There was a demand for a huge number of manual calculations to create tables - many of them for navigational purposes - where similar calculations needed to be repeated many times.
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John J. Nash died in 1989.
"Immediately" is the adverb.
The function of a noun that follows a transitive verb is the direct object or indirect object. For example: John gave flowers to Mary. (the noun flowers is the direct object) John gave Mary some flowers. (the noun Mary is the indirect object)
See the link to conditional statements. "Could have done" is the positive form of a past conditional.It is unfortunate that John was not given the assignment; he could have done it extremely well.The positive aspect of the verb is that John is capableof doing it. The negative form would be ...he couldn't have done it. The situation described happened in the past and is not in the present or future. The conditional aspect is reflected in the fact that he was either given the assignment, or he was not. In this case he was not. Even though we know now that John was not given the assignment, we express events conditionally to reflect the possibility as it existed in the past.
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