Declarations Are Restrictive or Nonrestrictive?

2005-11-27T12:57:00Z

A sequence xn is regular if ∀ n m : ℕ+, |xm − xn| ≤ m−1 + n−1.

A sequence, xn, is regular if ∀ n m : ℕ+, |xm − xn| ≤ m−1 + n−1.

Which of the above two sentences is better? Is making a variable declaration in a sentence restrictive, or nonrestrictive?

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