There is no difference. Persevere in moving forward: it means going through tempering, overcoming difficulties and making continuous progress. Also known as "Endeavour". They are synonyms, and the synonym of progress is also called mainstay. Describe a person who is strong and unyielding, standing like a pillar in a torrent. It is also a metaphor for the power that can play a pillar role in a turbulent and difficult environment.