LaTeX \newcommand for reporting statistics available? - latex

I am writing a scientific paper with LaTeX. In this paper I report outcomes of several statistical analyses. I am tired of making the reporting including all decimals and formatting consistent across the paper. I want to generate a \newcommand that delivers a more consistent reporting across the paper.
To be more precise let me give you the following example:
In the paper there is the sentence: "X and Y are correlated ($\rho$= .8, $p$= .023)."
I want to create a command that helps me making the reporting of the contents of the brackets more consistent. I imagine something like:
"X and Y are correlated \stats[.8][.023]." That delivers a clean output.
Since I am not too familiar with the \newcommand command, I was wondering whether there exists already a package or solution for this? If not, is there a way I can code this myself?

You could create your own macro like this:
\documentclass{article}
\newcommand{\stats}[2]{($\rho= #1$, $p= #2$)}
\begin{document}
\stats{.8}{.023}
\end{document}

Related

Can I view equations changing in real time while entering latex into Wolfram like you can in Symbolab?

I'm getting use to using Latex and I still frequently make typos while writing latex into wolframalpha's math solver. Is there an option to see the equation I'm writing in real time like in Symbolab?
Thanks in advance,
Parker

Generating LaTeX Server Side

I'm trying to build a service that accepts some string with LaTeX formatting and then returns a string with the LaTeX bits as pngs, or whatever else.
So, the idea is:
client sends a request containing: the point is that $sum_{n=1}^5 f(x)$ is a good estimate
server sends back the string: the point is that FORMULAS_HERE is a good estimate
I really have no idea where to begin getting the LaTeX converted. Naively, I assume I would just parse out the LaTeX bits and then do something to get a png/jpeg/etc... and then insert that into the response.
Googling around really reveals minimal information.
Currently, my simple server is built on node, but that's not really important. I can change languages if there's some magic solution out there. I honestly wish I could magically transform LaTeX into unicode and have it be perfectly seamless.
Question: How do I handle LaTeX on the server side?
- The goal is to then spit it back to the client so the text can be inlined relatively naturally (i.e. I could text my buddy Hey, what if $\chi(n)$ was considered independently? and it would be received formatted on the other end without begin a weird big picture blob).
Any advice on just a direction or set of packages/technologies/etc.. would be useful here.
Prepare your latex document with math and convert it using the excellent open-source ImageMagick
pdflatex formula.tex
convert -density 300 formula.pdf -quality 90 formula.png
The convert command used above is one of the ImageMagick tools. See documentation and numerous online resources for many options. The software has versions for all major platforms.
The input latex file should be prepared so that there is no background, margins, etc. For discussion of how to do that, see this post, and the source for it. The example above ultimately comes from there.
This is one way to write the formula.tex file used above, from the linked source.
\ifdefined\formula
\else
\def\formula{E = m c^2}
\fi
\documentclass[border=2pt]{standalone}
\usepackage{amsmath}
\usepackage{varwidth}
\begin{document}
\begin{varwidth}{\linewidth}
\[ \formula \]
\end{varwidth}
\end{document}
There are other converters out there but you need not bother if you can use this.
I have to mention MathJax. It runs in a browser, via one-line JavaScript snippet. Should you ever migrate to a browser/mobile service this would be a perfect solution. Here is their one page tutorial.

LaTeX and Text Statistics

with LaTeX is there the possibility to generate a table with some statistics about the text written?
For exemple, one table with the number of nouns, phrases, paragraph, and some index about the variability or frequency of the words used.
Anyway, if there is not a package like this, how can I build one? I am very interested about this.
Thank you in advance
Noone has ever implemented a natural language processing toolkit (NLTK) for LaTeX. In principle, this is possible, but TeX as a programming language isn't particularly well suited for this task.
So I suggest looking for one of the existing NLTKs (e.g., python-nltk) and do the statistics with it and feed back the result to LaTeX.
LaTeX code is just plain text with control sequences.
You can use detex to remove all comments and control sequences, leaving you with plain text which you could feed through any NLTK you like.
The result of that can be formatted as a table and \input into the document.

How to write a number or string in LaTeX elevated left of the main text

I have a question concerning LaTeX. I have the symbol 99mTc which I need to have: up-elevated(99m) and Tc at the main line of text. How can I do it?
Thank you
P.S. you can see here at the first line how I need it to be: http://en.wikipedia.org/wiki/Technetium-99m
Use a chemical typesetting package like mhchem. Additionally, if you're going to use this symbol often, define a macro to re-use when you need it - it promotes consistency:
\documentclass{article}
\usepackage[version=3]{mhchem}
\newcommand{\Technetium}{\ce{^{99m}Tc}}
\begin{document}
\textbf{Technetium-99m} is a metastable nuclear isomer of technetium-99, symbolized as
\Technetium, that is used in tens of millions of medical diagnostic procedures annually,
making it the most commonly used medical radioisotope.
\end{document}
Note that this no-argument macro should be used as \Technetium{} whenever it should be followed by a space, as TeX gobble spaces following a control sequence.

