k^2
\sum_{k=1}^nk
So just put a "+" between them :-) and simplify them even more if possible...
But being foreign and all, i could have misinterpreted what you wrote, so please...
You have seen the last line of the above reply right?
So you have:
\sum_{k=1}^nk\left(k+1\right)=\sum_{k=1}^n k^2+\sum_{k=1}^nk
that should take you off
I have two excercises which have been causing me to tear my hair off for some time now.
(a) the power method to find largest eigenvalue of A is defined as x(k+1) = Ax(k)
(b) the inverse power method is to solve Ax(k+1) = x(k) to find smallest eigenvalue of A
(c) the smallest/largest...
Hello there!
yet another proof, that i need help on
I am supposed to prove that the following statement holds for the secant method
dk+1/ek -> -1 for k->Infinity
where
dk+1 is the next change and ek is the error.
I have this idea, but i want to hear whether its a valid proof.
i use...