It is best to understand that Paul is here referring to activities of believers in ministry before the Lord and the public, where a clear testimony is essential.In the most general senses praying is talking to God about people, including ourselves, and prophesying is talking to people about God. One is vertical (man to God) and the other is horizontal (man to man), and they represent the two primary dimensions of believers' ministry. Admittedly, the detail of this passage related to head coverings is difficult because of the scarcity of historical data. But the content helps to clarify the principle Paul has in mind, whatever the special covering may have been. He wants the church to live according to divine standards. . . .