1. To increase or grow larger in some metric. Incidence of identity theft has been rising in frequency each year. The motherboard continued rising in temperature until the computer finally crashed. You should get a good stockbroker if you want your investments to rise in value over the years.

2. To reach a more prominent position in some group, organization, company, etc. Entry level positions are pretty easy to come by, but rising in the company requires years of hard work, additional training, and middling salaries. She continued to rise in the navy, eventually becoming the first female four-star admiral.