A supporter of Venezuela's President Hugo Chavez holds up a banner bearing the image of the South American leader at a rally in Caracas, Venezuela, Thursday, Jan. 10, 2013. Hundreds of supporters gathered outside his presidential palace in an alternative inauguration, showing their support for the ailing leader and wearing T-shirts with the slogan "I am Chavez." The government organized the rally for the cancer-stricken leader on the streets outside Miraflores Palace on what was supposed to be his inauguration day. A swearing-in ceremony has been indefinitely postponed, despite opposition complaints. (AP Photo/Ariana Cubillos)CARACAS, Venezuela (AP) — Nothing shows the extent of Hugo Chavez's grip on power quite as clearly as his absence from his own inauguration on Thursday.