Is there a calculator with LaTeX-syntax?

When I write math in LaTeX I often need to perform simple arithmetic on numbers in my LaTeX source, like 515.1544 + 454 = ???.
I usually copy-paste the LaTeX code into Google to get the result, but I still have to manually change the syntax, e.g.
\frac{154,7}{25} - (289 - \frac{1337}{42})
must be changed to
154,7/25 - (289 - 1337/42)
It seems trivial to write a program to do this for the most commonly used operations.
Is there a calculator which understand this syntax?
EDIT:
I know that doing this perfectly is impossible (because of the halting problem). Doing it for the simple cases I need is trivial. \frac, \cdot, \sqrt and a few other tags would do the trick. The program could just return an error for cases it does not understand.
WolframAlpha can take input in TeX form.
http://blog.wolframalpha.com/2010/09/30/talk-to-wolframalpha-in-tex/
The LaTeXCalc project is designed to do just that. It will read a TeX file and do the computations. For more information check out the home page at http://latexcalc.sourceforge.net/
The calc package allows you to do some calculations in source, but only within commands like \setcounter and \addtolength. As far as I can tell, this is not what you want.
If you already use sage, then the sagetex package is pretty awesome (if not, it's overkill). It allows you get nicely formatted output from input like this:
The square of
$\begin{pmatrix}
1 & 2 \\
3 & 4
\end{pmatrix}$
is \sage{matrix([[1, 2], [3,4]])^2}.
The prime factorization of the current page number is \sage{factor(\thepage)}
As Andy says, the answer is yes there is a calculator that can understand most latex formulas: Emacs.
Try the following steps (assuming vanilla emacs):
Open emacs
Open your .tex file (or activate latex-mode)
position the point somewhere between the two $$ or e.g. inside the begin/end environment of the formula (or even matrix).
use calc embedded mode for maximum awesomeness
So with point in the formula you gave above:
$\frac{154,7}{25} - (289 - \frac{1337}{42})$
press C-x * d to duplicate the formula in the line below and enter calc-embedded mode which should already have activated a latex variant of calc for you. Your buffer now looks like this:
$\frac{154,7}{25} - (289 - \frac{1337}{42})$
$\frac{-37651}{150}$`
Note that the fraction as already been transformed as far as possible. Doing the same again (C-x * d) and pressing c f to convert the fractional into a floating point number yields the following buffer:
$\frac{154,7}{25} - (289 - \frac{1337}{42})$
$\frac{-37651}{150}$
$-251.006666667$
I used C-x * d to duplicate the formula and then enter embedded mode in order to have the intermediate values, however there is also C-x * e which avoids the duplication and simply enters embedded mode for the current formula.
If you are interested you should really have a look at the info page for Emacs Calc - Embedded Mode. And in general the help for the Gnu Emaca Calculator together with the awesome interactive tutorial.
You can run an R function called Sweave on a (mostly TeX with some R) file that can replace R expressions with their results in Tex.
A tutorial can be found here: http://www.scribd.com/doc/6451985/Learning-to-Sweave-in-APA-Style
My calculator can do that. To get the formatted output, double-click the result formula and press ctrl+c to copy it.
It can do fairly advanced stuff too (differentiation, easy integrals (and not that easy ones)...).
https://calculator-algebra.org/
A sample computation:
https://calculator-algebra.org:8166/#%7B%22currentPage%22%3A%22calculator%22%2C%22calculatorInput%22%3A%22%5C%5Cfrac%7B1%2B2%7D%7B3%7D%3B%20d%2Fdx(arctan%20(2x%2B3))%22%2C%22monitoring%22%3A%22true%22%7D
There is a way to do what you want just not quite how you describe.
You can use the fp package (\usepackage[options]{fp}) the floating point package will do anything you want; solving equations, adding dividing and many more. Unfortunately it will not read the LaTeX math you instead have to do something a little different, the documentation is very poor so I'll give an example here.
for instance if you want to do (2x3)/5 you would type:
\FPmul\p{2}{3} % \p is the assignment of the operation 2x3
\FPupn\p{\p{} 7 round} % upn evaluates the assignment \p and rounds to 7dp
\FPdiv\q{\p}{5} % divides the assigned value p by 5 names result q
\FPupn\q{\q{} 4 round} % rounds the result to 4 decimal places and evaluates
$\frac{2\times3}{5}=\FPprint\q$ % This will print the result of the calculations in the math.
the FP commands are always ibvisible, only FPprint prints the result associated with it so your documents will not be messy, FP commands can be placed wherever you wish (not verb) as long as they are before the associated FPprint.
You could just paste it into symbolab which as a bonus has free step by step solutions. Also since symbolab uses mathquill it instantly formats your latex.
Considering that LaTeX itself is a Turing-complete markup language I strongly doubt you can build something like this that isn't built directly into LaTeX. Furthermore, LaTeX math matkup itself has next to no semantic meaning, it merely describes the visual appearance.
