Relevant bibliographies by topics / Equation statics

Contents

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

Academic literature on the topic 'Equation statics'

Author: Grafiati
Published: 28 May 2022
Last updated: 30 July 2025

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Journal articles on the topic "Equation statics"

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Zhao, Jing-Shan, Xiao-Cheng Sun, and Song-Tao Wei. "Kinematics and Statics of the Gough-Stewart Platform." Applied Sciences 13, no. 18 (2023): 10150. http://dx.doi.org/10.3390/app131810150.

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This paper presents an algorithm for the kinematics and statics analysis of a Gough–Stewart platform. Through defining the velocity screw, the relative angular and linear velocities of a single rigid body can be expressed as a single vector. The velocity screw equations of various mechanisms are deduced in detail, the forward and inverse kinematics of a parallel mechanism can be solved through the velocity screw equation. Similarly, the definition of the force screw allows all constraint forces and torques of a single rigid body to be expressed using a single vector, and the static screw equat
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Basheleishvili, M. "The Three-Dimensional Problem of Statics of the Elastic Mixture Theory with Displacements Given on the Boundary." gmj 6, no. 6 (1999): 517–24. http://dx.doi.org/10.1515/gmj.1999.517.

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Abstract The first three-dimensional boundary value problem is considered for the basic equations of statics of the elastic mixture theory in the finite and infinite domains bounded by the closed surfaces. It is proved that this problem splits into two problems whose investigation is reduced to the first boundary value problem for an elliptic equation which structurally coincides with an equation of statics of an isotropic elastic body. Using the potential method and the theory of Fredholm integral equations of second kind, the existence and uniqueness of the solution of the first boundary val
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Basheleishvili, M. "Application of Analogues of General Kolosov–Muskhelishvili Representations in the Theory of Elastic Mixtures." gmj 6, no. 1 (1999): 1–18. http://dx.doi.org/10.1515/gmj.1999.1.

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Abstract The existence and uniqueness of a solution of the first, the second and the third plane boundary value problem are considered for the basic homogeneous equations of statics in the theory of elastic mixtures. Applying the general Kolosov–Muskhelishvili representations from [Basheleishvili, Georgian Math. J. 4: 223–242, 1997], these problems can be splitted and reduced to the first and the second boundary value problem for an elliptic equation which structurally coincides with the equation of statics of an isotropic elastic body.
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Wang, Shao Feng. "A unified dislocation equation from lattice statics." Journal of Physics A: Mathematical and Theoretical 42, no. 2 (2008): 025208. http://dx.doi.org/10.1088/1751-8113/42/2/025208.

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Ferguson, Robert J. "Efficient simultaneous wave-equation statics and trace regularization by series approximation." GEOPHYSICS 75, no. 3 (2010): U19—U28. http://dx.doi.org/10.1190/1.3388468.

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To address the problems of irregular trace spacing and statics correction, simultaneous regularization and wave-equation statics (WE statics) are implemented by least-squares inversion. In general, inversion is found to be intractable in three dimensions, so series approximation is made to reduce significantly the number of required integrals. The resulting operator is suitable for direct inversion or for use with gradient methods. Real and synthetic data are used to determine the viability of the inversion. For synthetic data, even for severe velocity variation and topography, inversion conve
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Wu, Yao Hua. "Based on Quadratic Equations of Tyre Lifting Mechanism before Connecting Rod Combined-Type Modeling Method." Advanced Materials Research 529 (June 2012): 190–94. http://dx.doi.org/10.4028/www.scientific.net/amr.529.190.

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The method of using two equations, a push connecting rod type dump before lifting mechanism of mathematical model, the use of mathematical and mechanical knowledge, establishing geometric equations, establish the statics equation, calculation and analysis, solution binary quadratic equations, get oil cylinder's thrust, and thus for study, so as to further optimized.
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Anderson, James E., and Eric van Wincoop. "Gravity with Gravitas: A Solution to the Border Puzzle." American Economic Review 93, no. 1 (2003): 170–92. http://dx.doi.org/10.1257/000282803321455214.

