MATHEMATICAL BELATED HOLIDAY GREETING

Given                                                                          2 m r [i cos r² – sin r²] = dx/dr

Separate variables                                                      2 m r dr [i cos r² – sin r²] = dx

Divide both sides by m                                                2 r dr [i cos r² – sin r²] = dx/m

Express each side as an integral                                 ∫ 2 r dr [i cos r² – sin r²] = ∫ dx/m

Integrate                                                                     cos r² + i sin r² + c₁ = x/m + c₂

Subtract c₂  from both sides                                        cos r² + i sin r² + c₁ – c₂= x/m

c₁ – c₂ = c² for some c                                                 cos r² + i sin r² + c² = x/m

Multiply both sides by m                                             m [cos r² + i sin r²] + m c²= x

E = m c²                                                                       m [cos r² + i sin r²] + E = x

Subtract E from both sides                                         m [cos r² + i sin r²] = x – E

De Moivre’s rule:  exp (ø i) = cos ø + i sin ø               m exp (r² i) = x – E

E (work) = force . distance                                         m exp (r² i) = x – F.s

F (force) = mass times acceleration                           m exp (r² i) = x – mas

r² = rr                                                                           m exp (rri) = x – mas

exp (a) = e^a                                                                  m e^rri = x – mas

(Apparently originated with Brett Stevens, “Seasonal Greeting,” in the New Scientist, 21-28 December 1991)