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1

Kumar Jana, Tapas. "Supersymmetric Approach to Solve Interpolated Position - Dependent Mass Hamiltonians." International Journal of Science and Research (IJSR) 11, no. 8 (2022): 1214–17. http://dx.doi.org/10.21275/sr22817170424.

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2

Rismondo, Vivian, and Mark Borchert. "Position-dependent Parinaud's Syndrome." American Journal of Ophthalmology 114, no. 1 (1992): 107–8. http://dx.doi.org/10.1016/s0002-9394(14)77427-6.

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3

Drozdowski, Maciej, Florian Jaehn, and Radosław Paszkowski. "Scheduling Position-Dependent Maintenance Operations." Operations Research 65, no. 6 (2017): 1657–77. http://dx.doi.org/10.1287/opre.2017.1659.

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4

Fring, Andreas, Laure Gouba, and Frederik G. Scholtz. "Strings from position-dependent noncommutativity." Journal of Physics A: Mathematical and Theoretical 43, no. 34 (2010): 345401. http://dx.doi.org/10.1088/1751-8113/43/34/345401.

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5

BACCOU, J., and J. LIANDRAT. "POSITION-DEPENDENT LAGRANGE INTERPOLATING MULTIRESOLUTIONS." International Journal of Wavelets, Multiresolution and Information Processing 05, no. 04 (2007): 513–39. http://dx.doi.org/10.1142/s0219691307001884.

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This paper is devoted to the construction of interpolating multiresolutions using Lagrange polynomials and incorporating a position dependency. It uses the Harten's framework21 and its connection to subdivision schemes. Convergence is first emphasized. Then, plugging the various ingredients into the wavelet multiresolution analysis machinery, the construction leads to position-dependent interpolating bases and multi-scale decompositions that are useful in many instances where classical translation-invariant frameworks fail. A multivariate generalization is proposed and analyzed. We investigate applications to the reduction of the so-called Gibbs phenomenon for the approximation of locally discontinuous functions and to the improvement of the compression of locally discontinuous 1D signals. Some applications to image decomposition are finally presented.
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6

Unlu, H., and A. Nussbaum. "Position-dependent theory of heterojunctions." physica status solidi (a) 94, no. 2 (1986): 687–91. http://dx.doi.org/10.1002/pssa.2210940233.

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7

Inoue, Manabu, Hirokazu Morihata, Shun Matoba, and Hiroshi Shibasaki. "A case of position dependent tremor." Rinsho Shinkeigaku 61, no. 11 (2021): 762–64. http://dx.doi.org/10.5692/clinicalneurol.cn-001642.

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8

Nikitin, A. G., and T. M. Zasadko. "Superintegrable systems with position dependent mass." Journal of Mathematical Physics 56, no. 4 (2015): 042101. http://dx.doi.org/10.1063/1.4908107.

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9

Tkachuk, V. M., and S. I. Vakarchuk. "Pauli equation with position-dependent mass." Journal of Physical Studies 10, no. 2 (2006): 81–85. http://dx.doi.org/10.30970/jps.10.81.

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10

Hockenberry, Adam J., M. Irmak Sirer, Luís A. Nunes Amaral, and Michael C. Jewett. "Quantifying Position-Dependent Codon Usage Bias." Molecular Biology and Evolution 31, no. 7 (2014): 1880–93. http://dx.doi.org/10.1093/molbev/msu126.

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11

Cruz, S. Cruz y., J. Negro, and L. M. Nieto. "On position-dependent mass harmonic oscillators." Journal of Physics: Conference Series 128 (August 1, 2008): 012053. http://dx.doi.org/10.1088/1742-6596/128/1/012053.

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12

Schmidt, Alexandre G. M. "Annular billiards with position-dependent mass." Physica A: Statistical Mechanics and its Applications 391, no. 14 (2012): 3792–96. http://dx.doi.org/10.1016/j.physa.2012.02.027.

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13

Schubert, Ingo, and Gottfried Künzel. "Position-dependent NOR activity in barley." Chromosoma 99, no. 5 (1990): 352–59. http://dx.doi.org/10.1007/bf01731723.

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14

Foulkes, W. M. C., and M. Schluter. "Pseudopotentials with position-dependent electron masses." Physical Review B 42, no. 18 (1990): 11505–29. http://dx.doi.org/10.1103/physrevb.42.11505.