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Gravity equations have been widely used to infer trade flow effects of various institutional arrangements. We show that estimated gravity equations do not have a theoretical foundation. This implies both that estimation suffers from omitted variables bias and that comparative statics analysis is unfounded. We develop a method that (i) consistently and efficiently estimates a theoretical gravity equation and (ii) correctly calculates the comparative statics of trade frictions. We apply the method to solve the famous McCallum border puzzle. Applying our method, we find that national borders redu
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Schneider, William A., Lindy D. Phillip, and Ernest F. Paal. "Wave‐equation velocity replacement of the low‐velocity layer for overthrust‐belt data." GEOPHYSICS 60, no. 2 (1995): 573–79. http://dx.doi.org/10.1190/1.1443795.

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Seismic land data are commonly plagued by nonhyperbolic distortions induced by a variable near‐surface, low‐velocity layer (LVL). First‐arrival refraction analysis is conventionally employed to estimate the LVL geometry and velocities. Then vertical static time shifts are used to replace the LVL velocities with the more uniform, faster velocities that characterize the underlying refracting layer. This methodology has earned a good reputation as a geophysical data processing tool; however, velocity replacement with static shifts assumes that no ray bending occurred at the LVL base and that wave
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Čaklović, Koraljka, and Lavoslav Čaklović. "Computation of residual statics using projectors." GEOPHYSICS 50, no. 9 (1985): 1502–4. http://dx.doi.org/10.1190/1.1442018.

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The residual statics problem, as we know, is treated as the solution of one linear system of equations. If we assume that the static corrections are “surface consistent,” then we know that time shifts of each trace can be written as the sum of three terms [Formula: see text] where i = 1, …, [Formula: see text] is the shot position index with [Formula: see text] the number of shot positions, j = 1, …, [Formula: see text] is the receiver position index with [Formula: see text] the number of receiver positions, k = 1, …, [Formula: see text] is the common‐depth‐point (CDP) position index with [For
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Chen, Li Wen, Bing Yan Cui, Zhi Jun Wang, Ling Chao Meng, and Zhan Xian Li. "Statics Analysis and Design of the 6-DOF Lower Limb Bionic Leg." Journal of Biomimetics, Biomaterials and Biomedical Engineering 26 (February 2016): 1–12. http://dx.doi.org/10.4028/www.scientific.net/jbbbe.26.1.

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In order to improve ability of walking and crossing the barriers , increase the carrying capacity, and enhance its popularity and adaptability, a novel lower limb bionic leg is presented based on 3-UPS parallel mechanism, which has the characteristics of movement flexible and strong adaptability. It is very important analysis to statics of lower limb bionic leg. Firstly, statics equation of the lower limb bionic leg of driving force and output force is established based on virtual work principle. Secondly, static performance evaluation index is defined and the evaluation index distribution map
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Dissertations / Theses on the topic "Equation statics"

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Филатов, Вл Д., та В. А. Смирнов. "Определение опорных реакций в статически определимых балках и криволинейных стержнях". Thesis, Сумский государственный университет, 2015. http://essuir.sumdu.edu.ua/handle/123456789/39910.

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Рассмотрено четыре задачи: однопролетная одноконсольная и консольная балки, два криволинейных стержня с шарниром. Для первых двух задач предложена следующая методика решения: составление конструктивной и расчетной схем использования принципа освобождаемости от связей и определение степени статической неопределимости. Затем составление 3х независимых уравнений статики, выполнение проверки решения.
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Беловол, В. О., Василь Анатолійович Смірнов, Василий Анатольевич Смирнов та Vasyl Anatoliiovych Smirnov. "Рассмотрение задач прочности и жёсткости при деформации поперечного изгиба с учётом теории обучения". Thesis, Сумский государственный университет, 2015. http://essuir.sumdu.edu.ua/handle/123456789/39900.

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Теория обучения, т.е. дидактика, должна ответить на два главных вопроса: чему учить и как учить. Рассматривая первый вопрос с учётом задачи прочности, вводилось понятие о расчётной схеме и её преобразования из конструктивной. Заменяя связи: шарнирно-подвижную и неподвижную опоры на реакции V,H изучался принцип освобождаемости от связей. С учётом составления трёх независимых уравнений статики отмечалось, что данная балка относится к плоской системе произвольно расположенных сил.
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Mauch, Sean Patrick Meiron Daniel I. "Efficient algorithms for solving static Hamilton-Jacobi equations /." Diss., Pasadena, Calif. : California Institute of Technology, 2003. http://resolver.caltech.edu/CaltechETD:etd-05202003-170423.

