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Journal articles on the topic 'Triangle identities'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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1

Clarke, Robert. "Some Triangle Identities." Mathematical Gazette 70, no. 453 (1986): 211. http://dx.doi.org/10.2307/3615680.

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2

Sh.L.Ermatov. "TRIGONOMETRIC IDENTITIES OF THE QUADRILATERAL." ACADEMIC RESEARCH IN MODERN SCIENCE 2, no. 10 (2023): 72–73. https://doi.org/10.5281/zenodo.7793925.

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It is known that there are many trigonometric identities regarding the Triangle. These mirrors represent the trigonometric relationship between the inner corners of a triangle, the trigonometric relationship between the inner corners of the Triangle and its main elements (surface, perimeter, sides, radius of the inner and outer drawn circle, bisector, median, height).
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3

Coghetto, Roland. "Some Facts about Trigonometry and Euclidean Geometry." Formalized Mathematics 22, no. 4 (2014): 313–19. http://dx.doi.org/10.2478/forma-2014-0031.

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Summary We calculate the values of the trigonometric functions for angles: [XXX] , by [16]. After defining some trigonometric identities, we demonstrate conventional trigonometric formulas in the triangle, and the geometric property, by [14], of the triangle inscribed in a semicircle, by the proposition 3.31 in [15]. Then we define the diameter of the circumscribed circle of a triangle using the definition of the area of a triangle and prove some identities of a triangle [9]. We conclude by indicating that the diameter of a circle is twice the length of the radius
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4

Gutiérrez, J. M., M. A. Hernández, P. J. Miana, and N. Romero. "New identities in the Catalan triangle." Journal of Mathematical Analysis and Applications 341, no. 1 (2008): 52–61. http://dx.doi.org/10.1016/j.jmaa.2007.09.073.

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5

Zhang, Zhizheng, and Bijun Pang. "Several identities in the Catalan triangle." Indian Journal of Pure and Applied Mathematics 41, no. 2 (2010): 363–78. http://dx.doi.org/10.1007/s13226-010-0022-0.

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6

KULOĞLU, BAHAR, and ENGİN ÖZKAN. "NEW NARAYANA TRIANGLE." Journal of Science and Arts 22, no. 3 (2022): 563–70. http://dx.doi.org/10.46939/j.sci.arts-22.3-a04.

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In this paper, inspiring Hosoya’s triangle, we define a new Narayana triangle. Then, we represent this Narayana triangle geometrically on the plane. In addition, we give some identities and properties of the new Narayana triangle.
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7

AU-YANG, HELEN, and JACQUES H. H. PERK. "STAR-TRIANGLE EQUATIONS AND IDENTITIES IN HYPERGEOMETRIC SERIES." International Journal of Modern Physics B 16, no. 14n15 (2002): 1853–65. http://dx.doi.org/10.1142/s0217979202011561.

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In this paper, we introduce the cyclic basic hypergeometric series p + 1Φp with q → ω where ωN = 1. This is a terminating series with N terms, whose summand has period N. We show how the Fourier transform of the weights of the integrable chiral Potts model are related to the 2Φ1, which is summable. We show that 3Φ2 satisfies certain transformation formulae. We then show that the Saalschützian 4Φ3 series is summable at argument z = ω. This then gives the simplest proof of the star-triangle relation in the chiral Potts model. Finally, we let N → ∞, where the star-triangle equation becomes a two-
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8

Amrouche, Said, and Hacène Belbachir. "Asymmetric extension of Pascal-Delannoy triangles." Applicable Analysis and Discrete Mathematics, no. 00 (2022): 28. http://dx.doi.org/10.2298/aadm200411028a.

