Relevant bibliographies by topics / Empirical equation

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Empirical equation'

Author: Grafiati
Published: 4 June 2021
Last updated: 19 February 2022

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Journal articles on the topic "Empirical equation"

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UENO, Masakatsu, and Kametaro ITOH. "Empirical Verification of GROSSMANN'S Equation." Tetsu-to-Hagane 74, no. 5 (1988): 918–24. http://dx.doi.org/10.2355/tetsutohagane1955.74.5_918.

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Zimdahl, Robert L., Brian K. Cranmer, and Walter W. Stroup. "Use of Empirical Equations to Describe Dissipation of Metribuzin and Pendimethalin." Weed Science 42, no. 2 (June 1994): 241–48. http://dx.doi.org/10.1017/s0043174500080346.

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Four equations were evaluated as predictors of the rate of herbicide dissipation in soil. A biexponential equation was superior to the first-order equation for metribuzin and pendimethalin dissipation under five moisture levels and three temperatures in laboratory and field studies. The Hoerl function, adapted in the course of this work, is also a good descriptor. The first-order equation predicts slower initial and more rapid later dissipation than actually occurs and these deficiencies are not shared by the biexponential or Hoerl equations. The first-order equation ignores small residues remaining late in the dissipation process. These residues are important from an environmental point of view and the Hoerl and biexponential equations are more capable of dealing with them.
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Samdarshi, S. K., and S. C. Mullick. "Analytical Equation for the Top Heat Loss Factor of a Flat-Plate Collector With Double Glazing." Journal of Solar Energy Engineering 113, no. 2 (May 1, 1991): 117–22. http://dx.doi.org/10.1115/1.2929955.

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An analytical equation for the top heat loss factor of a flat-plate collector with double glazing has been developed. The maximum computational errors resulting from the use of this equation are plus or minus three percent compared to numerical solution of the heat balance equations. The equation is considerably more accurate than the currently used semi-empirical equations over the entire range of variables covered. It is found that the computational errors resulting from simplification of the proposed equation by approximation of the individual heat-transfer coefficients are much lower than the errors resulting from the use of semi-empirical equations.
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Wiśniewski, Jerzy Witold. "Empirical Econometric Model of an Enterprise." Folia Oeconomica Stetinensia 16, no. 1 (December 1, 2016): 232–47. http://dx.doi.org/10.1515/foli-2016-0015.

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Abstract This work will present an empirical econometric model describing an enterprise within the category of medium-sized companies (according to European Union classification). The company, code-named ENERGY, carries out a manufacturing, commercial, and service business activity. The statistical data used was in the form of quarterly time series, containing 24 statistical observations from the years 2008–2013. A hypothetical model of the enterprise is a system of interdependent equations. The econometric model is composed of seven stochastic equations. The empirical model is missing the equation describing investments in the enterprise. It results from the fact, that during the years 2008–2013 the company suffered meagre investments. Investment output equation, therefore, does not provide any relevant systemic information for the management, since most statistical information in the time series assumes zero values. An empirical model of the company ENERGY is a system of interdependent equations, with statistically significant feedback between labour efficiency (EFEMP) and the average pay per 1 employee (APAY). Additionally, there is recurrence of the relationships between the fixed assets (FIXAS), employment volume (EMP), and the size of the net sales income (SNET). The empirical equations of the model are characterized by a description accuracy of individual endogenous variables. The model also has good decision-making and forecasting qualities.
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Lorenzoni, M., D. Giannetto, G. Maio, E. Pizzul, L. Pompei, P. Turin, S. Vincenzi, and A. Crivelli. "Empirical standard mass equation forSalmo marmoratus." Journal of Fish Biology 81, no. 6 (October 19, 2012): 2086–91. http://dx.doi.org/10.1111/j.1095-8649.2012.03459.x.

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Kolin, Branko, Gradimir Danon, and Tatjana Stevanovic Janezic. "Empirical Equation for Limit of Hygroscopicity." Drying Technology 13, no. 8-9 (January 1995): 2133–39. http://dx.doi.org/10.1080/07373939508917069.

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Wu, N. S., and W. Wei. "Empirical equation for relative non-overlap." Chromatographia 35, no. 7-8 (April 1993): 471. http://dx.doi.org/10.1007/bf02278606.

