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Journal articles on the topic 'Nonlinear isotherm fitting'

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1

Chen, Chiachung. "Evaluation of Equilibrium Sorption Isotherm Equations." Open Chemical Engineering Journal 7, no. 1 (2013): 24–44. http://dx.doi.org/10.2174/1874123101307010024.

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The sorption isotherm is important information for evaluating the ability of an adsorption system to treat the industrial waste water. In this study, eleven datasets from literatures were selected and three two-parameter and three-parameter equations were used to evaluate adsorption systems. Quantitative criteria included six error functions, and the quantitative criterion was residual plots. Isotherm constants differed by linearization and nonlinear regression analysis, especially for the three-parameter equations. The results indicated the inconsistent results of the error functions for sele
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2

Bharat, Tadikonda Venkata. "Selection and Configuration of Sorption Isotherm Models in Soils Using Artificial Bees Guided by the Particle Swarm." Advances in Artificial Intelligence 2017 (January 18, 2017): 1–22. http://dx.doi.org/10.1155/2017/3497652.

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A precise estimation of isotherm model parameters and selection of isotherms from the measured data are essential for the fate and transport of toxic contaminants in the environment. Nonlinear least-square techniques are widely used for fitting the isotherm model on the experimental data. However, such conventional techniques pose several limitations in the parameter estimation and the choice of appropriate isotherm model as shown in this paper. It is demonstrated in the present work that the classical deterministic techniques are sensitive to the initial guess and thus the performance is impe
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3

Moritz, Michał, та Małgorzata Geszke-Moritz. "The Effect of SBA-15 Surface Modification on the Process of 18β-Glycyrrhetinic Acid Adsorption: Modeling of Experimental Adsorption Isotherm Data". Materials 12, № 22 (2019): 3671. http://dx.doi.org/10.3390/ma12223671.

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This study aimed at the adsorption of 18β-glycyrrhetinic acid (18β-GA), a pentacyclic triterpenoid derivative of oleanane type, onto functionalized mesoporous SBA-15 silica and non-porous silica (Aerosil®) as the reference adsorbent. Although 18β-GA possesses various beneficial pharmacological properties including antitumor, anti-inflammatory, and antioxidant activity, it occurs is small amounts in plant materials. Thus, the efficient methods of this bioactive compound enrichment from vegetable raw materials are currently studied. Siliceous adsorbents were functionalized while using various al
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4

Leite, Adilson do Lago, Antenor Braga Paraguassú, and R. Kerry Rowe. "Sorption of Cd2+, K+, F–, and Cl– on some tropical soils." Canadian Geotechnical Journal 40, no. 3 (2003): 629–42. http://dx.doi.org/10.1139/t03-011.

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The potential for the retention of K+, Cd2+, F–, and Cl– by lateritic soils from the Botucatu (an important sandy aquifer in the southeastern part of Brazil) and Serra Geral (a clayey material) formations and three mixtures of these soils is examined. Batch equilibrium results are presented for both single salt (CdCl2 and KF) and multiple salt (CdCl2 + KF) solutions. The soil retention parameters are obtained by fitting sorption models (linear, Freundlich, and Langmuir) to the experimental isotherm plots using linear and nonlinear regression analyses. The results show that the so called varyin
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5

Choi, Jiyeon, Ardie Septian, and Won Sik Shin. "The Influence of Salinity on the Removal of Ni and Zn by Sorption onto Iron Oxide- and Manganese Oxide-Coated Sand." Sustainability 12, no. 14 (2020): 5815. http://dx.doi.org/10.3390/su12145815.

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The influence of salinity on the single and binary sorption of Ni and Zn onto iron oxide- and manganese oxide-coated sand (IOCS and MOCS) was investigated at pH = 5. The single sorption experimental data were fitted to Freundlich, Langmuir, Dubinin–Radushkevich, and Sips models, and a nonlinear sorption isotherm was observed (NF = 0.309–0.567). The higher Brunauer–Emmett–Teller (BET) surface area (ABET) and cation exchange capacity (CEC) of MOCS contributed to the higher maximum sorption capacities (qmL) of Ni and Zn than that of IOCS. The Ni sorption capacities in the single sorption were hig
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6

Alorabi, Ali Q. "Effective Removal of Malachite Green from Aqueous Solutions Using Magnetic Nanocomposite: Synthesis, Characterization, and Equilibrium Study." Adsorption Science & Technology 2021 (September 15, 2021): 1–15. http://dx.doi.org/10.1155/2021/2359110.

