diff --git a/docs/source/theory/intro.rst b/docs/source/theory/intro.rst
index 241914f3..f06e10db 100644
--- a/docs/source/theory/intro.rst
+++ b/docs/source/theory/intro.rst
@@ -118,7 +118,7 @@ The reasons to chose such basis are:
 
 .. note::
 
-   :math:`F_1` and :math:`2xg_5` are also provided as they are treated as a derived quantity, like
+   :math:`2xF_1` and :math:`2xg_5` are also provided as they are treated as a derived quantity, like
    the cross sections in the following section.
 
 Cross sections
diff --git a/src/yadism/esf/exs.py b/src/yadism/esf/exs.py
index 8dd50f4c..6da78b3c 100644
--- a/src/yadism/esf/exs.py
+++ b/src/yadism/esf/exs.py
@@ -9,7 +9,7 @@
 
 
 def xs_coeffs_polarized(kind):
-    """Compute coefficients in the definition of a polarized given cross section.
+    """Compute coefficients in the definition of a given polarized cross section.
 
     Parameters
     ----------
@@ -29,7 +29,7 @@ def xs_coeffs_polarized(kind):
 
 
 def xs_coeffs_unpolarized(kind, y, x=None, Q2=None, params=None):
-    """Compute coefficients in the definition of a unpolarized given cross section.
+    """Compute coefficients in the definition of a given unpolarized cross section.
 
     Parameters
     ----------