to continue hoping even when it seems impossible
不可能に思えても希望を持ち続けること (fukanou ni omoete mo kibou o mochitsudzukeru koto)
"They hoped against hope that their team would win."
"彼らはチームが勝つと信じて希望を捨てなかった。" (karera wa chiimu ga katsu to shinjite kibou o sutena katta)
to continue working even when you are tired or out of energy
the most important fact or result
a person who loves reading
something very complicated or difficult to understand
a small but essential part of a large system
advancing quickly in a career or project