Components
有理 is an exact match with the following word:
有理
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Reading : ゆうり   
1. rational
2. rational (number or function)  (mathematics)
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My current mastery of 有理:
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Usefulness and usage:
Kanshudo usefulness level: 9 (among the 50,000 most useful words in Japanese)
• Kanshudo usefulness level is based on a usefulness score of 42,165 which gives a rank of 38,570
• Google Japan frequency rank: 32,000 (about 18,200,000 results)
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Example sentences:
だいがくせい
大学生
とき
ゆりこ
有理子
あいよく
愛欲
ゆだ
ねた

When she was at university, Yuriko abandoned herself to sexual passion.
ユウ   ウ   あ to possess; to exist   
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ten   じゅう    じつ    と    とう    
ガツ   ゲツ   つき month; moon   
リ    logic   
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リ   さと village   
オウ    king   
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イチ   イツ   ひと    ひと- one   
ド   ト   ground; earth   つち ground, earth, soil   
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