Spectral Analysis for a Wave/Plate Transmission System by Chengqiang Wang

“…Our result reads as follows: the spectrum of the infinitesimal generator of the semigroup associated with the system in question consists merely of an infinite sequence of eigenvalues which are all located in the open left half of the complex plane; the sequence of eigenvalues has the imaginary axis and another vertical line to the left of the imaginary axis as its asymptote lines; the energy of the system under consideration decreases to zero as time goes to infinity.…”
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On the Speed of Spread for Fractional Reaction-Diffusion Equations by Hans Engler

“…In the case of nonnegative g, it is shown that solutions with initial support on the positive half axis spread into the left half axis with unbounded speed if 𝑔(𝜁) satisfies some weak growth condition near 𝜁=0 in the case 𝛼>1, or if 𝑔 is merely positive on a sufficiently large interval near 𝜁=1 in the case 𝛼<1. …”
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Asymptotic stability of a repairable system with imperfect switching mechanism by Houbao Xu, Weihua Guo, Jingyuan Yu, Guangtian Zhu

“…By analyzing the spectrum of system operator, we deduce that all spectra lie in the left half-plane and 0 is the unique spectral point on imaginary axis. …”
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On the convergence of Fourier series by Geraldo Soares de Souza

“…Each bn is a special p-atom, that is, a real valued function, defined on (−π,π], which is either b(t)=1/2π or b(t)=−1|I|1/pXR(t)+1|I|1/pXL(t), where I is an interval in (−π,π], L is the left half of I and R is the right half. |I| denotes the length of I and XE the characteristic function of E. …”
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Contribution Modeling on Condition Evaluation of Asphalt Pavement Using Uncertainty Measurement and Entropy Theory by Jue Li, Hui Wei, Yongsheng Yao, Xin Hu, Lei Wang

“…The unascertained measurement function of evaluation index was performed by left-half ladder distribution, and unascertained measurement matrix was obtained. …”
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Dynamic analysis and comparison of the performance of linear and nonlinear controllers applied to a nonlinear non-interactive and interactive process by José M. Campos-Salazar, Pablo Lecaros, Rodrigo Sandoval-García

“…The LQR design employed optimal control theory, minimizing a quadratic cost function to derive the state feedback gain matrix, ensuring system stability by shifting the eigenvalues of the closed-loop system matrix into the left half of the complex plane. In contrast, the SMC leveraged the full nonlinear dynamics of the process, establishing a sliding surface to drive the system states toward a desired trajectory with robustness against model uncertainties and external disturbances. …”
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Transportation increases circulating corticosterone levels and decreases central serotonergic activity in a sex dependent manner in Pekin ducks by M.M. Bergman, J.M. Schober, R. Novak, A. Grief, C. Plue, G.S. Fraley

“…Mass spectrometry was run on the right half of the brain, and gene expression of TPH1, TPH2, TH, CRH, and NPY were measured on the left half of brain using qRT-PCR. Serum corticosterone levels were increased (p = 0.01) in crated hens and in transported hens and drakes (p = 0.0084) when compared to control. …”
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The impact of dietary phosphorus levels on growth, slaughter, and digestive metabolism in growing sheep by Shoupei Zhao, Xiaojun Ni, Jia Zhou, Xiaoqi Zhao, Xiao Wen, Xiaolin Wang, Mingyu Cao, Yanfei Zhao, Chong Shao, Lianghao Lu, Yuanyuan Chen, Bao Zhang, Huaming Yang, Bai Xue, Guobo Quan

“…Carcass traits such as left half carcass rate and net rib rate varied significantly (p &lt; 0.05), showing quadratic trends. …”
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