Positive Fuss–Catalan Numbers and Simple-Minded Systems in Negative Calabi–Yau Categories

On Being Simple Minded

1. ON HAVING A MIND How simple minded can you be? Many philosophers would answer: no more simple than a language-using human being. Many other philosophers, and most cognitive scientists, would allow that mammals, and perhaps birds, possess minds. But few have gone to the extreme of believing that very simple organisms, such as insects, can be genuinely minded. This is the ground that the prese...

A new parametric method for ranking fuzzy numbers based on positive and negative ideal solutions

Confluent Parry numbers, their spectra, and integers in positive- and negative-base number systems

In this paper we study the expansions of real numbers in positive and negative real base as introduced by Rényi, and Ito & Sadahiro, respectively. In particular, we compare the sets Z+β and Z−β of nonnegative β-integers and (−β)-integers. We describe all bases (±β) for which Z+β and Z−β can be coded by infinite words which are fixed points of conjugated morphisms, and consequently have the same...

Positive and negative circuits in dynamical systems

We state precisely and demonstrate two conjectures of R. Thomas following which a) the existence of a positive circuit in the oriented interaction graph of a diierential system is a necessary condition for the existence of several steady states, and b) the existence of a negative non-oriented circuit of length at least two is a necessary condition for the existence of a stable periodic orbit.

Lateral asymmetry: hard or simple-minded?

A letter or a three-dimensional shape was presented in the center of the visual field. Following the off-set of this stimulus either a comparison letter or a three-dimensional shape was flashed briefly in either the right or left visual field. The subject's task was to respond SAME, or DIFFERENT. The stimuli could be in the same plane, rotated in two dimensions (letters) or in three dimensions ...