nod, information,animation,equation,nickname

[Ju]

1. He greeted May by nodding his head.
2. He greeted May by nodding.

Which of the above sentences is correct?
__________________________________________________ __________

1. All the information has been jotted in the notebook.
2. All the information have been jotted in the notebook.
3. All the informations have been jotted in the notebook.

Which of the above sentences is correct?
__________________________________________________ __________
What are difference between animation and cartoon?
__________________________________________________ __________

1. 4+5 = 9
2. 9x8-1 =71

Shall I call the above calculating format as equation, formula, working..? If not, how should I say?
__________________________________________________ __________
Some people like to call David as Dave, Jessica as Jess....
Shall I say Dave is the nickname of David, Jess is the nickname of Jessica, if not, how should I say?
__________________________________________________ __________

Many thanks.

[Anglika]

1. He greeted May by nodding his head.
2. He greeted May by nodding.

Which of the above sentences is correct? Both - but the first is tautologous.
__________________________________________________ __________

1. All the information has been jotted in the notebook.
2. All the information have been jotted in the notebook.
3. All the informations have been jotted in the notebook.

Which of the above sentences is correct? "Information" is singular.
__________________________________________________ __________
What are difference between animation and cartoon? In cinematic terms, nothing.
__________________________________________________ __________

1. 4+5 = 9
2. 9x8-1 =71

Shall I call the above calculating format as equation, formula, working..? If not, how should I say? "calculation" or "working".
__________________________________________________ __________
Some people like to call David as Dave, Jessica as Jess....
Shall I say Dave is the nickname of David, Jess is the nickname of Jessica, if not, how should I say? They are both shortenings of names. Nicknames are generally terms like "Shorty" for a tall person, "Red" for a red-headed person.
__________________________________________________ __________

Many thanks.

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