In this paper, we give explicit construction of multiwavelets on polygonal region in R 2 that is associated with a nested triangular tessellation. Two di erent constructions will be presented. The rst construction is very similar to Alpert's construction in [3], but unlike the latter 1-D construction, in which case symmetry of basis functions comes in almost automatically, the multiwavelets fro...

We are describing the stable nonautonomous planar dynamic systems with complex coefficients by using the asymptotic solutions (phase functions) of the characteristic (Riccati) equation. In the case of nonautonomous dynamic systems, this approach is more accurate than the eigenvalue method. We are giving a new construction of the energy (Lyapunov) function via phase functions. Using this energy,...

A new charge-based current model for CMOS gates is presented in this paper. The current during a transition consists of three components : one occurs when the input changes and the others ezist only when the output changes. So, this model can generate current waveform with negative values, like SPICE. These three components are characterized b y triangular functions with four parameters which c...

A gravity model for trip distribution describes the number of trips between two zones, as a product of three factors, one of the factors is separation or deterrence factor. The deterrence factor is usually a decreasing function of the generalized cost of traveling between the zones, where generalized cost is usually some combination of the travel, the distance traveled, and the actual monetary ...

In this paper we describe and analyze a class of nonlinear multiresolution schemes for the multiresolution setting which corresponds to discretization by local averages with respect to the hat function. These schemes are based on the essentially-non-oscillatory (ENO) interpolatory procedure described in [A. Harten, B. Engquist, S. Osher, and S. Chakravarthy, J. Comput. Phys., 71 (1987), pp. 231...

In this paper the degree of approximation function f, which is periodic with respect to hexagon lattice by matrix means T(A)n(f) its hexagonal Fourier series in generalized H?lder metric, where A a lower triangular infinite nonnegative real numbers nonincreasing row estimated.

We consider a classical linear conjugation problem for analytic vector-valued functions on piecewise smooth curve with triangular matrix coefficient in weighted H¨older spaces. In the twodimensional case, conditions existence of solution are found, this is given, and construction canonical function analyzed detail.

In this paper, some elementary operations on triangular fuzzynumbers (TFNs) are defined. We also define some operations on triangularfuzzy matrices (TFMs) such as trace and triangular fuzzy determinant(TFD). Using elementary operations, some important properties of TFMs arepresented. The concept of adjoints on TFM is discussed and some of theirproperties are. Some special types of TFMs (e.g. pu...

in this paper an efficient three- stage algorithm is developed for software production cost and time estimation. first stage includes a hybrid model composed of cocomo and function points methods to increase estimation accuracy. second stage encompasses paired comparisons matrix of analytical hierarchy process to determine amount of any resources consumed in each step of software production by ...