The Schröder staircase: A new perspective

Comparative psychology, a new perspective for the 21st century: up the spiral staircase.

This article responds to the continuing obituaries for Comparative Psychology. We understand the field to be a general psychology, a way of understanding the origins of all behavior of all species. We outline a methodological and conceptual foundation for comparative psychology to enter the new millennium-with an anagenetic and dynamic systems perspective. We see an important role to be played ...

A New Staircase Separator Theorem ? Viet

The notion of staircase separator, introduced in 2], greatly facilitates the design of divide-and-conquer algorithms for problems on rectangles. We generalize the concept of staircase separator to k-perfect staircase separator, namely a set of staircase separators which partitions a set S of n axis-parallel, disjoint rectangles into k subsets of (almost) equal size. We derive an optimal O(log n...

The Generalized Schröder Theory

While the standard Catalan and Schröder theories both have been extensively studied, people have only begun to investigate higher dimensional versions of the Catalan number (see, say, the 1991 paper of Hilton and Pedersen, and the 1996 paper of Garsia and Haiman). In this paper, we study a yet more general case, the higher dimensional Schröder theory. We define m-Schröder paths, find the number...

A new perspective on the determinants of the concept of aging: a letter to the editor

The Algebra of Logic : Schröder

The monument to the work initiated by Boole, the algebraization of logic, is the three volumes Algebra der Logik by Schröder (1841–1902), which appeared in the years 1890–1910, filling over 2,000 pages. Although the spirit of the subject came from the work of Boole and De Morgan, Schröder's volumes are really a tribute to the work of C.S. Peirce, along with Schröder's contributions. In addition...