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Happy New Year (Equation)

Daniel Skoog 1771 Maple
December 31 2012
5

w+ln(abs(N)) = ln(abs(a*p^2*H+exp(ar)))+ln(abs(y))

w+ln(abs(N)) = ln(abs(a*p^2*H+exp(ar)))+ln(abs(y))

 (1)

w = solve(%, w);

w = ln(abs(a*p^2*H+exp(ar)))+ln(abs(y))-ln(abs(N))

 (2)

combine(%, ln)

w = ln(abs(a*p^2*H+exp(ar))*abs(y)/abs(N))

 (3)

`assuming`([exp(lhs(%)) = exp(rhs(%))], [positive])

exp(w) = (a*p^2*H+exp(ar))*y/N

 (4)

N*lhs(%) = N*rhs(%)

N*exp(w) = (a*p^2*H+exp(ar))*y

 (5)

expand(%)

N*exp(w) = H*a*p^2*y+y*exp(ar)

 (6)

op(1, rhs(%)) = lhs(%)-op(2, rhs(%))

H*a*p^2*y = N*exp(w)-y*exp(ar)

 (7)

sort(%)

H*a*p^2*y = N*exp(w)-y*exp(ar)

 (8)

subs(p^2 = pp, %)

H*a*pp*y = N*exp(w)-y*exp(ar)

 (9)

 

[ Inspired by the Happy New Year Equation: http://imgace.com/pic/tag/the-happy-new-year-equation/ ]

Download HappyNewYear.mw

Cheers.
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