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Academic literature on the topic 'Triangle'

Author: Grafiati

Published: 4 June 2021

Last updated: 29 July 2024

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Journal articles on the topic "Triangle"

Mui, Grace, and Jennifer Mailley. "A tale of two triangles: comparing the Fraud Triangle with criminology’s Crime Triangle." Accounting Research Journal 28, no. 1 (July 6, 2015): 45–58. http://dx.doi.org/10.1108/arj-10-2014-0092.

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Purpose – This paper aims to propose the application of the Crime Triangle of Routine Activity Theory to fraud events as a complement to the universally accepted Fraud Triangle. Design/methodology/approach – The application of the Crime Triangle is illustrated using scenarios of asset misappropriations by type of perpetrator: external perpetrator, employee, management and the board and its governing bodies. Findings – The Crime Triangle complements the Fraud Triangle’s perpetrator-centric focus by examining the environment where fraud occurs and the relevant parties that play their role in preventing fraud or not playing their role, and thus, allowing the occurrence of fraud. Applying both triangles to a fraud event provides a comprehensive view of the fraud event. Research limitations/implications – The scenarios are limited to asset misappropriations with one perpetrator. Future research can apply both triangles to different types of fraud and cases where perpetrators collude to commit fraud. Practical implications – This paper maps the Crime Triangle to the Fraud Triangle to provide forensic accounting practitioners and researchers with a comprehensive perspective of a fraud event. This comprehensive perspective of fraud is the starting point to designing fraud risk management strategies that address both the perpetrator and the environment where the fraud event occurs. Originality/value – This paper is the first to propose the application of the established Crime Triangle environmental criminology theory as a complement to the Fraud Triangle to obtain a comprehensive perspective of a fraud event.

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Odehnal, Boris. "Two Convergent Triangle Tunnels." KoG, no. 22 (2018): 3–11. http://dx.doi.org/10.31896/k.22.1.

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A semi-orthogonal path is a polygon inscribed into a given polygon such that the $i$-th side of the path is orthogonal to the $i$-th side of the given polygon. Especially in the case of triangles, the closed semi-orthogonal paths are triangles which turn out to be similar to the given triangle. The iteration of the construction of semi-orthogonal paths in triangles yields infinite sequences of nested and similar triangles. We show that these two different sequences converge towards the bicentric pair of the triangle's Brocard points. Furthermore, the relation to discrete logarithmic spirals allows us to give a very simple, elementary, and new constructions of the sequences' limits, the Brocard points. We also add some remarks on semi-orthogonal paths in non-Euclidean geometries and in $n$-gons.

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Hikmatovich, Ibragimov Husniddin. "Connection Between A Right Triangle And An Equal Side Triangle." American Journal of Interdisciplinary Innovations and Research 02, no. 11 (November 30, 2020): 105–14. http://dx.doi.org/10.37547/tajiir/volume02issue11-20.

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There is some evidence that a right triangle and an equilateral triangle are related. Information about Pythagorean numbers is given. The geometric meaning of the relationship between right triangles and equilateral triangles is shown. The geometric meaning of the relationship between an equilateral triangle and an equilateral triangle is shown.

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Jurkin, Ema. "Poncelet Porisms and Loci of Centers in the Isotropic Plane." Mathematics 12, no. 4 (February 19, 2024): 618. http://dx.doi.org/10.3390/math12040618.

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Any triangle in an isotropic plane has a circumcircle u and incircle i. It turns out that there are infinitely many triangles with the same circumcircle u and incircle i. This one-parameter family of triangles is called a poristic system of triangles. We study the trace of the centroid, the Feuerbach point, the symmedian point, the Gergonne point, the Steiner point and the Brocard points for such a system of triangles. We also study the traces of some further points associated with the triangles of the poristic family, and we prove that the vertices of the contact triangle, tangential triangle and anticomplementary triangle move on circles while the initial triangle traverses the poristic family.