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In this paper, we give a generalization of the Pascal triangle called the quasi s-Pascal triangle. For this, consider a set of lattice path, which is a dual approach to the definition of Ramirez and Sirvent: A Generalization of the k-bonacci Sequence from Riordan Arrays. The electronic journal of combinatorics, 22(1) (2015), 1-38. We give the recurrence relation for the sum of elements lying over finite ray of the quasi s-Pascal triangle, then, we establish a q-analogue of the coefficient of this triangle. Some identities are also given.
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9

WOSPAKRIK, H. J. "DISPERSIVE DERIVATION OF THE TRIANGLE ANOMALY." Modern Physics Letters A 01, no. 06 (1986): 403–7. http://dx.doi.org/10.1142/s0217732386000506.

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The convergence properties of the invariant form factors dispersion integrals corresponding to the VVA triangle diagram are examined. It is found that there is a particular Lorentz decomposition of the VVA 3-point function where one of its invariant form factors diverges logarithmically. This is rendered convergent by introducing one substraction constant that turns out to be proportional to the anomalous term of the vector Ward identities.
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10

Panagiotis, Chr Stefanides. "Golden Root Geometry Structuring the Polyhedra and other Forms Via Plato’s Triangles. Quadrature of Circle." DIALOGO 1, no. 1 (2014): 37–42. http://dx.doi.org/10.51917/dialogo.2014.1.1.4.

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Under Golden Root Geometry Structuring the Polyhedra and other Forms Via Plato’s Triangles, we refer to the basic geometric configurations which, as this theory contemplates, are necessary for the progressive mode of formation of the five polyhedral and the geometries involved in their sections and related circles and further to logarithms, via lines, areas and volumes. Basis of all these structures is a very special Scalene Orthogonal Triangle “Plato’s Most Beautiful” [F25], together with his Orthogonal Isosceles one. Structural Forms are identified bearing in common these triangular identiti
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11

Wagoner, John. "Triangle identities and symmetries of a subshift of finite type." Pacific Journal of Mathematics 144, no. 1 (1990): 181–205. http://dx.doi.org/10.2140/pjm.1990.144.181.

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12

Flórez, Rigoberto, Robinson A. Higuita, and Antara Mukherjee. "The geometry of some Fibonacci identities in the Hosoya triangle." Involve, a Journal of Mathematics 16, no. 2 (2023): 183–200. http://dx.doi.org/10.2140/involve.2023.16.183.

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13

Becker, Elisabeth Jane. "Another Fateful Triangle: Jews, Muslims, Europe." Religions 15, no. 11 (2024): 1342. http://dx.doi.org/10.3390/rel15111342.

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This paper argues that Jews–Muslims–Europe is a fateful triangle, in which identities and identifications both inform and form one another. It draws on interview-based research at the Jewish Museum Berlin to showcase how Jewish and Muslim positionalities have become entwined in the context of contemporary Berlin, Germany, and Europe. At the same time, it showcases how the positionality of strangerhood can provide a critical perspective for understanding and articulating Europe as a place of pluralism, both present and past. What emerges is a sociocultural terrain in which Muslims, Jews, and Eu
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14

Xi, Gao Wen, and Zheng Ping Zhang. "Summations of Inverse Generalized Harmonic Numbers with Riordan Arrays." Applied Mechanics and Materials 687-691 (November 2014): 1394–98. http://dx.doi.org/10.4028/www.scientific.net/amm.687-691.1394.

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By observing that the infinite triangle obtained from some generalized harmonic numbers follows a Riordan array, we using connections between the Stirling numbers of both kinds and other inverse generalized harmonic numbers. we proved some combinatorial sums and inverse generalized harmonic number identities.
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15

Kılıç, Emrah, and Helmut Prodinger. "Identities with squares of binomial coefficients: An elementary and explicit approach." Publications de l'Institut Math?matique (Belgrade) 99, no. 113 (2016): 243–48. http://dx.doi.org/10.2298/pim1613243k.

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In 2014, Slavik presented a recursive method to find closed forms for two kinds of sums involving squares of binomial coefficients. We give an elementary and explicit approach to compute these two kinds of sums. It is based on a triangle of numbers which is akin to the Stirling subset numbers.
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16

Alova, Chard Aye. "On the Proof of Pascal’s Identity using Vedic Mathematics." La Sallianum Ars et Scientia 1, no. 1 (2020): 118–42. http://dx.doi.org/10.70228/cbj2022029.

