Recent content by boboYO

Really? I suppose physicists will generally have better programming skills. I can't think of anything else, but then again I don't do physics. Could you please elaborate?

I assume similar options are available for people with maths bachelors, as they have similar skills to physics bachelors? What skills do I need in addition to my maths bachelors to increase my chances of getting a job in business consulting?

I don't think the stabilizer group will be too useful here. G_s = g \in G such that gs=s. This statement of yours is wrong: "suppose every point in G has a fixed point. Then for every g \in G, gs=s \in S." you are getting your quantifiers mixed up. it should be "suppose every point in G...

Your statement 'Aut(G) always a subgroup of G' doesn't really make sense. Elements of Aut(G) are isomorphisms from G to G. So they aren't even the same type of object as elements of G. Do you mean to say that Aut(G) is always a group under composition? This is easy to prove as the composition of...

Because when talking about abstract groups "ab" always means "the law of composition applied to the pair of elements (a,b) ". When working in Z he uses the normal notation for multiplication because you're used to it.

I see, so 2 aggregate functions f(x,y) and g(x,y) are equivalent if there exists a 'translation' t such that f(x,y)= t^{-1} \circ g( tx, ty) product is equivalent to addition by setting t=log max is equivalent to addition by setting t: x \mapsto x^\infty etc and we are trying to...

could you be more precise with what you mean by 'maps to addition'?

Every function on the set of n-element subsets of X is an aggregation function on X^n in the obvious way, right? Which would imply there's too many of them to characterize easily. edit: oops, I forgot about associativity.

wolframalpha.com type in 'derivative of cos(x)^2'

My favorite pencil is the http://davesmechanicalpencils.blogspot.com/2009/07/pentel-smash-q1005-mechanical-pencil.html" . Looks good, is very comfortable, just the right weight, good grip. The http://davesmechanicalpencils.blogspot.com/2009/07/pentel-smash-q1005-mechanical-pencil.html" is good...

What's wrong with the one from Z->Z_n , n not prime?

you probably already know this, but the 2nd equation doesn't imply the first because sup(all that stuff) could be smaller than \left| \frac{x_n-x_m}{y_n-y_m} \right| The most obvious path is to prove that \sup_{k>m}\left|y_n\frac{\Delta x_k}{\Delta y_k} \right| \geq \left| \sum_{k=m+1}^{n}...

write out some terms (say the first 3) instead of just ∑... it should become clear.

the distributive law holds for matrices; C(A+B)=CA+CB so to expand (A+B)(C+D), first you expand the left bracket: A(C+D)+B(C+D) and then you do the right brackets similarly.

yes.