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In this work, magnetized activated Juniperus procera leaves (Fe3O4@AJPL) were successfully prepared via chemical activation of JPL and in situ coprecipitation with Fe3O4. A Fe3O4@AJPL nanocomposite was successfully applied for the elimination of malachite green (MG) dye from aqueous media. The prepared Fe3O4@AJPL adsorbent was characterized by SEM, EDX, TEM, XRD, FTIR, TGA, and BET surface area analyses. The BET surface area and pore size of the Fe3O4@AJPL nanocomposite were found to be 38.44 m2/g and 10.6 nm, respectively. The XRD and FTIR results indicated the formation of a Fe3O4@AJPL nanoc
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7

Lin, Dongyi, Fan Wu, Yuqun Hu, et al. "Adsorption of Dye by Waste Black Tea Powder: Parameters, Kinetic, Equilibrium, and Thermodynamic Studies." Journal of Chemistry 2020 (February 8, 2020): 1–13. http://dx.doi.org/10.1155/2020/5431046.

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Waste black tea powder was used as a potential adsorbent to remove methylene blue (MB) from aqueous solution. Several operating factors in adsorption of MB onto waste black tea powder were investigated, including contact time, initial MB concentration, solution pH, adsorption temperature, and dosage of waste black tea powder. Experimental results revealed that the adsorption efficiency increased with contact time and solution pH values and decreased with initial MB concentration and adsorption temperature. The equilibrium time was estimated to be around 60 min. The maximum adsorption capacity
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8

Moritz, Michał, and Małgorzata Geszke-Moritz. "Sulfonic Acid Derivative-Modified SBA-15, PHTS and MCM-41 Mesoporous Silicas as Carriers for a New Antiplatelet Drug: Ticagrelor Adsorption and Release Studies." Materials 13, no. 13 (2020): 2913. http://dx.doi.org/10.3390/ma13132913.

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Three mesoporous, siliceous materials, i.e., SBA-15 (Santa Barbara Amorphous), PHTS (Plugged Hexagonal Templated Silica) and MCM-41 (Mobil Composition of Matter), functionalized with a sulfonic acid derivative, were successfully prepared and applied as the carriers for the poorly water-soluble drug, ticagrelor. The siliceous carriers were characterized using nitrogen sorption analysis, X-ray diffraction (XRD), transmission electron microscopy (TEM) and elemental analysis. The adsorption studies were conducted in acetonitrile. At the highest equilibrium concentrations, the amount of ticagrelor
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9

Jüngel, Ansgar, and Paola Pietra. "A Discretization Scheme for a Quasi-Hydrodynamic Semiconductor Model." Mathematical Models and Methods in Applied Sciences 07, no. 07 (1997): 935–55. http://dx.doi.org/10.1142/s0218202597000475.

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A discretization scheme based on exponential fitting mixed finite elements is developed for the quasi-hydrodynamic (or nonlinear drift–diffusion) model for semiconductors. The diffusion terms are nonlinear and of degenerate type. The presented two-dimensional scheme maintains the good features already shown by the mixed finite elements methods in the discretization of the standard isothermal drift–diffusion equations (mainly, current conservation and good approximation of sharp shapes). Moreover, it deals with the possible formation of vacuum sets. Several numerical tests show the robustness o
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10

Senseny, P. E., N. S. Brodsky, and K. L. DeVries. "Parameter Evaluation for a Unified Constitutive Model." Journal of Engineering Materials and Technology 115, no. 2 (1993): 157–62. http://dx.doi.org/10.1115/1.2904201.

