甘心 (gānxīn) — to be willing; to be resigned to

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他并不甘心把失败归咎于运气，而是重新审视自己的决策逻辑。 Tā bìng bù gānxīn bǎ shībài guījiù yú yùnqì, ér shì chóngxīn shěnshì zìjǐ de juécè luójí. He was not willing simply to blame failure on luck, but instead re-examined the logic of his decisions.
他不甘心就这样输了，决定明年再来一次。 Tā bù gānxīn jiù zhèyàng shū le, juédìng míngnián zài lái yí cì. He isn't willing to lose just like this and decided to try again next year.
她甘心留在小山村里，教那里的孩子读书。 Tā gānxīn liú zài xiǎo shāncūn lǐ, jiāo nàlǐ de háizi dúshū. She is content to stay in the little mountain village and teach the children there to read.