Relevant bibliographies by topics / Maxima and minima

Contents

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

Academic literature on the topic 'Maxima and minima'

Author: Grafiati
Published: 4 June 2021
Last updated: 29 July 2024

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Journal articles on the topic "Maxima and minima"

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Shukla, Rama. "On maxima-minima." Proceedings of the Indian Academy of Sciences - Section A 106, no. 1 (February 1996): 65–68. http://dx.doi.org/10.1007/bf02837187.

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Romanuke, Vadim. "Three-Point Iterated Interval Half-Cutting for Finding All Local Minima of Unknown Single-Variable Function." Electrical, Control and Communication Engineering 18, no. 1 (June 1, 2022): 27–36. http://dx.doi.org/10.2478/ecce-2022-0004.

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Abstract A numerical method is suggested to find all local minima and the global minimum of an unknown single-variable function bounded on a given interval regardless of the interval length. The method has six inputs: three inputs defined straightforwardly and three inputs, which are adjustable. The endpoints of the initial interval and a formula for evaluating the single-variable function at any point of this interval are the straightforward inputs. The three adjustable inputs are a tolerance with the minimal and maximal numbers of subintervals. The tolerance is the secondary adjustable input. Having broken the initial interval into a set of subintervals, the three-point iterated half-cutting “gropes” around every local minimum by successively cutting off a half of the subinterval or dividing the subinterval in two. A range of subinterval sets defined by the minimal and maximal numbers of subintervals is covered by running the threepoint half-cutting on every set of subintervals. As a set of values of currently found local minima points changes less than by the tolerance, the set of local minimum points and the respective set of function values at these points are returned. The presented approach is applicable to whichever task of finding local extrema is. If primarily the purpose is to find all local maxima or the global maximum of the function, the presented approach is applied to the function taken with the negative sign. The presented approach is a significant and important contribution to the field of numerical estimation and approximate analysis. Although the method does not assure obtaining all local minima (or maxima) for any function, setting appropriate minimal and maximal numbers of subintervals makes missing some minima (or maxima) very unlikely.
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Romanuke, Vadim. "Nine-Point Iterated Rectangle Dichotomy for Finding All Local Minima of Unknown Bounded Surface." Applied Computer Systems 27, no. 2 (December 1, 2022): 89–100. http://dx.doi.org/10.2478/acss-2022-0010.

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Abstract A method is suggested to find all local minima and the global minimum of an unknown two-variable function bounded on a given rectangle regardless of the rectangle area. The method has eight inputs: five inputs defined straightforwardly and three inputs, which are adjustable. The endpoints of the initial intervals constituting the rectangle and a formula for evaluating the two-variable function at any point of this rectangle are the straightforward inputs. The three adjustable inputs are a tolerance with the minimal and maximal numbers of subintervals along each dimension. The tolerance is the secondary adjustable input. Having broken the initial rectangle into a set of subrectangles, the nine-point iterated rectangle dichotomy “gropes” around every local minimum by successively cutting off 75 % of the subrectangle area or dividing the subrectangle in four. A range of subrectangle sets defined by the minimal and maximal numbers of subintervals along each dimension is covered by running the nine-point rectangle dichotomy on every set of subrectangles. As a set of values of currently found local minima points changes no more than by the tolerance, the set of local minimum points and the respective set of minimum values of the surface are returned. The presented approach is applicable to whichever task of finding local extrema is. If primarily the purpose is to find all local maxima or the global maximum of the two-variable function, the presented approach is applied to the function taken with the negative sign. The presented approach is a significant and important contribution to the field of numerical estimation and approximate analysis. Although the method does not assure obtaining all local minima (or maxima) for any two-variable function, setting appropriate minimal and maximal numbers of subintervals makes missing some minima (or maxima) very unlikely.
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Shenitzer, Abe, and V. M. Tikhomirov. "Stories About Maxima and Minima." American Mathematical Monthly 99, no. 2 (February 1992): 182. http://dx.doi.org/10.2307/2324204.

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Sun, Zhi-Wei. "Sums of minima and maxima." Discrete Mathematics 257, no. 1 (November 2002): 143–59. http://dx.doi.org/10.1016/s0012-365x(01)00476-9.

