New algorithm for evaluating a point on a Bézier curve and on a rational Bézier curve is given. The method has a geometric interpretation and a convex hull property. The computational complexity of the new algorithm is linear with respect to the degree of the considered curve, and its memory complexity is O(1).

one of the most important targets in alzheimer disease is beta site amyloid precursor protein cleaving enzyme-1 (bace-1). it is a membrane associated protein and is one of the main enzymes responsible for amyloid β (aβ) production. up to now, a considerable number of peptidic and non-peptidic inhibitors of bace-1 have been developed. recently, small molecule bace-1 inhibitors have attracted the...

Modeling and simulation provides a convenient way for evaluating operability of designed systems (e.g., Network-onChip) in their desired target environments. Where applicable, real-time modeling with real-time simulation extends logicaltime M&S capabilities by evaluating the degree to which system requirements can be satisfied in actual operational scenarios. Simulations can be directly observe...

In this work we present a fast, content-adaptive approach for three-dimensional (3D) mesh representation of volumetric images. A rigorous error bound is derived for a 3D mesh representation of a volumetric image based on the theory of function interpolation. From this result, a computationally efficient algorithm is proposed for adaptive placement of mesh nodes (hence mesh elements) in the 3D i...

In order to keep up with the advances in nano-fabrication, alternative, cost-efficient lithography techniques need to be implemented. Two of the most promising are nanoimprint lithography (NIL) and stencil lithography. We explore here the possibility of fabricating the stamp using stencil lithography, which has the potential for a cost reduction in some fabrication facilities. We show that the ...

This paper presents a method for reducing the computational complexity required for farfield broadband beamforming. First, the propagating wave received by a linear or planar array of sensors is sampled efficiently on the multidimensional frequency plane in spatio-temporal sense so that the so-called non-physical area where no spectrum exists is filled with aliasing component. Next, the derived...

This paper considers a new switched reluctance motor (SRM) structure aiming at high starting torque with low volume. For some applications such as EVs (Electrical Vehicles), the motor volume and starting torque is a critical point in its design. In many methods, reducing the motor volume causes reduction in starting torque and decreases the motor efficiency. Unlike conventional SRMs, the rotor ...

in descriptive statistics, there are two computational algorithms for determining the variance s2, of a set of observations : algorithm 1: s2= - , algorithm 2: s2= , where . it is interesting to discuss, which of the above formulas is numerically more trustworthy in machine numbers sets. i this paper, based on total effect of rounding error, we prove that the second algorithm is better than ...

The problem of building an `0-sampler is to sample nearuniformly from the support set of a dynamic multiset. This problem has a variety of applications within data analysis, computational geometry and graph algorithms. In this paper, we abstract a set of steps for building an `0-sampler, based on sampling, recovery and selection. We analyze the implementation of an `0-sampler within this framew...

Estimating the number of competing terminals n (who wish to transmit a packet at the same time) in the IEEE 802.11 system is important for system throughput performance because optimal back-off window size needs to be selected based on n. Therefore, as a new approach for estimating n, we propose H infinity filter that does not need a state variation detector as opposed to the cases of previousl...