Mathematics Prelims

July 14, 2008

A Note on Notation

Filed under: About — cjohnson @ 1:06 pm

For the moment I’m just going to be writing straight up LaTeX in my posts because I don’t want to take the time to generate images of everything.  (If you know of an easy solution though, let me know!)  There are a few custom aliases I use for things that I write over and over again, so here they are.

\def\R{\mathbb{R}}      % The reals
\def\N{\mathbb{N}}      % The naturals
\def\Q{\mathbb{Q}}      % The rationals
\def\C{\mathbb{C}}      % The complex plane
\def\M{\mathcal{M}}     % Measurable sets
\def\B{\mathcal{B}}     % Borel sets
\def\O{\mathcal{O}}     % Open sets
\def\F{\mathcal{F}}     % A sigma algebra F
\def\Fx{\mathcal{F}_X}  % Sigma algebra F generated by random var. X
\def\A{\mathscr{A}}     % Script A
\def\W{\Omega}          % Capital omega
\def\w{\omega}          % Lowercase omega
\def\L{\mathscr{L}}     % Lebesgue-integrable functions
\def\esssup{\text{ess sup}}  % Essential supremum
\def\iff{\Leftrightarrow}    % If and only if
\def\implies{\Rightarrow}    % Implies
\def\e{\epsilon}             % Epsilon
\def\d{\delta}               % Delta

Update Thanks for all the comments about how to put LaTeX code in WordPress!  I’ll fix the existing posts this morning and will be sure to use that in upcoming posts too.

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9 Comments »

  1. WordPress supports latex, for instance e^{i\pi}=-1. All you do is that you put the word ‘latex’ immediately after the first dollar sign. Edit this post to see the example.

    Comment by Charles — July 15, 2008 @ 12:33 am | Reply

  2. You’re on WordPress. Just wrap it in $ latex (drop the space) to begin and $ to end. For example:

    \mathbb{R}

    Comment by John Armstrong — July 15, 2008 @ 1:20 am | Reply

  3. http://thewe.net/tex/
    the tool is helpful to see the LaTex format online,but these fomulas must be put between [; and ;]

    Comment by BearXu — July 15, 2008 @ 1:45 am | Reply

  4. Solution to your \LaTeX problem. 🙂

    Comment by A. G. — July 15, 2008 @ 2:09 am | Reply

  5. Your list would look
    \mathbb{R}\qquad The reals
    \mathbb{N}\qquad The naturals
    \mathbb{Q}\qquad The rationals
    \mathbb{C}\qquad The complex plane
    \mathcal{M}\qquad Measurable sets
    \mathcal{B}\qquad Borel sets
    \mathcal{O}\qquad Open sets
    \mathcal{F}\qquad A sigma algebra F
    \mathcal{F}_X\qquad Sigma algebra F generated by random var. X
    \mathscr{A}\qquad Script A
    \Omega\qquad Capital omega
    \omega\qquad Lowercase omega
    \mathscr{L}\qquad Lebesgue-integrable functions
    \text{ess sup}\qquad Essential supremum
    \Leftrightarrow\qquad If and only if
    \Rightarrow\qquad Implies
    \epsilon\qquad Epsilon
    \delta\qquad Delta
    if you don’t use \def
    Instead of
    \def\R{\mathbb{R}} % The reals
    I’ve written
    latex \mathbb{R}\qquad The reals
    with an opening $ and a closing $ before latex and \qquad

    Comment by Américo Tavares — July 15, 2008 @ 7:43 am | Reply

  6. I’ve written
    latex \mathbb{R}\qquad The reals
    with an opening $ and a closing $ before latex and after \qquad

    Comment by Américo Tavares — July 15, 2008 @ 7:50 am | Reply

  7. To insert space you could use “latex \qquad” (with $ before and after it). I’ve corrected to
    \mathbb{R} \qquad The reals
    \mathbb{N} \qquad The naturals

    To display greater symbols in sums, fractions, etc. you can use “\displaystyle”

    \displaystyle\sum_{n=1}^{\infty}|a_nb_n|=\displaystyle\sum_{n=1}^{\infty}\dfrac{|x_ny_n|}{\displaystyle\sum_{n=1}^{\infty}\left(|x_n|^p\right)^{1/p}+\displaystyle\sum_{n=1}^{\infty}\left(|y_n|^q\right)^{1/q}}\le 1

    Comment by Américo Tavares — July 15, 2008 @ 2:37 pm | Reply

  8. Ah, thank you very much for the hint! I was wondering if there was some way to do that earlier!

    Comment by cjohnson — July 15, 2008 @ 2:41 pm | Reply

  9. To insert space you could use “latex \qquad” (with $ before and after it). I’ve corrected to
    \mathbb{R} \qquad The reals
    \mathbb{N} \qquad The naturals

    To display greater symbols in sums, fractions, etc. you can use “\displaystyle”

    \displaystyle\sum_{n=1}^{\infty}|a_nb_n|=\displaystyle\sum_{n=1}^{\infty}\dfrac{|x_ny_n|}{\left(\displaystyle\sum_{n=1}^{\infty}|x_n|^p\right)^{1/p}+\left(\displaystyle\sum_{n=1}^{\infty}|y_n|^q\right)^{1/q}}\le 1

    Comment by Américo Tavares — July 15, 2008 @ 2:50 pm | Reply


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