Release v0.17.1 (#110)

* chore: bump version refs to `0.17.1`

* docs: fix some typos

CITATION.cff

@@ -24,6 +24,6 @@ keywords:
   - real numbers
 
 license: MPL-2.0
-version: 0.17.0
-date-released: 2024-07-07
+version: 0.17.1
+date-released: 2024-07-08
 

docs/sources/contributing.rst

@@ -160,7 +160,7 @@ The CI/CD pipelines are defined in the `CI YML <https://github.com/sr-murthy/con
 Versioning and Releases :fas:`upload`
 =====================================
 
-The `PyPI package <https://pypi.org/project/continuedfractions/>`_ is currently at version ``0.17.0`` - the goal is to use `semantic versioning <https://semver.org/>`_ consistently for all future releases, but some earlier releases do not comply with strict semantic versioning.
+The `PyPI package <https://pypi.org/project/continuedfractions/>`_ is currently at version ``0.17.1`` - the goal is to use `semantic versioning <https://semver.org/>`_ consistently for all future releases, but some earlier releases do not comply with strict semantic versioning.
 
 There is currently no dedicated pipeline for releases - both `GitHub releases <https://github.com/sr-murthy/continuedfractions/releases>`_ and `PyPI packages <https://pypi.org/project/continuedfractions>`_ are published manually, but both have the same version tag.
 

docs/sources/exploring-continued-fractions.rst

@@ -236,7 +236,7 @@ The even- and odd-indexed convergents behave differently: the even-indexed conve
 
 .. math::
 
-   \frac{p_k}{q_k} - \frac{p_{k - 1}}{q_{k - 1}} = \frac{(-1)^k}{q_kq_{k - 1}}, \hskip{3em} k \geq 1
+   \frac{p_k}{q_k} - \frac{p_{k - 1}}{q_{k - 1}} = \frac{(-1)^{k + 1}}{q_kq_{k - 1}}, \hskip{3em} k \geq 1
 
 The :py:class:`~continuedfractions.continuedfraction.ContinuedFraction` class provides properties for generating even-indexed convergents (:py:attr:`~continuedfractions.continuedfraction.ContinuedFraction.even_convergents`) and odd-indexed convergents (:py:attr:`~continuedfractions.continuedfraction.ContinuedFraction.odd_convergents`), as illustrated below.
 
@@ -385,13 +385,15 @@ This can be illustrated again using the continued fraction for :math:`-\frac{415
 Remainders
 ==========
 
-The :math:`k`-th remainder :math:`R_k` of a (simple) continued fraction :math:`[a_0; a_1,\ldots]` is the continued fraction :math:`[a_k;a_{k + 1},\ldots]`, obtained from the original by "removing" the elements of the :math:`(k - 1)`-st convergent :math:`C_{k - 1} := [a_0;a_1,\ldots,a_{k - 1}]`.
+The :math:`k`-th remainder :math:`R_k` of a (simple) continued fraction :math:`[a_0; a_1,\ldots]` of a real number :math:`x` is the (simple) continued fraction :math:`[a_k;a_{k + 1},\ldots]`, obtained from the original by "removing" the elements of the :math:`(k - 1)`-st convergent :math:`C_{k - 1} := [a_0;a_1,\ldots,a_{k - 1}]`.
 
 .. math::
 
    R_k = a_k + \cfrac{1}{a_{k + 1} + \cfrac{1}{a_{k + 2} \ddots }}
 
-If :math:`[a_0; a_1,\ldots]` is of finite order then each :math:`R_k` is a rational number. The remainders of :py:class:`~continuedfractions.continuedfraction.ContinuedFraction` instances can be obtained via the :py:meth:`~continuedfractions.continuedfraction.ContinuedFraction.remainder` method, which takes a non-negative integer not exceeding the order of the original.
+where :math:`R_0 = x`.
+
+If :math:`[a_0; a_1,\ldots]` is of finite order :math:`n` then :math:`R_k` is of order :math:`(n - k)`. The remainders of :py:class:`~continuedfractions.continuedfraction.ContinuedFraction` instances can be obtained via the :py:meth:`~continuedfractions.continuedfraction.ContinuedFraction.remainder` method, which takes a non-negative integer not exceeding the order of the original.
 
 .. code:: python
 

src/continuedfractions/version.py

@@ -1 +1 @@
-__version__ = "0.17.0"
+__version__ = "0.17.1"