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Published: 4 June 2021
Last updated: 22 June 2024

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1

Jones, Stephen W. "Are rate constants constant?" Journal of Physiology 571, no. 3 (March 2006): 502. http://dx.doi.org/10.1113/jphysiol.2006.106476.

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2

Bain, Kinsey, Jon-Marc G. Rodriguez, and Marcy H. Towns. "Investigating Student Understanding of Rate Constants: When is a Constant “Constant”?" Journal of Chemical Education 96, no. 8 (June 25, 2019): 1571–77. http://dx.doi.org/10.1021/acs.jchemed.9b00005.

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3

Knizikevičius, R. "Reaction Constant Versus Reaction Rate Constant." Acta Physica Polonica A 139, no. 2 (February 2021): 93–96. http://dx.doi.org/10.12693/aphyspola.139.93.

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4

Hjerne, Olle, and Sture Hansson. "Constant catch or constant harvest rate?" Fisheries Research 53, no. 1 (September 2001): 57–70. http://dx.doi.org/10.1016/s0165-7836(00)00266-6.

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5

Krivokapich, J., S. C. Huang, C. E. Selin, and M. E. Phelps. "Fluorodeoxyglucose rate constants, lumped constant, and glucose metabolic rate in rabbit heart." American Journal of Physiology-Heart and Circulatory Physiology 252, no. 4 (April 1, 1987): H777—H787. http://dx.doi.org/10.1152/ajpheart.1987.252.4.h777.

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The isolated arterially perfused rabbit interventricular septum was used to measure myocardial metabolic rate for glucose (MMRGlc) and rate constants and lumped constant (LC) for the glucose analogue [18F]fluorodeoxyglucose (FDG) using a tracer kinetic model. FDG was delivered by constant infusion during coincidence counting of tissue 18F radioactivity. The MMRGlc was measured by the Fick method. Control septa were paced at 72 beats/min and perfused at 1.5 ml/min with oxygenated perfusate containing 5.6 mM glucose and 5 mU/ml insulin. The following conditions were tested: 3.0 and 4.5 ml/min; insulin increased to 25 mU/ml; insulin omitted; 2.8 mM and 11.2 mM glucose; 144 beats/min and 96 paired stimuli/min; and anoxia. Under all conditions studied the phosphorylation (hexokinase) reaction was rate limiting relative to transport. Compared with control conditions, the phosphorylation rate constant was significantly increased with 2.8 mM glucose as well as in anoxia. With 4.5 ml/min and 11.2 mM glucose, conditions that should increase glucose flux into tissue without increasing demand, the phosphorylation rate constant decreased significantly. With 11.2 mM glucose, 96 paired stimuli/min, and anoxia without insulin, a significant increase in the hydrolysis rate of FDG 6-phosphate was observed and suggests that hydrolysis is also an important mechanism for regulating the MMRGlc. Increased transport rate constants were observed with increased flow rates, 96 paired stimuli/min, and anoxia at 96 beats/min. The LC was not significantly different from control in 11 of 14 conditions studied. Therefore, under most conditions, an average LC can be used to calculate MMRGlc estimates.
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6

Pai, Cheng-Yu, and William E. Lynch. "MPEG-4 constant-quality constant-bit-rate control algorithms." Signal Processing: Image Communication 21, no. 1 (January 2006): 67–89. http://dx.doi.org/10.1016/j.image.2005.06.006.

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7

Kauhanen, Henri, and George Walkden. "Deriving the Constant Rate Effect." Natural Language & Linguistic Theory 36, no. 2 (September 15, 2017): 483–521. http://dx.doi.org/10.1007/s11049-017-9380-1.

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8

Mandel, A. M., and A. G. Palmer. "Measurement of Relaxation-Rate Constants Using Constant-Time Accordion NMR Spectroscopy." Journal of Magnetic Resonance, Series A 110, no. 1 (September 1994): 62–72. http://dx.doi.org/10.1006/jmra.1994.1182.

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9

Zhai, Guan, Huadong Meng, and Xiqin Wang. "A Constant Speed Changing Rate and Constant Turn Rate Model for Maneuvering Target Tracking." Sensors 14, no. 3 (March 13, 2014): 5239–53. http://dx.doi.org/10.3390/s140305239.

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10

Corcelli, S. A., J. A. Rahman, and J. C. Tully. "Efficient thermal rate constant calculation for rare event systems." Journal of Chemical Physics 118, no. 3 (January 15, 2003): 1085–88. http://dx.doi.org/10.1063/1.1529192.

