SOLVED
With the assumption f(x)\in L^1(\mathbb{R})\cap L^2(\mathbb{R}) (in a Lebesque sense) I'm trying to include a short proof of Plancherel's identity into my dissertation but am having trouble justifying the change of integration at the end of the following line...
I am having trouble with the following proof of Jensen's Inequality. I'll post the statement of the theorem, it's proof, and where I'm having problems:
Let X be a random variable
with E(X) < \infty , and let f : \mathbb{R}\rightarrow\mathbb{R} be a convex function. Then...
Heh!...yeah I hear you Hurkyl! :smile:
If I tell anyone new back home that I'm studying maths they never fail to hit me with some pointless sum they can't add up for themselves [SIZE="1"](ok sometimes they fail at doing this but not very often)
Though getting back to the op for all practical...
I think mental arithmetic a skill well worth training :smile:
Don't take this as condescending, but the same advice as I gave to my cousin last year as I was helping her with maths I give to you...spent some quality time reciting you're multiplication tables because though its a pain in the...
What maths based facts do we know about Chuck Norris? Here are a few that I know of:
1) Chuck Norris doesn't do Lagrange multipliers...for him there are no constraints
2) Chuck Norris can divide by zero
3) Chuck Norris is the (n+1)th root of all degree n polynomials in x
4) Chuck Norris...
aha!...cheers guys! You're right, I was considering f acting on a vector instead of considering that f by itself is an mxn matrix :redface: :smile:
Things make sense again!
Sorry if this is the wrong place for my question, I'm having difficulty on a conceptual level getting my head round inverse functions and compositions of functions in R^n. I'm failing to understand my lecture notes as a result.
Suppose I have some function with domain R^n which maps to R^m...
Thanks for the reply...I was just about to edit the above post to say I'd figured out what was going on...no function actually makes use of setSurfArea() or setVolume() :redface: I'm a fool!:smile:
Now that I know why I'm having that problem...I can actually do away with those two functions...
arrggghhh! :cry:
I've written up the exercise including cylinderType but I'm having major problems assigning a value to surfaceArea and volume...I know exactly where things are going wrong but for the life in me can't see why there is a problem.
running calcSurfArea and calcVolume work...
Hmm...I cannot copy the line numbers from my text file (using gedit for linux) but it throws that error on the following line (in red)
private:
double centre[2];
Though I can now see the problem with that line you posted :smile:
it ends with $ so I think it will be the bourne shell based off what you have said.
Thanks for all the advice, I will certainly be doing some messing later :smile:
Thanks for the reply. the purpose behind that code was to try and debug...it is a relic I would have deleted if the program worked...Though commenting out that line gets it to compile it doesn't seem to be putting the correct values into centre[0] and centre[1]...it has them both set to 0