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I am looking for a program that can read a LaTeX file and give a warning (+ ideally a fix suggestion) for each common mistake it spots in math formulas. If possible, free and works with Windows 7 SP1 x64 Ultimate.

Examples of common mistake in LaTeX math mode:

1) Differentials: $\int_0^1 f(x) dx$ instead of $ \int_0^1 f(x) \, dx$ :

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2) Multi-letter function names: $log e^x = x$ instead of $\log e^x = x$:

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3) Wrong kinds of dots: "$x,...,y$" instead of $x, \ldots, y $.

It would be even greater if it could give warnings for all the LaTeX writing, not just the math mode, e.g. one common mistake is writing "Yes." instead of ``Yes.'':

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There are quite a few but the one I would recommend is ChkTeX.

From the web page:

  • Supports over 40 warnings. Warnings include:
    • Commands terminated with space. Ignores ``\tt\'', etc.
    • Space in front of references instead of ``~''.
    • Forgetting to group parenthesis characters when sub-/superscripting.
    • Italic correction (``/'') mistakes (double, missing, unnecessary).
    • Parenthesis and environment matching.
    • Ellipsis detection; also checks whether to use ``\dots'', ``\cdots'' or ``\ldots''.
    • Enforcement of normal space after abbreviation. Detects most abbreviations automagically.
    • Enforcement of end-of-sentence space when the last sentence ended with capital letter.
    • Math-mode on/off detection.
    • Quote checking, both wrong types (``"'') and wrong direction.
    • Recommends splitting three quotes in a row.
    • Searching for user patterns.
    • Displays comments.
    • Space in front of ``\label'' and similar commands.
    • Use of ``x'' instead of ``$\times$'' between numbers.
    • Multiple spaces in input which will be rendered as one space (or multiple spaces, where that is undesirable).
    • Warns about text which may be ignored.
    • Mathematical operators typeset as variables.
    • No space in front of/after parenthesis.
    • Demands a consistent quote style.
    • Punctuation inside inner math mode/outside display math mode.
    • Use of TeX primitives where LaTeX equivalents are available.
    • Space in front of footnotes.
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