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Raion
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You lose science by taking a citizen and changing it to a scientist, so with guessing I guess that the minus rate = the plus rate, right now. Depends on city and other factors - some cities have more science to begin with than others - other factors may be the era you are in and buildings you have constructed, so far in a city or cities.
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heidlejohn
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Scientists work differently in Civ3 than in Civ2. They contribute just one beaker to the research effort and do NOT use the building multipliers like they did in Civ2. I usually use tax collectors instead of scientists for this reason (they give one gold).
The other problem is that the city display does not tell you the effect of specialists in that city. They are only totaled for the overall science or tax effort.
You are generally better off just keeping the people working hexes rather than making them specialists. For example, you might have excess food cumulating until you build an aquaduct and can expand. Keeping a citizen working a hex will give you a combination of two or more trade or shields, but a scientist or tax collector will only give you one.
The only exception to this would be in very distant cities where corruption is all but impossible to change. After food needs are met and population growth is max, you could use excess citizens as tax collectors to get a few more coins.
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