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Finch, M. R. "The Painleve-Gambier equation and the relativistic static fluid sphere." Thesis, University of Sussex, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.380529.

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Sotoudeh, Zahra. "Nonlinear static and dynamic analysis of beam structures using fully intrinsic equations." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/41179.

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Beams are structural members with one dimension much larger than the other two. Examples of beams include propeller blades, helicopter rotor blades, and high aspect-ratio aircraft wings in aerospace engineering; shafts and wind turbine blades in mechanical engineering; towers, highways and bridges in civil engineering; and DNA modeling in biomedical engineering. Beam analysis includes two sets of equations: a generally linear two-dimensional problem over the cross-sectional plane and a nonlinear, global one-dimensional analysis. This research work deals with a relatively new set of equations
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Rasch, Christian Mark Anton. "Numerical discretization of static Hamilton-Jacobi equations on triangular meshes." [S.l.] : [s.n.], 2007. http://mediatum2.ub.tum.de/doc/604594/document.pdf.

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Sommerville, Lesley Laverne. "A Parabolized navier-stokes model for static mixers." Thesis, Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/19535.

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Alton, Ken. "Dijkstra-like ordered upwind methods for solving static Hamilton-Jacobi equations." Thesis, University of British Columbia, 2010. http://hdl.handle.net/2429/25030.

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The solution of a static Hamilton-Jacobi Partial Differential Equation (HJ PDE) can be used to determine the change of shape in a surface for etching/deposition/lithography applications, to provide the first-arrival time of a wavefront emanating from a source for seismic applications, or to compute the minimal-time trajectory of a robot trying to reach a goal. HJ PDEs are nonlinear so theory and methods for solving linear PDEs do not directly apply. An efficient way to approximate the solution is to emulate the causal property of this class of HJ PDE: the solution at a particular point only de
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Ruffini, Sara. "Equation based modelling for the energy control of underground station systems." Doctoral thesis, Università Politecnica delle Marche, 2016. http://hdl.handle.net/11566/243131.

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Il lavoro di tesi si è svolto all’interno del progetto europeo Sustainable Energy mAnageMent for Underground Stations (SEAM4US), Grant agreement 285408 del 7°FP, finalizzato allo studio del controllo ottimo dei sistemi energetici nelle stazioni metropolitane, che ha previsto la realizzazione di un pilot nella stazione Passeig de Gracia della metropolitana di Barcellona (SP). Il principale obiettivo della ricerca è stato quindi lo sviluppo di una libreria per la modellazione delle dinamiche energetiche e degli impianti che fosse compatibile con i requisiti imposti dai processi di progettazio
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Mitra, Dhrubaditya. "Studies of Static and Dynamic Multiscaling in Turbulence." Thesis, Indian Institute of Science, 2004. https://etd.iisc.ac.in/handle/2005/122.

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The physics of turbulence is the study of the chaotic and irregular behaviour in driven fluids. It is ubiquitous in cosmic, terrestrial and laboratory environments. To describe the properties of a simple incompressible fluid it is sufficient to know its velocity at all points in space and as a function of time. The equation of motion for the velocity of such a fluid is the incompressible Navier–Stokes equation. In more complicated cases, for example if the temperature of the fluid also fluctuates in space and time, the Navier–Stokes equation must be supplemented by additional equations. Incomp
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Books on the topic "Equation statics"

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L, Daniel P., Armstrong Ernest S, and Institute for Computer Applications in Science and Engineering., eds. A spline-based parameter and static estimation technique for static models of elastic surfaces. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1987.

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Banks, H. Thomas. A spline-based parameter and static estimation technique for static models of elastic surfaces. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1987.

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Rao, Nannapaneni Narayana. Elements of engineering electromagnetics. 3rd ed. Prentice Hall, 1991.

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Rao, Nannapaneni Narayana. Elements of engineering electromagnetics. 4th ed. Prentice Hall, 1994.

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Isogai, Koji. Numerical simulation of dynamic stall of NACA0012 airfoil oscillating near static stall angle using the Navier-Stokes equations. National Aerospace Laboratory, 1992.

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A, Tanner John, Mason Angela J, Langley Research Center, and United States. Army Materiel Command., eds. Quasi-static viscoelastic finite element model of an aircraft tire. National Aeronautics and Space Administration, Langley Research Center, U.S. Army Materiel Command, 1999.

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A, Tanner John, Mason Angela J, Langley Research Center, and United States. Army Materiel Command., eds. Quasi-static viscoelastic finite element model of an aircraft tire. National Aeronautics and Space Administration, Langley Research Center, U.S. Army Materiel Command, 1999.

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P, Guruswamy Guru, and United States. National Aeronautics and Space Administration., eds. Convergence acceleration of a Navier-Stokes solver for efficient static aeroelastic computations. American Institute of Aeronautics and Astronautics, 1995.

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A, Earles James, Armstrong Laboratory (U.S.), University of Illinois at Urbana-Champaign. Dept. of Psychology., and Armstrong Laboratory (U.S.). Manpower and Personnel Research Division., eds. Air Force Officer Qualifying Test (AFOQT): Forms Q development, preliminary equating and operational equating. Air Force Materiel Command, Armstrong Laboratory, Human Resources Directorate, 1997.

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Center, Langley Research, ed. An approximate theoretical method for modeling the static thrust performance of non-axisymmetric two-dimensional convergent-divergent nozzles. National Aeronautics and Space Administration, Langley Research Center, 1995.

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Book chapters on the topic "Equation statics"

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Lurie, A. I. "The fundamental equation of dynamics. Analytical statics." In Analytical Mechanics. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-45677-3_6.

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Seifert, Christian, Sascha Trostorff, and Marcus Waurick. "The Fourier–Laplace Transformation and Material Law Operators." In Evolutionary Equations. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-89397-2_5.

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AbstractIn this chapter we introduce the Fourier–Laplace transformation and use it to define operator-valued functions of ∂t,ν; the so-called material law operators. These operators will play a crucial role when we deal with partial differential equations. In the equations of classical mathematical physics, like the heat equation, wave equation or Maxwell’s equation, the involved material parameters, such as heat conductivity or permeability of the underlying medium, are incorporated within these operators. Hence, these operators are also called “material law operators”. We start our chapter b
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Correnson, Loîc, Etienne Duris, Didier Parigot, and Gilles Roussel. "Equational Semantics." In Static Analysis. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-48294-6_17.

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Thaller, Bernd. "Scattering States." In The Dirac Equation. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-662-02753-0_8.

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Schmerr, Lester W. "Force-Based Methods in Statics." In Algebraic Equations of Linear Elasticity. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-66174-7_3.

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Wijker, Jaap. "Static Equivalent of Miles’ Equation." In Miles' Equation in Random Vibrations. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-73114-8_3.

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Nasre, Rupesh, and Ramaswamy Govindarajan. "Points-to Analysis as a System of Linear Equations." In Static Analysis. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15769-1_26.

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Fecht, Christian, and Helmut Seidl. "An even faster solver for general systems of equations." In Static Analysis. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/3-540-61739-6_42.

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White, Frank M., John L. Hess, and Carl H. Gibson. "Equations for Fluid Statics and Dynamics." In Handbook of Fluid Dynamics and Fluid Machinery. John Wiley & Sons, Inc., 2007. http://dx.doi.org/10.1002/9780470172636.ch1.

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Ovchinnikov, Yuri, and Israel Sigal. "Ginzburg-Landau equation I. Static vortices." In CRM Proceedings and Lecture Notes. American Mathematical Society, 1997. http://dx.doi.org/10.1090/crmp/012/16.

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Conference papers on the topic "Equation statics"

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Zhanyi, Han, Liu Liping*, Shang Xinmin, Hu Xiaoting, and Pan Shunlin. "Wave-equation based wave-field continuation statics technique and its application." In Beijing 2014 International Geophysical Conference & Exposition, Beijing, China, 21-24 April 2014. Society of Exploration Geophysicists and Chinese Petroleum Society, 2014. http://dx.doi.org/10.1190/igcbeijing2014-298.

