4週1日目 地図の上では
Perspective・object・obligation
接続：Nの／V辞書＋上では
based on theory or data
注意 / Note：State what is true ON PAPER, data or theory, and the latter almost always say the reality is different. There is は so it already has an opposite meaning - that is different from 〜上で.
比較 / Compare：Same song: 〜上で／〜上の. These models are often mistakenly chosen for each other — carefully read the 接続 and nuances above and then decide.
よく出る形 / Common form：名詞の・名詞＋上では、〜。Or go with 計算・統計・法律・地図・記録. The latter usually has が・けど・実際は.
地図の上では近く見える。
On the map it looks close.
法律上では問題がない。
Legally, there is no problem.
計算の上では足りるが、実際にはかなり厳しい。
On paper it's enough, but in reality it's quite difficult.