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15

Dimsdale-Zucker, Halle R., Kristin E. Flegal, Alexandra S. Atkins, and Patricia A. Reuter-Lorenz. "Serial position-dependent false memory effects." Memory 27, no. 3 (2018): 397–409. http://dx.doi.org/10.1080/09658211.2018.1513039.

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16

Ostrow, CL, E. Hupp, and D. Topjian. "The effect of Trendelenburg and modified trendelenburg positions on cardiac output, blood pressure, and oxygenation: a preliminary study." American Journal of Critical Care 3, no. 5 (1994): 382–86. http://dx.doi.org/10.4037/ajcc1994.3.5.382.

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BACKGROUND: Although we have insufficient knowledge about the effects of Trendelenburg positions on various hemodynamic parameters, these positions are frequently used to influence cardiac output and blood pressure in critically ill patients. OBJECTIVES: To determine the effect of Trendelenburg and modified Trendelenburg positions on five dependent variables: cardiac output, cardiac index, mean arterial pressure, systemic vascular resistance, and oxygenation in critically ill patients. METHODS: In this preliminary study subjects were 23 cardiac surgery patients (mean age, 55; SD, 8.09) who had a pulmonary artery catheter for cardiac output determination and who were clinically stable, normovolemic and normotensive. Baseline measurements of the dependent variables were taken in the supine position. Patients were then placed in 10 degrees Trendelenburg or 30 degrees modified Trendelenburg position. The dependent variables were measured after 10 minutes in each position. A 2-period, 2-treatment crossover design with a preliminary baseline measurement was used. RESULTS: Five subjects were unable to tolerate Trendelenburg position because of nausea or pain in the sternal incision. In the 18 who were able to tolerate both position changes, no statistically significant changes were found in the five dependent variables. Changes in systemic vascular resistance over time approached statistical significance and warrant further study. CONCLUSIONS: This preliminary study does not provide support for Trendelenburg positions as a means to influence hemodynamic parameters such as cardiac output and blood pressure in normovolemic and normotensive patients.
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17

Lakes-Harlan, Reinhard, and Jan Scherberich. "Position-dependent hearing in three species of bushcrickets (Tettigoniidae, Orthoptera)." Royal Society Open Science 2, no. 6 (2015): 140473. http://dx.doi.org/10.1098/rsos.140473.

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A primary task of auditory systems is the localization of sound sources in space. Sound source localization in azimuth is usually based on temporal or intensity differences of sounds between the bilaterally arranged ears. In mammals, localization in elevation is possible by transfer functions at the ear, especially the pinnae. Although insects are able to locate sound sources, little attention is given to the mechanisms of acoustic orientation to elevated positions. Here we comparatively analyse the peripheral hearing thresholds of three species of bushcrickets in respect to sound source positions in space. The hearing thresholds across frequencies depend on the location of a sound source in the three-dimensional hearing space in front of the animal. Thresholds differ for different azimuthal positions and for different positions in elevation. This position-dependent frequency tuning is species specific. Largest differences in thresholds between positions are found in Ancylecha fenestrata . Correspondingly, A. fenestrata has a rather complex ear morphology including cuticular folds covering the anterior tympanal membrane. The position-dependent tuning might contribute to sound source localization in the habitats. Acoustic orientation might be a selective factor for the evolution of morphological structures at the bushcricket ear and, speculatively, even for frequency fractioning in the ear.
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18

Freimann, Florian Baptist, Jens Ötvös, Sascha Santosh Chopra, Peter Vajkoczy, Stefan Wolf, and Christian Sprung. "Differential pressure in shunt therapy: investigation of position-dependent intraperitoneal pressure in a porcine model." Journal of Neurosurgery: Pediatrics 12, no. 6 (2013): 575–81. http://dx.doi.org/10.3171/2013.8.peds13205.

