to go up or come up, and in its lifting forms to bring someone up out of a place
This is the everyday Aramaic word for going up, and in the Aramaic parts of Ezra and Daniel it does the work that the common Hebrew verb for going up (עָלָה) does elsewhere in the Old Testament. In Ezra 4:12 it describes people who "came up" from Babylon to Jerusalem, the ordinary way of speaking about that journey, since the city sits high in the hills. The letter that reports it pairs this verb with the plain word for arriving (אֲתָה) in a single sentence: they went up, and they got there.
In Daniel's visions the word is how a new power arrives. Four great beasts come up out of the sea, and a small horn comes up among ten others and shoulders three of them aside. The verb is not only reporting movement; it marks the moment something appears on the scene that was not there before. Revelation later reaches for the matching Greek verb (ἀναβαίνω) to show a beast rising out of the sea in just this way.
The same word turns inward and outward. Inward: on his bed Nebuchadnezzar's thoughts "came up," the way a worry surfaces in a sleepless night. Outward: its lifting forms put the movement in someone else's hands, whether that is the guards who carried Shadrach, Meshach and Abednego up to the mouth of the furnace, or the king's order that Daniel be brought up out of the lions' den, where the plain verb quietly carries the rescue.