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Lee, Chan, Jeh Won Lee, and TaeWon Seo. "Geometrical Kinematic Analysis of a Planar Serial Manipulator Using a Barycentric Formula." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46001.

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The kinematics, instantaneous motion, and statics of a manipulator have recently been determined algebraically. In the past, such studies did not provide any intuition about the equation. Robot designers had to use a numerical method or trial-and-error solver with unintuitive equations. Alternatively, all algebraic processes have their own geometrical meaning. Geometric analysis provides intuition for designing the linkages of a robot. Screw theory and barycentric formulas are used to find meaningful geometric measures. The kinematics and statics of a manipulator are described by an axis screw
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Fei, Yaying, Lihua Chen, Xiaozhi Zhang, and Wei Zhang. "Study on the Snap-Through Behavior of Bistable Plates." In ASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/smasis2016-9113.

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This paper aims to analyze snap-through behavior of two-layer cross-ply bistable composite laminate square plates. The analyses consider the factors of laminate thickness, temperature and external applied force. In this study, the model was performed on the basis of the classical thin plate theory, the Von Kármán large deformation theory and Principle of Virtual Work. Afterwards the statics equilibrium equation was available. Subsequently the analysis was presented by adjusting the laminate thickness for these prior factors. Through the numerical simulations with Matlab® software, the curvatur
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Ströhmer, Gerhard. "Stationary states and moving planes." In Parabolic and Navier–Stokes equations. Institute of Mathematics Polish Academy of Sciences, 2008. http://dx.doi.org/10.4064/bc81-0-32.

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Qing, Cao, Wu Yimin, and Zhang Zhimin. "Analysis of Thermal Shock on Nuclear Power Station Pump." In 1998 2nd International Pipeline Conference. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/ipc1998-2129.

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In this paper, a heat conduction equation and a dynamic thermoelastic equation are briefly deduced and established based on Continuum Mechanics. First, an qualitative discussion is emphatically centered around the couple term and the dynamic term of the equation by means of the dimensional analysis and by considering the combination of the characteristics of the materials and of the thermal load effected on the nuclear power station pump under study. Second, formulations of the FEM for non-coupled heated equations and quasi-static thermoelastic equations are derived in this paper. Third, a hal
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Tu, Xuxin, and Jose Andrade. "Criteria for Static Equilibrium in Discrete Element Methods." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-43953.

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In most DEM codes, the governing equation for static problems is solved in an explicit scheme that involves a set of motion equations with numerical damping. With such an explicit scheme, parameter calibration is demanded in order to obtain a converged solution and to achieve a state of static equilibrium. This paper presents two criteria, based on the homogenized stress equation, for evaluating the static force balance and the static moment balance, respectively. Numerical examples demonstrate that these two criteria play a critical role in calibrating the explicit scheme and preventing it fr
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Ding, Chang-Fu, Song-Feng Tian, Li Sun, and Jiang-Bo Qian. "Calculation of Static Strength of Steam Turbine Impeller." In ASME 2005 Power Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pwr2005-50319.

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Stress analysis of impeller is an important link in the structure design of the steam turbine and has important meaning to maintenances, monitoring, safety and life-span manage and assess of rotor of steam turbine. According to fundamental equations of stress and deformation of stream turbine impeller, this method combines the boundary value computing method of system of second order ordinary differential equation with unbinding optimization method. A procedure is programmed and second order ordinary differential equation is calculated. The sample shows that the result gotten is nearly equal t
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Cieślak, Tomasz, Philippe Laurençot, and Cristian Morales-Rodrigo. "Global existence and convergence to steady states in a chemorepulsion system." In Parabolic and Navier–Stokes equations. Institute of Mathematics Polish Academy of Sciences, 2008. http://dx.doi.org/10.4064/bc81-0-7.

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Oskouei, Seyed Babak Ghaemi, and Mohammad Taghi Ahmadian. "Closed Form Solutions for the Motion of Electrically Excited Micro-Cantilever Beams." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-14964.

