The discussion focuses on the Doppler effect when the observer and source are not moving in a straight line. It emphasizes that only the velocity component parallel to the wave's propagation direction should be considered in the Doppler effect equation. The conversation highlights the importance of accounting for the wave's travel direction and the receiver's position at the time of pulse reception, especially if the receiver is accelerating. Proper mathematical setup is crucial for accurately leading a moving target. Understanding these components is essential for applying the Doppler effect correctly in complex scenarios.