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This paper presents the proof of Pascal's Identity using the sutras and methods of Vedic Mathematics. From the construction of the proof and the results of the theorem, corollaries have been set up and fundamental properties have been explained. All these finally exhibit its fascinating product-the Pascal’s Triangle. The fundamental properties of the Pascal’s Triangle are also elaborated and discussed using the lens of Vedic Mathematics, such as, binomial coefficients of the binomial theorem, and the property called unimodality. This paper is a result of the establishment of the different form
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17

Belbachir, Hacéne, Abdelkader Bouyakoub, and Fariza Krim. "On Recurrences in Generalized Arithmetic Triangle." Mathematica Slovaca 73, no. 2 (2023): 305–34. http://dx.doi.org/10.1515/ms-2023-0025.

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Abstract In the present paper, we consider the generalized arithmetic triangle called GAT which is structurally identical to Pascal’s triangle for which we keep the Pascal’s rule of addition and we replace both legs by two sequences (an ) n≥1 and (bn ) n≥1 with a 0 = b 0 = Ω. Our goal is to describe the recurrence relation associated to the sum of elements lying along a finite ray in this triangle. As consequences, we obtain some combinatorial properties and we establish that the sum of elements lying along a main rising diagonal is a convolution of generalized Fibonacci sequence and another s
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18

Stephenson, Paul. "108.37 A parent figure for a family of triangle number identities." Mathematical Gazette 108, no. 573 (2024): 513. http://dx.doi.org/10.1017/mag.2024.121.

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19

Xi, Gao Wen, Lan Long, Xue Quan Tian, and Zhao Hui Chen. "Inverse Generalized Harmonic Numbers with Riordan Arrays." Advanced Materials Research 842 (November 2013): 750–53. http://dx.doi.org/10.4028/www.scientific.net/amr.842.750.

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In this paper, By observing that the infinite triangle obtained from some generalized harmonic numbers follows a Riordan array, we obtain connections between the Stirling numbers of both kinds and other inverse generalized harmonic numbers. Further, we proved some combinatorial sums and inverse generalized harmonic number identities.
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20

Annor, Dickson Y. B., and Richard K. Boadi. "Traces in SL(3,C) and SU(2,1) Groups." International Journal of Pure Mathematical Sciences 17 (October 2016): 19–29. http://dx.doi.org/10.18052/www.scipress.com/ijpms.17.19.

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In this paper we prove some trace identities in SL(3,C) and SU(2,1) groups. We also present the merits on how to parametrise pair of pants via traces and cross-ratio. Finally, we compute traces of matrices that are generated by complex reflections in complex triangle groups.
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21

Bednarz, Urszula, and Małgorzata Wołowiec-Musiał. "Distance Fibonacci Polynomials." Symmetry 12, no. 9 (2020): 1540. http://dx.doi.org/10.3390/sym12091540.

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In this paper, we introduce a new kind of generalized Fibonacci polynomials in the distance sense. We give a direct formula, a generating function and matrix generators for these polynomials. Moreover, we present a graph interpretation of these polynomials, their connections with Pascal’s triangle and we prove some identities for them.
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22

Abrar, Mukhlash. "Stance Taking and Identity in Classroom Interactions: A Small Scale Study." PAROLE: Journal of Linguistics and Education 10, no. 1 (2020): 22–35. http://dx.doi.org/10.14710/parole.v10i1.22-35.

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This present article is mainly concerned with the nature of stance-taking and identity in classroom interaction. The data of the research were taken from the interactions in an English Foreign Language class. Going through the framework of stance triangle (Du Bois, 2007), the author explored the features of stances that are frequently taken in foreign language classroom interactions and the identities enacted from the interactions. The finding of the research suggested that epistemic stance was dominantly taken in the interactions, especially by the students. This unequal distribution of stanc
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23

WEST, GEOFFREY B. "REMARKS AND RIGOROUS BOUNDS RELATING TO THE DECAY Z → πγ AND ITS RELATIONSHIP TO THE ANOMALY". Modern Physics Letters A 05, № 27 (1990): 2281–87. http://dx.doi.org/10.1142/s0217732390002614.