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Cadeddu, Lucio, and Giampaolo Lai. "Maxima and Minima Without Derivatives?" College Mathematics Journal 46, no. 1 (January 2015): 15–22. http://dx.doi.org/10.4169/college.math.j.46.1.15.

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King, Peter, and John Longeway. "William Heytesbury: On Maxima and Minima." Philosophical Review 96, no. 1 (January 1987): 146. http://dx.doi.org/10.2307/2185342.

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Braunstein, Myron L., Donald D. Hoffman, and Asad Saidpour. "Parts of Visual Objects: An Experimental Test of the Minima Rule." Perception 18, no. 6 (December 1989): 817–26. http://dx.doi.org/10.1068/p180817.

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Three experiments were conducted to test Hoffman and Richards's (1984) hypothesis that, for purposes of visual recognition, the human visual system divides three-dimensional shapes into parts at negative minima of curvature. In the first two experiments, subjects observed a simulated object (surface of revolution) rotating about a vertical axis, followed by a display of four alternative parts. They were asked to select a part that was from the object. Two of the four parts were divided at negative minima of curvature and two at positive maxima. When both a minima part and a maxima part from the object were presented on each trial (experiment 1), most of the correct responses were minima parts (101 versus 55). When only one part from the object—either a minima part or a maxima part—was shown on each trial (experiment 2), accuracy on trials with correct minima parts and correct maxima parts did not differ significantly. However, some subjects indicated that they reversed figure and ground, thereby changing maxima parts into minima parts. In experiment 3, subjects marked apparent part boundaries. 81% of these marks indicated minima parts, 10% of the marks indicated maxima parts, and 9% of the marks were at other positions. These results provide converging evidence, from two different methods, which supports Hoffman and Richards's minima rule.
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Pleacher, David. "Activities: Activities to Introduce Maxima-Minima Problems." Mathematics Teacher 84, no. 5 (May 1991): 379–86. http://dx.doi.org/10.5951/mt.84.5.0379.

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Introduction: Maxima and minima problems have interested mathematicians since the early Greeks. Heron is given credit for one of the most significant discoveries of his time that when light travels from a point to a mirror and then to another point, it takes the shortest possible path. In daily life, practical problems involving maxima and minima arise frequently. Problems about the best shape, shortest distance, or maximum volume are often contemplated.
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Shaked, Moshe, and Tityik Wong. "Stochastic comparisons of random minima and maxima." Journal of Applied Probability 34, no. 2 (June 1997): 420–25. http://dx.doi.org/10.2307/3215381.

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Let X1, X2,… be a sequence of independent random variables and let N be a positive integer-valued random variable which is independent of the Xi. In this paper we obtain some stochastic comparison results involving min {X1, X2,…, XN) and max{X1, X2,…, XN}.
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Dissertations / Theses on the topic "Maxima and minima"

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Uricks, Ryan Gerard. "Minima Maxima." Thesis, Virginia Tech, 2019. http://hdl.handle.net/10919/96212.

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Architecture can provide unique, experiential spaces at varying sizes. In situations of housing scarcity or lack of affordability, design becomes imperative in crafting spaces that, while spartan and minimal, allows for variation and individuality to arise. In the context of an urban intervention, architecture can unite the city and the people by offering space for the city and creating an active community for its occupants. This thesis uses a micro-apartment complex in Chicago overlooking a park and elevated subway tracks to show how architecture and design can provide dignified spaces of any size.
Master of Architecture
Architecture can provide unique, experiential spaces at varying sizes. In situations of housing scarcity or lack of affordability, design becomes imperative in crafting spaces that, while spartan and minimal, allows for variation and individuality to arise. In the context of an urban intervention, architecture can unite the city and the people by offering space for the city and creating an active community for its occupants. This thesis uses a micro-apartment complex in Chicago overlooking a park and elevated subway tracks to show how architecture and design can provide dignified spaces of any size.
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Helfgott, Harald, and Michel Helfgott. "Maxima and minima before calculus." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/97261.

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Nivens, Ryan A. "Investigating the LEMMA Curriculum from New Zealand: Identifying Maxima and Minima." Digital Commons @ East Tennessee State University, 2018. https://dc.etsu.edu/etsu-works/4738.

