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1

Hron, J., and T. Macák. "Organisation equilibrium." Agricultural Economics (Zemědělská ekonomika) 52, No. 4 (2012): 147–51. http://dx.doi.org/10.17221/5008-agricecon.

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Parameters of structure should reflect the factors reflecting the situation, e.g. organisation age, size and type of production system (Mintzberg 1996). The present paper shows a way of achieving the equilibrium between the situation factors and the relevant project parameters of an organisation, the balance being based on a congruence approach.
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2

Chen, Fengde, Zhong Li, and Lijuan Chen. "Dynamic Behaviors of a Stage Structure Commensalism System with Holling type II Commensalistic Benefits." WSEAS TRANSACTIONS ON MATHEMATICS 21 (December 12, 2022): 810–24. http://dx.doi.org/10.37394/23206.2022.21.93.

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Noting the fact that commensal species that behave as foragers are subject to the constraints of handling time, a two species commensalism model with Holling type II commensalistic benefits and stage structure is proposed and studied. We first show that among four possible equilibria, host-only equilibrium and positive equilibrium are possible asymptotically stable. Next, we establish a powerful lemma on the global stability property of the single species stage structured model with linear perturbation on mature species. By applying this lemma and the differential inequalities theory, sufficie
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3

Long, Yuhua, and Yining Chen. "Modeling porcine pseudorabies with age structure." Electronic Journal of Differential Equations 2021, no. 01-104 (2021): 45. http://dx.doi.org/10.58997/ejde.2021.45.

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Porcine pseudorabies is an acute and highly contagious viral disease caused by the pseudorabies virus. It inflicts enormous losses to the pig-breeding industry. In this paper, we propose an age-structured mathematical model. We investigate the dynamics of this model characterized by the basic reproduction number \(\Re_0=\max\{\Re_{01}, \Re_{02}\}\) by addressing the existence and global stability of equilibria. When \(\Re_0<1\), the disease-free equilibrium is unique and globally asymptotically stable. The boundary equilibrium exists and is globally asymptotically stable under the condition
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4

HODDER, JAMES E., and LEMMA W. SENBET. "International Capital Structure Equilibrium." Journal of Finance 45, no. 5 (1990): 1495–516. http://dx.doi.org/10.1111/j.1540-6261.1990.tb03725.x.

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5

Tribe, Keith. "Market Structure and Equilibrium." History of Political Economy 48, no. 3 (2016): 547–49. http://dx.doi.org/10.1215/00182702-3638767.

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6

Breidung, Jürgen, Jean Demaison, Laurent Margulès, and Walter Thiel. "Equilibrium structure of SiF4." Chemical Physics Letters 313, no. 3-4 (1999): 713–17. http://dx.doi.org/10.1016/s0009-2614(99)01148-3.

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7

Puzzarini, Cristina, and Gabriele Cazzoli. "Equilibrium structure of methylcyanide." Journal of Molecular Spectroscopy 240, no. 2 (2006): 260–64. http://dx.doi.org/10.1016/j.jms.2006.10.005.

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8

Demaison, J. "Equilibrium structure of chloroform." Journal of Molecular Spectroscopy 251, no. 1-2 (2008): 217–19. http://dx.doi.org/10.1016/j.jms.2008.02.023.

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9

Breidung, Jürgen, Walter Thiel, and Jean Demaison. "Equilibrium structure of PH2Br." Chemical Physics Letters 266, no. 5-6 (1997): 515–20. http://dx.doi.org/10.1016/s0009-2614(97)00025-0.

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10

Gauss, J�rgen, and John F. Stanton. "Equilibrium structure of LiCCH." International Journal of Quantum Chemistry 77, no. 1 (2000): 305–10. http://dx.doi.org/10.1002/(sici)1097-461x(2000)77:1<305::aid-qua28>3.0.co;2-n.

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11

Wang, Lili, and Rui Xu. "Global Dynamics of a Predator-Prey Model with Stage Structure and Delayed Predator Response." Discrete Dynamics in Nature and Society 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/724325.

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A Holling type II predator-prey model with time delay and stage structure for the predator is investigated. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the system is discussed. The existence of Hopf bifurcations at the coexistence equilibrium is established. By means of the persistence theory on infinite dimensional systems, it is proven that the system is permanent if the coexistence equilibrium exists. By using Lyapunov functionals and LaSalle’s invariance principle, it is shown that the predator-extinction equilibrium is glo
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12

Wei, Fengying, and Qiuyue Fu. "Globally asymptotic stability of a predator–prey model with stage structure incorporating prey refuge." International Journal of Biomathematics 09, no. 04 (2016): 1650058. http://dx.doi.org/10.1142/s1793524516500583.

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This paper focuses on the stabilities of the equilibria to a predator–prey model with stage structure incorporating prey refuge. By analyzing the characteristic functions, we obtain that the equilibria of the model are locally stable when some suitable conditions are being satisfied. According to the comparison theorem and iteration technique, the globally asymptotic stability of the positive equilibrium is discussed. And, the sufficient conditions of the global stability to the trivial equilibrium and the boundary equilibrium are derived. The study shows that the prey refuge will enhance the
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13

ŠULC, PETR, ANDREAS WAGNER, and OLIVIER C. MARTIN. "QUANTIFYING SLOW EVOLUTIONARY DYNAMICS IN RNA FITNESS LANDSCAPES." Journal of Bioinformatics and Computational Biology 08, no. 06 (2010): 1027–40. http://dx.doi.org/10.1142/s0219720010005075.

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We re-examine the evolutionary dynamics of RNA secondary structures under directional selection towards an optimum RNA structure. We find that the punctuated equilibria lead to a very slow approach to the optimum, following on average an inverse power of the evolutionary time. In addition, our study of the trajectories shows that the out-of-equilibrium effects due to the evolutionary process are very weak. In particular, the distribution of genotypes is close to that arising during equilibrium stabilizing selection. As a consequence, the evolutionary dynamics leave almost no measurable out-of-
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14

Zhang, Xiao, Rui Xu, and Qintao Gan. "Global Stability for a Delayed Predator-Prey System with Stage Structure for the Predator." Discrete Dynamics in Nature and Society 2009 (2009): 1–24. http://dx.doi.org/10.1155/2009/285934.

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A delayed predator-prey system with stage structure for the predator is investigated. By analyzing the corresponding characteristic equations, the local stability of equilibria of the system is discussed. The existence of Hopf bifurcation at the positive equilibrium is established. By using an iteration technique and comparison argument, respectively, sufficient conditions are derived for the global stability of the positive equilibrium and two boundary equilibria of the system. Numerical simulations are carried out to illustrate the theoretical results.
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15

Klar, H. "Equilibrium atomic structure: Rotating atoms." Physical Review Letters 57, no. 1 (1986): 66–69. http://dx.doi.org/10.1103/physrevlett.57.66.

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16

Yoon, Mina, and David Tománek. "Equilibrium structure of ferrofluid aggregates." Journal of Physics: Condensed Matter 22, no. 45 (2010): 455105. http://dx.doi.org/10.1088/0953-8984/22/45/455105.

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17

Sedunov, B. "Equilibrium structure of dense gases." MATEC Web of Conferences 3 (2013): 01002. http://dx.doi.org/10.1051/matecconf/20130301002.

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18

Gauss, Jürgen, and John F. Stanton. "The Equilibrium Structure of Benzene." Journal of Physical Chemistry A 104, no. 13 (2000): 2865–68. http://dx.doi.org/10.1021/jp994408y.

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19

Klar, H. "Equilibrium atomic structure: Rotating atoms." Zeitschrift f�r Physik D Atoms, Molecules and Clusters 3, no. 4 (1986): 353–58. http://dx.doi.org/10.1007/bf01437191.

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20

Gauss, J., and J. F. Stanton. "The equilibrium structure of propadienylidene." Journal of Molecular Structure 485-486 (August 1999): 43–50. http://dx.doi.org/10.1016/s0022-2860(99)00084-8.

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21

Carter, Stuart, Ian M. Mills, and Nicholas C. Handy. "The equilibrium structure of HCN." Journal of Chemical Physics 97, no. 2 (1992): 1606–7. http://dx.doi.org/10.1063/1.463237.

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22

Demaison, J., M. Herman, J. Liévin, and H. D. Rudolph. "Equilibrium Structure of Sulfuric Acid." Journal of Physical Chemistry A 111, no. 13 (2007): 2602–9. http://dx.doi.org/10.1021/jp068808e.

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23

Borro, Alexander F., and Ian M. Mills. "The equilibrium structure of monofluoroacetylene." Journal of Molecular Structure 320 (April 1994): 237–42. http://dx.doi.org/10.1016/0022-2860(93)08017-x.

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24

Coriani, Sonia, Arne Haaland, Trygve Helgaker, and Poul Jørgensen. "The Equilibrium Structure of Ferrocene." ChemPhysChem 7, no. 1 (2006): 245–49. http://dx.doi.org/10.1002/cphc.200500339.

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25

Bletskan, D. I. "Electron structure of the equilibrium and metastable phases in superionic Li2SiS3." Semiconductor Physics Quantum Electronics and Optoelectronics 16, no. 1 (2013): 48–54. http://dx.doi.org/10.15407/spqeo16.01.048.

