What is meant by mindful inhalation, mindful exhalation, and mindful abiding?

Regarding the dharma currently being contemplated and cultivated, being able to focus single-mindedly without distracting thoughts is right mindfulness. Right mindfulness is the thought that should be maintained in the present moment, a thought consistent with the object of contemplation at present, and it is also a thought of direct perception. For example, when contemplating the in-breath during contemplative practice (vipaśyanā-caryā), the entire attention is on the in-breath—from the moment the breath enters through the nostrils until it travels down to the dantian, the whole process is observed with focused, single-minded attention, merely observing objectively and simply, without mental activities of the consciousness such as thinking, analyzing, reasoning, or imagining—just simply knowing. Other dharmas are not attended to, not engaged with; one does not observe how the body's sensations feel either, with the mind not resting on sensations but only on the in-breath. It is the same with the out-breath, and the same during both the in- and out-breaths. Practicing any other dharma is also like this—this is what is right, the correct and reasonable method of diligent practice. Only by making the mind single-pointed, maintaining the equal cultivation of Samādhi and Prajñā, without leaning to either side, can one enter the Path.