a common method to determine the order of minimal realization of a continuous linear time invariant descriptor system is to decompose it into slow and fast subsystems using the weierstrass canonical form. the weierstrass decomposition should be avoided because it is generally an ill-conditioned problem that requires many complex calculations especially for high-dimensional systems. the present ...

We present a novel quantitative model for the generation of articulatory trajectories based on the concept of sequential target approximation. The model was applied for the detailed reproduction of movements in repeated consonant-vowel syllables measured by electromagnetic articulography (EMA). The trajectories for the constrictor (lower lip, tongue tip, or tongue dorsum) and the jaw were repro...

‎this contribution mainly focuses on some aspects of lipschitz groups‎, ‎i.e.‎, ‎metrizable groups with lipschitz multiplication and inversion map‎. ‎in the main result it is proved that metric groups‎, ‎with a translation-invariant metric‎, ‎may be characterized as particular group objects in the category of metric spaces and lipschitz maps‎. ‎moreover‎, ‎up to an adjustment of the metric‎, ‎a...

a module is said to be $pi$-extending provided that every projection invariant submodule is essential in a direct summand of the module. in this paper, we focus on direct summands and indecomposable decompositions of $pi$-extending modules. to this end, we provide several counter examples including the tangent bundles of complex spheres of dimensions bigger than or equal to 5 and certain hyper ...

A bstract We study the ? -invariant of a Dirac operator on manifold with boundary subject to local conditions help heat kernel methods. In even dimensions, we relate this invariant -invariants operator, while in odd dimension, it is expressed through index operators. stress necessity strong ellipticity condition for applicability our show that Witten-Yonekura are not strongly elliptic, though t...

OBJECTIVES This study examined the construct and criterion validity of the Mindful Attention Awareness Scale (MAAS) in cancer outpatients, using matched community members as controls. METHODS Cancer outpatients (n=122) applying for enrollment in a mindfulness-based stress reduction (MBSR) program completed the MAAS and measures of mood disturbance and stress. Local community members (n=122) m...

bifurcations leading to chaos have been investigated in a number of one dimensional dynamical systems by varying the parameters incorporated within the systems. the property hyperbolicity has been studied in detail in each case which has significant characteristic behaviours for regular and chaotic evolutions. in the process, the calculations for invariant set have also been carried out. a bro...

let g_1 and g_2 be simple connected graphs with disjoint vertex sets v(g_1) and v(g_2), respectively. for given vertices a_1in v(g_1) and a_2in v(g_2), a splice of g_1 and g_2 by vertices a_1 and a_2 is defined by identifying the vertices a_1 and a_2 in the :union: of g_1 and g_2. in this paper, we present exact formulas for computing some vertex-degree-based graph invariants of splice of graphs.