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許眞眞 and Zhenzhen Xu. "A min-max theorem on packing and covering cycles in graphs." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B31226966.

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Li, Yin-chiu, and 李燕超. "Min-max theorems on feedback vertex sets." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B42577111.

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Li, Yin-chiu. "Min-max theorems on feedback vertex sets." Click to view the E-thesis via HKUTO, 2002. http://sunzi.lib.hku.hk/hkuto/record/B42577111.

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Xu, Zhenzhen. "A min-max theorem on packing and covering cycles in graphs /." Hong Kong : University of Hong Kong, 2002. http://sunzi.lib.hku.hk/hkuto/record.jsp?B25155301.

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Lerma, Miguel Angel. "An extremal majorant for the logarithm and its applications /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.

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DeFord, Dinah Lynn. "Strengthening the Precalculus Bridge: Enhancing the Precalculus Student's Understanding of Tangents to Conics, Biquadratic Equations, and Maxima and Minima." Digital Commons @ East Tennessee State University, 2007. https://dc.etsu.edu/etd/2084.

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Many students face tremendous difficulty in high school and/or college level calculus courses. The author hopes that by introducing students to the following nontraditional three topics prior to calculus, students' understanding of calculus will be enhanced. This thesis focuses on the following topics: Tangent Lines to Conics Maxima and Minima Biquadratic Equations Because these topics are not generally covered in precalculus courses, there are several possible uses for them. An instructor could use the material as: An added classroom resource Project assignments for outside classroom study A student resource for precalculus advanced studies, or An independent study This thesis assumes that the student is well prepared for the precalculus course by having a good understanding of foundational algebra skills.
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Chung, Yau-lin, and 鍾有蓮. "Optimality and approximability of the rectangle covering problem." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2004. http://hub.hku.hk/bib/B30294873.

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Books on the topic "Maxima and minima"

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Kaplan, Wilfred. Maxima and Minima with Applications. Hoboken, NJ, USA: John Wiley & Sons, Inc., 1998. http://dx.doi.org/10.1002/9781118032794.

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Mattei, Janet A. Maxima and minima of long period variables, 1949-1975. Cambridge, Mass., U.S.A: American Association of Variable Star Observers, 1990.

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Dem'yanov, Vladimir Fedorovich. Introduction to minimax. New York: Dover, 1990.

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Dingzhu, Du, and Pardalos P. M. 1954-, eds. Minimax and applications. Dordrecht: Kluwer Academic Publishers, 1995.

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Biagio, Ricceri, and Simons S, eds. Minimax theory and applications. Dordrecht: Kluwer Academic Publishers, 1998.

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G, Hristova Snezhana, ed. Differential equations with maxima. Boca Raton: Taylor & Francis, 2011.

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T͡Sit͡siashvili, G. Sh. O vlii͡anii sluchaĭnykh vozmushcheniĭ na reshenii͡a optimizat͡sionnoĭ i minimaksnoĭ zadachi. Vladivostok: DVO AN SSSR, 1989.

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Brent, R. P. Algorithms for minimization without derivatives. Mineola, N.Y: Dover Publications, 2002.

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Demʹi͡anov, V. F. Introduction to minimax. New York: Dover Publications, 1990.

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Sukharev, A. G. Minimax models in the theory of numerical methods. Dordrecht: Kluwer Academic Publishers, 1992.

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Book chapters on the topic "Maxima and minima"

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Dineen, Seán. "Maxima and Minima." In Functions of Two Variables, 21–28. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-3250-1_4.

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Thompson, Silvanus P., and Martin Gardner. "Maxima and Minima." In Calculus Made Easy, 116–31. London: Macmillan Education UK, 1998. http://dx.doi.org/10.1007/978-1-349-15058-8_14.

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Dyke, Phil. "Maxima and Minima." In Advanced Calculus, 34–48. London: Macmillan Education UK, 1998. http://dx.doi.org/10.1007/978-1-349-14076-3_3.

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Courant, Richard, and Herbert Robbins. "Maxima und Minima." In Was ist Mathematik?, 251–301. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-88688-1_7.

