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Autor:
Linden Anne Duffee
Publikováno v:
Axiomathes. 31:601-617
This essay discusses the instructional value of mathematical proofs using different interpretations of the analysis cum synthesis method in Apollonius’ Conics as a case study. My argument is informed by Descartes’ complaint about ancient geometer
Autor:
Linden Anne Duffee, Kabe Moen
Publikováno v:
Mathematical Inequalities & Applications. :265-286
We examine the harmonic and geometric maximal operators defined for a general basis of open sets in $\R^n$. We prove two weight norm inequalities for the harmonic maximal operator assuming testing conditions over characteristic functions of unions of