Let Γ be a group, and let F be a finite set of elements of Γ. By a word over F we mean a formal product of elements of F and their inverses. Every word over F determines an element of the group Γ, simply using the group operations. The “empty word” is considered a word over F , which corresponds to the identity element of Γ. If z is a word over F , then the length of z is denoted L(z) and is th...

Psychologists have been studying identity processes at the intrapsychic level that resemble what sociologists have noted at the macro-societal level. Specifically, using the identity capital model introduced in previous issues of this journal (Côté, Journal of Adolescence, 19, 419-430; 20, 421-437), we explore a link between the psychologically oriented identity status paradigm, and the sociolo...

Let M be a triangulable compact manifold. We prove that, among closed subgroups of Homeo0(M) (the identity component of the group of homeomorphisms of M), the subgroup consisting of volume preserving elements is maximal. AMS classification. 57S05 (57M60, 37E30).

This paper discuses the social research and health care planning systems of South Asia. Also, the Author attempts to indicate the scope and nature of this work done in this territory to identity elements relevant to health care planning.

We call a loop universally noncommutative if it does not have a loop isotope in which two non-identity elements commute. Finite universally noncommutative loops are equivalent to latin squares that avoid the configuration:

Recall from previous lectures the definitions of functionality and transport. Functionality states that functions preserve identity; that is, domain elements equal in their type map to equal elements in the codomain. Transportation states the same for type families. Traditionally, this means that if a =A a′, then B[a] true iff B[a′] true. In proof-relevant mathematics, this logical equivalence ...

This paper addresses three main areas and develops a conceptual framework for identity fraud profiling. First, we identify the main contemporary profiling methods that are crime and/or business based. Second, accepting the current information systems (IS) facilitated attack channels and methods used by identity crime perpetrators (Jamieson & Stephens & Winchester 2007), we investigate how to be...

The Rhs family of composite genetic elements was assessed for variation among independent Escherichia coli strains of the ECOR reference collection. The location and content of the RhsA-B-C-F subfamily correlates highly with the clonal structure of the ECOR collection. This correlation exists at several levels: the presence of Rhs core homology in the strain, the location of the Rhs elements pr...