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...

In this paper, we connect rectangular free probability theory and spherical integrals. In this way, we prove the analogue, for rectangular or square non symmetric real matrices, of a result that Guionnet and Mäıda proved for symmetric matrices in [GM05]. More specifically, we study the limit, as n,m tend to infinity, of 1 n logE{exp[nmθXn]}, where Xn is an entry of UnMnVm, θ ∈ R, Mn is a certai...

to detection of suitable sampling method to study tree canopy cover in the northern zagros forest, baneeh region forest, kurdistan province, and west of iran was selected. 40 square sample plots one hectare (100×100 m) were selected and perfect inventoried. in every sample plot the position of tree, kind of species and two diameter of crown (m) were recorded. to study of canopy cover different ...

A rectangular layout is a partition of a rectangle into a finite set of interior-disjoint rectangles. These layouts are used as rectangular cartograms in cartography, as floorplans in building architecture and VLSI design, and as graph drawings. Often areas are associated with the rectangles of a rectangular layout and it is desirable for one rectangular layout to represent several area assignm...

the rectangular broad crested weirs are widely used to measure the water dischargewhich is one of the most popular tools in the irrigation canals particularly, in developingcountries.the present article is trying to demonstrate the results of an experimental work carriedout on rectangular broad crested weir with sloped upstream face to investigate the effect ofupstream slope on discharge effici...