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Relevant bibliographies by topics / Symmetry of solution

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Academic literature on the topic 'Symmetry of solution'

Author: Grafiati

Published: 9 March 2023

Last updated: 31 July 2025

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Journal articles on the topic "Symmetry of solution"

1

Heule, Marijn, and Toby Walsh. "Symmetry in Solutions." Proceedings of the AAAI Conference on Artificial Intelligence 24, no. 1 (2010): 77–82. http://dx.doi.org/10.1609/aaai.v24i1.7549.

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We define the concept of an internal symmetry. This is a symmety within a solution of a constraint satisfaction problem. We compare this to solution symmetry, which is a mapping between different solutions of the same problem. We argue that we may be able to exploit both types of symmetry when finding solutions. We illustrate the potential of exploiting internal symmetries on two benchmark domains: Van der Waerden numbers and graceful graphs. By identifying internal symmetries we are able to extend the state of the art in both cases.

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Okino, Shinya, and Masato Nagata. "Asymmetric travelling waves in a square duct." Journal of Fluid Mechanics 693 (January 6, 2012): 57–68. http://dx.doi.org/10.1017/jfm.2011.455.

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AbstractTwo types of asymmetric solutions are found numerically in square-duct flow. They emerge through a symmetry-breaking bifurcation from the mirror-symmetric solutions discovered by Okino et al. (J. Fluid Mech., vol. 657, 2010, pp. 413–429). One of them is characterized by a pair of streamwise vortices and a low-speed streak localized near one of the sidewalls and retains the shift-and-reflect symmetry. The bifurcation nature as well as the flow structure of the solution show striking resemblance to those of the asymmetric solution in pipe flow found by Pringle & Kerswell (Phys. Rev.

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AMDJADI, FARIDON. "THE CALCULATION OF THE HOPF/HOPF MODE INTERACTION POINT IN PROBLEMS WITH Z2-SYMMETRY." International Journal of Bifurcation and Chaos 12, no. 08 (2002): 1925–35. http://dx.doi.org/10.1142/s0218127402005595.

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A direct method for finding the mode interaction point of a symmetry breaking Hopf bifurcation and a symmetry preserving Hopf bifurcation in problems with ℤ2-symmetry is developed. It has been shown that the mode interaction point corresponds to an isolated solution of an extended system. The existence of this solution relies on the occurrence of the mode interaction point and this is interpreted in the context of the mode interaction, using centre manifold reduction. A numerical example with the symmetry group O(2), which has a branch of ℤ2-symmetric nontrivial steady state solutions, is cons

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Perrin, Charles L. "Symmetry of hydrogen bonds in solution." Pure and Applied Chemistry 81, no. 4 (2009): 571–83. http://dx.doi.org/10.1351/pac-con-08-08-14.

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A classic question regarding hydrogen bonds (H-bonds) concerns their symmetry. Is the hydrogen centered or is it closer to one donor and jumping between them? These possibilities correspond to single- and double-well potentials, respectively. The NMR method of isotopic perturbation can answer this question. It is illustrated with 3-hydroxy-2-phenylpropenal and then applied to dicarboxylate monoanions. The 18O-induced 13C NMR splittings signify that their intramolecular H-bonds are asymmetric and that each species is a pair of tautomers, not a single symmetric structure, even though maleate and

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Perera, Disanayakage Hashan Sanjaya, and Dilruk Gallage. "Solution Methods for Nonlinear Ordinary Differential Equations Using Lie Symmetry Groups." Advanced Journal of Graduate Research 13, no. 1 (2023): 37–61. http://dx.doi.org/10.21467/ajgr.13.1.37-61.