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26

PI, YONG-LIN, MARK ANDREW BRADFORD, and SHUGUO LIANG. "ENERGY APPROACH FOR DYNAMIC BUCKLING OF AN UNDAMPED ARCH MODEL UNDER STEP LOADING WITH INFINITE DURATION." International Journal of Structural Stability and Dynamics 10, no. 03 (2010): 411–39. http://dx.doi.org/10.1142/s0219455410003555.

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Performing a dynamic buckling analysis of structures is more difficult than carrying out its static buckling analysis counterpart. Some structures have a nonlinear primary equilibrium path including limit points and an unstable equilibrium path. They may also have bifurcation points at which equilibrium bifurcates from the primary equilibrium path to an unstable secondary equilibrium path. When such a structure is subjected to a load that is applied suddenly, the oscillation of the structure may reach the unstable primary or secondary equilibrium path and the structure experiences an escaping-
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27

Luo, Ani, Zhou Kun, Jian Hua Song, He Ping Liu, Te Xiao, and Ling Ying Kong. "Analysis of Equilibrium and Carrying Capability of the Octahedral Truss Structure." Applied Mechanics and Materials 672-674 (October 2014): 1797–801. http://dx.doi.org/10.4028/www.scientific.net/amm.672-674.1797.

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The truss structure has characteristics of small mass with high rigidity etc., so it is still practical in structures and researched by engineers and scientists. Here a truss structure with the paraboloid top surface is presented; several truss forms of the octahedral space units are connected into it. The equilibrium matrix is calculated by the force-density method. From the equilibrium matrix, number of the self-stress mode and number of the displacement mode of the structure is calculated. According to the obtained result, the structure is proved to be in equilibrium. Through the ANSYS soft
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28

Berger, M. A. "The Small-Scale Structure of Coronal Loops." International Astronomical Union Colloquium 144 (1994): 189–93. http://dx.doi.org/10.1017/s025292110002529x.

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AbstractHow do we model coronal loops which contain a rich internal structure? Coronal loops usually lie close to the equilibrium state, but equilibrium fields are generally nonlinear, three-dimensional, and contain intense current layers. Nevertheless, it is important to study highly structured loops. Small reconnection events (microflares and nanoflares) which simplify the structure may be the primary source of heat in the closed corona. The magnetic energy released during a reconnection event can be estimated if one knows the equilibrium energy before and after the event. Furthermore, struc
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29

Feng, Wen-Jing, Li-Ming Cai, and Kaihui Liu. "Dynamics of a dengue epidemic model with class-age structure." International Journal of Biomathematics 10, no. 08 (2017): 1750109. http://dx.doi.org/10.1142/s1793524517501091.

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We introduce the class-age-dependent rates of the infected and vaccinated class in the compartmental model of dengue transmission. An age-structured host-vector interaction model incorporating vaccination effects is formulated and analyzed for the spread of dengue. Moreover, the basic reproduction number is derived, which serves as a threshold value determining the stability of the equilibrium points. By constructing suitable Lyapunov functional, the global asymptotic stability of the equilibria of the model is established in terms of the basic reproduction number. In particular, the disease-f
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30

VOYTEKHOVSKY, Yury, and Alena ZAKHAROVA. "Petrographic structures and Hardy – Weinberg equilibrium." Journal of Mining Institute 242 (June 10, 2020): 133. http://dx.doi.org/10.31897/pmi.2020.2.133.

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The article is devoted to the most narrative side of modern petrography – the definition, classification and nomenclature of petrographic structures. We suggest a mathematical formalism using the theory of quadratic forms (with a promising extension to algebraic forms of the third and fourth orders) and statistics of binary (ternary and quaternary, respectively) intergranular contacts in a polymineralic rock. It allows constructing a complete classification of petrographic structures with boundaries corresponding to Hardy – Weinberg equilibria. The algebraic expression of the petrographic stru
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31

Liu, Chao, Qingling Zhang, and James Huang. "Stability Analysis of a Harvested Prey-Predator Model with Stage Structure and Maturation Delay." Mathematical Problems in Engineering 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/329592.

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A harvested prey-predator model with density-dependent maturation delay and stage structure for prey is proposed, where selective harvest effort on predator population is considered. Conditions which influence positiveness and boundedness of solutions of model system are analytically investigated. Criteria for existence of all equilibria and uniqueness of positive equilibrium are also studied. In order to discuss effects of maturation delay and harvesting on model dynamics, local stability analysis around all equilibria of the proposed model system is discussed due to variation of maturation d
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32

Wang, Lingshu, and Guanghui Feng. "Stability and Bifurcation Analysis on an Ecoepidemiological Model with Stage Structure and Time Delay." Abstract and Applied Analysis 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/727818.

