Most of my strategies include a science city. Two must have wonders in a science city are Copernicus Observatory and Issac Newton College. That these two help science output immensely is well known. How they do so is not since the Civilopedia entry on both is just wrong.
After searching the forum some and not finding anything I ran a battery of experiments to discover the details and here are the results.
To present the results properly first I need to discuss the effect of regular city improvements on science.
Assume
a = number of the arrows generated by your city that are used for science
s = number of scientists employed in your city
L = 0 if the city has no library, 1 if it does
U = 0 if the city has no university, 1 if it does
R = 0 if the city has no research lab, 1 if it does
Then the total science output of the city without any of the above wonders is:
(a+3*s)*(2+L+U+R)/2
Newton
According to Civilopedia it doubles the city's science output which is wrong. What it does is that it doubles the effects of the city's library, university, and the research lab. Thus the total science output of the city with Newton but without Copernicus is:
(a+3*s)*(1+L+U+R)
(Interesting observation: without any L, U, or R in the city Newton has no effect.)
Copernicus
According to Civilopedia it increases the city's science output by 50% which is wrong. What it does is that it doubles the science ouput of the city after the effects of regular city improvements and Newton are taken into account. Thus the total science output of the city without Newton but with Copernicus is:
(a+3*s)*(2+L+U+R)
And the total science output of the city with both Newton and Copernicus is:
(a+3*s)*(1+L+U+R)*2
After searching the forum some and not finding anything I ran a battery of experiments to discover the details and here are the results.
To present the results properly first I need to discuss the effect of regular city improvements on science.
Assume
a = number of the arrows generated by your city that are used for science
s = number of scientists employed in your city
L = 0 if the city has no library, 1 if it does
U = 0 if the city has no university, 1 if it does
R = 0 if the city has no research lab, 1 if it does
Then the total science output of the city without any of the above wonders is:
(a+3*s)*(2+L+U+R)/2
Newton
According to Civilopedia it doubles the city's science output which is wrong. What it does is that it doubles the effects of the city's library, university, and the research lab. Thus the total science output of the city with Newton but without Copernicus is:
(a+3*s)*(1+L+U+R)
(Interesting observation: without any L, U, or R in the city Newton has no effect.)
Copernicus
According to Civilopedia it increases the city's science output by 50% which is wrong. What it does is that it doubles the science ouput of the city after the effects of regular city improvements and Newton are taken into account. Thus the total science output of the city without Newton but with Copernicus is:
(a+3*s)*(2+L+U+R)
And the total science output of the city with both Newton and Copernicus is:
(a+3*s)*(1+L+U+R)*2