- #1
cvanloon
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So I'm computing a second order Taylor series expansion on a function that has multiple variables. So far I have this
I(x,y,t)=dI/dx(change in x)+dI/dy(change in y)+dI/dt(change in t)+2nd order terms
Would it still be a better approximation than just he first order if I included some second order terms and not others or no? To be more clear I would use something like this :
I(x,y,t)=First Order Terms+Ixx(dx^2)+Iyy(dy^2)
If this is better than just the first order terms, do you have an explanation as to why it is theoretically? Thanks,
Chris
I(x,y,t)=dI/dx(change in x)+dI/dy(change in y)+dI/dt(change in t)+2nd order terms
Would it still be a better approximation than just he first order if I included some second order terms and not others or no? To be more clear I would use something like this :
I(x,y,t)=First Order Terms+Ixx(dx^2)+Iyy(dy^2)
If this is better than just the first order terms, do you have an explanation as to why it is theoretically? Thanks,
Chris