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Wysiadecki, Grzegorz, Maciej Radek, R. Shane Tubbs, Joe Iwanaga, Jerzy Walocha, Piotr Brzeziński, and Michał Polguj. "Microsurgical Anatomy of the Inferomedial Paraclival Triangle: Contents, Topographical Relationships and Anatomical Variations." Brain Sciences 11, no. 5 (May 4, 2021): 596. http://dx.doi.org/10.3390/brainsci11050596.

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The inferomedial triangle is one of the two surgical triangles in the paraclival subregion of the skull base. It is delineated by the posterior clinoid process, the dural entrance of the trochlear nerve and the dural entrance of the abducens nerve. The aim of the present article is to describe the anatomical variations within the inferomedial triangle. Measurements of the triangle’s borders and area were supplemented by detailed observations of the topographical anatomy and various arrangements of its contents. Nine adult cadaveric heads (18 sides) and 28 sagittal head sections were studied. The mean area of the inferomedial triangle was estimated to be 60.7 mm2. The mean lengths of its medial, lateral and superior borders were 16.1 mm, 11.9 mm and 10.4 mm, respectively. The dorsal meningeal artery was identified within the inferomedial triangle in 37 out of 46 sides (80.4%). A well-developed petrosphenoidal ligament of Grüber was identified within the triangle on 36 sides (78.3%). Although some structures were variable, the constant contents of the inferomedial triangle were the posterior petroclinoid dural fold, the upper end of the petroclival suture, the gulfar segment of the abducens nerve and the posterior genu of the intracavernous internal carotid artery.

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Čerin, Zvonko. "On Napoleon triangles and propeller theorems." Mathematical Gazette 87, no. 508 (March 2003): 42–50. http://dx.doi.org/10.1017/s0025557200172092.

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In this paper we shall consider two situations in triangle geometry when equilateral triangles appear and then show that they are closely related.In the first (known as the Napoleon theorem) equilateral triangles BCAT, CABT, and ABCT, are built on the sides of an arbitrary triangle ABC and their centroids are (almost always) vertices of an equilateral triangle ANBNCN (known as a Napoleon triangle of ABC; see Figure 1).

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Kodrnja, Iva, and Helena Koncul. "The Loci of Vertices of Nedian Triangles." KoG, no. 21 (2017): 19–25. http://dx.doi.org/10.31896/k.21.5.

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In this article we observe nedians and nedian triangles of ratio $\eta$ for a given triangle. The locus of vertices of the nedian triangles for $\eta\in\mathbb{R}$ is found and its correlation with isotomic conjugates of the given triangle is shown. Furthermore, the curve on which lie vertices of a nedian triangle for fixed $\eta$, when we iterate nedian triangles, is found.

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ISMAIL, SHAHRINA. "PERFECT TRIANGLES ON THE CURVE." Journal of the Australian Mathematical Society 109, no. 1 (October 9, 2019): 68–80. http://dx.doi.org/10.1017/s144678871900003x.

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A Heron triangle is a triangle that has three rational sides $(a,b,c)$ and a rational area, whereas a perfect triangle is a Heron triangle that has three rational medians $(k,l,m)$. Finding a perfect triangle was stated as an open problem by Richard Guy [Unsolved Problems in Number Theory (Springer, New York, 1981)]. Heron triangles with two rational medians are parametrized by the eight curves $C_{1},\ldots ,C_{8}$ mentioned in Buchholz and Rathbun [‘An infinite set of heron triangles with two rational medians’, Amer. Math. Monthly 104(2) (1997), 106–115; ‘Heron triangles and elliptic curves’, Bull. Aust. Math.Soc. 58 (1998), 411–421] and Bácskái et al. [Symmetries of triangles with two rational medians, http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.65.6533, 2003]. In this paper, we reveal results on the curve $C_{4}$ which has the property of satisfying conditions such that six of seven parameters given by three sides, two medians and area are rational. Our aim is to perform an extensive search to prove the nonexistence of a perfect triangle arising from this curve.

