if anyone knows what i am talking about say "I". i'm looking for free energy interaction coefficients... trying to expand gamma2(infinite)*x2*exp(J1(2)*x2+J2(2)x2^2+...+Ji(2)x2^i) that's kind of hard to interpret, but i can scan in the equation if anyone might have a remote idea and no this isn't asking for HW help... this is just for fun forgot to add gamma2(infinite) is a constant.... expand about point(x2=0)

actually i figured it out... keep gamma2(inf) and x2 out of the expansion expand exp(x) as 1 + x + x^2/2 + x^3/6 + .... put the Ji(n) terms in front of it.. multiply the x2 in multiply the gamma term in.. BAM! thanks for the help

i'm actually studying for a thermodynamcis final... i had diff eq like 3 years ago and haven't used any of it since... now every time i turn around it's like "taylor expand this..." "taylor expand that" i can't wait until thermo is over

It's differential eqations - as he said before. A lot of fluid and thermodynamics stuff uses eqations and operations like that. Oh, the work I look forward to....

basically it tells you how a function approaches a point. it's an infinite series expansion that really has no end, but you can estimate the error depending on how many terms you "expand" it's a special type of power series, but it has many applications in thermodynamics, diffusion kinetics and a million others i'm sure.. but my major use is thermo/diffusion