scholarly journals Series with Commuting Terms in Topologized Semigroups

Axioms ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 237
Author(s):  
Alberto Castejón ◽  
Eusebio Corbacho ◽  
Vaja Tarieladze

We show that the following general version of the Riemann–Dirichlet theorem is true: if every rearrangement of a series with pairwise commuting terms in a Hausdorff topologized semigroup converges, then its sum range is a singleton.

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Steven N. S. Cheung

AbstractThis paper first presents a historical account of the origin of the Coase Theorem. It then elaborates its significance in explaining the working of economic institutions. After expounding the concepts of transaction cost and rent dissipation, it points out an error in the Coase Theorem. Lastly, the paper propounds the Theorem of Transaction Costs Substitution as an extended and general version of the Coase Theorem.


1963 ◽  
Vol 34 (2) ◽  
pp. 668-671 ◽  
Author(s):  
Richard Isaac
Keyword(s):  

10.37236/2014 ◽  
2011 ◽  
Vol 18 (2) ◽  
Author(s):  
Helmut Prodinger

For the $q$-tangent function introduced by Foata and Han (this volume) we provide the continued fraction expansion, by creative guessing and a routine verification. Then an even more recent $q$-tangent function due to Cieslinski is also expanded. Lastly, a general version is considered that contains both versions as special cases.


2006 ◽  
Vol 23 (2) ◽  
pp. 341-348 ◽  
Author(s):  
Josef Diblík ◽  
Irena Růžičková ◽  
Miroslava Růžičková

Author(s):  
Jason Marsh

This chapter examines a common objection to the philosophy of religion, namely, that it has not sufficiently embraced the injunction of Socrates to follow the argument where it leads. Although a general version of this charge is unfair, one emerging view in the field, which I call religious Mooreanism, nonetheless risks running contrary to the Socratic injunction. According to this view, many people can quickly, easily, and reasonably deflect all known philosophical challenges to their core religious outlooks, including arguments from evil. This chapter argues that, in addition to being in tension with the Socratic injunction, religious Mooreanism is less plausible than traditional Mooreanism and in any case has not been adequately defended.


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