英語「In order」の意味・使い方・読み方 | Weblio英和辞書 The words "in order" to express purpose in "in order to" are usually redundant, and can be removed to leave just "to" as an expression of purpose However, the full expression is required in the negative ("in order not to") and occasionally to avoid ambiguity
英語「ordered」の意味・読み方・表現 | Weblio英和辞書 (mathematics, of a set, often with some algebraic structure) Equipped with a partial or total order which, in any of several technical senses, respects the algebraic structure of the object (if such structure exists)