unseries 0.1.0

Scope

For now the following fuctions are available:

• series addition and subtraction

• comparision (greater than, less than)

• series multiplication

• series inversion, i.e. Z(g) ➝ 1/Z(g)

• series division (in the assumption that all powers are non-negative)

• exponentiation

• analitic differentiation

• substitution, i.e. calculation of a series Z(g) at the point g₀ to a number with uncertainty

• approximation

• some technical functions: pprint, save [to file],

Example

Assume two series:

Z₁(g) = 1.00(30) + 2.0000(30) g

Z₂(g) = -1.0(4) - 2.000(4) g + 999.00(10) g²

Then Z₁+Z₂ = 0.0(5) + 0.000(5) g + 999.00(10) g²

from unseries import Series
z1 = Series(2, {0: ufloat(1, 0.3), 1: ufloat(2, .003)})
z2 = Series(3, {0: ufloat(-1, 0.4), 1: ufloat(-2, .004), 2: ufloat(999, .1)})
print z1 + z2