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Object The differential pressure between the intracranial and intraperitoneal cavities is essential for ventriculoperitoneal shunting. A determination of the pressure in both cavities is decisive for selecting the appropriate valve type and opening pressure. The intraperitoneal pressure (IPP)—in contrast to the intracranial pressure—still remains controversial with regard to its normal level and position dependency. Methods The authors used 6 female pigs for the experiments. Two transdermal telemetric pressure sensors (cranial and caudal) were implanted intraperitoneally with a craniocaudal distance of 30 cm. Direct IPP measurements were supplemented with noninvasive IPP measurements (intragastral and intravesical). The IPP was measured with the pigs in the supine (0°), 30°, 60°, and vertical (90°) body positions. After the pigs were euthanized, CT was used to determine the intraperitoneal probe position. Results With pigs in the supine position, the mean (± SD) IPP was 10.0 ± 3.5 cm H2O in a mean vertical distance of 4.5 ± 2.8 cm to the highest level of the peritoneum. The difference between the mean IPP of the cranially and the caudally implanted probes (Δ IPP) increased according to position, from 5.5 cm H2O in the 0° position to 11.5 cm H2O in the 30° position, 18.3 cm H2O in the 60° position, and 25.6 cm H2O in the vertical body position. The vertical distance between the probe tips (cranially implanted over caudally implanted) increased 3.4, 11.2, 19.3, and 22.3 cm for each of the 4 body positions, respectively. The mean difference between the Δ IPP and the vertical distance between both probe tips over all body positions was 1.7 cm H2O. Conclusions The IPP is subject to the position-dependent hydrostatic force. Normal IPP is able to reduce the differential pressure in patients with ventriculoperitoneal shunts.
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19

Yan, P., and H. Shigemasu. "Stereo-curvature aftereffects are retinal-position dependent and not scale dependent." Journal of Vision 14, no. 10 (2014): 726. http://dx.doi.org/10.1167/14.10.726.

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20

Yin, Yunqiang, Wen-Hung Wu, T. C. E. Cheng, and Chi-Chia Wu. "Single-machine scheduling with time-dependent and position-dependent deteriorating jobs." International Journal of Computer Integrated Manufacturing 28, no. 7 (2014): 781–90. http://dx.doi.org/10.1080/0951192x.2014.900872.

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21

Tonyan, Arsen G., Vladislav V. Khan, Alixan A. Khalafyan, Alexey V. Bunyakin, Shakro N. Avakyan, and Maxim S. Lymar. "Pathogenetic Development Factors of Position-dependent Changes in Oxygen Saturation." Bulletin of Rehabilitation Medicine 20, no. 3 (2021): 77–90. http://dx.doi.org/10.38025/2078-1962-2021-20-3-77-90.

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It is known that the oxygen saturation of the peripheral blood is determined by the efficiency of the heart, the state of the microcirculatorybed, so position-dependent fluctuations in systolic blood pressure, pressure in the left renal and left adrenal veins,mediated bursts of hormones of the adrenal cortex can affect SO2. There is every reason to believe that SO2 will change in differentstatic positions. Aim. To study position-dependent changes in oxygen saturation based on the study of the pathogenetic effect of venous bloodflow in the “pool” of the left renal vein on the general hemodynamics and hormones of the adrenal cortex. Material and methods. A method for the polypositional assessment of oxygen saturation disturbances in six static states has beendeveloped: standing, sitting, on the back, on the abdomen, on your right side, on your left side. Statistical data processing was carriedout, which made it possible to determine the relationship between the indicators. Results. Polypositional studies of oxygen saturation hemodynamic parameters (SрO2) in six static states revealed the variability ofthe relationships of these groups when comparing them. The correlation was high, statistically significant between diastolic (DBP)and systolic (SBP) pressure, moderate between pulse (Ps) and SBP, pulse and DBP, weak between pulse and saturation. The groupsdivided by body positions relative to the pulse, SBP and DBP did not have a cluster structure. In the pron-position, SO2 had a minimalvalue, significantly different from the data in the other positions. Conclusion. Body position is one of the pathogenetically significant factors regulating blood oxygen saturation, which can helpin the treatment and rehabilitation of patients with respiratory failure (COVID-19). Polypositional saturation measurement in sixstatic states can determine a new, more effective algorithm for the management of patients with respiratory failure, both duringtreatment and during rehabilitation.
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22

Zhou, Julian Q., and Steven H. Kleinstein. "Position-Dependent Differential Targeting of Somatic Hypermutation." Journal of Immunology 205, no. 12 (2020): 3468–79. http://dx.doi.org/10.4049/jimmunol.2000496.

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23

Haapala, Hannu E. S. "Position Dependent Control (PDC) of plant production." Agricultural and Food Science 4, no. 3 (1995): 239–350. http://dx.doi.org/10.23986/afsci.72612.

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The aims of this work were to get answers to the following three questions: (1) What are the potentialities of coordinate-based field crop production? (2) What are the requirements for the method of attaching field crop information to a coordinate system? (3) What are the possible solutions? The work was focused on the effects of positioning quality. In PDC (Position Dependent Control) positioning is needed to target the inputs and to relate inputs and outputs accurately to each other. Systems analysis was used to accomplish a mathematical model of the position dependent control system. The model developed describes a system which consists of models for the positioning method and the target. An accuracy requirement of ±5 meters for N-fertilization was set with the developed model. The results from Keimola gave information on the variability of soil and wheat yield. Regressions for individual input variables and multiple regressions calculated for whole sample lines (á 50 m) were low (r2
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24

Bahsoun, Wael, Christopher Bose, and Anthony Quas. "Deterministic representation for position dependent random maps." Discrete & Continuous Dynamical Systems - A 22, no. 3 (2008): 529–40. http://dx.doi.org/10.3934/dcds.2008.22.529.

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25

Alamri, Yassar. "Arm position-dependent kinking of intravenous cannula." Saudi Journal of Anaesthesia 11, no. 4 (2017): 511. http://dx.doi.org/10.4103/sja.sja_260_17.

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26

Patrick, Chris. "Investigating position-dependent chiral light-matter interactions." Scilight 2021, no. 10 (2021): 101108. http://dx.doi.org/10.1063/10.0003795.

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27

Bolt, R. A., and J. J. ten Bosch. "Method for measuring position-dependent volume reflection." Applied Optics 32, no. 24 (1993): 4641. http://dx.doi.org/10.1364/ao.32.004641.

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28

Li, Xiaochuan, Nan Zhao, Lihua Yu, and Young-A. Son. "Nitro Substituted Bisindolylmalimide Derivatives: Position-Dependent Emission." Molecular Crystals and Liquid Crystals 608, no. 1 (2015): 273–81. http://dx.doi.org/10.1080/15421406.2014.940805.

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29

Pando, Autumn L., Hyunglae Lee, Will B. Drake, Neville Hogan, and Steven K. Charles. "Position-Dependent Characterization of Passive Wrist Stiffness." IEEE Transactions on Biomedical Engineering 61, no. 8 (2014): 2235–44. http://dx.doi.org/10.1109/tbme.2014.2313532.

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30

Kawamura, Kiyoshi, and Ronald A. Brown. "Bargmann’s theorem and position-dependent effective mass." Physical Review B 37, no. 8 (1988): 3932–39. http://dx.doi.org/10.1103/physrevb.37.3932.

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31

De Luca, J., R. Napolitano, and V. S. Bagnato. "Resonant cooling in position-dependent magnetic fields." Physical Review A 55, no. 3 (1997): R1597—R1600. http://dx.doi.org/10.1103/physreva.55.r1597.

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32

BAHSOUN, WAEL, PAWEŁ GÓRA, and ABRAHAM BOYARSKY. "STOCHASTIC PERTURBATIONS OF POSITION DEPENDENT RANDOM MAPS." Stochastics and Dynamics 03, no. 04 (2003): 545–57. http://dx.doi.org/10.1142/s0219493703000826.

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A random map is a dynamical system consisting of a collection of maps which are selected randomly by means of fixed probabilities at each iteration. In this note, we consider absolutely continuous invariant measures of random maps with position dependent probabilities and prove that they are stable under small stochastic perturbations. This result depends on a new lemma which handles arbitrarily small extra partition elements that may arise from the perturbation of the random map. For perturbations satisfying additional conditions, we give precise estimates of the error in the invariant density.
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33

Killingbeck, J. P. "The Schrödinger equation with position-dependent mass." Journal of Physics A: Mathematical and Theoretical 44, no. 28 (2011): 285208. http://dx.doi.org/10.1088/1751-8113/44/28/285208.

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34

Smith, Kara, Daniel Proga, Randall Dannen, Sergei Dyda, and Tim Waters. "Position-dependent Radiation Fields near Accretion Disks." Astrophysical Journal 970, no. 2 (2024): 150. http://dx.doi.org/10.3847/1538-4357/ad4a70.

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Abstract In disk-wind models for active galactic nuclei outflows, high-energy radiation poses a significant problem wherein the gas can become overionized, effectively disabling what is often inferred to be the largest force acting on the gas: the radiation force due to spectral line opacity. Calculations of this radiation force depend on the magnitude of ionizing radiation, which can strongly depend on the position above a disk where the radiation is anisotropic. As our first step to quantify the position and direction dependence of the radiation field, we assumed free streaming of photons and computed energy distributions of the mean intensity and components of flux as well as energy-integrated quantities such as mean photon energy. We find a significant dependence of radiation-field properties on position, but this dependence is not necessarily the same for different field quantities. A key example is that the mean intensity is much softer than the radial flux at many points near the disk. Because the mean intensity largely controls ionization, this softening decreases the severity of the overionization problem. The position dependence of mean intensity implies the position dependence of gas opacity, which we illustrate by computing the radiation force a fluid element feels in an accelerating wind. We find that in a vertical accelerating flow, the force due to radiation is not parallel to the radiation flux. This misalignment is due to the force’s geometric weighting by both the velocity field’s directionality and the position dependence of the mean intensity.
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35

Lévy-Leblond, Jean-Marc. "Position-dependent effective mass and Galilean invariance." Physical Review A 52, no. 3 (1995): 1845–49. http://dx.doi.org/10.1103/physreva.52.1845.

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36

Jiang, Chong, Dexin Zou, Danyu Bai, and Ji-Bo Wang. "Proportionate flowshop scheduling with position-dependent weights." Engineering Optimization 52, no. 1 (2019): 37–52. http://dx.doi.org/10.1080/0305215x.2019.1573898.

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37

Cruz y Cruz, Sara, and Oscar Rosas-Ortiz. "Position-dependent mass oscillators and coherent states." Journal of Physics A: Mathematical and Theoretical 42, no. 18 (2009): 185205. http://dx.doi.org/10.1088/1751-8113/42/18/185205.

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38

Young, K. "Position-dependent effective mass for inhomogeneous semiconductors." Physical Review B 39, no. 18 (1989): 13434–41. http://dx.doi.org/10.1103/physrevb.39.13434.

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39

Bachman, A., and A. Janiak. "Scheduling jobs with position-dependent processing times." Journal of the Operational Research Society 55, no. 3 (2004): 257–64. http://dx.doi.org/10.1057/palgrave.jors.2601689.

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40

Kravitz, Dwight J., Latrice D. Vinson, and Chris I. Baker. "How position dependent is visual object recognition?" Trends in Cognitive Sciences 12, no. 3 (2008): 114–22. http://dx.doi.org/10.1016/j.tics.2007.12.006.

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41

Zhang, Li, Xin Zhao, Siwei Ma, Qiang Wang, and Wen Gao. "Novel intra prediction via position-dependent filtering." Journal of Visual Communication and Image Representation 22, no. 8 (2011): 687–96. http://dx.doi.org/10.1016/j.jvcir.2010.11.003.

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42

Katz, Yuri A. "Default risk modeling with position-dependent killing." Physica A: Statistical Mechanics and its Applications 392, no. 7 (2013): 1648–58. http://dx.doi.org/10.1016/j.physa.2012.11.059.

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43

Lin, S. P. "Convective diffusion in position-dependent drag fields." Journal of Colloid and Interface Science 131, no. 1 (1989): 211–17. http://dx.doi.org/10.1016/0021-9797(89)90160-4.

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44

Schaefer, Marius, Louis Bugnion, Martin Kern, and Perry Bartelt. "Position dependent velocity profiles in granular avalanches." Granular Matter 12, no. 3 (2010): 327–36. http://dx.doi.org/10.1007/s10035-010-0179-6.

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45

Ho, C. L., and P. Roy. "Generalized Dirac oscillators with position-dependent mass." EPL (Europhysics Letters) 124, no. 6 (2019): 60003. http://dx.doi.org/10.1209/0295-5075/124/60003.

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46

Ki-Seung Lee. "Position-Dependent Crosstalk Cancellation Using Space Partitioning." IEEE Transactions on Audio, Speech, and Language Processing 21, no. 6 (2013): 1228–39. http://dx.doi.org/10.1109/tasl.2013.2248713.

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47

Nishizaka, T., Q. Shi, and M. P. Sheetz. "Position-dependent linkages of fibronectin- integrin-cytoskeleton." Proceedings of the National Academy of Sciences 97, no. 2 (2000): 692–97. http://dx.doi.org/10.1073/pnas.97.2.692.

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48

Levy-Leblond, J. M. "Elementary quantum models with position-dependent mass." European Journal of Physics 13, no. 5 (1992): 215–18. http://dx.doi.org/10.1088/0143-0807/13/5/003.

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49

Lima, Jonas R. F., M. Vieira, C. Furtado, F. Moraes, and Cleverson Filgueiras. "Yet another position-dependent mass quantum model." Journal of Mathematical Physics 53, no. 7 (2012): 072101. http://dx.doi.org/10.1063/1.4732509.

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50

Bulger, David, James Freckleton, and Jason Twamley. "Position-dependent and cooperative quantum Parrondo walks." New Journal of Physics 10, no. 9 (2008): 093014. http://dx.doi.org/10.1088/1367-2630/10/9/093014.

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