# Re: The possibility integration in Python without an equation, just an array-like file

On 16/05/14 16:01, Johannes Schneider wrote:

If you do not have a closed form for T(E) you cannot calculate the exact
value of I(V).

Anyway. Assuming T is integrable you can approximate I(V).

1. Way to do:
interpolate T(E) by a polynomial P and integrate P. For this you need
the equation (coefficients and exponents) of P. Integrating is easy
after that.

2. other way:
Use Stair-functions: you can approximate the Value of IV() by the sum
over T(E_i) * (E_{i+1} - E_i) s.t. E_0 = E_F-\frac{eV}{2} and E_n =
E_F+\frac{eV}{2}.



snip]

Or piecewise polynomials (splines).

Duncan

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