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Some of the new Siri and Spotlight features, which will have a huge impact on how people use their iOS devices, can be said to be a direct copy of Google Now. There's also the battery-saving feature, which is somewhat uncharacteristic of Apple, but has been featured in Android phones for years.
The new Siri
Siri is combining with your iPhone's Spotlight search feature to become more "proactive." That means your iPhone will essentially learn your behavior and figure out your routine and agenda based on your apps, time, and location to make useful proactive suggestions for you in a new Siri/Spotlight screen when you swipe right. For example, your most recently and often-used apps will show up in "Siri Suggestions," and it'll learn what you like from Safari searches to show you relevant content you might like.
Siri will also pick out from your emails and calendar any upcoming meetings you have, and it'll suggest the relevant contacts around the appropriate time. It'll also make location-based suggestions for restaurants, coffee places, or what kind of shopping there is in the area you're in.
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If this sounds familiar, that's because you've probably heard about Google's Now service, which is also available in Apple's App Store for your iOS devices. Since 2012, Google Now has been using your search history, emails, calendar entries, and location to give contextually relevant information in the form of "cards." Funny enough, Craig Federighi also used the term "cards" to descirbe how Siri would present you information in the new "proactive" Siri/Spotlight screen.
The main difference between Siri and Google Now is that the information Siri gathers for you isn't being sent to the cloud for processing when Google Now sends all your information to Google. This addresses some of the privacy concerns some may have when using these services, as sending personal data to the cloud helps Google learn a lot about you.
Low-power mode
Another Android-style feature we were surprised to find in iOS 9 was the "low-power mode," which would give you three hours more battery life than normal usage when you need it, but there wasn't much information given on what impact it would have on your device's performance.
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Some settings could change, like reducing the display's brightness and shortening the time for the screen to "timeout," or go to sleep. It could also turn off vibrations when you get a notification or call, and slow down some of the internal hardware, in turn slows down the device's performance.
Apple has resisted adding any power-saving measures to its mobile devices thus far, despite the iPhone 6 having relatively poor battery life compared some Android phones, according to Phone Arena. However, more features, like the revamped Siri, could use up more battery life.