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Wu, N. S., and W. Wei. "Empirical equation for relative non-overlap." Chromatographia 34, no. 9-10 (November 1992): 450–52. http://dx.doi.org/10.1007/bf02290234.

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Leary, Rolfe A. "Near-normal, empirical, and identity yield tables for estimating stand growth." Canadian Journal of Forest Research 21, no. 3 (March 1, 1991): 353–62. http://dx.doi.org/10.1139/x91-043.

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Historically, forest growth was estimated using a normal or near-normal yield table as a density standard, and a relative density change equation to estimate approach to the standard. Although normal yield tables have come under intense criticism, critics have generally ignored the relative density change equation. If a yield table captures the "true" relations between volume, age, and site for a species, the relative density change equation can be a simple function of initial relative density and age. If a yield table does not capture the true relations between volume, site, and age, the inadequacy can be overcome by developing more complex relative density change equations, i.e., by transferring representation burden to the change equation. Introduced in the present paper is the concept of an identity yield table (all entries are one), wherein the entire burden of representing the relations between volume, site, and age is transferred from a density standard to a relative density change equation. Modern whole stand (net) growth models are equivalent to historical relative density change equations based on identity yield tables. The conjecture of a continuum of methods to estimate growth from near-normal to empirical to identity yield tables, each with an appropriate relative density change equation, and each equally accurate, is tested on Wisconsin jack pine (Pinusbanksiana Lamb.). The empirical yield table and its relative density change equation were more biased than near-normal and identity-based projection systems.
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Saglam, Ugur, Kemal Ulutas, Yagmur Parim, Sahin Yakut, and Deniz Deger. "A theoretical approach to conductivity." International Journal of Geometric Methods in Modern Physics 17, no. 01 (December 18, 2019): 2050004. http://dx.doi.org/10.1142/s0219887820500048.

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In amorphous semiconductors and insulators, the using conductivity formulas are semi-empirical and have no satisfying physical explanations. A conductivity equation has been derived by Debye for the response of ideal materials which is rarely observed in practice, but a general conductivity equation which includes the previous empirical equations via a correct choice of arbitrary parameters and moreover totally theoretical derivation had to be generated. Hence, to determine the motion of electrons in the amorphous environment, we defined the equation of motion including viscous forces as a function of coordinates, their derivatives and time variables. We developed a fractional form of this equation over these three variables and finally obtained the most generalized equation of motion, which counts the overall interactions by a fractional form as a variation of two variable. The improved formula, called the stretched Havriliak–Negami equation, has the same form and behavior as the semi-empirical equation and reducible to the Cole–Cole and Cole–Davidson-type of conductivity.
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Dissertations / Theses on the topic "Empirical equation"

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Yuan, Yiyong Kolenikov Stanislav. "Empirical likelihood approach estimation of structural equation models." Diss., Columbia, Mo. : University of Missouri--Columbia, 2007. http://hdl.handle.net/10355/5029.

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The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Title from PDF of title page (University of Missouri--Columbia, viewed on September 15, 2009). Thesis advisor: Dr. Stanislav Kolenikov. Includes bibliographical references.
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Romijn, Reinout Carel [Verfasser]. "Empirical Model Reduction of Differential-Algebraic Equation Systems / Reinout Carel Romijn." Aachen : Shaker, 2016. http://d-nb.info/1084536692/34.

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Romijn, Reinout [Verfasser]. "Empirical Model Reduction of Differential-Algebraic Equation Systems / Reinout Carel Romijn." Aachen : Shaker, 2016. http://nbn-resolving.de/urn:nbn:de:101:1-201602282397.

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Dhuttargaon, Mukund S. Cheraghi S. Hossein. "An empirical tool life equation for diamond interlocked tool based on delamination." Diss., A link to full text of this thesis in SOAR, 2007. http://soar.wichita.edu/dspace/handle/10057/1126.

