We consider Fredholm determinants of matrix Hankel operators associated to versions the n-th Airy functions. Using theory integrable operators, we relate them a fully noncommutative Painlevé II hierarchy, defined through matrix-valued version Lenard operators. In particular, Riemann-Hilbert techniques used study these allows find Lax pair for each member hierarchy. Finally, coefficients matrice...

This paper presents a computationally efficient method for the modeling of robot manipulators with flexible links and joints. This approach combines the Discrete Time Transfer Matrix Method with the Finite Segment Method, in which the flexible links are discretized by a number of rigid segments connected by torsion springs; and the flexibility of joints are modeled by torsion springs. The propo...

This is the first attempt of empirical investigation of language mediated concept activation (LMCA) in bilingual memory as a cognitive mechanism facilitating divergent thinking. Russian-English bilingual and Russian monolingual college students were tested on a battery of tests including among others Abbreviated Torrance Tests for Adults assessing divergent thinking traits and translingual prim...

Cognitive flexibility is a central component of executive functions that allow us to behave meaningful in an ever changing environment. Here, we support a distinction between two different types of cognitive flexibility, shifting flexibility and spreading flexibility, based on independent underlying mechanisms commonly subsumed under the ability to shift cognitive sets. We use a homonym related...

Silvina P. Limandri,1,2 Alejo C. Carreras,1,3,* Rita D. Bonetto,1,4 and Jorge C. Trincavelli1,2 1Consejo Nacional de Investigaciones Cientı́ficas y Técnicas, C1033AAJ Buenos Aires, Argentina 2Facultad de Matemática, Astronomı́a y Fı́sica, UNC, 5000 Córdoba, Argentina 3Instituto de Investigaciones en Tecnologı́a Quı́mica, UNSL, CC290–5700 San Luis, Argentina 4Centro de Investigación y Desarrollo en C...

the matrix functions appear in several applications in engineering and sciences. the computation of these functions almost involved complicated theory. thus, improving the concept theoretically seems unavoidable to obtain some new relations and algorithms for evaluating these functions. the aim of this paper is proposing some new reciprocal for the function of block anti diagonal matrices. more...

Matrix multiplication is a computationally-intensive and fundamental matrix operation in many algorithms used in scientific computations. It serves as the basic building block for signal, image processing, graphics and robotic applications. To improve the performance of these applications, a high performance matrix multiplier is required. Traditionally, matrix multiplication operation is either...

— In this paper, an algorithm for construction of multiple sets of two dimensional (2D) or matrix unipolar (optical) orthogonal codes has been proposed. Representations of these 2D codes in difference of positions representation (DoPR) have also been discussed along-with conventional weighted positions representation (WPR) of the code. This paper also proposes less complex methods for calculati...