28,123 research outputs found
Endomorphism Rings and Isogenies Classes for Drinfeld Modules of Rank 2 Over Finite Fields
Let be a Drinfeld -module of rank 2, over a finite
field , a finite extension of degrees of a finite field with
elements . Let be the extension degrees of over the
field , is the -characteristic of
, and the degree of the polynomial . We will discuss about a many
analogies points with elliptic curves. We start by the endomorphism ring of a
Drinfeld -module of rank 2, End, and we specify
the maximality conditions and non maximality conditions as a
-order in the ring of division End, in the next point we will interested
to the characteristic polynomial of a Drinfeld module of rank 2 and used it to
calculate the number of isogeny classes for such module, at last we will
interested to the Characteristic of Euler-Poincare and we will
calculated the cardinal of this ideals.Comment: 1
Facial expressions emotional recognition with NAO robot
Human-robot interaction research is diverse and covers a wide range of topics. All aspects of human factors and robotics are within the purview of HRI research so far as they provide insight into how to improve our understanding in developing effective tools, protocols, and systems to enhance HRI. For example, a significant research effort is being devoted to designing human-robot interface that makes it easier for the people to interact with robots. HRI is an extremely active research field where new and important work is being published at a fast pace.
It is crucial for humanoid robots to understand the emotions of people for efficient human robot interaction. Initially, the robot detects human face by Viola- Jones technique. Later, facial distance measurements are accumulated by geometric based facial distance measurement method. Then facial action coding system is used to detect movements of measured facial points. Finally, measured facial movements are evaluated to get instant emotional properties of human face in this research; it has been specifically applied to NAO humanoid robot
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