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Thesis (M. S.)--Wichita State University, College of Engineering, Dept. of Industrial and Manufacturing Engineering.
"May 2007." Title from PDF title page (viewed on Dec. 20, 2007). Thesis adviser: S. Hossein Cheraghi. Includes bibliographic references (73-76 leaves).
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Lu, Yinghua. "Empirical Likelihood Inference for the Accelerated Failure Time Model via Kendall Estimating Equation." Digital Archive @ GSU, 2010. http://digitalarchive.gsu.edu/math_theses/76.

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In this thesis, we study two methods for inference of parameters in the accelerated failure time model with right censoring data. One is the Wald-type method, which involves parameter estimation. The other one is empirical likelihood method, which is based on the asymptotic distribution of likelihood ratio. We employ a monotone censored data version of Kendall estimating equation, and construct confidence intervals from both methods. In the simulation studies, we compare the empirical likelihood (EL) and the Wald-type procedure in terms of coverage accuracy and average length of confidence intervals. It is concluded that the empirical likelihood method has a better performance. We also compare the EL for Kendall’s rank regression estimator with the EL for other well known estimators and find advantages of the EL for Kendall estimator for small size sample. Finally, a real clinical trial data is used for the purpose of illustration.
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Stripling, Gwendolyn D. "An Empirical Assessment of Energy Management Information System Success Using Structural Equation Modeling." NSUWorks, 2017. http://nsuworks.nova.edu/gscis_etd/1019.

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The Energy Industry utilizes Energy Management Information Systems (EMIS) smart meters to monitor utility consumers’ energy consumption, communicate energy consumption information to consumers, and to collect a plethora of energy consumption data about consumer usage. The EMIS energy consumption information is typically presented to utility consumers via a smart meter web portal. The hope is that EMIS web portal use will aid utility consumers in managing their energy consumption by helping them make effective decisions regarding their energy usage. However, little research exists that evaluates the effectiveness or success of an EMIS smart meter web portal from a utility consumer perspective. The research goal was to measure EMIS smart meter web portal success based on the DeLone and McLean Information Success Model. The objective of the study was to investigate the success constructs system quality, information quality, service quality, use, and user satisfaction, and determine their contribution to EMIS success, which was measured as net benefits. The research model used in this study employed Structural Equation Modeling (SEM) based on Partial Least Squares (PLS) to determine the validity and reliability of the measurement model and to evaluate the hypothetical relationships in the structural model. The significant validity and reliability measures obtained in this study indicate that the DeLone and McLean Information Success Model (2003) has the potential for use in future EMIS studies. The determinants responsible for explaining the variance in net benefits were EMIS use and user satisfaction. Based on the research findings, several implications and future research are stated and proposed.
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Brown, Chad M. "An Empirical Test of the Nontraditional Undergraduate Student Attrition Model Using Structural Equation Modeling." Ohio University / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1176485072.

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Romijn, Reinout Verfasser], Wolfgang [Akademischer Betreuer] Marquardt, and Martin A. [Akademischer Betreuer] [Grepl. "Empirical model reduction of differential-algebraic equation systems / Reinout Romijn ; Wolfgang Marquardt, Martin Alexander Grepl." Aachen : Universitätsbibliothek der RWTH Aachen, 2016. http://d-nb.info/1130326411/34.

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Romijn, Reinout [Verfasser], Wolfgang [Akademischer Betreuer] Marquardt, and Martin A. [Akademischer Betreuer] Grepl. "Empirical model reduction of differential-algebraic equation systems / Reinout Romijn ; Wolfgang Marquardt, Martin Alexander Grepl." Aachen : Universitätsbibliothek der RWTH Aachen, 2016. http://nbn-resolving.de/urn:nbn:de:hbz:82-rwth-2016-001704.

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Brown, Robert Winston, and rwb@rmit edu au. "Electrical and Thermal Modelling of Low Power Metallised Polypropylene Capacitors." RMIT University. Electrical and Computer Engineering, 2007. http://adt.lib.rmit.edu.au/adt/public/adt-VIT20080130.155318.

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Metallised polypropylene (MPP) capacitors, the dominant capacitor type used in a wide range of power and electronic circuit applications, offer high volumetric capacitor density, low cost, excellent frequency characteristics and a unique ability to recover from point failures in the dielectric film. However MPP capacitors have a generic weakness that is not well understood, failure of the self-healing process leading to ongoing catastrophic failure. The work described in this thesis includes the derivation of an improved electrical model of a capacitor and the uncovering of a mechanism for the catastrophic failure mode. Corrosion of the thin metallic field is firmly linked to drastic increases in metal film current densities and generation of hot spots in capacitors. In the work, novel formulae were derived relating capacitor parameters such as equivalent series resistance and equivalent series capacitance to frequency and physical characteristics such as metal film resistivity and physical dimensions of multiple layer capacitors. Modelling using numerical methods and diffusion equation showed that capacitors with double-end connection topology have more uniform voltage and power distribution than single-end connected capacitors. External characteristics of both connection topologies were shown to be virtually identical up to frequencies well above typical self-resonance. The aggregate spatial distribution of power from both layers and the voltage across the dielectric were found to be fundamentally different in the two circuit connection topologies. In this work it was shown that above singularity frequencies defined by distributed capacitance and metal film spreading resistance, equivalent series resistance and capacitance both fall with the square root of frequency Analysis of the inductance of typical MPP capacitors for single-end and double-end connected topologies and for circumferentially connected capacitor metallization showed that the magnitude and effect of distributed inductance in typical MPP power capacitors was insignificant compared to packaging inductance. Thermal and electrical modelling and experimental measurements showed that corrosion effects could readily account for the generic catastrophic failure mode of metallised polypropylene capacitors. Modelling showed that remnant vestiges of metal bridging corrosion gaps between the schooping and the metallic film could also pose serious thermal danger to the affected capacitor. Fusing current modelling and experimental measurement showed that fusing in metallic films typically occurred for current densities of several hundred thousand amperes per square centimetre. The partial disconnection of the metallic layers from the schooping edge by corrosion for example, was shown to result in large increases in dissipation factor and power loss in a capacitor readily explaining how capacitors
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Books on the topic "Empirical equation"

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Ziebart, David Allen. The information content of annual accounting data: An empirical modeling approach using structural equation techniques. [Urbana]: College of Commerce and Business Administration,University of Illinois at Urbana-Champaign, 1986.

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Budahn, James R. An empirical equation for modeling rare earth element mineral-mineral partitioning: An application to mantle metasomatism. Denver, CO: U.S. Geological Survey, 1995.

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Wang, Catherine Lihong. Knowledge management orientation, organisational capabilities and performance: An empirical test of performance relationships using structural equation modeling. Wolverhampton: University of Wolverhampton, 2003.

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Martín, Rama. Empirical investment equations in developing countries. Washington, DC: Macroeconomic Adjustment and Growth, Country Economics Dept., World Bank, 1990.

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Gertler, Mark. Interest rate spreads, credit constraints, and investment fluctuations: An empirical investigation. Cambridge, MA: National Bureau of Economic Research, 1990.

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Tschernitz, John L. Empirical equations for estimating drying times of thick rotary-cut veneer in press and jet dryers. Madison, WI: U.S. Dept. of Agriculture, Forest Service, Forest Products Laboratory, 1985.

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Wetzel, Bruce M. Energy-related attitude/belief variables in conventional econometric equations: An empirical approach applied to residential energy consumption. Santa Monica, CA: Rand, 1988.

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Wetzel, Bruce M. Energy-related attitude/belief variables in conventional econometric equations: An empirical approach applied to residential energy consumption. Santa Monica, CA: Rand, 1988.

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Wetzel, Bruce M. Energy-related attitude/belief variables in conventional econometric equations: An empirical approach applied to residential energy consumption. Santa Monica, CA: Rand, 1988.

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M, Sardar. Digitalisation of Supply Chain Management and Firm Performance: Structural Equation Modelling and Empirical Findings. Nova Science Publishers, Incorporated, 2020.

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Book chapters on the topic "Empirical equation"

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Lee, Min G., Akihiko Oba, and Hideki Takayasu. "Parameter Estimation of a Generalized Langevin Equation of Market Price." In Empirical Science of Financial Fluctuations, 260–70. Tokyo: Springer Japan, 2002. http://dx.doi.org/10.1007/978-4-431-66993-7_28.

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Tabata, Minoru, Akira Ide, Nobuoki Eshima, Ichiro Takagi, and Yasuhiro Takei. "A functional-analytic and numerical-analytic approach to nonlinear economic models described by the master equation." In Empirical Science of Financial Fluctuations, 304–11. Tokyo: Springer Japan, 2002. http://dx.doi.org/10.1007/978-4-431-66993-7_33.

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Jian, Xiao, Cui Hao, Qiu Guibao, and Yang Yang. "An Empirical Equation to Predict the Porosity of Titanium Foams." In Characterization of Minerals, Metals, and Materials 2016, 27–34. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2016. http://dx.doi.org/10.1002/9781119263722.ch4.

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Miyamoto, Michiko, Yuji Kaneki, and Yuta Misumi. "Empirical Analysis of Japanese Football Games Using Structural Equation Modeling." In Advances in Intelligent Systems and Computing, 109–23. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41953-4_10.

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Girko, V. L., and A. K. Gupta. "Canonical equation for the resolvent of empirical covariance matrices pencil." In Multidimensional Statistical Analysis and Theory of Random Matrices, edited by A. K. Gupta and V. L. Girko, 41–60. Berlin, Boston: De Gruyter, 1996. http://dx.doi.org/10.1515/9783110916690-007.

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Jian, Xiao, Cui Hao, Qiu Guibao, and Yang Yang. "An Empirical Equation to Predict the Porosity of Titanium Foams." In Characterization of Minerals, Metals, and Materials 2016, 27–34. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-48210-1_4.

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Sørensen, Bjarne Taulo, and Ana Alina Tudoran. "An Empirical Comparison of Exploratory Versus Conventional Structural Equation Modelling." In Developments in Marketing Science: Proceedings of the Academy of Marketing Science, 497–505. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10951-0_185.

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Temme, Dirk, John Williams, and Lutz Hildebrandt. "Structural Equation Models for Finite Mixtures — Simulation Results and Empirical Applications." In Compstat, 569–74. Heidelberg: Physica-Verlag HD, 2002. http://dx.doi.org/10.1007/978-3-642-57489-4_88.

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Lee, Cheng-Few, John Lee, Jow-Ran Chang, and Tzu Tai. "Application of Simultaneous Equation in Finance Research: Methods and Empirical Results." In Essentials of Excel, Excel VBA, SAS and Minitab for Statistical and Financial Analyses, 969–91. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-38867-0_31.

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Lu, Yinghua, and Yichuan Zhao. "Empirical Likelihood for the AFT Model Using Kendall’s Rank Estimating Equation." In ICSA Book Series in Statistics, 303–11. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12694-4_18.

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Conference papers on the topic "Empirical equation"

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Roy, Subhro, Shyam Upadhyay, and Dan Roth. "Equation Parsing : Mapping Sentences to Grounded Equations." In Proceedings of the 2016 Conference on Empirical Methods in Natural Language Processing. Stroudsburg, PA, USA: Association for Computational Linguistics, 2016. http://dx.doi.org/10.18653/v1/d16-1117.

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Cundin, Luisiana X., William P. Roach, and Nancy Millenbaugh. "Empirical comparison of Pennes' bio-heat equation." In SPIE BiOS: Biomedical Optics, edited by Steven L. Jacques, E. Duco Jansen, and William P. Roach. SPIE, 2009. http://dx.doi.org/10.1117/12.805577.

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Ortega Vivas, C. A., S. Barraga´n Gonza´lez, and J. M. Garibay Cisneros. "An Empirical Equation for Flow Through Porous Media." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-79138.

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This study analyses the macroscopic flow through a two dimensional porous medium model by numerical and experimental methods. The objective of this research is to develop an empirical model by which the pressure drop can be obtained. In order to construct the model, a series of blocks are used as an idealized pressure drop device, so that the pressure drop can be calculated. The range of porosities studied is between 28 and 75 per cent. It is found that the pressure drop is a combination of viscosity and inertial effects, the later being more important as the Reynolds number is increased. The empirical equation obtained in this investigation is compared with the Ergun equation.
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Margueron, Jérôme, and Rudiney Casali. "Empirical equation of state for dense nucleonic matter." In Proceedings of the MG14 Meeting on General Relativity. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813226609_0436.

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Salazar, H. "Empirical Distance-Overlap Equation in External Electron Beams." In MEDICAL PHYSICS: Eighth Mexican Symposium on Medical Physics. AIP, 2004. http://dx.doi.org/10.1063/1.1811839.

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Hsu, Min-Hsuan, Chang-Chun Lee, and Kuo-Ning Chiang. "A Modified Acceleration Factor Empirical Equation for BGA Type Package." In 2017 IEEE 67th Electronic Components and Technology Conference (ECTC). IEEE, 2017. http://dx.doi.org/10.1109/ectc.2017.28.

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Sharif, Sami M., and Iman D. Abdalla. "An Empirical Equation for Predicting Fractional Bandwidth of Pifa Antenna." In 2018 International Conference on Computer, Control, Electrical, and Electronics Engineering (ICCCEEE). IEEE, 2018. http://dx.doi.org/10.1109/iccceee.2018.8515775.

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Ming Ye, Yong-ning He, and Hui Zhu. "Empirical equation for carrier power dependence of passive intermodulation product." In 2015 IEEE International Wireless Symposium (IWS). IEEE, 2015. http://dx.doi.org/10.1109/ieee-iws.2015.7164600.

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Möderl, M., R. Sitzenfrei, and W. Rauch. "Empirical Equation for Spacing of Ground Water Heat Pump Systems." In World Environmental and Water Resources Congress 2010. Reston, VA: American Society of Civil Engineers, 2010. http://dx.doi.org/10.1061/41114(371)75.

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Pyalling, A. A., Mark Elert, Michael D. Furnish, William W. Anderson, William G. Proud, and William T. Butler. "SEMI EMPIRICAL MULTI PHASE EQUATION OF STATE OF LIQUID HYDROGEN." In SHOCK COMPRESSION OF CONDENSED MATTER 2009: Proceedings of the American Physical Society Topical Group on Shock Compression of Condensed Matter. AIP, 2009. http://dx.doi.org/10.1063/1.3295291.

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Reports on the topic "Empirical equation"

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HU, T. A. EMPIRICAL RATE EQUATION MODEL & RATE CALCULATIONS OF HYDROGEN GENERATION FOR HANFORD TANK WASTE. Office of Scientific and Technical Information (OSTI), September 2004. http://dx.doi.org/10.2172/833516.

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HU, T. A. Empirical rate equation model and rate calculations of hydrogen generation for Hanford tank waste. Office of Scientific and Technical Information (OSTI), July 1999. http://dx.doi.org/10.2172/797484.

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Tallent, O. K., E. W. McDaniel, and T. T. Godsey. Fixation of waste materials in grouts. Part II. An empirical equation for estimating compressive strength for grouts from different wastes. Office of Scientific and Technical Information (OSTI), April 1986. http://dx.doi.org/10.2172/5957782.

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Ndulu, Benno, Cornel Joseph, and Karline Tryphone. Fiscal Regimes and Digital Transformation in Sub-Saharan Africa. Digital Pathways at Oxford, March 2021. http://dx.doi.org/10.35489/bsg-dp-wp_2021/01.

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In this paper we investigate how the fiscal authorities, through tax policies or fiscal incentives, can play an important role in supporting digitalisation of the economy (digital transformation) to exploit its opportunities. Our approach is to track the influence of these policies indirectly through relevant determinants of internet adoption (connectivity and user enablers). Hence, we first establish empirically the influence of these enablers on internet use by estimating a reduced form equation of determinants of internet adoption (both demand- and supply-side factors). Then we assess the influence of a country’s fiscal policy stance on some of these enablers or determinants (direction and extent) throughout the internet value chain. Using these transmission mechanisms, we estimate the influence of the fiscal regime on digitalisation. We draw on our own empirical analysis and other relevant studies to support our recommendations to the fiscal authorities. Our findings emphasise the importance of trade-offs between short-term revenue objectives and the longer-term opportunity costs of higher revenue, enabled by the large positive externality effects of the sector, generating higher social returns than those accruing privately.
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Thornton, Daniel L. Should Consumer Expenditures be the Scale Variable in Empirical Money Demand Equations? Federal Reserve Bank of St. Louis, 1988. http://dx.doi.org/10.20955/wp.1988.003.

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