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Courant, Richard, and Herbert Robbins. "Maxima und Minima." In Was ist Mathematik?, 251–301. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-662-22603-2_7.

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Mavron, Vassilis C., and Timothy N. Phillips. "Maxima and Minima." In Elements of Mathematics for Economics and Finance, 145–69. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-43910-0_7.

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Pólya, Georg. "Maxima Und Minima." In Mathematik und plausibles Schliessen, 185–214. Basel: Birkhäuser Basel, 1988. http://dx.doi.org/10.1007/978-3-0348-9166-0_8.

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MacHale, Des. "Maxima and Minima." In Lateral Solutions to Mathematical Problems, 89–94. Boca Raton: A K Peters/CRC Press, 2023. http://dx.doi.org/10.1201/9781003341468-22.

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MacHale, Des. "Maxima and Minima." In Lateral Solutions to Mathematical Problems, 25–26. Boca Raton: A K Peters/CRC Press, 2023. http://dx.doi.org/10.1201/9781003341468-10.

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Soon, Frederick H. "Gradients, Maxima, and Minima." In Student’s Guide to Calculus by J. Marsden and A. Weinstein, 757–93. New York, NY: Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4612-4970-2_5.

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Conference papers on the topic "Maxima and minima"

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Ke, Liu, Ren Xiang, and Jiang Huanjun. "Almost sure central limit theorem on maxima and minima." In 2011 International Conference on Mechatronic Science, Electric Engineering and Computer (MEC). IEEE, 2011. http://dx.doi.org/10.1109/mec.2011.6025877.

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Zapata Valencia, Samuel Ignacio, Alejandra Gómez-Ramírez, Heberley Tobon-Maya, Carlos Buitrago-Duque, and Jorge Garcia-Sucerquia. "Beyond maxima and minima: a hands-on approach for undergraduate teaching of diffraction." In Seventeenth Conference on Education and Training in Optics and Photonics: ETOP 2023, edited by David J. Hagan and Michael McKee. SPIE, 2023. http://dx.doi.org/10.1117/12.2662594.

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Susanto, Ajib, Ibnu Utomo Wahyu Mulyono, De Rosal Ignatius Moses Setiadi, Eko Hari Rachmawanto, Christy Atika Sari, and Budi Harjo. "Watershed Segmentation and Extended-maxima Transformation based on Minima Imposition for Overlapped Object." In 2021 International Seminar on Application for Technology of Information and Communication (iSemantic). IEEE, 2021. http://dx.doi.org/10.1109/isemantic52711.2021.9573197.

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Raileanu, Valentin. "Analiza temperaturilor maxime și minime anuale în Chișinău." In Starea actuală a componentelor de mediu. Institute of Ecology and Geography, Republic of Moldova, 2019. http://dx.doi.org/10.53380/9789975315593.18.

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The article briefly describes the fields of application of the theory of extreme values, including climatology. The data format and the analysis methods of the annual maxima and minima temperatures in Chisinau are presented. Free R software and the GUI in2extRemes graphical package are used. Estimating the parameters of the Generalized Extreme Value distribution and return levels vs return periods is done using the Maximum Likelihood Estimation (MLE) method.
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Yassine, Mofid, Chartier Caroline, Elkateb Melouka, Ossant Frederic, Bastard Cecile, Audiere Stephane, and Miette Veronique. "Axial displacement tracking in transient elastography using neighboring local minima maxima in radio frequency signals." In 2013 IEEE International Ultrasonics Symposium (IUS). IEEE, 2013. http://dx.doi.org/10.1109/ultsym.2013.0089.

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Moita, Ana Sofia, Emanuele Teodori, Pedro Pontes, António Luís Nobre Moreira, Anastasios Georgoulas, and Marco Marengo. "Experimental and numerical study on sensible heat transfer at droplet/wall interactions." In ILASS2017 - 28th European Conference on Liquid Atomization and Spray Systems. Valencia: Universitat Politècnica València, 2017. http://dx.doi.org/10.4995/ilass2017.2017.5024.

