Observations on van Dyck as a Religious Painter

Occupational Exposure as a Painter

Paint is a suspension of finely divided pigment particles in a liquid composed of a binder (resin), a volatile solvent or water, and additives that impart special characteristics. The volatile components evaporate from the drying film after application, while the binder holds the pigment in the dry film, causing it to adhere to the substrate. Some high quality, hard gloss paints are referred to...

Occupational Exposure as a Painter –43– Occupational Exposure as a Painter

On Generalized Dyck Paths

We generalize the elegant bijective proof of the Chung Feller theorem from the paper of Young-Ming Chen [The Chung-Feller theorem revisited, Disc. Math. 308 (2008), 1328–1329].

How a painter paints

Drawing from the seminal definition of the principles of abstract art posed by Wassily Kandinsky in the early years of the twentieth century, and contextualizing that knowledge in contemporary cognitive metaphor theory (Lakoff & Johnson, 1999), the study attempts to arrive at an understanding of how cognitive structure emerges in pragmatic self-observation during the artistic process. Through a...

A bijection on bilateral Dyck paths

It is known that both the number of Dyck paths with 2n steps and k peaks, and the number of Dyck paths with 2n steps and k steps at odd height, follow the Narayana distribution. In this paper we present a bijection which explicitly illustrates this equinumeracy. Moreover, we extend this bijection to bilateral Dyck paths. The restriction to Dyck paths preserves the number of contacts.