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Kernel: Python 3

`weight.multiply`

This function is overloaded, it supports these signatures:

weight.multiply(w)
The product of two weights.
weight.multiply(num)
The repeated multiplication (power) of a weight with itself. Exponent -1 denotes the infinity.
weight.multiply((min, max))
The sum of repeated multiplications of an expression: w.multiply((2,4)) = $w^2 + w^3 + w^4$ . When min = -1, it denotes 0, when max = -1, it denotes the infinity.

Preconditions:

Examples

In [1]:

import vcsn
weight = vcsn.context('law_char, q').weight

Instead of a.multiply(b), you may write a * b.

In [2]:

weight('1/2') * weight('3')

Out[2]:

$\frac{3}{2}$

In [3]:

weight('1/2').multiply(weight('3'))

Out[3]:

$\frac{3}{2}$

Instead of w.multiply(3), you may write w ** 3.

In [4]:

half = weight('1/2')
half ** 3

Out[4]:

$\frac{1}{8}$

In [5]:

half ** 0

Out[5]:

$1$

Use the exponent -1 to mean infinity. Alternatively, you may invoke w.star instead of w ** -1.

In [6]:

half ** -1

Out[6]:

$2$

In [7]:

half.star()

Out[7]:

$2$

Instead of w.multiply((2, 4)), you may write w ** (2, 4). Again, use exponent max = -1 to denotes infinity.

In [8]:

half ** (2, 2)

Out[8]:

$\frac{1}{4}$

In [9]:

half ** (2, 4)

Out[9]:

$\frac{7}{16}$

In [10]:

half ** 2 + half ** 3 + half ** 4

Out[10]:

$\frac{7}{16}$

In [11]:

half ** (0, 2)

Out[11]:

$\frac{7}{4}$

In [12]:

half ** (1, -1)

Out[12]:

$1$