Notes

Chapter 4: Systems Based on Numbers

Section 6: Mathematical Functions


Differential equations [for sine sums]

The function Sin[x] + Sin[Sqrt[2] x] can be obtained as the solution of the differential equation y''[x] + 2 y[x] - Sin[x] == 0 with the initial conditions y[0] == 0, y'[0] == 2.


From Stephen Wolfram: A New Kind of Science [citation]