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homogenous means a few things

Q(?,?)

if f(tx,ty) = t*f(x,y) its homogenous

hmm, that kind of reminds me of the definition of an odd function .... i wonder if they are related

Q(A,K,L) ?

looks like expansion of length due to heat

and im just going on an idea here, not really sure if itll pan out

oou,

if A not=0 i wonder if another route would have been easier ...

any idea if im even on teh right track with this idea?

how come \(\large Q^{ta}\) ?

say ta=3
Q = N^(1/3)
[Q = N^(1/3)]^3
Q^3 = N^(3/3)
Q^3 = N

oh, i see :)

but i wonder if it would be prudent to separate t and a in that .... hard to tell

aahh,

but from what you have there, what are you to factor out to confirm if it's homogeneous or not? :/

where are the numbers ; (

im trying to recall ways that logs might be useful to us .... since ive got t stuck in an exponent

why did t go into the exponent in the first place?

interesting :)

but then again, Q would be variable as well since it is defined by the inputs ....

maybe Q, A, K, and L are the variables?

which is what unkle alluded to at the start :)

lower case are scalars

what class is this for?

computational mathematics

... never heard of it :/
what have you been learning in prior chapters and do they relate to this?

correct

this is some sort of calculus, right?

how about if you end up with t^a?

t ?

if "a" was one of the variables to begin with ... im not sure.

http://www.sosmath.com/diffeq/first/homogeneous/homogeneous.html

that does help, yes

ok so usually, the function would have 2 variables right?

at least

is this correct?
\(\large logAB^c=clogAB \) ?

if A is a base, then yes

no, A is not a base :/ and oh, looks like you solved it and it appears homogeneous :D

that google book helped me to get the variables right :)

but i might have pulled out the wrong t exponent

I'd have to purchase it though :(

t^(1/a) pulls out, not t^a
t*t^(1/a) = t^(1+1/a)
=t^((a+1)/a)
typoes it :)

yh i just noticed :) thanks for pointing it out xD seems like an interesting topic though

so it doesn't display a constant scale.. :/

recheck my math to make sure theres not a mistake :)

yes i'm trying to solve it myself on paper right now :) thanks again though xD

good luck, thats about all i can do for it ;)