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For formulating mathematical models, engineering problems and physical problems, Nonlinear ordinary differential equations(NODEs) are used widely. Nevertheless, explicit solutions can be obtained for very few NODEs, due to lack of techniques to obtain explicit solutions. Therefore methods to obtain approximate solution for NODEs are used widely. Although symmetry groups of ordinary differential equations (ODEs) can be used to obtain exact solutions however, these techniques are not widely used. The purpose of this paper is to present applications of Lie symmetry groups to obtain exact solution

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DZHUNUSHALIEV, V., H. J. SCHMIDT, and O. RURENKO. "SPHERICALLY SYMMETRIC SOLUTIONS IN MULTIDIMENSIONAL GRAVITY WITH THE SU(2) GAUGE GROUP AS THE EXTRA DIMENSIONS." International Journal of Modern Physics D 11, no. 05 (2002): 685–701. http://dx.doi.org/10.1142/s0218271802001925.

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The multidimensional gravity on the principal bundle with the SU(2) gauge group is considered. The numerical investigation of the spherically symmetric metrics with the center of symmetry is made. The solution of the gravitational equations depends on the boundary conditions of the "SU(2) gauge potential" (off-diagonal metric components) at the symmetry center and on the type of symmetry (symmetrical or antisymmetrical) of these potentials. In the chosen range of the boundary conditions it is shown that there are two types of solutions: wormhole-like and flux tube. The physical application of

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Kovalenko, M. D., I. V. Menshova, A. P. Kerzhaev, and T. D. Shulyakovskaya. "Exact and beam solutions for a narrow clamped rectangle." Journal of Physics: Conference Series 2231, no. 1 (2022): 012027. http://dx.doi.org/10.1088/1742-6596/2231/1/012027.

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Abstract The paper presents formulas describing an exact solution to the boundary value problem of the theory of elasticity in a rectangle in which the horizontal sides are rigidly clamped, and normal and tangential stresses are given on the vertical ones. Only an odd-symmetric deformation of the rectangle with respect to the horizontal axis of symmetry and an even-symmetric deformation of the rectangle with respect to the vertical axis of symmetry are considered. The paper is based on the previously obtained solutions for a free half-strip and a free rectangle.

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Kovalenko, M. D., I. V. Menshova, A. P. Kerzhaev, and T. D. Shulyakovskaya. "Exact and beam solutions for a narrow clamped rectangle." Journal of Physics: Conference Series 2231, no. 1 (2022): 012027. http://dx.doi.org/10.1088/1742-6596/2231/1/012027.

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Abstract The paper presents formulas describing an exact solution to the boundary value problem of the theory of elasticity in a rectangle in which the horizontal sides are rigidly clamped, and normal and tangential stresses are given on the vertical ones. Only an odd-symmetric deformation of the rectangle with respect to the horizontal axis of symmetry and an even-symmetric deformation of the rectangle with respect to the vertical axis of symmetry are considered. The paper is based on the previously obtained solutions for a free half-strip and a free rectangle.

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BRIHAYE, Y., and L. HONOREZ. "TWISTED SEMILOCAL STRINGS WITH TWO HIGGS-DOUBLETS." International Journal of Modern Physics A 23, no. 03n04 (2008): 581–97. http://dx.doi.org/10.1142/s0217751x08038469.

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The standard electroweak model is extended by means of a second Brout–Englert–Higgs–doublet. The symmetry breaking potential is chosen in such a way that (i) the Lagrangian possesses a custodial symmetry, (ii) a stationary, axially symmetric ansatz of the bosonic fields consistently reduces the Euler–Lagrange equations to a set of differential equations. The potential involves, in particular, a direct interaction between the two doublets. Magnetic, stationary, axially-symmetric solutions of the classical equations are constructed. Some of them can be assimilated to embedded Nielsen–Olesen stri

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TEH, ROSY, and K. M. WONG. "MULTIMONOPOLE–ANTIMONOPOLE SOLUTIONS OF THE SU(2) YANG–MILLS–HIGGS FIELD THEORY." International Journal of Modern Physics A 19, no. 03 (2004): 371–91. http://dx.doi.org/10.1142/s0217751x04017653.

