Graceli - física matemática astronomia filosofia [384]

domingo, 27 de julho de 2014

S(x)=\int_0^x \sin(t^2)\,dt,\quad C(x)=\int_0^x \cos(t^2)\,dt.

/ d log Φ/ Φ [n...]

S(x)=\int_0^x \sin(t^2)\,dt=\sum_{n=0}^{\infin}(-1)^n\frac{x^{4n+3}}{(2n+1)!(4n+3)}

+ d log Φ/ Φ [n...]

C(x)=\int_0^x \cos(t^2)\,dt=\sum_{n=0}^{\infin}(-1)^n\frac{x^{4n+1}}{(2n)!(4n+1)}

+ d log Φ/ Φ [n...]

d log Φ/ Φ [n...]

dx = C'(t)dt = \cos(t^2) dt \,

d log Φ/ Φ [n...]

dy = S'(t)dt = \sin(t^2) dt \,

infinitésimo de fluxo por log.