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Definition funny of Hanai: Hawaiian. It loosely means adopted, with or without legal papers. Today most use people use it as a way to refer to someone who is so close to you, they're family, even without a blood connection.
Just a guess. Kiai is a Japanese go term representing an attitude of aggressively parrying your opponent's plans and pushing ahead with your own. Often translated as fighting spirit, it has a positive sense, and can also be applied to individual moves demonstrating the kiai attitude.