That being said, you can probably hack together something which recognizes a non-programmable subset of LaTeX math markup and spits out the result in the same way. If all you're interested in is simple arithmetics with fractions and integers (careful with decimal fractions, though, as they may appear as 3{,}141... in German texts :)) this shouldn't be too hard. But once you start with integrals, matrices, etc. I fear that LaTeX lacks expressiveness to accurately describe your intentions. It is a document preparation system, after all and thus not very suitable as input for computer algebra systems.
Side note: You can switch to Word which has—in its current version—a math markup language which is sufficiently LaTeX-like (by now it even supports LaTeX markup) and yet still Google-friendly for simpler terms:
With the free Microsoft Math add-in you can even let Word calculate expressions in-place:
There is none, because it is generally not possible.
LaTeX math mode markup is presentational markup and there are cases in which it does not provide enough information to calculate the expression.
That was one of the reasons MathML content markup was created and also why MathML is used in Mathematica. MathML actually is sort of two languages in one:
presentation markup
content markup
To accomplish what you are after you'll have to have MathML with comibned presentation and content markup (see MathML spec).
In my opinion your best bet is to use MathML (even if it is verbose) and convert to LaTeX when necessary. That said, I also like LaTeX syntax best and maybe what we need is a compact syntax for MathML (something similar in spirit to RelaxNG compact syntax).
For calculations with LaTeX you can use a CalcTeX package.
This package understand elements of LaTeX language and makes an calculations, for example your problem is avialble on
http://sg.bzip.pl/CalcTeX/examples/frac.tgz
or just please write
\noindent
For calculation please use following enviromentals
$515.1544 + 454$
or
\[ \frac{154.7}{25}-(289-\frac{1337}{42.})
\]
or
\begin{equation}
154.7/25-(289-1337/42.)
\end{equation}
For more info please visite project web site or contact author of this project.
For performing the math within your LaTeX itself, you might also look into the pgfmath package, which is more powerful and convenient than the calc package. You can find out how to use it from Part VI of The TikZ and PGF Packages Manual, which you can find here (version 2.10 currently): http://mirror.unl.edu/ctan/graphics/pgf/base/doc/generic/pgf/pgfmanual.pdf
Emacs calc-mode accepts latex-input. I use it daily. Press "d", followed by "L" to enter latex input mode. Press "'" to open a prompt where you can paste your tex.
Anyone saing it is not possible is wrong.
IIRC Mathematica can do it.
There is none, because it is generally not possible. LaTeX math mode
markup is presentational markup and there are cases in which it does
not provide enough information to calculate the expression.
You are right. LaTeX as it is does not provide enough info to make any calculations.Moreover, it does not represent any information to do it. But nobody prevents to wright in LaTeX format a text that contains such an information.
It is a difficult path, because you need to build a system of rules superimposed on what content ofthe text in Latex format needs to contain that it would be recognizable by your interpreter. And then convince the user that it is necessary to learn, etc. etc...
The easiest way to create a logical and intuitive calculator of mathematical expressions. And the expression is already possible to convert latex. It's almost like what you said. This is implemented in the program which I have pointed to. AnEasyCalc allows to type an expression as you type the plane text in any text editor. It checks, calculates and generate LateX string by its own then. Its very easy and rapid work. Just try and you will see that.
This is not exactly what you are asking for but it is a nice package
that you can include in a LaTeX document to do all kind of operations including arithmetic, calculus and even vectors and matrices:
The package name is "calculator"
http://mirror.unl.edu/ctan/macros/latex/contrib/calculator/calculator.pdf
The latex2sympy2 Python library can parse LaTeX math expressions.
from latex2sympy2 import latex2sympy
tex_str = r"""YOUR TEX MATH HERE"""
tex_str = r"\frac{9\pi}{\ln(12)}+22" # example TeX math
sympy_object = latex2sympy(tex_str)
evaluated_tex = float(sympy_object.evalf())
print(evaluated_tex)
This Python 3 code evaluates 9𝜋/ln(12)+22 (in its LaTeX from above) to 33.37842899841745.
The snippet above only handles basic algebraic simplification (math expressions without variables). Since the library converts LaTeX math to SymPy objects, the above code can easily be tweaked and extended to handle much more complicated LaTeX math (including solving derivatives, integrals, etc...).
The latex2sympy2 library can be installed via the pip command: pip install --user latex2sympy2
<>
try the AnEasyCalc program. It allows to get the latex formula very easy:
http://steamandwater.od.ua/AnEasyCalc/
:)

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