A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. In this article, we show that the MacMahon symmetric functions are the generating functions for the orbits of sets of functions indexed by partitions under the diagonal action of a Young subgroup of a symmetric group. We define a MacMahon chr...

1School of Psychology and Exercise Science, Murdoch University, 90 South Street, Murdoch, Western Australia, 6150, AUS 2Centre for Exercise and Sport Science Research; School of Medical and Health Sciences, Edith Cowan University, 270 Joondalup Drive, Joondalup, Western Australia, 6027, AUS 3School of Physiotherapy and Exercise Science, Curtin University, Kent Street, Bentley, Western Australia...

All of the automorphisms of the Fibonacci poset Z (r ) are determined (r ∈ N). A problem of Richard P. Stanley from 1988 is thereby solved.

A distributive lattice L with 0 is finitary if every interval is finite. A function f : N0 ! N0 is a cover function for L if every element with n lower covers has f ðnÞ upper covers. All non-decreasing cover functions have been characterized by the author ([2]), settling a 1975 conjecture of Richard P. Stanley. In this paper, all finitary distributive lattices with cover functions are character...

Abstract This paper argues that the operative force in Luke’s parable of The Rich Fool is negativity. Moreover, negativity as common Lukan parables status reversals. As warns against securing future, this reads Lee Edelman’s No Future: Queer Theory and Death Drive to show how negativity, towards reproductive futurism particular, activates pessimism. pessimism grounded crucifixion not resolved r...

Zhenyu Yan, Sergey V. Buldyrev, Pradeep Kumar, Nicolas Giovambattista, Pablo G. Debenedetti and H. Eugene Stanley Center for Polymer Studies and Department of Physics, Boston University, Boston MA 02215, USA Department of Physics, Yeshiva University, 500 West 185th Street, New York, NY 10033 USA Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08544-5263 USA (Date...