The battle between Apple and Samsung over smartphone design returns to a Silicon Valley courtroom next week as the companies fight over how much Samsung should pay for infringement of five Apple patents in 13 of its smartphones.It was just over a year ago that a jury in the same court awarded Apple US$1.05 billion in damages after finding infringement of Apple's patents in numerous Samsung smartphones. But Judge Lucy Koh cut about $450 million from the total award and ordered a partial retrial after finding the jury had used an "impermissible legal theory" in determining the amount.The case centers on two types of patents and the jury should have used a different formula in calculating the amount owed to Apple by Samsung for infringement of each type of patent, but it didn't consistently do that, Koh said.She also faulted Apple for misstating the date on which it notified Samsung about the infringement. As a result, some of the damages were too high, Koh said."[I]t was Appl