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Hidayatin, Nur, and Frida Murtinasari. "Generalisasi Ketaksamaan Sinus pada Segitiga." Jurnal Axioma : Jurnal Matematika dan Pembelajaran 7, no. 1 (June 6, 2022): 72–78. http://dx.doi.org/10.56013/axi.v7i1.1195.

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This study aims to find a generalization of the sine inequality of any triangles. This generalization is the general form of the sine inequality in a triangle when the angles given are not angles of the triangle, i.e. when the sum of the three angles is not equal to . The sine inequality that will be studied focuses on the inequalities of the sum and multiplication of sine in triangles. In the process, qualitative research methods are carried out in the form of literature review, namely studying the sum and the multiplication inequalities of sine in triangles which will then be developed and obtained new generalizations from the previous inequalities, namely generalizations of sine inequalities in triangles. These generalizations include generalizing the inequalities of the sum of sine in triangles and generalizing the inequalities of multiplication sine in triangles. To study this, it is necessary to first study the concepts of trigonometry, namely the definition of sine and cosine, the rules of sine and cosine; the relationship of the sine cosine to the sides of the triangle; the relationship of the radius of the circumcircle of the triangle to the sides and angles of the triangle; and arithmetic and geometric mean inequalities.The results of this study obtained the generalization of the sine inequality of any triangles. Keywords: inequality, sine, triangle

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Parry, C. F., and Clark Kimberling. "Triangle Centers and Central Triangles." Mathematical Gazette 85, no. 502 (March 2001): 172. http://dx.doi.org/10.2307/3620531.

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Dissertations / Theses on the topic "Triangle"

Peters, Joyana. "Triangle." ScholarWorks@UNO, 2014. http://scholarworks.uno.edu/td/1830.

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Abstract In the Lower East Side of New York City from 1909 through 1911 a fight for change was taking place. Jewish immigrant girls put their safety on the line and brought attention to the abuse taking place in factories across the country. They first spoke out and led the Ladies' Garment Worker strike bringing attention to their cause. But it was ultimately their untimely deaths in one of the most tragic workplace disasters ever in history that finally spurred the country to action in passing new fire safety and child labor laws. Historical Fiction, Immigration Story, 1911, Triangle Shirtwaist Factory Fire, Ladies Garment Worker Strike, 1909

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Saucedo, Antonio Jr. "Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle." CSUSB ScholarWorks, 2019. https://scholarworks.lib.csusb.edu/etd/855.

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Many properties have been found hidden in Pascal's triangle. In this paper, we will present several known properties in Pascal's triangle as well as the properties that lift to different extensions of the triangle, namely Pascal's pyramid and the trinomial triangle. We will tailor our interest towards Fermat numbers and the hockey stick property. We will also show the importance of the hockey stick properties by using them to prove a property in the trinomial triangle.

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James, Lacey Taylor. "Analogues Between Leibniz's Harmonic Triangle and Pascal's Arithmetic Triangle." CSUSB ScholarWorks, 2019. https://scholarworks.lib.csusb.edu/etd/835.

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This paper will discuss the analogues between Leibniz's Harmonic Triangle and Pascal's Arithmetic Triangle by utilizing mathematical proving techniques like partial sums, committees, telescoping, mathematical induction and applying George Polya's perspective. The topics presented in this paper will show that Pascal's triangle and Leibniz's triangle both have hockey stick type patterns, patterns of sums within shapes, and have the natural numbers, triangular numbers, tetrahedral numbers, and pentatope numbers hidden within. In addition, this paper will show how Pascal's Arithmetic Triangle can be used to construct Leibniz's Harmonic Triangle and show how both triangles relate to combinatorics and arithmetic through the coefficients of the binomial expansion. Furthermore, combinatorics plays an increasingly important role in mathematics, starting when students enter high school and continuing on into their college years. Students become familiar with the traditional arguments based on classical arithmetic and algebra, however, methods of combinatorics can vary greatly. In combinatorics, perhaps the most important concept revolves around the coefficients of the binomial expansion, studying and proving their properties, and conveying a greater insight into mathematics.

