It is possible (as in [4] ) to define a duality operation f —• f * in the ring of virtual characters of an arbitrary finite group with a split (B, 7V)-pair of characteristic p. Such a group arises as the fixed points under a Frobenius map of a connected reductive algebraic group, defined over a finite field [1]. This paper contains statements of several general properties of the duality map f —...

Many games and simulations utilize modularized low-level code to move characters about in an environment. This requires extensive technical skill to translate basic high-level actions, as well as extensive time to write code, which includes very detailed instructions on what and when actions will occur across all agents. Other options exist such as mocap files; however, most are not highly dyna...

With the increasing use of virtual characters in virtual and mixed reality settings, the coordination of realism in audiovisual rendering and expressive virtual characters becomes a key issue. In this paper we introduce a new system combining two systems for tackling the issue of realism and high quality in audiovisual rendering and life-sized expressive characters. The goal of the resulting SM...

This paper proposes an innovative approach to represent the Pictogram Chinese Characters. The advantage of this representation is using an extraordinary representation to represent the pictogram Chinese character. This extraordinary representation is created accordingly to the original pictogram Chinese characters revolution or transition. The purpose of this innovative creation is to assist th...

The notion of depth is defined by Moy-Prasad [MP2]. The notion of a generic character will be defined in §9. When G = GLn or G is the multiplicative group of a central division algebra of dimension n with (n, p) = 1, our generic characters are just the generic characters in [My] (where the definition is due to Kutzko). Moreover, in these cases, our construction literally specializes to Howe’s c...

Hecke’s theory is concerned with a family of finite-dimensional vector spaces Sk(N,χ), indexed by weights, levels, and characters. The Hecke operators on such spaces already provide a very rich theory. It will be very advantageous to pass to the adelic setting, however, for the same reasons that Hecke characters on number fields should be studied in the adelic setting (rather than as homomorphi...

Chinese characters can be compared to a molecular structure: a character is analogous to a molecule, radicals are like atoms, calligraphic strokes correspond to elementary particles, and when characters form compounds, they are like molecular structures. In chemistry the conjunction of all of these structural levels produces what we perceive as matter. In language, the conjunction of strokes, r...

We are creating an environment for investigating the role of advanced AI in interactive, story-based computer games. This environment is based on the Unreal Tournament (UT) game engine and the Soar AI engine. Unreal provides a 3D virtual environment, while Soar provides a flexible architecture for developing complex AI characters. This paper describes our progress to date, starting with our gam...

Systematists expect their hypotheses to be asymptotically precise. As the number of phylogenetically informative characters for a set of taxa increases, the relationships implied should stabilize on some topology. If true, this increasing stability should clearly manifest itself if an index of congruence is plotted against the accumulating number of characters. Continuous jackknife function (CJ...

It is commonly recognized that a key challenge of urban military operations is the complex terrain. However, the large number and diversity of people present another less recognized but critical challenge, especially for noncombat operations. Warfighters must understand the socio-cultural effects of their actions, handle direct interaction with non-combatants (and potential combatants), and und...