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-rw-r--r--fonts/newtx/doc/newtxdoc.tex6
1 files changed, 3 insertions, 3 deletions
diff --git a/fonts/newtx/doc/newtxdoc.tex b/fonts/newtx/doc/newtxdoc.tex
index 130853a121..5e10420792 100644
--- a/fonts/newtx/doc/newtxdoc.tex
+++ b/fonts/newtx/doc/newtxdoc.tex
@@ -541,7 +541,7 @@ In the original {\tt txfonts}, the \textsf{AMSadd} fonts \verb|msam*| and \verb|
\scalebox{5}{\hbox{\fAMSb\char65 }} {\scalefont{5}{$\mathbb{A}$}}\\
In both, there are areas of the glyphs where the narrow gaps between the outlines do not render well at normal text sizes, making for uneven gray blotched areas. In my opinion, neither is good for high quality work. Technically, both work work well with respect to \verb|hyperref| and the macros \verb|\bm|, \verb|\boldmath| and \verb|\boldsymbol|.
-The following describe a number of common scenarios relative to the AMS font symbols ans show how to minimize additional \textsc{Cost}.
+The following describe a number of common scenarios relative to the AMS font symbols and show how to minimize additional \textsc{Cost}.
\begin{itemize}
\item
\textbf{I need neither \textsf{AMSadd} nor \textsf{TXAMSadd}:}
@@ -584,11 +584,11 @@ Newtxmath now has three built-in blackboard bold alphabets, along with package o
\begin{itemize}
\item In the absence of one of the options {\tt varbb}, {\tt vvarbb}, and assuming you did not block loading of both \textsf{AMSadd} and \textsf{TXAMSadd}, \verb|\mathbb| will use the alphabet described in the preceding paragraphs, otherwise it will use the alphabet described in the following item.
\item
-The second possible alphabet may be specified by the option {\tt varbb}, looking like $\varmathbb{ABC...k}$. It does cooperate with the bolding macro \verb|\bm| and with \verb|hyperref| but, in my opinion, it has appearance problems.It has all uppercase letters, but its only lowercase glyph is $\varmathbb{k}$. The bold version is identical to the regular version.
+The second possible alphabet may be specified by the option {\tt varbb}, looking like $\varmathbb{ABC...k}$. It does cooperate with the bolding macro \verb|\bm| and with \verb|hyperref| but, in my opinion, it has appearance problems. It has all uppercase letters, but in versions of {\tt newtx} up to $1.640$, its only lowercase glyph is $\varmathbb{k}$. As of version $1.641$, there is a full lowercase plus \verb|\imath| and \verb|\jmath|. The bold version is identical to the regular version.
\item
The third possibility is specified by the option {\tt vvarbb}, looking like $\vvmathbb{ABC...Za...z0...9}$. It cooperates with the bolding macro \verb|\bm| and with \verb|hyperref| and, in my opinion , looks better than the other two. It is taken from the original STIX math fonts. There is a slightly heavier bold version.
\item No matter which alphabet option you chose, you may use symbols from of of the variant alphabets by means of the macros \verb|\vmathbb|, \verb|\vvmathbb|: e.g., \verb|\vmathbb{N}| gives $\vmathbb{N}$ and \verb|\vvmathbb{C}| gives $\vvmathbb{C}$. Note that for consistency with earlier usage in {\tt newtxmath}, \verb|\varmathbb| is a synonym for \verb|\vmathbb|.
-\item In each of the two variant alphabets, there are digits as well as dotlessi and dotlessj, all taken from the STIX Blackboard Bold alphabets.
+\item In each of the two variant alphabets, there are digits taken from the STIX Blackboard Bold alphabets, as well as {\tt dotlessi} and {\tt dotlessj}.
\item \textbf{Important note:} Under the option {\tt stix2}, there are still three blackboard fonts but the macro \verb|\vmathbb| now points to glyphs from {\tt DSSerif}, a serifed double-struck family that replaces the original variant that is still available under other options. With {\tt stix2}, the {\tt dotlessi} and {\tt dotlessj} glyphs from the {\tt DSSerif} font are available as \verb|$\imathbbs$| and \verb|$\jmathbbs$|, no matter which blackboard bold option you chose.
\end{itemize}
One interesting feature of the third Blackboard Bold alphabet is that it contains blackboard bold numbers, of which $0$ and $1$ will likely be the most useful, perhaps as operator names. I find $\vvmathbb{1}$=\verb|$\vvmathbb{1}$| useful in specifying an indicator, AKA characteristic function. Here are some examples that hold except with the {\tt stix2} option: