Non-linear enhancement of ultrafast X-ray diffraction through transient resonances by Stephan Kuschel, Phay J. Ho, Andre Al Haddad, Felix F. Zimmermann, Leonie Flueckiger, Matthew R. Ware, Joseph Duris, James P. MacArthur, Alberto Lutman, Ming-Fu Lin, Xiang Li, Kazutaka Nakahara, Jeff W. Aldrich, Peter Walter, Linda Young, Christoph Bostedt, Agostino Marinelli, Tais Gorkhover

“…Bleaching effects from photo-ionization significantly restrain image brightness scaling. We find that non-linear transient ion resonances can overcome this barrier if X-ray laser pulses are shorter than in most experiments. …”
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Representation theory of finite abelian groups applied to a linear diatomic crystal by J. N. Boyd, P. N. Raychowdhury

“…Lastly, the natural frequencies of a linear, diatomic crystal are determined through application of the Born cyclic condition and the determination of the symmetry coordinates.…”
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Optimizing Supply Chain Inventory: A Mixed Integer Linear Programming Approach by Joaquim Jorge Vicente

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The decomposition method for linear, one-dimensional, time-dependent partial differential equations by D. Lesnic

“…The analytical solutions for linear, one-dimensional, time-dependent partial differential equations subject to initial or lateral boundary conditions are reviewed and obtained in the form of convergent Adomian decomposition power series with easily computable components. …”
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Analysis and Design of Robust Positivity and Stability for Continuous-Time Linear Uncertain Systems by Kuo-Liang Yen, Kuo-Shong Wang, Yau-Tarng Juang

“…This paper deals with the analysis and design of positivity and stability of linear continuous conic systems. First, two robustness analysis theorems are proposed for the systems with state-feedback. …”
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Differential Subordination for Certian Subclasses of -Valent Functions Assoicated with Generalized Linear Operator by R. M. El-Ashwah, M. K. Aouf, S. M. El-Deeb

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A New Ridge-Type Estimator for the Linear Regression Model: Simulations and Applications by B. M. Golam Kibria, Adewale F. Lukman

“…The ridge regression-type (Hoerl and Kennard, 1970) and Liu-type (Liu, 1993) estimators are consistently attractive shrinkage methods to reduce the effects of multicollinearity for both linear and nonlinear regression models. This paper proposes a new estimator to solve the multicollinearity problem for the linear regression model. …”
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The Linear Fitting Method for Model of PIN Array Receiver in Space Optical Communication by H. Qinggui

“…In order to make the calculation simplified, the linear fitting method is put forward. Later, we adopt both the traditional method Newton-Raphson and the new linear fitting method to calculate the values of both maximum power and the corresponding voltage of 3 × 3 PIN array. …”
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Forced Oscillation of Second-Order Half-Linear Dynamic Equations on Time Scales by Quanwen Lin, Baoguo Jia, Qiru Wang

“…We will establish a new interval oscillation criterion for second-order half-linear dynamic equation (r(t)[xΔ(t)]α)Δ+p(t)xα(σ(t))=f(t) on a time scale T which is unbounded, which is a extension of the oscillation result for second order linear dynamic equation established by Erbe et al. (2008). …”
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Optimized Hyper Beamforming of Linear Antenna Arrays Using Collective Animal Behaviour by Gopi Ram, Durbadal Mandal, Rajib Kar, Sakti Prasad Ghoshal

“…The above comparative optimization is illustrated through 10-, 14-, and 20-element linear antenna arrays to establish the optimization efficacy of CAB.…”
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Assessing the Capabilities of a New Linear Inversion Method for Quantitative Microwave Imaging by Loreto Di Donato, Roberta Palmeri, Gino Sorbello, Tommaso Isernia, Lorenzo Crocco

“…We investigate the imaging capabilities of a new linear microwave imaging approach, which allows to quantitative retrieve the complex permittivity distribution of unknown nonweak targets. …”
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Diffusion Characteristics of Toluene into Natural Rubber/Linear Low Density Polyethylene Blends by Henry C. Obasi, Okoro Ogbobe, Isaac O. Igwe

“…The sorption and diffusion of toluene through blends of natural rubber (NR) and linear low density polyethylene (LLDPE) of varying compositions were studied at 35, 55, and 65°C by conventional weight-gain experiments. …”
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The effect of electrically conductive carbon black on properties of the linear low-density polyethylene by O. V. Kropotin, E. A. Rogachev, E. A. Drozdova, A. A. Kalenchuk, E. G. Glukhoverya, O. V. Maliy

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Factors to affect inbred beet plants while developing material for linear selection by M. I. Fedorova, E. G. Kozar, S. A. Vetrova, V. A. Zayachkovskyi, V. A. Stepanov

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Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type Inequality by Norio Yoshida

“…Picone-type inequality is established for a class of half-linear elliptic equations with forcing term, and oscillation results are derived on the basis of the Picone-type inequality. …”
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Decision procedure for first-order linear temporal logic with semi-periodic kemels by Regimantas Pliuškevičius

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Non-linear bi-algebraic curves and surfaces in moduli spaces of Abelian differentials by Deroin, Bertrand, Matheus, Carlos

“…Partly inspired by the case of homogenous spaces carrying bi-algebraic structures (such as torii, Abelian varieties and Shimura varieties), Klingler and Lerer recently showed that any bi-algebraic curve in a stratum of the moduli space of Abelian differentials is linear provided that the so-called condition $(\star )$ is fulfilled.In this note, we construct a non-linear bi-algebraic curve, resp. surface, of Abelian differentials of genus $7$, resp. $10$.…”
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Boundary value problem with integral conditions for a linear third-order equation by M. Denche, A. Memou

“…We prove the existence and uniqueness of a strong solution for a linear third-order equation with integral boundary conditions. …”
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On efficient iterative schemes for finding all solutions of non-linear engineering problems by Mudassir Shams, Nasreen Kausar

Subjects: “…non-linear equation…”
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Experimental Study on the Tensile Property of a Novel Oriented Linear Porous Metal by Bin Liu, Xin-gang Wang, Yong Tang, Wei Yuan, Chao-bin Fang, Zhen-ping Wan

“…A novel oriented linear porous metal (OLPM) with high porosity was fabricated through solid-sintering method with cutting copper fibers. …”
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