A Picone type identity is established for homogeneous differential operators involving the pseudo p-Laplacian with variable exponent p = p(x). Using this identity, it is shown that the classical Sturmian theory extends to the associated partial differential equations.

An interpretive case study was conducted to examine how team members construct their identities and manage cultural differences in globally distributed information technology work. Research investigating globally distributed information technology work acknowledges the influence of culture on team members and their work activities, but issues of team members’ individual identity and agency are ...

Rogers-Ramanujan type partition identities establish equalities between certain types of partitions with difference conditions and partitions whose generating functions is an infinite product. Since the 1980’s, many connections between representations of Lie algebras and RogersRamanujan type partition identities have emerged. Lepowsky and Wilson [6] were the first to establish this link by givi...

For W a finite Coxeter group, a formula is found for the size of W equivalence classes of subsets of a base. The proof is a case-by-case analysis using results and tables of Orlik and Solomon. As a corollary we obtain an alternating sum identity which generalizes a well-known identity from the theory of Coxeter groups.

Defending Robert Rosen's claim that in every confrontation between physics and biology it is physics that has always had to give ground, it is shown that many of the most important advances in mathematics and physics over the last two centuries have followed from Schelling's demand for a new physics that could make the emergence of life intelligible. Consequently, while reductionism prevails in...

We address the problem of musical variation (identification of different musical sequences as variations) and its implications for menial representations of music. According to reductionist theories, listeners judge the structural importance of musical events while forming mental representations. These iudgments moy result from the production of reduced memory representations that retain only t...

We address the problem of musical variation (identification of different musical sequences as variations) and its implications for menial representations of music. According to reductionist theories, listeners judge the structural importance of musical events while forming mental representations. These iudgments moy result from the production of reduced memory representations that retain only t...

We address the problem of musical variation (identification of different musical sequences as variations) and its implications for mental representations of music. According to reductionist theories, listeners judge the structural importance of musical events while forming mental representations. These judgments may result from the production of reduced memory representations that retain only t...