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You can't have one maxima in the same way you can't have one pencils. That's just how English works.

• pixl97 3y ago
  You can't have one local maxima, it would be the global maxima. So by saying local maxima you're assuming the local is just a piece of a larger whole, even if that global state is otherwise undefined.
  • reverius42 3y ago
    No, you can’t have one local maxima, or one global maxima, because it’s plural. You can have one local or global maximum, or two (or more) local or global maxima.
  • folli 3y ago
    "You can't have one local pencils, it would be the global pencils"