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TeX documents in different fields: Calculus, Physics, Numerical Math, etc.

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TeX_docs

TeX documents in different fields: Calculus, Physics, Numerical Math, etc.


Getting started

First of all, the template I use in my documents: Untitled template...

Another useful resource is Latex Workbook for Beginners...

And the last one, my own post with First steps in LaTeX

Content you may like

  1. Stability theory lectures UKR TeX Source...

Notice, that stabtheory_lec<num> included in Release with appropriative tag.

  1. Probability theory lectures UKR TeX Source... Final PDF...

Repository contains vector graphics source provided in a svg files. All pictures were created with Inkscape editor.


Best practices

For making typesetting correctly you need to avoid bad practices or legacy\deprecated LaTeX commands and packages. There is my own list of recommendations that you can use as a styleguide.

  1. Use defined theorem styles like defo, teo, boxteo, proof, etc.
  2. Use LaTeX Math mode \[ \] for display math and \( \) for inline math instead of TeX $ $ $$ $$.
  3. In curly brackets (like in sets or sequences) use \ \big| \ as a separator.
  4. Use \bigg|_{}^{} for subtractions/restrictions : image.

Snippets

Snippets are an important part of my TeX environment. You can use them with Atom editor with atom-latex extension installed.

'.source.pweave.md, .source.gfm, .text.md':
  'latex inline':
    'prefix': 'latex'
    'body': '<img src=\\\"https:\\\/\\\/render.githubusercontent.com\\\/render\\\/math?math=$1 \\\">'
'.tex':
  'limit':
    'prefix': 'lim'
    'body': ' \\\\lim\\\\limits_{$1\\\\to $2}{$3}'
  'summ':
    'prefix': 'sum'
    'body': ' \\\\sum\\\\limits_{$1}^{$2}{$3}'
  'min':
    'prefix': 'min'
    'body': ' \\\\min\\\\limits_{$1}{$2}'
  'max':
    'prefix': 'max'
    'body': ' \\\\max\\\\limits_{$1}{$2}'
  'sup':
    'prefix': 'sup'
    'body': ' \\\\sup\\\\limits_{$1}{$2}'
  'inf':
    'prefix': 'inf'
    'body': ' \\\\inf\\\\limits_{$1}{$2}'
  'multiplication':
    'prefix': 'mult'
    'body': ' \\\\prod\\\\limits_{$1}^{$2}{$3}'
  'Integr a_b':
    'prefix': 'int'
    'body': ' \\\\int\\\\limits_{$1}^{$2}{$3}'
  'fraction':
    'prefix': '\/'
    'body': '\\\\frac{$1}{$2}'
  'dfraction':
    'prefix': 'd\/'
    'body': '\\\\dfrac{$1}{$2}'
  'epsilon':
    'prefix': 'eps'
    'body': '\\\\varepsilon'
  'sigma':
    'prefix': 'g'
    'body': '\\\\sigma $1'
  'module':
    'prefix': '\|'
    'body': '\\\\left\\\| $1 \\\\right\\\|'
  'big_round_bracket':
    'prefix': 'bir'
    'body': '\\\\left\\\( $1 \\\\right\\\)'
  'big_squared_bracket':
    'prefix': 'bsq'
    'body': '\\\\left\\\[ $1 \\\\right\\\]'
  'braket':
    'prefix': 'braket'
    'body': '\\\\left\\\\lbrace $1 \\\\right\\\\rbrace'
  'neq':
    'prefix': '\!\='
    'body': '\\\\neq '
  'dlra':
    'prefix': '\=\>'
    'body': '\\\\Longrightarrow '
  'dlla':
    'prefix': '\<\='
    'body': '\\\\Longleftarrow '
  'lla':
    'prefix': '\<\-'
