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Microsoft CEO Satya Nadella admits giving up on Windows Phone and mobile was a mistake
(www.theverge.com)
This is a most excellent place for technology news and articles.
Ok now explain it for those of us who went to community college
It’s a thing programmers use to make apps on iOS, android, and (previously) windows phone. It lets you use Microsoft’s words to translate into word that can be understood by iOS and android.
Basically, if you're going to develop an app for different platforms (iPhone, Android, Windows desktop, etc), you usually have to have some/all of your code be specific to that platform. In some cases it may even have to be in different programming languages.
Xamarin is an attempt to let developers write code in one language (Microsoft's C# language), with one common set of code that can then be installed on many different platforms.
In reality, it's a little more complicated than that... but that's the goal.