The Greek adjective adialeiptos and its adverb adialeiptōs mean unceasing, without interruption, or constant. The adverb form occurs 4 times in the New Testament. It is a compound word: a (not) + dia (through) + leip (leave) = that which does not cease or leave off.
Adialeiptos is most famously used in Paul's charge to 'pray without ceasing' (adialeiptōs, 1 Thessalonians 5:17) — one of the most challenging and misunderstood commands in the New Testament. Paul cannot mean non-stop verbal prayer; rather, he envisions a life of constant prayerful orientation toward God — a consciousness never fully removed from divine communion. He also describes his own intercession for the Roman church as 'unceasingly' (adialeiptōs) remembering them in his prayers (Romans 1:9). This word paints the portrait of a life so saturated in God that prayer becomes the atmosphere of every moment, not a scheduled activity.