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Editing formulas in the PMS Template

  • The sizes of parentheses, brackets and braces should generally correspond to the sizes of relevant operators (sums, integrals, etc.); they could be larger if followed by a division "slash".
  • Avoid fractions; whenever possible replace them by a "slash" or a negative power.
  • The summation and integration limits should appear as subscripts and superscripts in the text, in fractions, and in \cases. In other situations they should appear below and above the operator us the command, say, \int\limits_0^\infty.
  • Use abbreviated notation for often repeated, complicated expressions.
  • Do not insert additional spacings before and after operators of summation, integrations, etc.
  • If possible, avoid splitting formulas into several lines. If such a split is necessary then enforce it at relation signs or operators and put those signs at the begining of the next line. In general, it is better if the first line of the multiline formula is shorter than the other lines.
  • Use bold face fonts to denote vectors.
  • Do not use italics to denote operators, define them. Example: use \operatorname*{Cov} for the covariance function.
  • Use spacing between formulas according to the format:
    • formula \qquad formula
    • formula \qquad with \quad formula
    • formula \qquad and \qquad formula
  • Introduce only necessary numbering of the formulas, tag them and refer to them via the command \eqref{tag}. No parentheses are needed.
  • Utilize built-in environments: theorem, lemma, proposition, remark, corollary, fact, commentary. In the environments remark, and definition we only enter in italics the notion to be defined. In brackets additional information can be entered (such as the name of the example, or the authors of a theorem).