260 



FOURIER'S SERIES. 



I think this distinction important, for (with exception of what 

 relates to my unfortunate blunder described above) whatever differ- 

 ences of opinion have been expressed on this subject seem due, for the 

 most part, to the fact that some writers have had in mind the limit 

 of the graphs, and others the graph of the limit of the sum. A mis- 

 understanding on this point is a natural consequence of the usage 

 which allows us to omit the word limit in certain connections, as 

 when we speak of the sum of an infinite series. In terms thus 

 abbreviated, either of the things which I have sought to distinguish 

 may be called the graph of the sum of the infinite series. 



J. WILLARD GIBBS. 

 New Haven, April 12 [1899]. 