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An ecoepidemiological predator-prey model with stage structure for the predator and time delay due to the gestation of the predator is investigated. The effects of a prey refuge with disease in the prey population are concerned. By analyzing the corresponding characteristic equations, the local stability of each of the feasible equilibria of the model is discussed. Further, it is proved that the model undergoes a Hopf bifurcation at the positive equilibrium. By means of appropriate Lyapunov functions and LaSalle’s invariance principle, sufficient conditions are obtained for the global stabilit
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33

Agusto, Folashade B., Shamise Easley, Kenneth Freeman, and Madison Thomas. "Mathematical Model of Three Age-Structured Transmission Dynamics of Chikungunya Virus." Computational and Mathematical Methods in Medicine 2016 (2016): 1–31. http://dx.doi.org/10.1155/2016/4320514.

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We developed a new age-structured deterministic model for the transmission dynamics of chikungunya virus. The model is analyzed to gain insights into the qualitative features of its associated equilibria. Some of the theoretical and epidemiological findings indicate that the stable disease-free equilibrium is globally asymptotically stable when the associated reproduction number is less than unity. Furthermore, the model undergoes, in the presence of disease induced mortality, the phenomenon of backward bifurcation, where the stable disease-free equilibrium of the model coexists with a stable
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34

Brooks, Benjamin, and Songzi Du. "On the Structure of Informationally Robust Optimal Mechanisms." Econometrica 92, no. 5 (2024): 1391–438. http://dx.doi.org/10.3982/ecta20240.

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We study the design of optimal mechanisms when the designer is uncertain both about the form of information held by the agents and also about which equilibrium will be played. The guarantee of a mechanism is its worst performance across all information structures and equilibria. The potential of an information structure is its best performance across all mechanisms and equilibria. We formulate a pair of linear programs, one of which is a lower bound on the maximum guarantee across all mechanisms, and the other of which is an upper bound on the minimum potential across all information structure
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35

Wang, Jinliang, Min Guo, and Shengqiang Liu. "SVIR epidemic model with age structure in susceptibility, vaccination effects and relapse." IMA Journal of Applied Mathematics 82, no. 5 (2017): 945–70. http://dx.doi.org/10.1093/imamat/hxx020.

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Abstract An SVIR epidemic model with continuous age structure in the susceptibility, vaccination effects and relapse is proposed. The asymptotic smoothness, existence of a global attractor, the stability of equilibria and persistence are addressed. It is shown that if the basic reproductive number $\Re_0&amp;lt;1$, then the disease-free equilibrium is globally asymptotically stable. If $\Re_0&amp;gt;1$, the disease is uniformly persistent, and a Lyapunov functional is used to show that the unique endemic equilibrium is globally asymptotically stable. Combined effects of susceptibility age, vac
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36

CHARIF, I. E., S. M. MEKELLECHE, and D. VILLEMIN. "SOLVENT EFFECTS ON THE KETO-ENOL TAUTOMERIC EQUILIBRIUM OF TETRONIC AND ETHYL ACETOACETATE CARBON ACIDS: A THEORETICAL STUDY." Journal of Theoretical and Computational Chemistry 09, no. 06 (2010): 1021–32. http://dx.doi.org/10.1142/s0219633610006171.

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The solvent effects on the keto-enol tautomeric equilibriums of ethyl acetoacetate (EAA) and tetronic acid (TA) are theoretically investigated. The present study shows that the most stable keto tautomer of EAA corresponds to the trans diketo, E, Z form; while the most stable enol tautomer corresponds to the structure in which the enolization takes place at the carbonyl group. Our calculations also put in evidence that the keto tautomer of TA prefers the trans diketo, E, E form, while the most stable enol tautomer corresponds to the structure in which the enolization takes place at the carbonyl
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37

Zu, Mengjie, Arunkumar Bupathy, Daan Frenkel, and Srikanth Sastry. "Information density, structure and entropy in equilibrium and non-equilibrium systems." Journal of Statistical Mechanics: Theory and Experiment 2020, no. 2 (2020): 023204. http://dx.doi.org/10.1088/1742-5468/ab684b.

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38

Ryoken, Haruki, Isao Sakaguchi, Naoki Ohashi, et al. "Defect Structure in (Zn,Mg)O Films Prepared on YSZ Substrate." Key Engineering Materials 320 (September 2006): 103–6. http://dx.doi.org/10.4028/www.scientific.net/kem.320.103.