    'body': '\\\\longleftarrow '
  'dllra':
    'prefix': '\<\=\>'
    'body': '\\\\Longleftrightarrow '
  'lra':
    'prefix': '\-\>'
    'body': '\\\\xrightarrow\\\[$1\\\]\\\{$2\\\}'
  'geq':
    'prefix': '\>\='
    'body': '\\\\geq '
  'leq':
    'prefix': '\<\='
    'body': '\\\\leq '
  'proof':
    'prefix': 'proof'
    'body': '\\\\begin\\\{proof\\\}\n $1 \n\\\\end\\\{proof\\\}'
  'theorem':
    'prefix': 'bteo'
    'body': '\\\\begin\\\{boxteo\\\}\n $1 \n\\\\end\\\{boxteo\\\}'
  'gathered':
    'prefix': 'gathered'
    'body': '\\\\begin\\\{gathered\\\}\n $1 \n\\\\end\\\{gathered\\\}'
  'cases':
    'prefix': 'cases'
    'body': '\\\\begin\\\{cases\\\}\n $1 \n\\\\end\\\{cases\\\}'
  'dcases':
    'prefix': 'dcases'
    'body': '\\\\begin\\\{dcases\\\}\n $1 \n\\\\end\\\{dcases\\\}'
  'center':
    'prefix': 'center'
    'body': '\\\\begin\\\{center\\\}\n $1 \n\\\\end\\\{center\\\}'
  'example':
    'prefix': 'example'
    'body': '\\\\begin\\\{example\\\}\n $1 \n\\\\end\\\{example\\\}'
  'definition':
    'prefix': 'defo'
    'body': '\\\\begin\\\{defo\\\}\n $1 \n\\\\end\\\{defo\\\}'
  'bmatrix':
    'prefix': 'bmatrix'
    'body': '\\\\begin\\\{bmatrix\\\}\n $1 \n\\\\end\\\{bmatrix\\\}'
  'vmatrix':
    'prefix': 'vmatrix'
    'body': '\\\\begin\\\{vmatrix\\\}\n $1 \n\\\\end\\\{vmatrix\\\}'
  'split':
    'prefix': 'split'
    'body': '\\\\begin\\\{split\\\}\n $1 \n\\\\end\\\{split\\\}'
  'alpha':
    'prefix': 'alpha'
    'body': '\\\\alpha'
  'beta':
    'prefix': 'beta'
    'body': '\\\\beta'
  'rational':
    'prefix': 'R',
    'body': '\\\\mathbb\\\{R\\\}'
  'probability':
    'prefix': 'P',
    'body': '\\\\mathbb\\\{P\\\} \\\\left\\\\lbrace $1 \\\\right\\\\rbrace'
  'natural':
    'prefix': 'N',
    'body': '\\\\mathbb\\\{N\\\}'
  'vector':
    'prefix': 'vect',
    'body': '\\\\overrightarrow\\\{$1\\\}'
  'mean':
    'prefix': 'E',
    'body': '\\\\mathbb\\\{E\\\}'
  'covariance':
    'prefix': 'C',
    'body': '\\\\mathbb\\\{C\\\}'
  'variance':
    'prefix': 'D',
    'body': '\\\\mathbb\\\{D\\\}'
  'overline':
    'prefix': 'not',
    'body': '\\\\overline\\\{$1\\\}'
  'sin':
    'prefix': 'sin'
    'body': '\\\\sin\\\{$1\\\}'
  'cos':
    'prefix': 'cos'
    'body': '\\\\cos\\\{$1\\\}'
  'derivative':
    'prefix': 'd'
    'body': '\\\\mathrm{d}'
  'tg':
    'prefix': 'tg'
    'body': '\\\\tg\\\{$1\\\}'
  'Math mode':
    'prefix': 'q_uation'
    'body': '\\\\\\\[\\\n $1 \\\n\\\\\\\]'
  'Inline Math mode':
    'prefix': 'f_ormulae'
    'body': '\\\\\\\( $1 \\\\\\\)'
  'separator':
    'prefix': 'sep1'
    'body': '\\\\  \\\\big\\\| \\\\  $1'
  'restriction':
    'prefix': 'restr'
    'body': '\\\\bigg\\\|_\\\{$1\\\}^\\\{\\\}'
  'varphi':
    'prefix': 'phi'
    'body': '\\\\varphi'
  'omega':
    'prefix': 'w'
    'body': '\\\\omega'
  'lambda':
    'prefix': 'k'
    'body': '\\\\lambda'
  'xi':
    'prefix': 'xi'
    'body': '\\\\xi'
  'eta':
    'prefix': 'eta'
    'body': '\\\\eta'
  'includegraphics':
    'prefix': 'image'
    'body': '\\\\includegraphics\\\[scale=$1\\\]\\\{$2\\\}'