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In this paper we constructed exact static multimonopole–antimonopole solutions of the YMH field theory. By labelling these solutions as A1, A2, B1, and B2, we notice that the exact axially symmetric 1-monopole — two antimonopoles solution is actually a special case of the A1 solution when the topological index parameter m=1. Also the B1 solution will reduce to a spherically symmetric Wu–Yang type monopole of unit charge when m=0. All these exact solutions satisfy the first order Bogomol'nyi equations and possess infinite energy. Hence they are a different type of the BPS solution. Except for t

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Dissertations / Theses on the topic "Symmetry of solution"

1

Otto, Simon [Verfasser], and Klaus [Akademischer Betreuer] Solbach. "Solution to the Broadside Problem and Symmetry Properties of Periodic Leaky-Wave Antennas / Simon Otto. Betreuer: Klaus Solbach." Duisburg, 2016. http://d-nb.info/1109745710/34.

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ABATANGELO, LAURA. "Multiplicity of solutions to elliptic equations the case of singular potentials in second order problems and morse theory in a fourth order problem." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2011. http://hdl.handle.net/10281/20336.

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Symmetry properties of solutions to some nonlinear Schroedinger equations are investigated. In particular, here the Laplace operator is perturbed by singular potentials which do not belong to the Kato class. A result of symmetry breaking of solutions is obtained provided a preliminary theorem about biradial solutions is stated. Further, a problem involving the biharmonic operator and exponential nonlinearity in dimension 4 is studied, connecting degree counting formulas with direct methods of calculus of variations via Morse theory and deformation lemmas.

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Wang, Qun. "Solutions Périodiques Symétriques dans le Problème de N-Vortex." Thesis, Paris Sciences et Lettres (ComUE), 2018. http://www.theses.fr/2018PSLED069/document.

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Cette thèse porte sur l’étude des solutions périodiques du problème des N-tourbillons à vorticité positive. Ce problème, formulé par Helmholtz il y a plus de 160 ans, possède une histoire très riche et reste un domaine de recherche très actif. Pour un nombre quelconque de tourbillons et sans contrainte sur les vorticités, ce système n’est pas intégrable au sens de Liouville : on ne peut trouver de solution périodique non triviale par des méthodes explicites. Dans cette thèse, à l’aide de méthodes variationnelles, nous prouvons l’existence d’une infinité de solutions périodiques non triviales p

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Sang, W. M. "A search for the Standard Model Higgs boson using the OPAL detector at LEP." Thesis, Brunel University, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.340840.

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Eschke, Andy. "Analytical solution of a linear, elliptic, inhomogeneous partial differential equation in the context of a special rotationally symmetric problem of linear elasticity." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-149970.

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In addition to previous publications, the paper presents the analytical solution of a special boundary value problem which arises in the context of elasticity theory for an extended constitutive law and a non-conservative symmetric ansatz. Besides deriving the general analytical solution, a specific form for linear boundary conditions is given for user convenience.

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Carter-Fenk, Kevin D. "Design and Implementation of Quantum Chemistry Methods for the Condensed Phase: Noncovalent Interactions at the Nanoscale and Excited States in Bulk Solution." The Ohio State University, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=osu161617640330551.

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Eschke, Andy. "Analytical solution of a linear, elliptic, inhomogeneous partial differential equation with inhomogeneous mixed Dirichlet- and Neumann-type boundary conditions for a special rotationally symmetric problem of linear elasticity." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-149965.

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The analytical solution of a given inhomogeneous boundary value problem of a linear, elliptic, inhomogeneous partial differential equation and a set of inhomogeneous mixed Dirichlet- and Neumann-type boundary conditions is derived in the present paper. In the context of elasticity theory, the problem arises for a non-conservative symmetric ansatz and an extended constitutive law shown earlier. For convenient user application, the scalar function expressed in cylindrical coordinates is primarily obtained for the general case before being expatiated on a special case of linear boundary condition

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MIRAGLIO, PIETRO. "ESTIMATES AND RIGIDITY FOR STABLE SOLUTIONS TO SOME NONLINEAR ELLIPTIC PROBLEMS." Doctoral thesis, Università degli Studi di Milano, 2020. http://hdl.handle.net/2434/704717.

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Questa tesi è incentrata sullo studio di equazioni differenziali alle derivate parziali di tipo ellittico. La prima parte della tesi riguarda la regolarità delle soluzioni stabili per un'equazione nonlineare con il p-Laplaciano, in un dominio limitato dello spazio Euclideo. La tecnica è basata sull'uso di disuguaglianze di tipo Hardy-Sobolev su ipersuperfici, del quale viene approfondito lo studio. Nella seconda parte viene preso in esame un problema nonlocale di tipo Dirichlet-Neumann. Studiamo la simmetria unidimensionale di alcune sottoclassi di soluzioni stabili, ottenendo risultati in dim

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Mehraban, Arash. "Non-Classical Symmetry Solutions to the Fitzhugh Nagumo Equation." Digital Commons @ East Tennessee State University, 2010. https://dc.etsu.edu/etd/1736.

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In Reaction-Diffusion systems, some parameters can influence the behavior of other parameters in that system. Thus reaction diffusion equations are often used to model the behavior of biological phenomena. The Fitzhugh Nagumo partial differential equation is a reaction diffusion equation that arises both in population genetics and in modeling the transmission of action potentials in the nervous system. In this paper we are interested in finding solutions to this equation. Using Lie groups in particular, we would like to find symmetries of the Fitzhugh Nagumo equation that reduce this non-linea

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Lau, Tracy. "Numerical solution of skew-symmetric linear systems." Thesis, University of British Columbia, 2009. http://hdl.handle.net/2429/17435.

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We are concerned with iterative solvers for large and sparse skew-symmetric linear systems. First we discuss algorithms for computing incomplete factorizations as a source of preconditioners. This leads to a new Crout variant of Gaussian elimination for skew-symmetric matrices. Details on how to implement the algorithms eﬃciently are provided. A few numerical results are presented for these preconditioners. We also examine a specialized preconditioned minimum residual solver. An explicit derivation is given, detailing the eﬀects of skew-symmetry on the algorithm.

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Books on the topic "Symmetry of solution"

1

Stephani, Hans. Differential equations: Their solution using symmetries. Cambridge University Press, 1989.

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Gunzburger, Max D. On substructuring algorithms and solution techniques for the numerical approximation of partial differential equations. National Aeronautics and Space Administration, 1986.

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1943-, Bluman George W., ed. Symmetry and integration methods for differential equations. Springer, 2002.

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Fiedler, Bernold. Global Bifurcation of Periodic Solutions with Symmetry. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0082943.

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Fiedler, Bernold. Global bifurcation of periodic solutions with symmetry. Springer-Verlag, 1988.

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Hydon, Peter E. Symmetry methods for differential equations: A beginner's guide. Cambridge University Press, 2000.

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Gerd, Baumann. Symmetry analysis of differential equations with Mathematica. Springer/Telos, 1998.

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Thurston, Gaylen A. A parallel solution for the symmetric eigenproblem. National Aeronautics and Space Administration, Langley Research Center, 1987.

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Bernd, Fischer. Polynomial based iteration methods for symmetric linear systems. Society for Industrial and Applied Mathematics, 2011.

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Fushchich, W. I. Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics. Springer Netherlands, 1993.

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Book chapters on the topic "Symmetry of solution"

1

Miller, James, and Connie J. Weeks. "Schwarzschild Solution for Spherical Symmetry." In General Relativity for Planetary Navigation. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-77546-9_2.

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Miller, James, and Connie Weeks. "Schwarzschild Solution for Spherical Symmetry." In Space Technology Library. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-71982-0_10.

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Ramm, Alexander G. "Solution to the Navier-Stokes Problem." In Symmetry Problems. The Navier-Stokes Problem. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-031-02415-3_5.

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Scheut jens, J. M. H. M., F. A. M. Leermakers, N. A. M. Besseling, and J. Lyklema. "Lattice Theory for the Association of Amphipolar Molecules in Planar Symmetry." In Surfactants in Solution. Springer US, 1989. http://dx.doi.org/10.1007/978-1-4615-7984-7_2.

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Baumann, Gerd. "Solution of Coupled Linear Partial Differential Equations." In Symmetry Analysis of Differential Equations with Mathematica®. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-2110-4_10.