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11

Dlouhý, Antonín, Subodh Kumar, and Erwin Pink. "Dislocation structures due to inhomogeneous flow in constant-stress-rate and constant-strain-rate tests." Scripta Metallurgica et Materialia 30, no. 1 (January 1994): 129–32. http://dx.doi.org/10.1016/0956-716x(94)90371-9.

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12

Allen, G., and Z. Hrubec. "The Monozygotic Twinning Rate: Is It Really Constant?" Acta geneticae medicae et gemellologiae: twin research 36, no. 3 (July 1987): 389–96. http://dx.doi.org/10.1017/s0001566000006152.

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AbstractWeinberg's difference method, applied to twin birth statistics, usually shows a dependence of the MZ rate on maternal age, like a thin shadow of the DZ rate. Some of this MZ variation could be explained away by James' finding of more same-sex (SS) than opposite-sex (OS) DZ twins, the excess being mistakenly classified as MZ by Weinberg's assumption of equal numbers. By several methods one can extract a Constant value for the MZ rate and a Constant or nearly Constant value for the DZ SS/OS ratio, but these “constants” are actually arbitrary and they vary between populations.
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13

Ma, Minyoung, and Dongkyu Lim. "Two Middle School Students’ Understanding of ‘Constant Rate of Change’ and ‘Constant Rate of Change of Rate of Change’." School Mathematics 21, no. 3 (September 30, 2019): 607–24. http://dx.doi.org/10.29275/sm.2019.09.21.3.607.

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14

Rodriguez-Hornedo, N. "Evaluation of Growth Rate Constants of Oxalic Acid Dihydrate at Constant Supersaturation." Journal of Pharmaceutical Sciences 75, no. 6 (June 1986): 559–61. http://dx.doi.org/10.1002/jps.2600750607.

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15

Lowery, Birl. "A Portable Constant-rate Cone Penetrometer." Soil Science Society of America Journal 50, no. 2 (March 1986): 412–14. http://dx.doi.org/10.2136/sssaj1986.03615995005000020031x.

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16

Vaid, Yoginder P. "Constant Rate of Loading Nonlinear Consolidation." Soils and Foundations 25, no. 1 (March 1985): 105–8. http://dx.doi.org/10.3208/sandf1972.25.105.

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17

Schnellbacher, Rodney, and Jessica Comolli. "Constant rate infusions in exotic animals." Journal of Exotic Pet Medicine 35 (October 2020): 50–57. http://dx.doi.org/10.1053/j.jepm.2020.07.001.

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18

Rayez, J. C., and W. Forst. "Statistical calculation of unimolecular rate constant." Journal of Chemical Education 66, no. 4 (April 1989): 311. http://dx.doi.org/10.1021/ed066p311.

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19

Hannum, Steven E. "A low-cost constant-rate buret." Journal of Chemical Education 70, no. 12 (December 1993): 1037. http://dx.doi.org/10.1021/ed070p1037.

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20

Bunch, James R., and Ricardo D. Fierro. "A constant-false-alarm-rate algorithm." Linear Algebra and its Applications 172 (July 1992): 231–41. http://dx.doi.org/10.1016/0024-3795(92)90028-9.

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21

SHIRATO, MOMPEI, MASASHI IWATA, MASAHIRO WAKITA, TOSHIRO MURASE, and NIICHI HAYASIII. "Constant-rate expression of semisolid materials." Journal of Chemical Engineering of Japan 20, no. 1 (1987): 1–6. http://dx.doi.org/10.1252/jcej.20.1.

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22

Shaw, Benjamin D., and Jeffrey Lawman. "Analysis of Constant-Rate Aerosol Reactors." Aerosol Science and Technology 20, no. 4 (January 1994): 363–74. http://dx.doi.org/10.1080/02786829408959691.

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23

Alon, Noga, and Amit Weinstein. "Local Correction with Constant Error Rate." Algorithmica 71, no. 2 (July 30, 2013): 496–516. http://dx.doi.org/10.1007/s00453-013-9817-9.

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24

Al-Sheibani, ZaynabTal’at. "Absorbed dose rate constant for 131Iodine." Indian Journal of Science and Technology 4, no. 11 (November 20, 2011): 1407–9. http://dx.doi.org/10.17485/ijst/2011/v4i11.7.

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25

Kamimura, Atsushi, Satoshi Yukawa, and Nobuyasu Ito. "Rate Constant of Kaneko–Yomo Model." Journal of the Physical Society of Japan 74, no. 3 (March 2005): 1071–72. http://dx.doi.org/10.1143/jpsj.74.1071.

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26

HOU, J., X. FANG, H. YIN, and J. LI. "Constant Rate Control for Motion JPEG2000." IEICE Transactions on Information and Systems E89-D, no. 10 (October 1, 2006): 2690–92. http://dx.doi.org/10.1093/ietisy/e89-d.10.2690.

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27

Borovikova, A. I., and V. A. Logvinenko. "Thermal aspects of constant rate transformation." Journal of Thermal Analysis 33, no. 1 (March 1988): 97–106. http://dx.doi.org/10.1007/bf01914588.

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28

Muret, P., and A. Deneuville. "Investigation of metal-semiconductor interface states by constant emission rate and constant capture rate capacitance spectroscopies." Surface Science Letters 168, no. 1-3 (March 1986): A145. http://dx.doi.org/10.1016/0167-2584(86)90506-2.

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29

Muret, P., and A. Deneuville. "Investigation of metal-semiconductor interface states by constant emission rate and constant capture rate capacitance spectroscopies." Surface Science 168, no. 1-3 (March 1986): 830–37. http://dx.doi.org/10.1016/0039-6028(86)90916-7.

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30

Hawker, Darryl W., and Des W. Connell. "Relationships between partition coefficient, uptake rate constant, clearance rate constant and time to equilibrium for bioaccumulation." Chemosphere 14, no. 9 (January 1985): 1205–19. http://dx.doi.org/10.1016/0045-6535(85)90142-0.

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31

Merrick, Mark, and Leonid M. Blumberg. "Optimal heating rate in constant pressure and constant flow gas chromatography." Journal of Separation Science 44, no. 17 (August 6, 2021): 3254–67. http://dx.doi.org/10.1002/jssc.202100506.

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32

Rice, John B. "Constant Drawdown Aquifer Tests: An Alternative to Traditional Constant Rate Tests." Groundwater Monitoring & Remediation 18, no. 2 (May 1998): 76–78. http://dx.doi.org/10.1111/j.1745-6592.1998.tb00617.x.

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33

Gelles, Ran, and Yael T. Kalai. "Constant-Rate Interactive Coding Is Impossible, Even in Constant-Degree Networks." IEEE Transactions on Information Theory 65, no. 6 (June 2019): 3812–29. http://dx.doi.org/10.1109/tit.2019.2904576.

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34

Vogelezang, Michiel. "Steel Wool and Oxygen: How Constant Should a Rate Constant Be?" Journal of Chemical Education 83, no. 2 (February 2006): 214. http://dx.doi.org/10.1021/ed083p214.2.

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35

Nikitin, V. I. "Corrosion cracking of metals at constant stress and constant strain rate." Soviet Materials Science 25, no. 1 (1989): 26–32. http://dx.doi.org/10.1007/bf00727918.

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36

WANG, H., Y. ZHANG, and Y. MU. "Rate Constants for Reactions of •OH with Several Reduced Sulfur Compounds Determined by Relative Rate Constant Method." Acta Physico-Chimica Sinica 24, no. 6 (June 2008): 945–50. http://dx.doi.org/10.1016/s1872-1508(08)60041-8.

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37

Jin, Xin, Rongbin Han, Yuanchen Cui, and Charles J. Glover. "Fast-Rate–Constant-Rate Oxidation Kinetics Model for Asphalt Binders." Industrial & Engineering Chemistry Research 50, no. 23 (December 7, 2011): 13373–79. http://dx.doi.org/10.1021/ie201275q.

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38

Kamp, G. "Calculation of Constant-Rate Drawdowns from Stepped-Rate Pumping Tests." Ground Water 27, no. 2 (March 1989): 175–83. http://dx.doi.org/10.1111/j.1745-6584.1989.tb00438.x.

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39

Fellner, Monika, MilMaterials Science and Engineering: A 137 (May 1991): 157–61. http://dx.doi.org/10.1016/0921-5093(91)90330-p.

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40

Sageev, Abraham, and Roland N. Horne. "Interference Between Constant-Rate and Constant-Pressure Reservoirs Sharing a Common Aquifer." Society of Petroleum Engineers Journal 25, no. 03 (June 1, 1985): 419–26. http://dx.doi.org/10.2118/12711-pa.

