X-like symbol for Cartesian Product (Blyth)

[Math Amateur]

In T. S. Blyth's book on Module Theory, the author uses a large 'times' symbol (similar to a capital X) for the Cartesian Product as seen in the text below (taken from Blyth page 58)
View attachment 3458Can someone help me with the Latex code for such a symbol?Peter

 

[Jameson]

Hmm, I've been reading up on this for a little bit now and it might be that this isn't possible with the normal AMS package.

There is a \bigotimes command that works with Mathjax but \bigtimes doesn't.

\(\displaystyle \bigotimes\)

Here is a SE post about this topic. Maybe someone else can find a solution. :)

 

[Math Amateur]

Hmm, I've been reading up on this for a little bit now and it might be that this isn't possible with the normal AMS package.

There is a \bigotimes command that works with Mathjax but \bigtimes doesn't.

\(\displaystyle \bigotimes\)

Here is a SE post about this topic. Maybe someone else can find a solution. :)

Thanks Jameson ... yes, I experimented with \bigtimes as well ...

Pity that there appears to be no solution to this ...

Peter

 

[Opalg]

Using MathJax, the best I can do is \(\displaystyle \mathop{\vcenter{\huge\times}}_{i=1}^n x_i\). If you are using a complete implementation of LaTeX, I found a useful post here showing how to use a Maltese cross as a large operator symbol. I adapted that to use with a large sansserif capital X, and I found that this works very well. The code

\documentclass{article}
\begin{document}
\newcommand{\xprod}{%
  \mathop{ %
    \mathchoice{\dobigx\huge}
               {\dobigx\Large}
               {\dobigx\normalsize}
               {\dobigx\small}
    }
}
\newcommand{\dobigx}[1]{%
  \vcenter{\kern.2ex\hbox{\sffamily#1X}\kern.2ex}}
Here it is in text, with the usual product symbol for comparison: $\xprod_{i=1}^n x_i$, $\prod_{i=1}^n x_i$. In display style, it looks like
\[
\xprod_{i=1}^n x_i \qquad \prod_{i=1}^n x_i
\]
\end{document}

produced this output:

View attachment 3465

In practice, I think it is much better to stick with the usual product symbol \(\displaystyle \prod.\)

 

[alphy]

, the symbol used by Blyth for the Cartesian Product is not a standard mathematical symbol and does not have a specific name. However, it is commonly referred to as the "X-like symbol" or the "large times symbol." In Latex, you can use the command \bigtimes or \times with \mathlarger to create a similar symbol. An example code would be \mathlarger{\bigtimes}. I hope this helps.