Inelastica.math.misc.box(mu1, mu2, grid, kT)

Window (box) function defined as \(n_F(\mu_2)-n_F(\mu_1)\)

Inelastica.math.misc.dist(x)

Euclidian norm \(||x||\) of a vector \(x\).

Inelastica.math.misc.fermi(mu, E, kT)

Fermi function \(n_F(\mu) = 1/[exp((E-\mu)/k_BT)+1]\).

Inelastica.math.misc.interpolate(nx, x, y)

Interpolate \(f(x)=y\) to find \(f(nx)\). Extrapolation allowed.

NB: Makes no checks for nx inside x region!!!

Parameters:

nxndarray

Abscissa values to interpolate the function.

xndarray

Known abscissa values.

yndarray

Known function values.

Returns:

nyndarray

Interpolated function values on nx.

Inelastica.math.misc.mysqrt(x)

Square root of matrix.

Inelastica.math.misc.outerAdd(*args)

Returns \(A_{ijk}=B_i+C_j+D_k\).

Inelastica.math.misc.trapez(x, f, equidistant=False)

Integration of vector f on grid x using the 3rd degree polynomial. The grid x does not have to be equidistant.

Parameters:

xndarray

fndarray

equidistantbool

False = 3rd degree polynomial method. True = Linear trapez method.

Returns:

rescomplex number

Result of the integration.