[Tex/LaTex] How to deal with the size of the exponential type function’s argument

math-mode

I have the following function in a report of global size 12 :

$Q= \rho V c_{p} \left( T -T_{\infty} \right) [ 1-e^{\frac {h A_s}{\rho V c_{p}}t}]$

As one would expect, the exponential function's argument appears very tiny:

enter image description here

Now , my question is that:

Are there ways to make deal with this problem?Some people may suggest and have suggested) that I change the argument's font size..that surely is a way but in small font sizes such as font size 12, it looks terrible , and others suggest to use the exp function , but I feel that , that answer applies to a class of functions that have popular inline alternatives.

Also answers suggested should be within the range of good scientific/mathematical documentation practices.

Best Answer

I would suggest:

$Q= \rho V c_{p} \left( T -T_{\infty} \right) [ 1-e^{h A_s t / \rho V c_{p}}]$

or, if you really want the t kept separate from the fraction, then:

$Q= \rho V c_{p} \left( T -T_{\infty} \right) [ 1-e^{(h A_s / \rho V c_{p})t}]$

Results:

enter image description here

Related Solutions

[Tex/LaTex] Resizing dynamically the `e` of the exponential function

I should probably not be surprised to get negative points for this answer.

Here's something you could do, but I think it results in a very ugly output. Granted, this is a brute-force approach and could probably be a bit more prettified. But even then, I think, it would still be ugly.

\documentclass{article}
\usepackage{booktabs}
\usepackage{amsmath,amssymb}
\usepackage{graphicx}

\newsavebox\myuglybox
\def\mye#1{%%
  \savebox{\myuglybox}{$#1$}%%
  \resizebox{!}{\ht\myuglybox}{$\mathrm{e}$}^{\usebox{\myuglybox}}}

\pagestyle{empty}
\begin{document}

\begin{tabular}{ccc}
  Scaled (Ick!)                                & Unscaled (Ick!)                              & Preferred \\\midrule
$\dfrac{1}{\sqrt{2\pi}}\mye{-\dfrac{1}{2}x^2}$ & $\dfrac{1}{\sqrt{2\pi}}e^{-\dfrac{1}{2}x^2}$ & $\dfrac{1}{\sqrt{2\pi}}\exp\left(-\dfrac{1}{2}x^2\right)$
\end{tabular}

\vspace{3ex}

Monster content

$\mye{\dfrac{1}{\sqrt{2\pi}}\mye{-\dfrac{1}{2}x^2}}$

\end{document}

enter image description here

If this is something that works for you, I'll leave the prettifying to you.

[Tex/LaTex] Emphasize the exponential function in the text

I would not recommend changing the font style, I would rather add some redundant information, such as the definition of exp, or set it in quotes.

\documentclass{article}
\begin{document}
$y = \exp(x)$, where $\exp\colon x \mapsto \mathrm{e}^x$ is the
exponential function.

$y = \exp(x)$, where ``$\exp$'' is the exponential function.
\end{document}

Best Answer

Related Solutions

[Tex/LaTex] Resizing dynamically the `e` of the exponential function

[Tex/LaTex] Emphasize the exponential function in the text

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