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Parameters for the unified constitutive model MATMOD [1] were evaluated for rock salt (NaCl) by using nonlinear least squares to fit the model to isothermal laboratory data. MATMOD incorporates two internal variables that represent the effects of both kinematic and isotropic hardening. The constitutive equations contain nine parameters that must be evaluated to model isothermal deformation. Laboratory data from stress relaxation, constant strain rate, and long-term creep tests were used. The latter two test types included staged tests in which the strain rate or stress was changed step-wise du
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11

Ananthaswamy, Vembu, and Lakshmanan Rajendran. "Analytical Solution of Non-Isothermal Diffusion-Reaction Processes and Effectiveness Factors." ISRN Physical Chemistry 2013 (January 31, 2013): 1–14. http://dx.doi.org/10.1155/2013/487240.

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The mathematical modeling of nonlinear boundary value problems in catalytically chemical reactor is discussed. In this paper, we obtain the approximate analytical solution and the effectiveness factors for the evolution of single-step transformations under non-isothermal conditions using homotopy perturbation method. We have applied it to many reaction models and obtained very simple analytical expressions for the shape of the corresponding transformation rate peaks. These analytical solutions represent a significant simplification of the system’s description allowing easy curve fitting to exp
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12

Zhu, Cong Ling, Zhi Gang Ding, X. Q. Xiao, and S. T. Wu. "Constitutive Relation Study for Vibration Isolation Rubber of Geometric Nonlinearity and Material Nonlinearity Based on Experimental Data Support." Advanced Materials Research 426 (January 2012): 15–19. http://dx.doi.org/10.4028/www.scientific.net/amr.426.15.

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Static and quasi-static isothermal experiments were carried out on vibration isolation rubber sample pieces whose main raw material were nitrile rubber, Enhanced nitrile rubber and reclaimed rubber, then analysis and comparison on the acquired experimental data were carried out in detail. The causes of these phenomena were analyzed from macromolecules structure system entropy change. Mathematical model of the third time static loading of the above vibration isolation rubber sample pieces was established based on polynomial constitutive theory, considering softening effect and utilizing nonline
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13

Houpert, L. "Fast Numerical Calculations of EHD Sliding Traction Forces; Application to Rolling Bearings." Journal of Tribology 107, no. 2 (1985): 234–39. http://dx.doi.org/10.1115/1.3261030.

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Based on analytical calculations assuming isothermal elastohydrodynamic (EHD) lubrication conditions, and on curve-fitting of a thermal correction factor, a new formula is proposed to calculate the sliding traction force developed in a concentrated contact, assuming a nonlinear, viscoelastic lubricant and undirectional sliding. When sliding occurs in the rolling and transverse directions (bidimensional sliding), a simplified numerical method is outlined by which the components of the local shear stress are quickly calculated. The latter method is applied to the calculation of the shear stress
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14

Vukcevic, Marija, Biljana Pejic, Ivana Pajic-Lijakovic, et al. "Influence of the precursor chemical composition on heavy metal adsorption properties of hemp (Cannabis Sativa) fibers based biocarbon." Journal of the Serbian Chemical Society 82, no. 12 (2017): 1417–31. http://dx.doi.org/10.2298/jsc170310080v.

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Waste hemp (Cannabis sativa) fibers were used as sustainable and renewable raw materials for production of low-cost biocarbon sorbent for heavy metals removal. Carbon precursors of different chemical composition were obtained by oxidative and alkaline treatments of hemp fibers. Influence of lignocellulosic precursor chemical composition on hemp fibers-based biocarbon (HFB) characteristics was examined by BET surface area measurement, scanning electron microscopy and mass titration. It was found that lignin content and polymorphic transformation of cellulose increase the SBET of microporous HFB
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15

Luo, Lu, Xi Wu, Zeliang Li, et al. "Synthesis of activated carbon from biowaste of fir bark for methylene blue removal." Royal Society Open Science 6, no. 9 (2019): 190523. http://dx.doi.org/10.1098/rsos.190523.

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Activated carbon (AC) was successfully prepared from low-cost forestry fir bark (FB) waste using KOH activation method. Morphology and texture properties of ACFB were studied by scanning and high-resolution transmission electron microscopies (SEM and HRTEM), respectively. The resulting fir bark-based activated carbon (ACFB) demonstrated high surface area (1552 m 2 g −1 ) and pore volume (0.84 cm 3 g −1 ), both of which reflect excellent potential adsorption properties of ACFB towards methylene blue (MB). The effect of various factors, such as pH, initial concentration, adsorbent content as wel
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16

Sarhaddi, Reza, Hadi Arabi, and Faiz Pourarian. "Structural, morphological, magnetic and hydrogen absorption properties of LaNi5 alloy: A comprehensive study." International Journal of Modern Physics B 28, no. 14 (2014): 1450079. http://dx.doi.org/10.1142/s0217979214500799.

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A comprehensive study of structural, morphological, magnetic and hydrogen absorption properties of LaNi 5–H system was investigated. The X-ray diffraction patterns show that as-synthesized LaNi 5 alloy is single phase with CaCu5-type structure while some weak peaks of elemental nickel also appeared after several hydrogenation/dehydrogenation (H/D) cycling. The presence of pure Ni was also followed using the room temperature magnetic measurements. After H/D cycling, the particle size decreases and particle size distribution was found nearly uniform compared to noncycled alloy. The pressure-comp
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17

Ahmadian, Mohammad, Mohammad Malakootian, Majid Aghasi, and Ali Fatehizadeh. "Removal of ciprofloxacin from aqueous solution by a three-dimensional electrocoagulation process using Fe3O4@AC nanocomposite as a particle electrode in combination with persulfate: nonlinear fitting of isotherms and kinetic models." DESALINATION AND WATER TREATMENT 203 (2020): 188–201. http://dx.doi.org/10.5004/dwt.2020.26196.

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18

Guo, Y. B., Q. Wen, and K. A. Woodbury. "Dynamic Material Behavior Modeling Using Internal State Variable Plasticity and Its Application in Hard Machining Simulations." Journal of Manufacturing Science and Engineering 128, no. 3 (2005): 749–59. http://dx.doi.org/10.1115/1.2193549.

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Work materials experience large strains, high strain rates, high temperatures, and complex loading histories in machining. The problem of how to accurately model dynamic material behavior, including the adiabatic effect is essential to understand a hard machining process. Several conventional constitutive models have often been used to approximate flow stress in machining analysis and simulations. The empirical or semiempirical conventional models lack mechanisms for incorporating isotropic/kinematic hardening, recovery, and loading history effects. In this study, the material constants of AIS
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19

Fujikawa, Yoko, and M. Fukui. "Numerical Simulation of Solute Transport Instantaneously Injected in a Single Rock Fracture System: Inclusion of a Nonlinear Sorption Term." MRS Proceedings 353 (1994). http://dx.doi.org/10.1557/proc-353-371.

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AbstractThe effect of nonlinear Freundlich sorption isotherm on the transport of sorptive solute in a system of fracture and porous matrix was investigated through numerical simulation. To solve a set of partial differential equations of solute transport with nonlinear term, use of the Laplace transform Galerkin (LTG) technique was investigated. It was shown that the LTG method could be applied successfully to solve quasi-linearized transport equation. Sensitivity analysis showed that nonlinear sorption in porous matrix with order less than 1 increased the skewness of the breakthrough curve. T
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20

Shikuku, Victor O., and Trilochan Mishra. "Adsorption isotherm modeling for methylene blue removal onto magnetic kaolinite clay: a comparison of two-parameter isotherms." Applied Water Science 11, no. 6 (2021). http://dx.doi.org/10.1007/s13201-021-01440-2.

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AbstractIn this work, kaolinite clay was modified with magnetic magnetite nanoparticles (Fe3O4@MC) by co-precipitation with ferrous and ferric ions as iron precursors to ameliorate its textural and adsorption capacity for methylene blue (MB) dye uptake from synthetic wastewater at low concentrations. The adsorbents were characterized using XRD, BET surface area analysis, VSM, SEM and HRTEM. The BET surface area after chemical treatment increased from 14.616 to 26.913 m2 g−1. The saturation magnetization of Fe3O4@MC was 6.22 emu g−1 and the exhausted adsorbent recoverable by a simple magnet. Ad
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21

Ren, Liufen, Daohui Lin, and Kun Yang. "Correlations and nonlinear partition of nonionic organic compounds by humus-like substances humificated from rice straw." Scientific Reports 9, no. 1 (2019). http://dx.doi.org/10.1038/s41598-019-51406-3.

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Abstract The debate on whether the nonlinear sorption of nonionic organic compounds (NOCs) by soil organic matter (SOM) is captured by nonlinear partition or adsorption has been going on for decades because the used SOM samples are complex mixtures from various precursors with varied humification degrees in natural environment. Therefore, in this study, hydrothermal method was employed to prepare humus-like substances from a sole precursor (i.e., rice straw) with various humification degrees for nonlinear sorption of 25 aromatic compounds, then to have an insight into the underlying mechanisms
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22

Elamin, Mohamed R., Babiker Y. Abdulkhair, Faisal K. Algethami, and L. Khezami. "Linear and nonlinear investigations for the adsorption of paracetamol and metformin from water on acid-treated clay." Scientific Reports 11, no. 1 (2021). http://dx.doi.org/10.1038/s41598-021-93040-y.

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AbstractNatural clays are considered a safe, low-cost, and sound sorbent for some pharmaceutical and body care products from water. Metformin (MF) and paracetamol (PA) are of the most consumable drugs worldwide. A portion of natural clay was treated with distilled water, and another part was treated with hydrochloric acid. The water-treated clay (WTC) and the acid-treated clay (ATC) were characterized by scanning electron microscopy-energy dispersive spectroscopy, X-ray diffraction, Fourier transforms infrared spectroscopy, and nitrogen adsorption isotherm. Batch experiments were employed to i
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23

Kolli, Mounira, Safia Semra, Fatiha Benmahdi, Mohamed Bouhelassa, and Michel Sardin. "Numerical Modeling of Phenol Adsorption on Granular Activated Carbon Fixed Bed: Comparison of Two Numerical Methods to Solve the Advection-dispersion Equation." Chemical Product and Process Modeling, June 3, 2020. http://dx.doi.org/10.1515/cppm-2019-0130.

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AbstractThis paper presents a comparison between some numerical methods and techniques for solving the nonlinear advection-dispersion equation, which may be used to describe the adsorption of phenol into a granular activated carbon fixed bed under local equilibrium conditions. The adsorption is described by the Langmuir isotherm, which makes the advection-dispersion equation nonlinear. This equation is solved successively by using the approximation and linearization techniques. For each technique, two types of numerical algorithms are used. Concerning the first one, the Implicit and the Runge
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24

Malakootian, Mohammad, Majid Aghasi, Ali Fatehizadeh, and Mohammad Ahmadian. "Synergetic metronidazole removal from aqueous solutions using combination of electro-persulfate process with magnetic Fe3O4@AC nanocomposites: nonlinear fitting of isotherms and kinetic models." Zeitschrift für Physikalische Chemie, December 16, 2020. http://dx.doi.org/10.1515/zpch-2020-1702.

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AbstractThe removal of metronidazole (MNZ) from aqueous solutions by the electro-persulfate (EC–PS) process was performed in combination with magnetic Fe3O4@activated carbon (AC) nanocomposite. In the first step, the Fe3O4@AC nanocomposites were synthesized and characterized using energy-dispersive X-ray spectroscopy (XRD), vibrating-sample magnetometer (VSM) and field emission scanning electron microscopy (FESEM), energy dispersive X-ray spectroscopy (EDS), mapping, and Fourier-transform infrared spectroscopy (FTIR) analysis. The effect of Fe3O4@AC, PS and EC processes were studied separately
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25

Bouchenot, Thomas, Bassem Felemban, Cristian Mejia, and Ali P. Gordon. "Development of Noninteraction Material Models With Cyclic Hardening." Journal of Engineering Materials and Technology 138, no. 4 (2016). http://dx.doi.org/10.1115/1.4033488.

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Simulation plays a critical role in the development and evaluation of critical components that are regularly subjected to mechanical loads at elevated temperatures. The cost, applicability, and accuracy of either numerical or analytical simulations are largely dependent on the material model chosen for the application. A noninteraction (NI) model derived from individual elastic, plastic, and creep components is developed in this study. The candidate material under examination for this application is 2.25Cr–1Mo, a low-alloy ferritic steel commonly used in chemical processing, nuclear reactors,
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