6 citations · 17 across the 14 of their papers we have counts for
Showing 2006Show all
3 papers · 1 filter
math.CO2006★ 2 cited
Parity-Alternate Permutations and Signed Eulerian Numbers
Shinji Tanimoto
In order to study signed Eulerian numbers, we introduce permutations of a particular type, called parity-alternate permutations, because they take even and odd entries alternately.…
physics.gen-ph2006
Dimensional Analysis and Physical Laws
Shinji Tanimoto
Dimensional analysis provides many simple and useful tools for various situations in science. The objective of this paper is to investigate its relations to functions, i.e., the di…
math.CO2006
A New Approach to Signed Eulerian Numbers
Shinji Tanimoto
The numbers of even and odd permutations with a given ascent number are investigated using an operator that was previously introduced by the author. Their difference is called a si…