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Davila, Rosa. "Tribonacci Convolution Triangle." CSUSB ScholarWorks, 2019. https://scholarworks.lib.csusb.edu/etd/883.

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A lot has been said about the Fibonacci Convolution Triangle, but not much has been said about the Tribonacci Convolution Triangle. There are a few ways to generate the Fibonacci Convolution Triangle. Proven through generating functions, Koshy has discovered the Fibonacci Convolution Triangle in Pascal's Triangle, Pell numbers, and even Tribonacci numbers. The goal of this project is to find inspiration in the Fibonacci Convolution Triangle to prove patterns that we observe in the Tribonacci Convolution Triangle. We start this by bringing in all the information that will be useful in constructing and solving these convolution triangles and find a way to prove them in an easy way.

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Thompson, James Matthew. "Complex hyperbolic triangle groups." Thesis, Durham University, 2010. http://etheses.dur.ac.uk/478/.

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We prove several discreteness and non-discreteness results about complex hyperbolic triangle groups and discover two new lattices. These results use geometric (explicit construction of a fundamental domain), group theoretic and arithmetic methods.

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Rabemanambola, Maholy Félicien. "Le "triangle laitier" malgache." Clermont-Ferrand 2, 2007. http://www.theses.fr/2007CLF20007.

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L'essentiel de la production laitière de Madagascar est issu d'un "triangle" situé au coeur de l'île. Depuis des décennies, les régimes successifs ont toujours intégré le développement laitier dans leur programmes de développement respectifs, même si l'approche a souvent varié d'un régime à l'autre, les uns cherchant à privilégier la paysannerie, les autres misant sur le développement de grandes structures " modernes" et étrangères aux campagnes. Aujourd'hui, l'adoption de l'innovation par les paysans bute toujours sur certains obstacles majeurs. Les exploitations agricoles essentiellement concentrées sur les hautes terres du centre s'émiettent continuellement sous la pression démographique. La place des cultures vivrières, en particulier le riz, indispensables pour nourrir la famille, reste dominante. Dès lors coexistent deux filières : l'une, organisée autour des grandes laiteries installées vers la fin des années 1990 et alimentant entre autres les nouvelles formes de distribution ; l'autre, informelle, développée par les artisans et certains collecteurs qui participent à l'approvisionnement des agglomérations. La notion de " triangle laitier" est elle même fort contestable. La production laitière provient essentiellement du Vakinankaratra oriental favorisé par la proximité des grandes agglomérations du pays et de voies de communication modernes. Même dans cette région, les inégalités spatiales d'une commune à l'autre sont fortes

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Monaghan, Andrew. "Complex hyperbolic triangle groups." Thesis, University of Liverpool, 2013. http://livrepository.liverpool.ac.uk/14033/.

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In this thesis we study the discreteness criteria for complex hyperbolic triangle groups, generated by reflections in the complex hyperbolic 2-space. A complex hyperbolic triangle group is a group of isometries of the complex hyperbolic plane generated by three complex reflections. We study discreteness of some of these groups using arithmetic and geometric methods. We show that certain complex hyperbolic triangle groups of signature (p,p,2p) and (p,q,pq/(q-p)) are not discrete. The arithmetic methods we use are those studied by Conway and Jones and Parker. We also extend these results further. We finally give an area of discreteness for complex hyperbolic triangle groups of signature [m,n,0] using the compression property.

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Správka, Petr. "stragická průmyslová zóna triangle." Master's thesis, Vysoká škola ekonomická v Praze, 2006. http://www.nusl.cz/ntk/nusl-494.