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It is rigorously shown that the amplitude for the decay Z → πγ must fall at least as fast as [Formula: see text]. Consequently its branching ratio must be smaller than 10−4; with slightly less conservative assumptions, this limit reduces to 5 × 10−6. The anomaly, the triangle graph and the Ward identities are shown to be consistent with both these bounds and the rate for π0 → 2γ.
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24

Gilchrist, M., та S. Shelah. "Identities on cardinals less than ℵω". Journal of Symbolic Logic 61, № 3 (1996): 780–87. http://dx.doi.org/10.2307/2275784.

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Let κ be an uncountable cardinal and the edges of a complete graph with κ vertices be colored with ℵ0 colors. For the Erdős-Rado theorem implies that there is an infinite monochromatic subgraph. However, if , then it may be impossible to find a monochromatic triangle. This paper is concerned with the latter situation. We consider the types of colorings of finite subgraphs that must occur when the edges of the complete graph on vertices are colored with ℵ0 colors. In particular, we are concerned with the case ℵ1 ≤ κ ≤ ℵω.The study of these color patterns (known as identities) has a history that
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25

Lewis, Barry. "More power to Pascal." Mathematical Gazette 92, no. 525 (2008): 454–65. http://dx.doi.org/10.1017/s0025557200183652.

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Pascal’s triangle is the most famous of all number arrays - full of patterns and surprises. One surprise is the fact that lurking amongst these binomial coefficients are the triangular and pyramidal numbers of ancient Greece, the combinatorial numbers which arose in the Hindu studies of arrangements and selections, together with the Fibonacci numbers from medieval Italy. New identities continue to be discovered, so much so that their publication frequently excites no one but the discoverer.
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26

Rahmati, Mohammad Reza. "Arakelov Inequalities for a Family of Surfaces Fibered by Curves." Mathematics 12, no. 13 (2024): 1963. http://dx.doi.org/10.3390/math12131963.

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The numerical invariants of a variation of Hodge structure over a smooth quasi-projective variety are a measure of complexity for the global twisting of the limit-mixed Hodge structure when it degenerates. These invariants appear in formulas that may have correction terms called Arakelov inequalities. We investigate numerical Arakelov-type equalities for a family of surfaces fibered by curves. Our method uses Arakelov identities in weight-one and weight-two variations of Hodge structure in a commutative triangle of two-step fibrations. Our results also involve the Fujita decomposition of Hodge
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27

Abdelhafiz, M., F. M. Khaliel, and Ramadan Tantawi. "General Fermion Triangle Amplitude in the Coupling of Spin-1 Particles and Ward Identities." Mathematical and Computational Applications 9, no. 2 (2004): 285–98. http://dx.doi.org/10.3390/mca9020285.

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28

Van Liempt, Ilse. "Young Dutch Somalis in the UK: Citizenship, Identities and Belonging in a Transnational Triangle." Mobilities 6, no. 4 (2011): 569–83. http://dx.doi.org/10.1080/17450101.2011.603948.

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29

HAYNES, ALAN K. "NUMERATORS OF DIFFERENCES OF NONCONSECUTIVE FAREY FRACTIONS." International Journal of Number Theory 06, no. 03 (2010): 655–66. http://dx.doi.org/10.1142/s1793042110003113.

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An elementary but useful fact is that the numerator of the difference of two consecutive Farey fractions is equal to one. For triples of consecutive fractions, the numerators of the differences are well understood and have applications to several interesting problems. In this paper, we investigate numerators of differences of fractions which are farther apart. We establish algebraic identities between such differences which then allow us to calculate their average values by using properties of a measure preserving transformation of the Farey triangle.
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30

Ayanee, Aneesa. "Istanbul as Palimpsest: The Black Book as a Postmodernist Representation of Turkish History and Culture." SMART MOVES JOURNAL IJELLH 9, no. 2 (2021): 158–67. http://dx.doi.org/10.24113/ijellh.v9i2.10918.