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The present study addresses a detailed experimental and numerical investigation on the impact of water dropletson smooth heated surfaces. High-speed infrared thermography is combined with high-speed imaging to couple the heat transfer and fluid dynamic processes occurring at droplet impact. Droplet spreading (e.g. spreading ratio) and detailed surface temperature fields are then evaluated in time and compared with the numerically predicted results. The numerical reproduction of the phenomena was conducted using an enhanced version of a VOF- based solver of OpenFOAM previously developed, which was further modified to account for conjugate heat transfer between the solid and fluid domains, focusing only on the sensible heat removed during droplet spreading. An excellent agreement is observed between the temporal evolution of the experimentally measured and the numerically predicted spreading factors (differences between the experimental and numerical values were always lower than 3.4%). The numerical and experimental dimensionless surface temperature profiles along the droplet radius were also in good agreement, depicting a maximum difference of 0.19. Deeper analysis coupling fluid dynamics and heat transfer processes was also performed, evidencing a strong correlation between maximum and minimum temperature values and heat transfer coefficients with the vorticity fields in the lamella, which lead to particular mixing processes in the boundary layer region. The correlation between the resulted temperature fields and the droplet dynamics was obtained by assuming a relation between the vorticity and the local heat transfer coefficient, in the first fluid cell i.e. near the liquid-solid interface. The two measured fields revealed that local maxima and minima in the vorticity corresponded to spatially shifted local minima and maxima in the heat transfer coefficient, at all stages of the droplet spreading. This was particularly clear in the rim region,which therefore should be considered in future droplet spreading models.DOI: http://dx.doi.org/10.4995/ILASS2017.2017.5024
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Freund, Issac. "Optical Vortices in Random Wavefields." In Advances in Optical Imaging and Photon Migration. Washington, D.C.: Optica Publishing Group, 2022. http://dx.doi.org/10.1364/aoipm.1994.wpl.20.

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Vortices (topological phase singularities), which may be either positive or negative in sign, are found in many different types of optical fields. On every zero crossing of the real or imaginary part of the wavefield, adjacent vortices must be of opposite sign. This new "sign principle", which is unaffected by boundaries, leads to the surprising results that for a given set of zero crossings: (i) fixing the sign of any given vortex automatically fixes the signs of all other vortices in the wavefield, (ii) the sign of the first vortex created during the evolution of a wavefield determines the signs of all subsequent vortices, and (iii) the sign of this first vortex places additional strong constraints on the future development of the wavefunction. The sign principle also constrains how contours of equal phase thread through the wavefield from one vortex to another. Amplitude topological (AT) singularities are defined (for the first time) in terms of the gradient of the field amplitude. Such singularities correspond to stationary points of the amplitude and are located at the intersections of the zero crossings of the x- and y-partial derivatives of the amplitude. Amplitude maxima and minima are positive AT singularities and saddle points are negative AT singularities. The sign principle implies that adjacent AT singularities on any given zero crossing must be of opposite sign, that in an unbounded wavefield the total number of maxima and minima must equal the number of saddle points, that in free space stationary points of the amplitude must first appear as positive-negative AT singularity twins, and that there must exist strong correlations between neighboring maxima, minima and saddle points. The numerous, far reaching implications of the sign principle have been verified using a computer simulation that generates a random Gaussian wavefield.
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Hitt, Darren L., and Antonio Campo. "Influence of Transverse Fins Attached to the Heated Wall of a Rayleigh-Be´nard Cavity." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-62124.

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In this article we examine the augmentation of classic Rayleigh-Be´nard convection by the addition of periodically-spaced tranverse fins attached to the heated, lower plate. The respective impacts of the fin size, the fin spacing and the thermal conductivity of the fin material are examined through numerical simulations for different laminar Rayleigh numbers and reported it terms of the Nusselt number. With the exception of very closely spaced fins, the heat transport is observed to exceed that of the idealized Rayleigh-Be´nard case. It is found that local heat transport maxima and minima do exist for specific fin spacings and that the maxima become more pronounced at higher Rayleigh numbers. For ‘small fins’ the fin spacing corresponding to maximum heat transport is such that the fin spacing is approximately equal to the enclosure height.
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Jacobs, Taylor R., David K. Matlock, Kip O. Findley, and Laurie Collins. "The Short and Long Term Effects of Elevated Temperature on the Mechanical Properties of Line Pipe Steels." In 2016 11th International Pipeline Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/ipc2016-64568.

