We characterize asymptotic collective behavior of rectangular random matrices, the sizes of which tend to infinity at different rates. It appears that one can compute the limits of all non commutative moments (thus all spectral properties) of the random matrices we consider because, when embedded in a space of larger square matrices, independent rectangular random matrices are asymptotically fr...

2. MAIN RESULTS In this paper, subdivision methods for rectangular Bézier A rectangular Bézier surface of degree n 3 m can be surfaces are generalized to subdivide a rectangular Bézier surface patch of degree n 3 m into two rectangular Bézier surrepresented by face patches of degree n 3 (m 1 n), while the parameter domain of the Bézier surface is decomposed into two trapezoids. As an applicatio...

We introduce a new class of game forms called effectively rectangular game forms. An effectively rectangular game form is one that has the same effectivity function as some rectangular game form. Actually we extend this class a little more: we define a superdeterminate game form as one that has an effectivity function which is finer than that of a rectangular game form. We prove that a tightly ...

We characterize asymptotic collective behavior of rectangular random matrices, the sizes of which tend to infinity at different rates. It appears that one can compute the limits of all noncommutative moments (thus all spectral properties) of the random matrices we consider because, when embedded in a space of larger square matrices, independent rectangular random matrices are asymptotically fre...

Amaranth dye is an organic compound largely used in the food and beverage industries with potential toxicity effects on humans. In this paper, a new electrochemical sensor for determination of amaranth foods was reported, where kind V2O5 nanoplate (V2O5-NPs) employed as electrode modifying materials. The modified enhanced its signal obviously exhibited wider linear response ranging from 0.1-270...

In this paper, we first study the material stability of nanostructured materials via the continuum linearized stability analysis technique with the temperature-related Cauchy–Born (TCB) rule. As a temperature-related homogenization technique, the TCB rule considers the free energy instead of the potential so that temperature effects on material stability can be investigated. In addition, we dev...