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Zhen, Mei. "Solution Branches at Corank-2 Bifurcation Points with Symmetry." In Bifurcation and Chaos: Analysis, Algorithms, Applications. Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-7004-7_35.

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Volchkov, V. V. "General Solution of Convolution Equation in Domains with Spherical Symmetry." In Integral Geometry and Convolution Equations. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0023-9_15.

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Aston, P. J. "Introduction to the Numerical Solution of Symmetry- Breaking Bifurcation Problems." In Continuation and Bifurcations: Numerical Techniques and Applications. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-0659-4_9.

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Myers, A. B., and A. E. Johnson. "Electronic and Vibrational Dephasing in Solution by Dynamic Symmetry Breaking." In Springer Series in Chemical Physics. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-80314-7_125.

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Takabe, Hideaki. "Self-Similar Solutions of Compressible Fluids." In Springer Series in Plasma Science and Technology. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-45473-8_4.

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AbstractStrong shock waves are used to compress and heat any matters in the laboratory. The ablation pressure by intense laser is used to compress even solid matters. In plane geometry, it is easier to design multi-shocks to compress the matters, while it is more beneficial to use the spherical compression. No simple solutions are available to know the trajectories of shocks in one-dimensional spherical symmetry. Here we see several analytical solutions with the self-similar method. The method is to find new governing solution of ordinary differential equation from partial differential fluid e

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Conference papers on the topic "Symmetry of solution"

1

Lichter, Barry D., William F. Flanagan, Joung-Soo Kim, Johan Elkenbracht, and M. van Hunen. "Mechanistic Studies of Transgranular Stress-Corrosion Cracking: Application of the Corrosion-Assisted Cleavage Model to Results Employing Oriented Single Crystals." In CORROSION 1995. NACE International, 1995. https://doi.org/10.5006/c1995-95173.

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Abstract Results are described for stress-corrosion experiments carried out on oriented single crystals of copper-gold and copper-zinc (α-brass) using constant load and slow strain-rate loading modes under various chemical conditions in which passive oxides or dealloying in the absence of films are present at the surface. Evidence is presented to support the role of localized dissolution at slip traces in crack-initiation at a free surface, as well as in the re-nucleation of arrested cracks. The orientations of fracture surfaces are predominantly {110} independent of the tensile axis orientati

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Foster, J., and R. Lehnert. "Construction and Solution of Classical Finsler Systems." In Seventh Meeting on CPT and Lorentz Symmetry. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813148505_0068.

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Gatemann, K. "Symbolic solution polynomial equation systems with symmetry." In the international symposium. ACM Press, 1990. http://dx.doi.org/10.1145/96877.96907.

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Xu, Rui. "A Four-Parameter Black-Hole Solution in the Bumblebee Gravity Model." In Ninth Meeting on CPT and Lorentz Symmetry. WORLD SCIENTIFIC, 2023. http://dx.doi.org/10.1142/9789811275388_0036.

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Myers, Anne B., Alan E. Johnson, Hirofumi Sato, and Fumio Hirata. "Symmetry-breaking effects on photoinduced processes in solution." In Optoelectronics and High-Power Lasers & Applications, edited by Norbert F. Scherer and Janice M. Hicks. SPIE, 1998. http://dx.doi.org/10.1117/12.306109.

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Tarzariol, Alice. "A Model-Oriented Approach for Lifting Symmetry-Breaking Constraints in Answer Set Programming." In Thirty-First International Joint Conference on Artificial Intelligence {IJCAI-22}. International Joint Conferences on Artificial Intelligence Organization, 2022. http://dx.doi.org/10.24963/ijcai.2022/840.

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Writing correct models for combinatorial problems is relatively straightforward; however, they must be efficient to be usable with instances producing many solution candidates. In this work, we aim to automatically generalise the discarding of symmetric solutions of Answer Set Programming instances, improving the efficiency of the programs with first-order constraints derived from propositional symmetry-breaking constraints.