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The mechanical properties of six industrially produced pipeline steels equivalent to API X52, X60, and X70 specifications were evaluated in the temperature range of 200–350 °C. The steels were tested in uniaxial tension at strain rates of 10−4 and 8 × 10−4 s−1 in the as-received condition and after a low temperature 100 h aging process under a 419 MPa tensile stress. Dynamic strain aging was identified in the tensile data with the observation of serrated yielding, minima in ductility and maxima in ultimate tensile strength with respect to temperature. In addition to minima in ductility, higher strength grade steels exhibited maxima in ductility at high temperatures and greater amounts of strengthening compared to the lower strength grade, both which could be attributed to the precipitation of carbides or nitrides during tensile deformation. The low temperature aging process resulted in increased yield strength due to static strain aging, slight changes to ultimate tensile stress and, no observable change in ductility. Thus, based on the results discussed it is suggested that pipeline steels can be designed based on room temperature tensile properties, using established corrections for such properties at elevated temperatures.
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Savio, D., N. Fillot, P. Vergne, and M. Zaccheddu. "From Full Film Lubrication to Local Film Breakdown: A Molecular Dynamics Approach." In ASME/STLE 2012 International Joint Tribology Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/ijtc2012-61029.

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The transition from full film lubrication to local film breakdown is studied using molecular dynamic simulations. In particular, the behavior of the confined lubricant and the friction are analyzed as a function of the number of molecules in the contact, surface wettability and nanoroughness. When the film thickness is progressively reduced, smooth wettable surfaces feature minima and maxima in friction corresponding to ordered and disordered states of the lubricant respectively. Wall slip occurs for non wettable smooth surfaces, which limits the shear stress to a low constant value. Finally, nanorough surfaces frustrate lubricant ordering and wall slip, thus resulting in high friction, which reaches its maximum when the surfaces come in contact.
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Reports on the topic "Maxima and minima"

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Rabitz, Herschel. A High Efficiency Algorithm for Combinatorial Synthesis: Maximum Utilization of Minimal Libraries. Fort Belvoir, VA: Defense Technical Information Center, January 2003. http://dx.doi.org/10.21236/ada413449.

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Anderson, Andrew, and Mark Yacucci. Inventory and Statistical Characterization of Inorganic Soil Constituents in Illinois: Appendices. Illinois Center for Transportation, June 2021. http://dx.doi.org/10.36501/0197-9191/21-007.

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This report presents detailed histograms of data from the Regulated Substances Library (RSL) developed by the Illinois Department of Transportation (IDOT). RSL data are provided for state and IDOT region, IDOT district, and county spatial subsets to examine the spatial variability and its relationship to thresholds defining natural background concentrations. The RSL is comprised of surficial soil chemistry data obtained from rights-of-way (ROW) subsurface soil sampling conducted for routine preliminary site investigations. A selection of 22 inorganic soil analytes are examined in this report: Al, Sb, As, Ba, Be, Cd, Ca, Cr, Co, Cu, Fe, Pb, Mg, Mn, Hg, Ni, K, Se, Na, Tl, V, and Zn. RSL database summary statistics, mean, median, minimum, maximum, 5th percentile, and 95th percentile, are determined for Illinois counties and for recognized environmental concern, non-recognized environmental concern, and de minimis site contamination classifications.
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Thomas, L. C. Thirty-Year Solid Waste Generation Maximum and Minimum Forecast for SRS. Office of Scientific and Technical Information (OSTI), October 1994. http://dx.doi.org/10.2172/10116560.

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Author, Unknown. GRI-02-0242 Geomechanical Analysis of Pressure Limits for Thin Bedded Salt Caverns. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), June 2002. http://dx.doi.org/10.55274/r0011266.

