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is this the correct way to diagram:

Daniel will not smile unless he has his iPad or watches Monster's University

Ds —> iPad or Monster's
~iPad & ~Monster's —> ~Ds

_______

NOTE: "No" statements include: no, none, not … (are there anymore?)

"Unless" statements include: unless, until, without, except … (are there anymore?)

I'll use the method I learned for unless statements (7sage). Unless is a part of a group known as negate sufficient. Take the two ideas present and negate any one of them and place that in the sufficient portion of the conditional statement. Keep the other one as is and make it the necessary condition. Your conditional statement is correct.

There is also another group called negate necessary, where you do the opposite. This group includes no, none, not both, cannot, etc.

No dogs can talk.
2 ideas: dogs + can talk(disregard the "no", or the "unless" after you decide to use that as the conditional signifier).

Take one, negate it and make it the necessary condition.
Dog ---> ~talk

Easiest way to do unless is just make the unless statement the necessary statement, make the other part the sufficient and negate that.
So: the boat will sink unless the hole is fixed.
-sink->fixed
-fixed->sink

I always use that example if I'm having trouble, because it's very much a real world issue that you can picture.

mist4bison and ColumbiaBigLaw, is my analysis in the OP correct though?

Yes you diagrammed it correctly

Thanks JackelJ! (Nice 'tar, btw)

Yep, that's all correct. The only other "no" word I can think of would be neither and never. There are probably others, but they're very obvious when you run across them. Basically any word that means no (neither=not one of these, never=at no time)