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intently; single-mindedly; devotedly; solely; earnestly; with all one's heart
「一向」 has other readings with different meanings.
彼からの連絡が一向に来ないのだ。
I haven't received any contact from him at all.
一向に状況が改善しないままなのだ。
The situation still isn't improving at all.
彼は一向に気にしていないようだ。
He doesn't seem to care at all.