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Several organizations have developed guidance documents for designing and operating storage salt caverns (CSA 1993; API 1994; IOGCC 1995). Few of these efforts, however, have focused on some of the critical technical aspects related to cavern development in thin, heterogeneous, bedded salt formations. There are three basic geomechanical processes that limit maximum and minimum pressures in a bedded salt cavern. These are: The tensile fracturing pressure for the salt material and interbedded non-salt materials; The formation stresses, induced by cavern pressure decline or increase, at which bedding plane slip might be induced between heterogeneous material layers;� The minimum cavern pressure that might induce roof instability or excessive closure. The goals of this project have been to investigate and summarize for operators each of these limiting factors, and to present guidelines and analysis tools to determine minimum and maximum pressure limits for bedded salt caverns in a variety of structural settings.
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Furillo. PR-409-123700-R01 Performance Improvements of In-Service Internal Inspection Technologies for Tanks. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), October 2012. http://dx.doi.org/10.55274/r0010991.

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This document provides minimum requirements for maintaining the integrity of these tanks after they have been placed in service. A key requirement of API 653 is establishing the operating period for aboveground storage tanks (AST�s) based on the minimum floor thickness when the tank is placed into service and the maximum corrosion rate for the product- or soil-side of the tank floor during service.
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SAROFIM, A. F., R. LISAUSKAS, D. RILEY, E. G. EDDINGS, J. BROUWER, J. P. KLEWICKI, K. A. DAVIS, M. J. BOCKELIE, M. P. HEAP, and D. PERSHING. OPTIMIZED FUEL INJECTOR DESIGN FOR MAXIMUM IN-FURNACE NOx REDUCTION AND MINIMUM UNBURNED CARBON. Office of Scientific and Technical Information (OSTI), January 1998. http://dx.doi.org/10.2172/7176.

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7

Threadgill. PR-164-9111-R01 Critical Hardness Values for Avoiding Cracking During Welding on Pressurized Pipelines. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), June 1993. http://dx.doi.org/10.55274/r0011084.

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This is a final project report which documents the attempts to find a field useable hardness tester that could be used to predict the risk of cracking in the heat affected zone. Only one instrument was identified that performed with reasonable consistency. The maximum hardness value below which the researcher considered the risk of cracking to be minimal is provided. The Welding Supervisory Committee is not completely convinced of the validity of that hardness value. Because the report endorses one manufacturer, it is designated for member only use.
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Baader, Franz, and Rafael Peñaloza. Axiom Pinpointing in General Tableaux. Aachen University of Technology, 2007. http://dx.doi.org/10.25368/2022.159.

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Axiom pinpointing has been introduced in description logics (DLs) to help the user to understand the reasons why consequences hold and to remove unwanted consequences by computing minimal (maximal) subsets of the knowledge base that have (do not have) the consequence in question. The pinpointing algorithms described in the DL literature are obtained as extensions of the standard tableau-based reasoning algorithms for computing consequences from DL knowledge bases. Although these extensions are based on similar ideas, they are all introduced for a particular tableau-based algorithm for a particular DL. The purpose of this paper is to develop a general approach for extending a tableau-based algorithm to a pinpointing algorithm. This approach is based on a general definition of „tableaux algorithms,' which captures many of the known tableau-based algorithms employed in DLs, but also other kinds of reasoning procedures.
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Baader, Franz, and Rafael Peñaloza. Pinpointing in Terminating Forest Tableaux. Technische Universität Dresden, 2008. http://dx.doi.org/10.25368/2022.166.

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Axiom pinpointing has been introduced in description logics (DLs) to help the user to understand the reasons why consequences hold and to remove unwanted consequences by computing minimal (maximal) subsets of the knowledge base that have (do not have) the consequence in question. The pinpointing algorithms described in the DL literature are obtained as extensions of the standard tableau-based reasoning algorithms for computing consequences from DL knowledge bases. Although these extensions are based on similar ideas, they are all introduced for a particular tableau-based algorithm for a particular DL. The purpose of this paper is to develop a general approach for extending a tableau-based algorithm to a pinpointing algorithm. This approach is based on a general definition of „tableau algorithms,' which captures many of the known tableau-based algorithms employed in DLs, but also other kinds of reasoning procedures.
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10

Ghoddousi-Fard, R. From solar maximum to solar minimum: a look at 11 years of global total electron content. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 2018. http://dx.doi.org/10.4095/308445.

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