An AHRS is an "attitude heading reference system" - sensors on three axes which provide information on the attitude for aircraft, including roll, pitch and yaw - intended to replace traditional mechanical gyroscopic flight instruments and provide reliability or accuracy.
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Ahrs-dihk-TAH-mee-nees is the pronunciation of 'ars dictaminis' in the classical Latin of the ancient Romans. Ahrs deek-TAH-mee-nees is the pronunciation in liturgical Latin. Either way, the phrase means 'the art of dictating'. In the word by word translation, the noun 'ars', which is the feminine nominative singular as the phrase's subject, means 'art, method, skill'. The noun 'dictaminis', which is the neuter genitive singular of possession for 'dictamen', means 'act of dictating'.