W. V. Quine. Definition of substitution. Bulletin of the American Mathematical Society, vol. 42 (1936), pp. 561–569.

1936 ◽  
Vol 1 (3) ◽  
pp. 116-117
Author(s):  
Barkley Rosser
1925 ◽  
Vol 22 (6) ◽  
pp. 924-934 ◽  
Author(s):  
E. C. Francis

Thirty years ago, in a paper on continued fractions, Stieltjes published a definition of the integral which bears his name. His replacement of the variable of integration x by a more general “base function” φ(x)—a change which throws so much light upon other theories of integration—received at first little attention, but has later sprung into greater prominence; so much so that Professor Hildebrandt, in summarizing these various theories in a paper to the American Mathematical Society, makes the statement that “it [the Stieltjes Integral] seems destined to play the central rôle in the integrational and summational processes of the future.” Yet even now the integral and the allied theory of differentiation with respect to a function have been subjected to little detailed analysis, and the possibilities of extension have been only touched upon. It is the object of this present paper to establish certain results which are of some value in themselves and which prepare the way for an attack upon the integral.


1992 ◽  
Vol 76 (476) ◽  
pp. 325-327
Author(s):  
Steve Abbott

2021 ◽  
Vol 126 (5) ◽  
pp. 3853-3870
Author(s):  
Lawrence Smolinsky ◽  
Daniel S. Sage ◽  
Aaron J. Lercher ◽  
Aaron Cao

Science ◽  
1922 ◽  
Vol 55 (1431) ◽  
pp. 600-602
Author(s):  
R. G. D. Richardson

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