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It sounds like the lecturer is saying

now that we've explored the relationship between functions and their gradient.

gradient is a countable noun, So, gradients would be better here, right?

similarly, in the following expressions (suppose each developer bring at most 1 computer), one is better than two

expression_1: there will be a lot of developers and their computers.

expression_2: there will be a lot of developers and their computer.

Is my understanding right?

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  • You are correct. It’s not clear to me why, in your example, the speaker says gradient. It may be a mistake or they may want gradient to be a mass noun (uncountable noun).
    – whiskeychief
    Commented Aug 6, 2019 at 9:37

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Does each developer have her own computer, i.e. there is more than one computer? Then computers is correct. It's possible a group of developers are attending, and that they're bringing just a single computer (perhaps a mainframe). Without context, one cannot tell which is correct.

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  • Thanks for your answer. What if suppose each developer bring at most 1 computer?
    – user96188
    Commented Aug 6, 2019 at 11:57
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    If it's more than one computer you're talking about, not one per person, then use the plural.
    – DrMoishe Pippik
    Commented Aug 6, 2019 at 15:51

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