The After Math: Samsung's big Premiere and Instagram's video debut

Welcome to The After Math, where we attempt to summarize this week's tech news through numbers, decimal places and percentages.

This week's been arguably less hectic than the last, but both Samsung and Facebook decided to up the tempo on Thursday. The Korean hardware maker announced a stack of new hardware, from tablets to cameras to desktop PCs, while Facebook's Instagram went toe to toe with Twitter's Vine, announcing a new video-sharing feature. On the very same day, Tesla had something to show, deftly switching batteries on its Model S faster than you'd be able to fill a gas tank. There were, however, six other days to the week, and we've pored over all of them for this week's numeros.

• New products announced at Samsung's Premiere 2013: 6

• New products announced by Samsung in the last three months: 18

• Operating systems on Samsung's versatile ATIV Q: 2

• Functional positions for the ATIV Q: 4

• Cold startup time on Samsung's new ATIV Book 9 Plus: less than 6 seconds

• Seconds taken to swap out batteries on a Tesla Model S at its new service stations: 90

• Length of video clips on Instagram: 15 seconds

• Video length on Vine: around 6.5 seconds

• Instagram video uploads in its first 24 hours: 5 million

• Final score of Game Seven, San Antonio Spurs vs. Miami Heat (where Instagram video uploads spiked): 88-95

• Years since NEC launched a phone in the US: 8 years

• Smartphones that feature a liquid-cooled processor: 1 (by NEC)

• Total value of Apple's iPad contract with LA schools: $30 million

• Number of tablets the deal will provide: 31,000

• Number of students in Los Angeles Unified School District: 640,000

• Hypothetical number of tablets that money could buy, priced at $678 each: 45,000