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The defect structure of undoped ZnO and (Zn1-x,Mgx)O solid-solution films were deposited on YSZ substrate with pulsed laser deposition (PLD) to investigate defect equilibria in those films. In particular, the effects of thermal treatment on the structures and prosperities of (Zn1-x,Mgx)O solid-solution films were examined. The films with high MgO concentration (x&gt;0.12) decomposed to the wurtzite-type and rock-salt-type phase after thermal treatment, indicating that the solubility limit of Mg was about x=0.12 and the wurtzite-type (Zn,Mg)O films with x&gt;0.12 were indicated to be non-equili
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39

Azar, José, and Xavier Vives. "General Equilibrium Oligopoly and Ownership Structure." Econometrica 89, no. 3 (2021): 999–1048. http://dx.doi.org/10.3982/ecta17906.

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We develop a tractable general equilibrium framework in which firms are large and have market power with respect to both products and labor, and in which a firm's decisions are affected by its ownership structure. We characterize the Cournot–Walras equilibrium of an economy where each firm maximizes a share‐weighted average of shareholder utilities—rendering the equilibrium independent of price normalization. In a one‐sector economy, if returns to scale are non‐increasing, then an increase in “effective” market concentration (which accounts for common ownership) leads to declines in employment
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40

Tarazona, P., M. M. Telo da Gama, and M. Robert. "Equilibrium structure of liquid wetting layers." Journal of Chemical Physics 86, no. 3 (1987): 1521–32. http://dx.doi.org/10.1063/1.452189.

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41

POLYAK, R. "Local Structure of Convex Equilibrium Problems." Annals of the New York Academy of Sciences 491, no. 1 (1987): 189–90. http://dx.doi.org/10.1111/j.1749-6632.1987.tb30054.x.

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42

Tamassia, Filippo, Elisabetta Cané, Luciano Fusina, and Gianfranco Di Lonardo. "The experimental equilibrium structure of acetylene." Physical Chemistry Chemical Physics 18, no. 3 (2016): 1937–44. http://dx.doi.org/10.1039/c5cp05997f.

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The empirical equilibrium structure of acetylene has been derived by exploiting the very precise experimental rotational constants available in the literature for the 10 isotopologues relative to all the possible combinations of H, D, <sup>12</sup>C and <sup>13</sup>C atoms.
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43

Tikhonov, Denis S., Anatolii N. Rykov, Olga E. Grikina, and Leonid S. Khaikin. "Gas phase equilibrium structure of histamine." Physical Chemistry Chemical Physics 18, no. 8 (2016): 6092–102. http://dx.doi.org/10.1039/c5cp07719b.

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44

Leplaideur, Renaud. "Local product structure for Equilibrium States." Transactions of the American Mathematical Society 352, no. 4 (1999): 1889–912. http://dx.doi.org/10.1090/s0002-9947-99-02479-4.

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45

Thorwirth, Sven, Michael E. Harding, Dirk Muders, and Jürgen Gauss. "The empirical equilibrium structure of diacetylene." Journal of Molecular Spectroscopy 251, no. 1-2 (2008): 220–23. http://dx.doi.org/10.1016/j.jms.2008.02.020.

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46

Puzzarini, Cristina, and Gabriele Cazzoli. "Equilibrium structure of protonated cyanogen, HNCCN+." Journal of Molecular Spectroscopy 256, no. 1 (2009): 53–56. http://dx.doi.org/10.1016/j.jms.2009.02.009.

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47

Baraban, Joshua H., P. Bryan Changala, and John F. Stanton. "The equilibrium structure of hydrogen peroxide." Journal of Molecular Spectroscopy 343 (January 2018): 92–95. http://dx.doi.org/10.1016/j.jms.2017.09.014.

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48

Williamson, Darrell, Robert E. Skelton, and Jeongheon Han. "Equilibrium conditions of a tensegrity structure." International Journal of Solids and Structures 40, no. 23 (2003): 6347–67. http://dx.doi.org/10.1016/s0020-7683(03)00400-1.

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49

Sánchez-Portal, Daniel, Emilio Artacho, Javier Junquera, Alberto Garcı́a, and José M. Soler. "Zigzag equilibrium structure in monatomic wires." Surface Science 482-485 (June 2001): 1261–65. http://dx.doi.org/10.1016/s0039-6028(01)00875-5.

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50

Balykov, L. N., M. Kitamura, I. L. Maksimov, and K. Nishioka. "Kinetics of non-equilibrium step structure." Philosophical Magazine Letters 78, no. 5 (1998): 411–18. http://dx.doi.org/10.1080/095008398177814.

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