Grammar post #6

So my post this week is about when you should combine words and when you shouldn't
like, when can not should be cannot or when no one should be noone (which I think is never), and should throughout ever be through out?

I've often come across these words when reading always thought that the combined versions were just a lazy persons way of writing.
This was a fairly hard subject to research and most of the sites I found seemed to add more confusions instead of clear up my confusion.

Can not is sometimes used to indicate that that you can NOT do something. "I can not eat the cake if I wish." indicates that someone has a choice in eating cake. However, "I cannot eat the cake if I wish." indicates that there is no choice, you simply may not eat the cake.
It seems that can not can always be used in place of cannot but sometimes you cannot use cannot in place of can not.

No-one is generally used when referring to people but can also be written as no one, which can also refer to objects. Though this is more commonly written as not one. Under no circumstances should it be written as noone.
No-one should ever use noone but, can sometimes use no one which can sometimes also be not one.

This site indicates that through out is never correct and should be thrown out for throughout.

That should make everything as clear as a stained glass window.