I am writing a mathematical paper. Consider a sentence like the following:

"we choose a function F such that formula (1) holds and the quantity F(x) is complex"

It seems to me that the sentence is a bit hard to read, because the "and" may be seen as the beginning of a new sentence.

Is there a better way to write such a sentence?

Thank you for your suggestions.

  • Such that P and Q are what???
    – Hot Licks
    Commented Mar 8, 2020 at 2:42
  • They are two properties associated to the object X (I edited the question).
    – Capublanca
    Commented Mar 8, 2020 at 3:33
  • You choose an object such that color and weight???
    – Hot Licks
    Commented Mar 8, 2020 at 3:39
  • 1
    Presumably, the audience for this paper will be mathematicians so they will be reading the sentence from that perspective and take the "and" as a logical operator. You could make it more explict with "such that (a) formula (1) holds and (b) the quantity F(x) is complex". Commented Mar 8, 2020 at 8:01
  • 1
    Why do you think "and" starts a new sentence?
    – CJ Dennis
    Commented Mar 9, 2020 at 2:31

1 Answer 1


How about:

'We choose a complex function F(x) such that the formula (1) holds.'

'such that' is a phrase that introduces a result clause/Adverbial clause.

To be able to answer correctly, we need to first understand what you are talking about; and that's why I think this question would be better served in "Math Stack Exchange."

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