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Baker, Charla Bezdek András. "Triangle centers and Kiepert's hyperbola." Auburn, Ala., 2006. http://repo.lib.auburn.edu/2006%20Fall/Theses/BAKER_CHARLA_6.pdf.

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Williams, Alun G. T. "Studies on generalised triangle groups." Thesis, Heriot-Watt University, 2000. http://hdl.handle.net/10399/580.

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Books on the topic "Triangle"

Kimberling, Clark. Triangle centers and central triangles: By Clark Kimberling. Winnipeg, Manitoba: Utilitas Mathematica Publishing, 1998.

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Weber, Katharine. Triangle. New York: Farrar, Straus and Giroux, 2006.

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Weber, Katharine. Triangle. New York: Farrar, Straus and Giroux, 2006.

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Weber, Katharine. Triangle. New York: Farrar, Straus and Giroux, 2006.

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Ripslinger, Jon. Triangle. San Diego: Harcourt Brace, 1994.

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Weber, Katharine. Triangle. New York, NY: Farrar, Straus and Giroux, 2006.

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Bingham, Jane. Bermuda Triangle. Chicago, Ill: Capstone Raintree, 2013.

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Ylonka Nacidit-Perdomo. Triangulo en Trebol/Triangle in Trefoil. CCLEH, 2001.

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Gopalakrishnan, Devika, and Gopeka Krishnan. Triangle. Independently Published, 2019.

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Matsuura, Hisaki, and David Karashima. Triangle. Dalkey Archive Press, 2014.

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Book chapters on the topic "Triangle"

Johnson, D. L. "Triangle Groups." In Springer Undergraduate Mathematics Series, 139–53. London: Springer London, 2001. http://dx.doi.org/10.1007/978-1-4471-0243-4_11.

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Gottschalk, Petter. "Convenience Triangle." In The Convenience of White-Collar Crime in Business, 75–92. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-37990-2_5.

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Mitrinović, D. S., J. E. Pečarić, and A. M. Fink. "Triangle Inequalities." In Classical and New Inequalities in Analysis, 473–513. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-017-1043-5_17.

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Kao, Ming-Yang. "Triangle Finding." In Encyclopedia of Algorithms, 970. Boston, MA: Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-30162-4_432.

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Bottema, O., and Reinie Erne. "Morley’s Triangle." In Topics in Elementary Geometry, 1–3. New York, NY: Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-78131-0_10.

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Deza, Michel Marie, and Monique Laurent. "Triangle Inequalities." In Algorithms and Combinatorics, 421–44. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-04295-9_27.

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Wilkinson, Tolbert S. "Submental Triangle." In Practical Procedures in Aesthetic Plastic Surgery, 69–80. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-2594-2_5.

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Barnes, John. "Pascal’s Triangle." In Nice Numbers, 231–37. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46831-0_12.

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Fulton, Kristy. "Pascal's Triangle." In More Math Puzzles and Patterns For Kids, 19–20. New York: Routledge, 2021. http://dx.doi.org/10.4324/9781003236733-6.

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Leimbach, Judy, Kathy Leimbach, and Mary Lou Johnson. "Triangle Experiment." In Math Extension Units, 24. New York: Routledge, 2021. http://dx.doi.org/10.4324/9781003236481-20.

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Conference papers on the topic "Triangle"

L. Sabharwal, Chaman, and Jennifer L. Leopold. "A Trianlge-Triangle Intersection Algorithm." In Seventh International Conference on Wireless & Mobile Network. Academy & Industry Research Collaboration Center (AIRCC), 2015. http://dx.doi.org/10.5121/csit.2015.51003.

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Williams, Virginia Vassilevska, and Yinzhan Xu. "Monochromatic Triangles, Triangle Listing and APSP." In 2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS). IEEE, 2020. http://dx.doi.org/10.1109/focs46700.2020.00078.