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The differential equation governing the motion of an electrically excited capacitive microcantilever beam is a nonlinear PDE [1]. Accurate analysis about its motion is of great importance in MEMS' dynamical response. In this paper first the nonlinear 4th order 2 point boundary value problem (ODE) governing the static deflection of the system is solved using three methods. 1. The nonlinear part is linearized and its exact solution is obtained. 2. For low applied DC voltages (not near pull-in) the solutin is found using the direct straight forward perturbation analysis. 3. Numerical computer sol
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Čelebonović, Vladan. "Basic notions of static high pressure experiments." In EQUATION-OF-STATE AND PHASE-TRANSITION ISSUES IN MODELS OF ORDINARY ASTROPHYSICAL MATTER. AIP, 2004. http://dx.doi.org/10.1063/1.1828414.

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Reports on the topic "Equation statics"

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Parisi, Luca. Modified Cosmological Equations and the Einstein Static Universe. GIQ, 2012. http://dx.doi.org/10.7546/giq-12-2011-290-304.

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Parisi, Luca. Modified Cosmological Equations and the Einstein Static Universe. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-22-2011-51-65.

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Vladimirsky, Alexander Boris. Fast methods for static Hamilton-Jacobi Partial Differential Equations. Office of Scientific and Technical Information (OSTI), 2001. http://dx.doi.org/10.2172/827572.

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Gwaltney, Steven R., and Rodney J. Bartlett. Extensions of the Equation-of-Motion Coupled Cluster Method for Excited States. Defense Technical Information Center, 1998. http://dx.doi.org/10.21236/ada353734.

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Hanson, Erica J., David L. Azuma, and Bruce A. Hiserote. Site index equations and mean annual increment equations for Pacific Northwest Research Station forest inventory and analysis inventories, 1985-2001. U.S. Department of Agriculture, Forest Service, Pacific Northwest Research Station, 2003. http://dx.doi.org/10.2737/pnw-rn-533.

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Giuffrida, Antonio, Roberto F. Iunes, and William D. Savedoff. Health and Poverty in Brazil: Estimation by Structural Equation Model with Latent Variables. Inter-American Development Bank, 2005. http://dx.doi.org/10.18235/0008957.

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Brazil is characterized by large inequalities in income, access to health care, and health status. This paper uses data from the 1998 Pesquisa Nacional por Amostra de Domicílios to analyze the complex relationships among health, income, health insurance and health care utilization to gain a better understanding of the various factors determining differences in the health of the population, especially between the poor and non-poor. The authors use a structural equation model in which health, wealth and access to health care are specified as latent variables.
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Budzich, Jeffrey. PR-685-184506-R05 Fluvial Geomorphology Equations and Mechanics. Pipeline Research Council International, Inc. (PRCI), 2020. http://dx.doi.org/10.55274/r0011666.

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Channel hydrology, hydraulics, and sediment composition are key variables to calculating vertical and horizontal channel movement. A variety of methods are available for estimating channel bed scour, bank erosion, and channel migration with fewer available to predict avulsion potential. These methods vary in complexity from simplified empirical and theoretical equations to complex multi-dimensional models that may be used to understand potential hydrotechnical threats to pipelines and other structures. Furthermore, there are a variety of publicly available resources of relevant information to
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Yaussy, Daniel A., Martin E. Dale, and Martin E. Dale. Merchantable sawlog and bole-length equations for the Northeastern United States. U.S. Department of Agriculture, Forest Service, North Central Research Station, 1991. http://dx.doi.org/10.2737/ne-rp-650.

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Steenhuis, Tammo S., Israela Ravina, Jean-Yves Parlange, Rony Wallach, and Larry D. Geohring. Improving Preferential Flow Modules by Experimentation. United States Department of Agriculture, 1994. http://dx.doi.org/10.32747/1994.7570552.bard.

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Preferential flow is the process whereby water and solutes move by preferred pathways. During preferential flow, local wetting fronts propagate to considerable depths in the soil profile, essentially bypassing the matrix pore space. Under such conditions classical methods, such as the convective-dispersive equation, for quantifying flow of water and solutes in uniform soils are not valid. This project set out to develop methods to predict fast and early breakthrough of solutes. To facilitate understanding of these processes, several field drainage studies were conducted in the United States an
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Eric W. Lemmon and Richard T. Jaconsen. Appendix B, Equations of States for Mixtures of R-32, R-125, R-134a, R-143a, and R-152a. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/808636.

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