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Abstract A practical pressure transient analysis method is presented for interpreting interference between two oil fields or an oil field and a gas field sharing a common aquifer. One oil field is approximated as a constant-rate line source. The other interfering field is represented by a finite-radius circular source producing at constant rate or constant pressure. pressure. A rigorous application of the superposition principle is discussed, making use of a new model where a constant rate line source produces exterior to a circular boundary. Both constant pressure and impermeable internal boundaries are considered. Dimensionless pressure drop curves for both boundary conditions are presented. For the case of a line source producing near a constant-pressure internal boundary, producing near a constant-pressure internal boundary, dimensionless curves for the instantaneous rate and the cumulative injection from this internal boundary are given. These curves may be used to forecast the actual injection/production rate and the cumulative injection/ production at the interfering reservoir as a function of time. production at the interfering reservoir as a function of time. Introduction Pressure interference between hydrocarbon reservoirs Pressure interference between hydrocarbon reservoirs situated in a common aquifer is important in understanding and forecasting the behavior of these reservoirs under exploitation. The fluid driving energy stored in a reservoir is a function of its average pressure. Production in one reservoir causes a pressure drawdown at another reservoir and, hence, changes its deliverability and economic value over a long period of time. Bell and Shepherd I considered the pressure behavior of the Woodbine sand in east Texas, which contains several reservoirs. They presented a pressure loss map that shows that production from the east Texas field affected an extensive area of the Woodbine aquifer. Moore and Truby, using an electric analyzer, described the pressure behavior of five producing fields sharing a pressure behavior of five producing fields sharing a common aquifer. They presented pressure histories for each of the five reservoirs. Every pressure history consisted of five pressure drops. The first pressure drop at a reservoir was caused by its own production, to which four interfering pressure drops caused by the neighboring reservoirs were added. The interfering effect of the TXL field on the average pressure at Wheeler field was larger than the drawdown at Wheeler field caused by its own production. production. In describing interference between two reservoirs sharing a common infinite aquifer, some assumptions as to the shape of these reservoirs must be made. Theis presented the solution for a constant-rate line source in presented the solution for a constant-rate line source in an infinite system. Staliman modified this solution for a semi-infinite system bounded by a linear boundary. If the two reservoirs may be approximated by two line sources, their pressure effects may be superposed in space to yield the pressure interference between them. super-position in space is used to assemble the effects of several producing/injecting reservoirs in the same aquifer. producing/injecting reservoirs in the same aquifer. Carslaw and Jaeger presented solutions for a single finite-radius source in an infinite medium producing at either constant rate or constant pressure. Van Everdingen and Hurst applied those solutions to flow in reservoirs. Mortada used those solutions to describe interference between oil fields and, using superposition in space, calculated the pressure response of a reservoir to its own production and to production from an interfering production and to production from an interfering reservoir. If the reservoirs are of finite radii and are not approximated by line sources, the method of superposition in space must be used with care so that the inner boundary conditions are not violated. By superposing a finite-radius source in an infinite system onto another finite-radius source in an infinite system, the inner boundary conditions at both sources are violated. Mortada's results, therefore, are only approximate. Hursts presented a method for calculating pressure interference between finite-radius reservoirs that includes the material-balance equations. Hursts and Mortada also considered interference between oil fields connected to an aquifer with two permeability regions. Mueller and Witherspoon used the finite-radius constant-rate solution and normalized the time scale to describe interference pressure changes. They concluded that, for practical pressure changes. They concluded that, for practical purposes, interference points at a distance larger than 20 times purposes, interference points at a distance larger than 20 times the radius of the source have a line-source response. Uraiet and Raghavan presented interference log-log type curves for a finite-radius source producing at a constant pressure. In this study, two circular reservoirs in an infinite system are considered. One reservoir is approximated as a constant-rate line source. The other reservoir is considered to be a finite-radius source producing at either a constant rate or a constant pressure. Only single-step changes in rate or pressure are discussed, since they are the basis for superposition in time. SPEJ P. 419
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41

Oldersma, H., and P. A. G. Van Bergeijk. "Not so constant! The constant-market-shares analysis and the exchange rate." De Economist 141, no. 3 (September 1993): 380–401. http://dx.doi.org/10.1007/bf01717406.

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42

Reddi, Lakshmi N., Ming Xiao, Malay G. Hajra, and In Mo Lee. "Physical clogging of soil filters under constant flow rate versus constant head." Canadian Geotechnical Journal 42, no. 3 (June 1, 2005): 804–11. http://dx.doi.org/10.1139/t05-018.

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In this study, the differences in soil filter clogging are evaluated under two operating conditions: constant head and constant flow rate. Whereas filters placed around well screens and leachate collection systems are subjected to a constant flow rate, filters in earth dams and pavement drainage systems operate under constant or slightly varying heads. In this study, the experiments revealed similar permeability reductions with respect to time in both cases; however, the permeability reduction under the condition of constant head occurred in much fewer pore volumes than under the condition of constant flow rate. Self-filtration appeared to be greater under the condition of constant head. The physical clogging model developed for the conditions of constant flow rate and constant head showed good qualitative agreement with experimental observations.Key words: particle, clogging, filter, constant, head, flow.
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43

Fahr, Hans J., and Michael Heyl. "A universe with a constant expansion rate." Physics & Astronomy International Journal 4, no. 4 (August 12, 2020): 156–63. http://dx.doi.org/10.15406/paij.2020.04.00215.

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44

Sajjad, Mohsin, and Akira Otsuki. "Coupling Flotation Rate Constant and Viscosity Models." Metals 12, no. 3 (February 26, 2022): 409. http://dx.doi.org/10.3390/met12030409.

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In a flotation process, the particle–bubble and particle–particle interactions are key factors influencing collection efficiencies. In this work, the generalized Sutherland equation collision model and the modified Dobby–Finch attachment model for potential flow conditions were used to calculate the efficiencies of particle–bubble collision and attachment, respectively, for a flotation particle size of 80 μm. The negative effects of increase in the suspension viscosity due to the presence of fine particles on the flotation performance of fine particles have been reported, but there is no overarching model coupling the suspension viscosity and the flotation performance in the literature. Therefore, our study addressed this very important research gap and incorporated the viscosity model as a function of solid concentration, shear rate, and particle size into a flotation rate constant model that was proposed and conducted for the first time. This is quite a unique approach because the previously developed flotation rate constant model has never been coupled with a suspension rheology model taking into account the solid particle concentration and shear rate, although they are very important flotation variables in practice. The effect of the presence of ultra-fine/fine particles on the viscosity of the suspension and the flotation efficiencies and rate constant of flotation particle size of 80 μm were also investigated in order to better understand the mechanism of the problematic behavior of ultra-fine/fine particles in flotation. This coupling study started with the simplest case: flowing suspensions of inert, rigid, monomodal spherical particles (called hard spheres). Even for hard spheres, the effect of shear rate and particle size which produces deviation from the ideal case (constant viscosity at constant temperature regardless of shear rate) was clearly identified. It was found that the suspension viscosity increases with the decrease in fine/ultra-fine particle size (i.e., 1 µm–8 nm) and at higher solid particle concentration. Then, the colloidal particle suspensions, where interparticle forces play a significant role, were also studied. The suspension viscosity calculated for both cases was incorporated into the flotation efficiencies and rate constant models and discussed in terms of the effects of the presence of ultra-fine and fine particles on the flotation kinetics of flotation particle size of 80 μm.
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45

A. Efhema1, Anud M. "RATE CONSTANT OF SOME AMINO DERIVATIVES DISSOCIATION." iraq journal of market research and consumer protection 13, no. 1 (June 30, 2021): 148–66. http://dx.doi.org/10.28936/jmracpc13.1.2021.(15).

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Amino glycoside derivation including, Neomycin, Streptomycin, Kanamycin and Gentamycin with special reagents, which are benzoylchloride; benzene sulfonyl chloride and phthalic anhydride were made to enhance Uv-detectability for HPLC analysis. But there are many problems facing pre column derivation and in order to solve this, the conductivity of antibiotic derivatives were used to calculate the dissociation constant and the hydrolysis rate which determined concern type reaction. In addition the characteristics those controlling the hydrolysis of antibiotic-derivatives were investigated.
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46

Motohashi, Hayato, Alexei A. Starobinsky, and Jun'ichi Yokoyama. "Inflation with a constant rate of roll." Journal of Cosmology and Astroparticle Physics 2015, no. 09 (September 7, 2015): 018. http://dx.doi.org/10.1088/1475-7516/2015/09/018.

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47

Giovannelli, Edoardo, Gianni Cardini, Cristina Gellini, Giangaetano Pietraperzia, and Riccardo Chelli. "Annealed importance sampling with constant cooling rate." Journal of Chemical Physics 142, no. 7 (February 21, 2015): 074102. http://dx.doi.org/10.1063/1.4907883.

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48

Nack, D. S., and K. C. Dyer. "A constant slew rate Ethernet line driver." IEEE Journal of Solid-State Circuits 36, no. 5 (May 2001): 854–58. http://dx.doi.org/10.1109/4.918925.

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49

Ibbott, Geoffrey S., Ali S. Meigooni, and Darren M. Gearheart. "Monte Carlo determination of dose rate constant." Medical Physics 29, no. 7 (June 28, 2002): 1637–38. http://dx.doi.org/10.1118/1.1489046.

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50

Ninkovic, M. M., and J. J. Raicevic. "The Air-kerma Rate Constant of 192Ir." Health Physics 64, no. 1 (January 1993): 79–81. http://dx.doi.org/10.1097/00004032-199301000-00011.

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