to admit you were wrong and stop arguing
自分が間違っていたと認めて議論をやめること (jibun ga machigatte ita to mitomete giron o yameru koto)
"She refused to back down even after realizing her mistake."
"彼女は自分のミスに気づいた後でもバック ダウンしなかった。" (Kanojo wa jibun no misu ni kizuita ato demo **back down** shinakatta.)
to feel very excited or pleased about something
to allow emotions to calm down naturally over time
to feel capable of doing something
to control or suppress something or someone
to feel you should thank someone for something
to control inflation and prevent it from rising too much