On the periodic solutions of linear homogenous systems of differential equations by A. K. Bose

Subjects: “…linear homogeneous system of differential equations…”
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Testing Gaussianity, Homogeneity, and Isotropy with the Cosmic Microwave Background by L. Raul Abramo, Thiago S. Pereira

“…In particular, we try to separate as much as possible the questions of gaussianity, homogeneity, and isotropy from each other. We focus both on isotropic estimators of nongaussianity as well as statistically anisotropic estimators of gaussianity, giving particular emphasis on their signatures and the enhanced “cosmic variances” that become increasingly important as our putative Universe becomes less symmetric. …”
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Testing Homogeneity in a Semiparametric Two-Sample Problem by Yukun Liu, Pengfei Li, Yuejiao Fu

“…We study a two-sample homogeneity testing problem, in which one sample comes from a population with density f(x) and the other is from a mixture population with mixture density (1−λ)f(x)+λg(x). …”
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Iron Accumulation Is Not Homogenous among Patients with Parkinson’s Disease by Khashayar Dashtipour, Manju Liu, Camellia Kani, Pejman Dalaie, Andre Obenaus, Daniel Simmons, Nicole M. Gatto, Mehran Zarifi

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Study of Hydrodynamic Dispersion Laws in Homogeneous and Heterogeneous Soil by WANG Da, ZHUANG Luwen, LIN Kairong, FENG Shangchao

“…To investigate the general laws of solute transport in homogeneous and heterogeneous soil,this study conducts column experiments in the laboratory to observe and monitor hydrodynamic dispersion under different conditions.The measured breakthrough curves of solute are fitted and analyzed by the classical advection-diffusion equation (ADE).The results reveal that the solute concentration has little effect on the hydrodynamic diffusion coefficient in homogeneous soil;however,the flow rate of solute transport can promote hydrodynamic diffusion,namely that a higher flow rate can lead to a larger hydrodynamic diffusion coefficient,and the breakthrough curves can be completed faster.There is a positive correlation between the hydrodynamic diffusion coefficient and the mean particle size of the sand at a certain flow rate.In addition,the scale effect is prominent in the solute transport process in soil;generally,the hydrodynamic diffusion coefficient increases with the traveling distance.Compared with the case of homogeneous soil,the heterogeneity and different layered structures of layered soil have a more significant influence on hydrodynamic dispersion.…”
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The Robustness of Strong Stability of Positive Homogeneous Difference Equations by The Anh Bui, Dang Xuan Thanh Duong

“…We study the robustness of strong stability of the homogeneous difference equation via the concept of strong stability radii: complex, real and positive radii in this paper. …”
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On a modified Hyers-Ulam stability of homogeneous equation by Soon-Mo Jung

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New Types of Almost Countable Dense Homogeneous Space by Abdalla Tallafha, Ahmed Al-Rawashdeh

“…In 1972, Bennett studied the countable dense homogeneous (CDH) spaces and in 1992, Fitzpatrick, White, and Zhou proved that every CDH space is a T1 space. …”
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The Concept of Legal Egalitarianism in Heterogeneous and Culturally Homogeneous Societies by I. V. Fedosov

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Kolmogorov-type inequalities for hypersingular integrals with homogeneous characteristics by V.F. Babenko, O.V. Kovalenko, N.V. Parfinovych

“…Here $C$ is a convex cone in ${\mathbb R}^d$, $d\geq 2$, $\Omega\colon C\to\mathbb R$ is a non-negative homogeneous of degree 0 locally integrable function, $w\colon (0,\infty)\to [0,\infty)$ is some weight function, $|\cdot|_K$ is an arbitrary norm in ${\mathbb R}^d$, $|\cdot|_{K^\circ}$ is its polar norm, and $p\in (d,\infty]$.…”
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Pointwise Multipliers on Spaces of Homogeneous Type in the Sense of Coifman and Weiss by Yanchang Han, Fanghui Liao, Zongguang Liu

“…By applying the remarkable orthonormal basis constructed recently by Ausher and Hytönen on spaces of homogeneous type in the sense of Coifman and Weiss, pointwise multipliers of inhomogeneous Besov and Triebel-Lizorkin spaces are obtained. …”
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Research of Exoskeleton Trajectory Algorithm based on Homogeneous Differential Equation by Liang Yuhang, Liang Guoxing, Li Zhili, Song Jinpeng, Ren Qichao

Subjects: “…Homogeneous equation…”
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Application of Homogenized Load-Bearing Ring Hypothesis in Roadway Supporting by Quntao Zhang, Jianwei Zheng, Xiaodong Sun, Wenzhou Li, Kang Yi, Yukai Fu, Jiulin Shi, Shuai Wang, Biao Liu, Qi Wang

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Control of the Radiation Patterns Using Homogeneous and Isotropic Impedance Metasurface by Fan Yang, Zhong Lei Mei, Tie Jun Cui

“…The proposed design enjoys novel properties of isotropy, homogeneity, low profile, and high selectivity of frequency, making it potentially applicable in many applications. …”
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The combinational structure of non-homogeneous Markov chains with countable states by A. Mukherjea, A. Nakassis

Subjects: “…non-homogeneous Markov chains…”
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Quantum tug of war between randomness and symmetries on homogeneous spaces by Rahul Arvind, Kishor Bharti, Jun Yong Khoo, Dax Enshan Koh, Jian Feng Kong

“…We then introduce the Haar measure on the homogeneous space U/H, characterizing true randomness for H-equivalent systems. …”
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Dynamics of semigroups generated by analytic functions of the Laplacian on Homogeneous Trees by Kumar, Pratyoosh, Rano, Sumit Kumar

“…Let $\Psi $ be a non-constant complex-valued analytic function defined on a connected, open set containing the $L^p$-spectrum of the Laplacian $\mathcal{L}$ on a homogeneous tree. In this paper we give a necessary and sufficient condition for the semigroup $T(t)=e^{t\Psi (\mathcal{L})}$ to be chaotic on $L^{p}$-spaces. …”
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Periodic homogenization and damage evolution in RVE composite material with inclusion by Karim Benyahi, Youcef Bouafia, Mohand Said Kachi, Amel Hamri, Sarah Benakli

Subjects: “…periodic homogenization…”
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Assessment of Theories for Free Vibration Analysis of Homogeneous and Multilayered Plates by Erasmo Carrera

“…This paper assesses classical and advanced theories for free vibrational response of homogeneous and multilayered simply supported plates. …”
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Homogeneous Charge Compression Ignition Combustion: Challenges and Proposed Solutions by Mohammad Izadi Najafabadi, Nuraini Abdul Aziz

“…Engine and car manufacturers are experiencing the demand concerning fuel efficiency and low emissions from both consumers and governments. Homogeneous charge compression ignition (HCCI) is an alternative combustion technology that is cleaner and more efficient than the other types of combustion. …”
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