we say that a finite group $g$ is conjugacy expansive if for anynormal subset $s$ and any conjugacy class $c$ of $g$ the normalset $sc$ consists of at least as many conjugacy classes of $g$ as$s$ does. halasi, mar'oti, sidki, bezerra have shown that a groupis conjugacy expansive if and only if it is a direct product ofconjugacy expansive simple or abelian groups.by considering a character analo...

We describe a project designed to use the power of online virtual worlds as a place of camaraderie and healing for returning United States military veterans–a virtual space that can help them deal with problems related to their time of service and also assist in their reintegration into society. This veterans’ space is being built in Second Life ® , a popular immersive world, under consultation...

This paper presents a cryptographic technique that encrypts secret information using a coding image by transforming the pixels of this image from the intensity domain to the characters domain using a hash function. In the proposed technique, the coding image will be used to encrypt the secret information at the sender and decrypt it at the receiver using the pixels whose intensity values are tr...

The concept of function permeates most branches of modern mathematics: from analysis, algebra and logic to probability and mathematical physics. However, the set-theoretic conception of function as a particular mathematical object (specifically, as a set of ordered pairs satisfying conditions of totality and single valuedness) was a long time in development. Indeed, historians generally cite th...

Example 1.1. A field homomorphism K → F is a character by restricting it to the nonzero elements of K (that is, using G = K×) and ignoring the additive aspect of a field homomorphism. In particular, when L/K is a field extension any element of Aut(L/K) is a field homomorphism L→ L and therefore is a character of L× with values in L×. Example 1.2. For any α ∈ F×, the map Z→ F× by k 7→ αk is a ch...

In this paper, a radical-based OCR system for the recognition of handwritten Chinese characters is proposed. In our approach, a recursive hierarchical scheme is developed to perform radical extraction "rst. Character features and radical features are then extracted for matching. Last, a hierarchical radical matching scheme is devised to identify the radicals embedded in an input Chinese charact...

the aim of this note is to characterize the finite groups in which all non-linear irreducible characters have distinct zero entries number.

With respect to genuine cognitive faculties, present synthetic characters inhabiting online virtual worlds are, to say the least, completely impaired. Current methods aimed at the creation of “immersive” virtual worlds only avatars and NPCs the illusion of mentality and, as such, will ultimately fail. Like behaviorism, this doomed approach focuses only on the inputs and outputs of virtual chara...