mathsq

Math sequence. Useful for calculations.

Note

This uses basic math and is incompatible with array frameworks like NumPy. We strive to keep it light.

from mathsq import MathSQ

array = MathSQ(
  a1=10,  # first item
  d=2,    # common difference
  ln=10   # length ($n$ sequence)
)

This yields a sequence:

$$ ( a_n ): 10, 12, 14, \ldots $$

We can also create a MathSQ from specifying the $n$-th element.

array = MathSQ.from_n_assignment(
  n=10,
  value=100,
  d=-1
)

Set array length

This returns the array itself.

>>> array = array.setln(100)

Get $n$-th element

Note

Out-of-bounds are not handled.

>>> array.n(5)

Get $n$ from value

Note

Out-of-index is not handled.

>>> array.n_of(10)

Get middle $n$

Note

May return a float.

>>> array.mid_n()

Get middle value

Note

Out-of-bounds are not handled.

>>> array.mid()
>>> # ...or
>>> array.M

Has middle?

Returns True if the middle index exists.

>>> array.has_mid()

Sum

>>> array.sum()
>>> # ...or
>>> array.S

Basic manipulations

Note

Implementation not fully covered.

>>> array1 = array0 + 10 # array +/- float
>>> array1 -= array0 # array +/- array
>>> array1.a1
10

>>> array1 * 10

Where 0 is at

Find the closest $n$ index to 0.

Restrictions:

$$ a_1 > 0, d < 0 $$

or

$$ a_1 < 0, d > 0 $$

or

$$ a_1 = 0 $$

>>> array0.where0()