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来源：Advances in Materials Science and Engineering , 2017

作者:Andrii Kulikov;Michal Hatala;Marcel Fedak;等

使用许可:CC BY

The paper describes a set of experimental measurements carried out on the experimental equipment with a drive based on pneumatic artificial muscles. Based on the analysis of the PAMS control systems issue in relation to the issue of a position control, a control algorithm has been designed and verified. The requirements of the control systems do not arise only from the condition of the desired positioning point rapid achievement, but also from the subsequent dynamics and accuracy repeatability. This algorithm enables an efficient way of stabilization of the actuator position in various dynamic conditions during the operation. It allows eliminating undesirable vibrations oscillating around the point of the required position and dampening them appropriately. The article describes a set of performed verification experimental measurements confirming the applicability in relation to the system that controls the position of the actuator utilizing the described algorithm. The algorithm application enables a positive influencing and optimization of the actuator positioning accuracy and a full-valued automation of its operation.

来源：Advances in Mathematical Physics , 2017

作者:Chuntao Li, Xin Chen, Yi Zhu

使用许可:CC BY

In this paper a new error function designed on 3-dimensional special Euclidean group SE(3) is proposed for the guidance of a UAV (Unmanned Aerial Vehicle). In the beginning, a detailed 6-DOF (Degree of Freedom) aircraft model is formulated including 12 nonlinear differential equations. Secondly the definitions of the adjoint representations are presented to establish the relationships of the Lie groups SO(3) and SE(3) and their Lie algebras so(3) and se(3). After that the general situation of the differential equations with matrices belonging to SO(3) and SE(3) is presented. According to these equations the features of the error function on SO(3) are discussed. Then an error function on SE(3) is devised which creates a new way of error functions constructing. In the simulation a trajectory tracking example is given with a target trajectory being a curve of elliptic cylinder helix. The result shows that a better tracking performance is obtained with the new devised error function.

来源：Advances in Bioinformatics , 2017

作者:Shereena M. Arif, Suhaila Zainudin, Faridah Hani Mohamed Salleh

使用许可:CC BY

Gene regulatory network (GRN) reconstruction is the process of identifying regulatory gene interactions from experimental data through computational analysis. One of the main reasons for the reduced performance of previous GRN methods had been inaccurate prediction of cascade motifs. Cascade error is defined as the wrong prediction of cascade motifs, where an indirect interaction is misinterpreted as a direct interaction. Despite the active research on various GRN prediction methods, the discussion on specific methods to solve problems related to cascade errors is still lacking. In fact, the experiments conducted by the past studies were not specifically geared towards proving the ability of GRN prediction methods in avoiding the occurrences of cascade errors. Hence, this research aims to propose Multiple Linear Regression (MLR) to infer GRN from gene expression data and to avoid wrongly inferring of an indirect interaction (A → B → C) as a direct interaction (A → C). Since the number of observations of the real experiment datasets was far less than the number of predictors, some predictors were eliminated by extracting the random subnetworks from global interaction networks via an established extraction method. In addition, the experiment was extended to assess the effectiveness of MLR in dealing with cascade error by using a novel experimental procedure that had been proposed in this work. The experiment revealed that the number of cascade errors had been very minimal. Apart from that, the Belsley collinearity test proved that multicollinearity did affect the datasets used in this experiment greatly. All the tested subnetworks obtained satisfactory results, with AUROC values above 0.5.

来源：Advances in Materials Science and Engineering , 2017

作者:Alexia Zozaya-Ortiz, Mercedes Balancán-Zapata, Pedro Castro-Borges

使用许可:CC BY

来源：Advances in Mathematical Physics , 2017

作者:Zuhier Altawallbeh

使用许可:CC BY

We find the image of the affine symplectic Lie algebra gn from the Leibniz homology HL⁎(gn) to the Lie algebra homology H⁎Lie(gn). The result shows that the image is the exterior algebra ∧⁎(wn) generated by the forms wn=∑i=1n(∂/∂xi∧∂/∂yi). Given the relevance of Hochschild homology to string topology and to get more interesting applications, we show that such a map is of potential interest in string topology and homological algebra by taking into account that the Hochschild homology HH⁎-1(U(gn)) is isomorphic to H⁎-1Lie(gn,U(gn)ad). Explicitly, we use the alternation of multilinear map, in our elements, to do certain calculations.

来源：Abstract and Applied Analysis , 2017

作者:Ryuichi Ashino, Mawardi Bahri

使用许可:CC BY

The continuous quaternion wavelet transform (CQWT) is a generalization of the classical continuous wavelet transform within the context of quaternion algebra. First of all, we show that the directional quaternion Fourier transform (QFT) uncertainty principle can be obtained using the component-wise QFT uncertainty principle. Based on this method, the directional QFT uncertainty principle using representation of polar coordinate form is easily derived. We derive a variation on uncertainty principle related to the QFT. We state that the CQWT of a quaternion function can be written in terms of the QFT and obtain a variation on uncertainty principle related to the CQWT. Finally, we apply the extended uncertainty principles and properties of the CQWT to establish logarithmic uncertainty principles related to generalized transform.