PROPAEDEUTIC TO 

 SCIENCE {FUNCTION} ANALYSIS 



Resolution of all cases of the hitherto unrecognized gen 

 eral problem, variable coefficient=function. 



coefficient 



rmag. 



variable 



( individual 

 real &amp;lt; general 

 (. universal 



function 



coefficient 

 EXPLANATION 



The imagined vanishing of any real variable x leads to 

 the invention or discovery of any imaginary variable 

 conveniently read blank. Any imaginary variable and 



any real variable x are evidently functions which determine 

 the rule function in the same manner as imaginary and real 

 determine the rule variable, that is, universally through the 

 sequence whether of the singular and the general case, or 

 of the only two &quot; different successive values&quot; that can ever be 

 recognized as original and necessary under the classic math 

 ematical definition of the rule. Consequently the apposition 

 of the successive moments of the one determination to the 

 corresponding moments of the other, not directly but through 

 their common apposition to only an empty compartment 

 marked coefficient 



coefficient 



Cimag. 



variable &amp;lt; V function 



(real 



coefficient 



constitutes a differential equation the integration of which 

 by means of the logical determination of imaginary and real 

 is necessary and sufficient to resolve all cases of the general 