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Honda, Tomonori, Fabien Nicaise, and Erik K. Antonsson. "Synthesis of Structural Symmetry Driven by Cost Savings." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85111.

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An engineer presented with a design challenge often creates a symmetric solution. For instance, consider a table (front-back and left-right symmetry), a car (left and right symmetry), a bridge (front-back and left-right symmetry), or the space shuttle (left-right) symmetry. These examples may not be 100% symmetric, but their overriding features are remarkably similar. The reasons for the design of symmetric structures is not always clear. In some cases, like the table, symmetry may be a tradition. Similarly, the symmetry may be for aesthetic reasons. However in automated design algorithms, esp

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Panov, Aleksandr. "On reduction of one partially invariant solution in two-phase fluid." In MODERN TREATMENT OF SYMMETRIES, DIFFERENTIAL EQUATIONS AND APPLICATIONS (Symmetry 2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5125081.

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Dimovski, Ivan, and Yulian Tsankov. "Explicit solution of a boundary value problem with axial symmetry." In PROCEEDINGS OF THE 45TH INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE’19). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5133528.

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Yenikaya, Bayram. "Full chip hierarchical inverse lithography: a solution with perfect symmetry." In SPIE Advanced Lithography, edited by Andreas Erdmann and Jongwook Kye. SPIE, 2017. http://dx.doi.org/10.1117/12.2257608.

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Reports on the topic "Symmetry of solution"

1

Riley, M. E. Two-dimensional Green`s function Poisson solution appropriate for cylindrical-symmetry simulations. Office of Scientific and Technical Information (OSTI), 1998. http://dx.doi.org/10.2172/674827.

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McHardy, James David. Application of symmetries to differential equations: symmetry reduction and solution transformation examples. Office of Scientific and Technical Information (OSTI), 2019. http://dx.doi.org/10.2172/1529516.

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Golovin, Sergey V. Symmetry Approach and Exact Solutions in Hydrodynamics. GIQ, 2012. http://dx.doi.org/10.7546/giq-6-2005-191-202.

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Kuibin, Pavel Anatol'evich, and Valery Leonidovich Okulov. One-dimensional solutions for a flow with a helical symmetry. DOI СODE, 1996. http://dx.doi.org/10.18411/doicode-2022.072.

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Vassilev, Vassil. Geometric Symmetry Groups, Conservation Laws and Group-Invariant Solutions of the Willmore Equation. GIQ, 2012. http://dx.doi.org/10.7546/giq-5-2004-246-265.

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Vassilev, Vassil M., and Peter A. Djondjorov. Symmetry Groups, Conservation Laws and Group– Invariant Solutions of the Membrane Shape Equation. GIQ, 2012. http://dx.doi.org/10.7546/giq-7-2006-265-279.

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Grahovski, Georgi G., and Vladimir S. Gerdjikov. On the Multi-Component NLS Type Equations on Symmetric Spaces: Reductions and Soliton Solutions. GIQ, 2012. http://dx.doi.org/10.7546/giq-6-2005-203-217.

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Scandrett, Clyde. Comparison of Several Iterative Techniques in the Solution of Symmetric Banded Equations on a Two-Pipe Cyber 205. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada204164.

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Passman, S. L., and D. E. Grady. Exact solutions for symmetric deformations of hollow bodies of ideal fluids with application to inertial stability. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/6006247.

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Smith, Donald L., Denise Neudecker, and Roberto Capote Noy. Investigation of the Effects of Probability Density Function Kurtosis on Evaluated Data Results. IAEA Nuclear Data Section, 2018. http://dx.doi.org/10.61092/iaea.yxma-3y50.

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Abstract:

In two previous investigations that are documented in this IAEA report series, we examined the effects of non-Gaussian, non-symmetric probability density functions (PDFs) on the outcomes of data evaluations. Most of this earlier work involved considering just two independent input data values and their respective uncertainties. They were used to generate one evaluated data point. The input data are referred to, respectively, as the mean value and standard deviation pair (y0,s0) for a prior PDF p0(y) and a second mean value and standard deviation pair (ye,se) for a likelihood PDF pe(y). Concept

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