BACKGROUND Proportions derived from neoclassical canons, initially described by Renaissance sculptors and painters, are still being employed as aesthetic guidelines during the clinical assessment of the facial morphology. OBJECTIVE 1. to determine the applicability of neoclassical canons for Southern Chinese faces and 2. to explore gender differences in relation to the applicability of the ne...

This paper aims at presenting an application of algebraic methods in computer assisted composition. We show how a musical problem of construction of rhythmic canons can be formalized algebraically in two equivalent ways: factorization of cyclic groups and products of polynomials. These methods lead to the classification of some musical canons having the property of tiling the time axis (tiling ...

The concept of rhythmic canons, as it has been introduced by mathematician Dan Vuza in the 1990s, is the art of filling the time axis with some finite rhythmic patterns and their translations, without onsets superposition. The musical notion have been linked with some mathematical results, and since then, its mathematical study has always followed a will of picturing every new results in the vi...

Ranganathan, an Indian mathematician and librarian, has proposed a set of comprehensible canons to provide guidance to the process of building concept hierarchies. It is our proposition that Ranganathans canons can contribute to fulfill the gap between the high-level domain conceptualization guided by top level ontologies and the classification of such concepts within facets, needed when buildi...

Sturmian words are balanced, almost periodic, self-similar and hierarchical infinite sequences that have been studied in music theory in connection with diatonic scale theory and related subjects.[3][5] Carey and Camplitt 1996 give a brief but suggestive rhythmic example in which these properties are made manifest in a particularly visceral manner. The present paper expands upon this example, c...

In this essay, my aim is twofold: to clarify how the late Mill conceived of the certainty of inductive generalizations and to offer a systematic clarification of the limited domain of application of the Mill’s Canons of Induction. I shall argue that Mill’s views on the certainty of knowledge changed overtime and that this change was accompanied by a new view on the certainty of the inductive re...

All physicians are faced at some time with fundamental challenges while striving to respect the principle canons which define a physician's ethical code. These canons are: 1. Primacy of patient interests, 2. Patient confidentiality, 3, Informed consent, and 4. Maintenance of a high standard of care. Athletes, because of their focus on performance, often present unique situations which lead to e...

In his article "Western Canon literature, book series, textbooks used in literary departments, of the situation of Western canons cated process when establishing their roles in particular, by market mechanism ties. He posits that in the age of globali lished between Western literary canons and Chinese readership and scholarship. The publishing ma ket, national policy, and educational institutio...

This paper aims at discussing the polynomial approach to the problem of tiling the (musical) time axis with translates of one tile. This mathematical construction naturally leads to a new family of rhythmic tiling canons having the property of being generated by cyclotomic polynomials (tiling cyclotomic canons).