minor doc fixes

doc/.gitignore

@@ -1 +1,2 @@
 *.html
+*.pdf

doc/api.rst

@@ -3,7 +3,7 @@
 Library Usage
 =============
 The public API is accessible through the :class:`Pvss` class. Each instance stores the public
-state of a complete ``PVSS`` :ref:`workflow <workflow>`. Messages created in once instance must be transferred
+state of a complete ``PVSS`` :ref:`workflow <workflow>`. Messages created in one instance must be transferred
 somehow (network, git repo, etc.) and be imported into the other instances.
 
 .. _lib.example:

doc/math/notation.rst

@@ -106,7 +106,7 @@ Notation used in formulas
    * - :math:`j`
      - :math:`j`
      - :math:`j`
-     - Indices for coefficients, :math:`0 \leq j \lt t`
+     - Indices for coefficients, :math:`0 \leq j < t`
 
    * - :math:`k_…`
      - :math:`w`

doc/usecases.rst

@@ -31,7 +31,7 @@ For the other use cases, there is no easy solution. But the next best thing is P
 
 When generating a new private key, PVSS is used to create a random secret. The private key is
 encrypted symmetrically with this secret, e.g. with AES-GCM. The random secret is split among
-:math:`n` semi-trusted users. It is defined that any :math:`1 \lt t \lt n` of those users can
+:math:`n` semi-trusted users. It is defined that any :math:`1 < t < n` of those users can
 cooperate to reassemble the secret.
 
 Once access to the private key is needed, a special receiver user is created. :math:`t` of the
@@ -48,5 +48,5 @@ create and split a new random secret which is used to symmetrically encrypt (e.g
 backupped data.  The encrypted data (along with the PVSS files) is then stored with high
 durability in mind.
 
-For restoring the data, any :math:`1 \lt t \lt n` of the users cooperate to reassemble the
+For restoring the data, any :math:`1 < t < n` of the users cooperate to reassemble the
 secret key.