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Merge pull request #495 from matthew-healy/develop 

Minor rewrite of Math Behind Rx file
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Krunoslav Zaher 2016-02-20 11:06:56 +01:00
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Documentation/MathBehindRx.md
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@ -3,19 +3,17 @@ Math Behind Rx
## Duality between Observer and Iterator / Enumerator / Generator / Sequences
There is a duality between observer and generator pattern. That's what enables transition from async callback world to synchronous world of sequence transformations.
There is a duality between the observer and generator patterns. This is what enables us to transition from the async callback world to synchronous world of sequence transformations.
In short, enumerator and observer pattern both describe sequences. It's pretty obvious why does enumerator defined sequence, but what about observer.
In short, the enumerator and observer patterns both describe sequences. It's fairly obvious why the enumerator defines a sequence, but the observer is slightly more complicated.
There is also a pretty simple explanation that doesn't include a lot of math. Assume that you are observing mouse movements. Every received mouse movement is an element of a sequence of mouse movements over time.
There is, however, a pretty simple example that doesn't require a lot of mathematical knowledge. Assume that you are observing the position of your mouse cursor on screen at given time periods. Over time, these mouse positions form a sequence. This is, in essence, an observer sequence.
In short, there are two basic ways elements of a sequence can be accessed.
There are two basic ways elements of a sequence can be accessed:
* Push interface - Observer (observed elements over time make a sequence)
* Pull interface - Iterator / Enumerator / Generator
To learn more about this, these videos should help
You can also see a more formal explanation explained in a fun way in this video:
You can also see a more formal explanation in this video:
[Expert to Expert: Brian Beckman and Erik Meijer - Inside the .NET Reactive Framework (Rx) (video)](https://www.youtube.com/watch?v=looJcaeboBY)