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Botler, Fábio, Cristina G. Fernandes, and Juan Gutiérrez. "On Tuza's conjecture for graphs with treewidth at most 6." In III Encontro de Teoria da Computação. Sociedade Brasileira de Computação - SBC, 2018. http://dx.doi.org/10.5753/etc.2018.3141.

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Tuza (1981) conjectured that the size τ (G) of a minimum set of edges that meets every triangle of a graph G is at most twice the size ν(G) of a maximum set of edge-disjoint triangles of G. In this paper we verify this conjecture for graphs with treewidth at most 6. In this paper, all graphs considered are simple and the notation and terminology are standard. A triangle transversal of a graph G is a set of edges of G whose deletion results in a triangle-free graph; and a triangle packing of G is a set of edge-disjoint triangles of G. We denote by τ (G) (resp. ν(G)) the size of a minimum triangle transversal (resp. triangle packing) of G. In [Tuza 1981] the following conjecture was posed: Conjecture (Tuza, 1981). For every graph G, we have τ (G) ≤ 2ν(G).

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Spremić, Siniša. "NOVE GRANICE UNAPREĐENOG TROUGLA ZA ANALIZU GASOVA RASTVORENIH U ULJU SA PRIMERIMA KVAROVA." In 36. Savetovanja CIGRE Srbija 2023 Fleksibilnost elektroenergetskog sistema. Srpski nacionalni komitet Međunarodnog saveta za velike električne mreže CIGRE Srbija, 2023. http://dx.doi.org/10.46793/cigre36.0135s.

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For many years, various methods have been used for the dissolved gas in oil analysis: Dernenburg, Rogers relations, MSS (Mueller, Schliesinger and Soldner), Duval triangles, Duval pentagons, Universal triangle, Key gas, Logarithmic nomograph, IEC relations, Gas pattern analysis method, Japan ETRA diagnostic diagram, Heptagon... Basically most methods deal with single or pure faults. The Duval Triangle has had significant changes in the boundaries between all areas with the appearance of areas of multiple faults of electrical discharge and overheating (DT) in the existing Duval Triangle 1. A newer method is the Improved Triangle which improves upon the modern Duval Triangle 1. The borders between fault areas of original Improved Triangle were partially modified by further consideration of previous and more recent failure cases. The main change is the use of lines that do not go from page to page, but rather go from the vertex of the triangle to the opposite page. This means that the ratios of two gases (possibly three gases in the case of the Improved Triangle because there are two gases on one side of the triangle) give the border between two types of faults. Another significant change is the reduction in the size of the thermal faults areas. The original Improved Triangle and the new Improved Triangle are shown and discussed. Both are intended for mineral insulating oils. Several recent examples of transformer faults are presented, showing the interpretation of the Improved Triangle and Duval Triangle 1.

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Tomaz, G., M. I. Falcão, and H. R. Malonek. "Pascal's triangle and other number triangles in Clifford analysis." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756125.

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Strothoff, Sven, Dimitar Valkov, and Klaus Hinrichs. "Triangle cursor." In the ACM International Conference. New York, New York, USA: ACM Press, 2011. http://dx.doi.org/10.1145/2076354.2076377.

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Roemmele, Melissa, Haley Archer-McClellan, and Andrew S. Gordon. "Triangle charades." In IUI'14: IUI'14 19th International Conference on Intelligent User Interfaces. New York, NY, USA: ACM, 2014. http://dx.doi.org/10.1145/2557500.2557510.

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Lou, Fangyuan, and Nicole L. Key. "On Choosing the Optimal Impeller Exit Velocity Triangles in Preliminary Design." In ASME Turbo Expo 2021: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/gt2021-59210.

