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The word "与日俱增" is formed by sequentially combining the characters "与" (meaning "with"), "日" (meaning "day"), "俱" (meaning "together"), and "增" (meaning "increase"); the literal construction "with day together increase" conveys the sense of something growing or intensifying in tandem with the passing of each day.

Word Definition - 与日俱增

yǔ rì jù zēng to increase steadily; to grow with each passing day