Recent content by daveronan

Hi TheOldHag, First of, thanks for getting back to me. I'm comparing audio features (MFCCs), so it's possible for me to get vectors with negative values. Thanks for your answer. You can't beat clarification! :)

Just for clarification... If I take the cosine similarity of two vectors and i get an answer of 1, then bother vectors are equal and the same. If I do the same again with another two vectors and get an answer of 0, then the vectors are at an angle of 90 degrees to each other and...

It's ok, I think I've found what I'm looking for. http://www.utdallas.edu/~herve/abdi-WireCS-Centroid-2009.pdf

I'm essentially looking a for a vector that would give a good indication of where all the other vectors are clustered together. I hope to add new vectors to this group based on cosine similarity of the new vector and the mean value.

If I have a collection of vectors in very high euclidean space(n=72). How do I find the mean value of all the vectors? Maybe I'm using the incorrect terminology. Maybe I want to find the centroid of where all these vectors are?? I'm working on a machine learning algorithm. Any help would be...

Wait, the penny dropped. The answer is z. You multiply across by -(w+z) :) Thanks for all your help.!

I've done that, but it still brings me to this.

After l'Hopital I'm getting lim w → ∞ ( -z/(w+z) + ln(1 + z/w)) This doesn't seem to help, not unless I'm doing something stupid.

lim w→∞ w.ln(1/w*(w+z))

I think I may have forgot the chain rule...

w/(1 + z/w) + 1/ln(1 +z/w)

I've tried l'Hopitals rule, but I don't think I'm any closer.

Homework Statement Find the limit of the following function lim w→∞ (1 + z/w)w Homework Equations The Attempt at a Solution lim w→∞ w ln(1 + z/w) Not sure where to go next... Thanks