1. In case – Used to express a precaution or condition (e.g., "Bring an umbrella in case it rains.")
  2. Provided that – Suggests a stipulation or requirement (e.g., "You can go to the party provided that you finish your homework.")
  3. Assuming – Indicates a condition based on an assumption (e.g., "Assuming it doesn’t rain, we’ll have a picnic.")
  4. As long as – Implies a conditional agreement or requirement (e.g., "You can use my car as long as you’re careful.")
  5. Supposing – Suggests a hypothetical situation (e.g., "Supposing we left early, would we avoid traffic?")
  6. In the event that – Expresses a contingency (e.g., "In the event that it snows, the event will be canceled.")
  7. On the condition that – Denotes a requirement (e.g., "I’ll lend you my book on the condition that you return it.")
  8. Whether or not – Conveys a conditional possibility (e.g., "Let’s go to the beach, whether or not it’s sunny.")
  9. Assuming that – Used for hypothetical scenarios (e.g., "Assuming that we win, we’ll celebrate tonight.")
  10. Given that – Indicates a specific condition or fact (e.g., "Given that it’s late, we should leave now.")

Each phrase can provide a slight nuance to the meaning, so they’re used in different contexts to refine conditions and possibilities.