The purpose of this study is to improve the aerodynamic performance of wind turbine blades, using the Ball-Spine inverse design method. The inverse design goal is to calculate a geometry corresponds to a given pressure distribution on its boundaries. By calculating the difference between the current and target pressure distributions, geometric boundaries are modified so that the pressure di...

Square-related functions such as square, inverse square, square-root and inverse square-root operations are widely used in digital signal processing and digital communication algorithms, and their efficient realizations are commonly required to reduce the hardware complexity. In the implementation point of view, approximate realizations are often desired if they do not degrade performance signi...

The terms Fast Fourier Transform (FFT) and Inverse Fast Fourier Transform (IFFT) are used to denote efficient and fast algorithms to compute the Discrete Fourier Transform (DFT) and the Inverse Discrete Fourier Transform (IDFT) respectively. The FFT/IFFT is widely used in many digital signal processing applications and the efficient implementation of the FFT/IFFT is a topic of continuous research.

Binary manipulators are powered by actuators which have only two stable states. Therefore, they can reach only a discrete (but possibly large) number of locations. Compared to a manipulator built with continuous actuators, a binary manipulator provides reasonable performance, and is relatively inexpensive (up to an order of magnitude cheaper). The number of states of a binary manipulator grows ...

In this paper, we study the existence of solution of the four-point boundary value problem for second-order differential equations with impulses by using leray-Schauder theory: ⎧⎨ ⎩ x′′(t) = f(t, x(t), x′(t)), t ∈ [0, 1], t = tk, k = 1, 2,··· ,m Δx(tk) = Ik(x(tk)), k = 1, 2,··· ,m Δx′(tk) = Ik(x(tk), x ′(tk)), k = 1, 2,··· ,m x′(0) = αx′(ξ), x(1) = βx(η), (E) where 0 < ξ ≤ η < 1, α ≥ 0, β ≥ 0 a...

The shift to modularized cars leads to the need for early and precise concept decisions for the development of modules. Many module definitions focus on the interaction between modules to make them upgradeable. The focus here is on modules that have to work with unknown restrictions in terms of uncertainty. In this paper, emphasis is put on unknown car styling in early design stages. Because of...

Abstract. Let Rk(n) be the number of representations of an integer n as the sum of a prime and a k-th power for k ≥ 2. Furthermore, set Ek(X) = |{n ≤ X, n ∈ Ik, n not a sum of a prime and a k-th power}|. In the present paper we use sieve techniques to obtain a strong upper bound on Rk(n) for n ≤ X with no exceptions, and we improve upon the results of A. Zaccagnini to prove Ek(X) ≪k X 1−181 log...

A complete proof of the quark Reggeization hypothesis in the leading logarithmic approximation for any quark–gluon inelastic process in the multi–Regge kinematics in all orders of α s is given. First, we show that the multi–Regge form of QCD amplitudes is guarantied if a set of conditions on the Reggeon vertices and the trajectories is fulfilled. Then, we examine these conditions and show that ...