without leaving a gap: constantly, on every appropriate occasion, never neglected
The word pictures an action with no real break left in it. Built from a verb that means "to leave a gap," with a prefix that cancels the gap, it does not promise that something happens every single second. It promises that the thing never lapses, never gets dropped, keeps coming back on every fitting occasion. Outside the Bible the same word described:
- a chronic cough
- taxes that were paid on a regular schedule
- public duties a man kept being drafted into again and again
None of those happen literally nonstop, yet all of them are unceasing in the sense that matters: they keep recurring and never fully stop.
That one picture covers everything the word does in the New Testament. Almost every time, Paul uses it for prayer, thanksgiving, or holding someone in mind: he prays, gives thanks, and remembers people constantly, meaning faithfully and without ever letting it drop. Once he uses it for a feeling that will not lift, the grief he carries for his own people, which is always there even while he goes on living and working.
The two go together. Whether the action is something a person does on every fitting occasion, like prayer, or a state that never fully eases, like sorrow, the core idea is the same: there is no real gap. The word measures faithfulness and persistence, not the impossible math of a moment without a single pause.