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Abstract Impeller discharge flow plays an important role in centrifugal compressor performance and operability for two reasons. First, it determines the work factor and relative diffusion for the impeller. Second, it sets the flow into the downstream stationary diffusion system. The choice made in the preliminary design phase for the impeller exit velocity triangle is crucial for a successful design. The state-of-the-art design approach for determining the impeller exit velocity triangle in the preliminary design phase relies on several empirical guidelines, i.e. maximum work factor and diffusion ratio for an impeller, the optimal range of absolute flow angle, etc. However, as modern compressors continue pushing toward higher efficiency and higher work factor, this design approach falls short in providing exact guidance for choosing an optimal impeller exit velocity triangles due to its empirical nature as well as the competing mechanism of the two trends. In light of this challenge, this paper introduces a reduced-dimension, deterministic approach for the design of the impeller exit velocity triangle. The method gauges the design of the impeller exit velocity triangle from a different design philosophy using a relative diffusion effectiveness parameter and is validated using 6 impeller designs, representative of applications in both turbochargers and aero engines. Furthermore, with the deterministic method in place, optimal impeller exit velocity triangles are explored over a broad design space, and a one-to-one mapping from a selection of impeller total-to-total pressure ratios and backsweep angles to a unique optimal impeller exit velocity triangle is provided. This new approach is demonstrated, and discussions regarding the influences of impeller total-to-total pressure ratio, isentropic efficiency, and backsweep angle on the optimal impeller exit velocity triangle are presented.

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Berman, Andrew P., and Linda G. Shapiro. "Triangle-inequality-based pruning algorithms with triangle tries." In Electronic Imaging '99, edited by Minerva M. Yeung, Boon-Lock Yeo, and Charles A. Bouman. SPIE, 1998. http://dx.doi.org/10.1117/12.333855.

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Huang, Chintien, and Chien-Ming Chen. "The Linear Representation of the Screw Triangle: A Unification of Finite and Infinitesimal Kinematics." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0224.

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Abstract This paper presents the linear representation of the screw triangle. The resultant twist of two finite twists is shown to be a linear combination of five screws. The linear representations of all degenerate screw triangles are also derived. The limiting cases of these results of finite displacements confirm the theory of screws in infinitesimal kinematics. The finite kinematic analysis of multi-link serial chains is performed by using the linear representation of the screw triangle to demonstrate a unification of finite and infinitesimal kinematics.

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Reports on the topic "Triangle"

Ungar, Abraham A. The Hyperbolic Triangle Defect. GIQ, 2012. http://dx.doi.org/10.7546/giq-5-2004-225-236.

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Sinn, Hans-Werner. The Vanishing Harberger Triangle. Cambridge, MA: National Bureau of Economic Research, January 1990. http://dx.doi.org/10.3386/w3225.

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Shapira, Yair. Multigrid for refined triangle meshes. Office of Scientific and Technical Information (OSTI), February 1997. http://dx.doi.org/10.2172/431152.

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Hanmer, S. Geology, East Athabasca Mylonite Triangle, Saskatchewan. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 1994. http://dx.doi.org/10.4095/194845.

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Farzan, Yasaman. Leptonic Unitarity Triangle and CP-Violation. Office of Scientific and Technical Information (OSTI), February 2002. http://dx.doi.org/10.2172/798993.

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Eigen, G. Probing the CKM Triangle at BABAR. Office of Scientific and Technical Information (OSTI), February 2004. http://dx.doi.org/10.2172/826748.

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Heron, Scott. Sea Surface Temperature in the Coral Triangle. The Nature Conservancy, May 2010. http://dx.doi.org/10.3411/col.07070329.

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Stacy, Jerry. The Last B-2s: A Wobbly Iron Triangle. Fort Belvoir, VA: Defense Technical Information Center, January 1996. http://dx.doi.org/10.21236/ada441380.

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Bleakley, Hoyt. Longevity, Education, and Income: How Large is the Triangle? Cambridge, MA: National Bureau of Economic Research, January 2018. http://dx.doi.org/10.3386/w24247.

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Kashgarian, M., and T. P. Guilderson. Reconstructing Ocean Circulation using Coral (triangle)14C Time Series. Office of Scientific and Technical Information (OSTI), February 2001. http://dx.doi.org/10.2172/15013585.

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