scipy tutorial - Baustatik-Info-Server

SciPy Reference Guide, Release 0.8.dev
Notes:
sc_diff(cs_diff(x,a,b),b,a) == x For even len(x), the Nyquist mode of x is taken zero.
ss_diff(x, a, b, period=None, _cache={})
ss_diff(x, a, b, period=2*pi) -> y
Return (a,b)-sinh/sinh pseudo-derivative of a periodic sequence x.
If x_j and y_j are Fourier coefficients of periodic functions x and y, respectively, then
Input:
y_j = sinh(j*a*2*pi/period)/sinh(j*b*2*pi/period) * x_j y_0 = a/b * x_0
a,b
Defines the parameters of the sinh/sinh pseudo-differential operator.
period
The period of the sequence x. Default is 2*pi.
Notes:
ss_diff(ss_diff(x,a,b),b,a) == x
cc_diff(x, a, b, period=None, _cache={})
cc_diff(x, a, b, period=2*pi) -> y
Return (a,b)-cosh/cosh pseudo-derivative of a periodic sequence x.
If x_j and y_j are Fourier coefficients of periodic functions x and y, respectively, then
Input:
y_j = cosh(j*a*2*pi/period)/cosh(j*b*2*pi/period) * x_j
a,b
Optional input:
Defines the parameters of the sinh/sinh pseudo-differential operator.
period
The period of the sequence x. Default is 2*pi.
Notes:
cc_diff(cc_diff(x,a,b),b,a) == x
shift(x, a, period=None, _cache={})
shift(x, a, period=2*pi) -> y
Shift periodic sequence x by a: y(u) = x(u+a).
If x_j and y_j are Fourier coefficients of periodic functions x and y, respectively, then
y_j = exp(j*a*2*pi/period*sqrt(-1)) * x_f
Optional input:
period
The period of the sequences x and y. Default period is 2*pi.
3.3. Fourier transforms (scipy.fftpack) 173