WOODBURY - From Long Island to Japan, Apple customers paid tribute today to visionary Apple co-founder Steve Jobs, who passed away yesterday.

At Apple headquarters in California, people remembered Jobs for introducing the world to the Mac, iPod, iPhone and iPad, thus revolutionizing the way people play music, play games and communicate.

Jobs died yesterday at the age of 56 after a prolonged battle with pancreatic cancer.

People around the world, among them Mayor Michael Bloomberg, say they were inspired by the man who started one of the world's biggest corporations in his garage when he was 20 years old.

"Steve's legacy 100 years from now and 100 years after that will be the feeling life can be made better, that life can be more productive, that life can be more fun," Bloomberg said.

Apple co-founder Steve Wozniak says Jobs was always a half-step ahead of everyone else.

A year after he revealed he had pancreatic cancer, Jobs delivered a commencement speech at Stanford University in which he memorably said, "Your time is limited, so don't waste it living someone else's life."

Apple fans have named Oct. 14 Steve Jobs Day, which happens to be the same day the new iPhone 4S hits store shelves. Organizers are encouraging people to wear Jobs' trademark jeans and black turtleneck as a tribute to one of history's great visionaries. Interview: Lustgarten Foundation executive director on Jobs' deathApple co-founder Steve Jobs dead at 56Key dates from the life and work of Steve JobsPresident Obama on the passing of Steve JobsApple statement