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Orhan Pamuk’s novel, The Black Book is a postmodern chronicle of Turkey in which the author uses the structure of a detective novel to delineate the themes of identity, culture and hybridity. The paper aims to depict how Pamuk foregrounds that identities are never determinate but are forever eluding by presenting a love triangle which disappears underneath a mystical quest for one’s true self. Galip’s assuming the persona of his alter-ego, Celal; Prince Osman’s pursuit of true knowledge through reading diverse books and ultimately rejecting them; and Bedii Usta’s disillusion with the State for
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31

Işık, Tuba. "The Effects of Digital Culture and New Media on Religious Identity in The Postmodern Age: The Case of Türkiye." Medya ve Din Araştırmaları Dergisi, Special Issue 1 (November 28, 2024): 253–80. https://doi.org/10.47951/mediad.1524883.

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Postmodernism emerged as a reaction to the intellectual thought and values of the new modern era, particularly as modernist orientations reached an impasse. Critiquing various aspects of modernism, the concept of postmodernism has gained even greater significance in the contemporary era under the influence of digitalization. It embraces online existence, globalization, objective reality, hyperrealist movements, and, broadly, digital culture. With the impact of digital culture, religious life, teachings, tendencies, and practices have increasingly shifted to virtual platforms, and beliefs are p
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32

Porandla, Kishan. "Comprehensive Psychotherapy (CPT) for Psychotic Disorders by using Gayatri Mantra(Bio Psycho Socio Spiritual Approach)." Telangana Journal of IMA 01, no. 02 (2021): 41–45. http://dx.doi.org/10.52314/tjima.2021.v1i2.41.

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Bio-psycho-socio-spiritual approach is the basis for CPT. In the bio-psycho-socio-spiritual approach hierarchy, spirituality takes the top place in the triangle and is effecting the functioning of all other lower levels in a bidirectional way. Spirituality is “an indi-vidual’s search for ultimate meaning of life through participation in religion and through a belief in God, family, nature, rational-ism, humanism and the arts”. All these factors can influence the patient’s health both in illness and wellness and interact with one another Biological psychiatry is good at addressing illness, but,
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33

NIEDBALSKI, WIESŁAW. "BTV-vector-host interaction: the epidemiological triangle in disease transmission." Medycyna Weterynaryjna 74, no. 1 (2018): 5996–2018. http://dx.doi.org/10.21521/mw.5996.

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Understanding the interaction between the bluetongue virus (BTV), the Culicoides vector and the ruminant host is essential to control bluetongue (BT). This triangle of interaction can be understood individually at the level of the virus, the level of vector and the host level. BTV-vector-host interactions involve physiological and ecological mechanisms, and they have evolved under a specific set of environmental conditions. Recent advances in understanding this interaction include increased knowledge of the virus replication cycle, BTV immunology and pathogenesis in the vertebrate host, as wel
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34

Gilchrist, Martin, та Saharon Shelah. "The consistency of ZFC + 2ℵ0 > ℵω + ℐ(ℵ2) = ℐ(ℵω)". Journal of Symbolic Logic 62, № 4 (1997): 1151–60. http://dx.doi.org/10.2307/2275632.

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Let κ be an uncountable cardinal and the edges of a complete graph with κ vertices be colored with ℵ0 colors. For the Erdős-Rado theorem implies that there is an infinite monochromatic subgraph. However, if , then it may be impossible to find a monochromatic triangle. This paper is concerned with the latter situation. We consider the types of colorings of finite subgraphs that must occur when . In particular, we are concerned with the case ℵ1 ≤ κ ≤ ℵω.The study of these color patterns (known as identities) has a history that involves the existence of compactness theorems for two cardinal model
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35

Mylonas, Yiannis. "Mainstreaming class (dis)contents in popular film and TV series: HBO’s The White Lotus (S1) and Ruben Östlund’s Triangle of Sadness." Journal of Class & Culture 3, no. 2 (2024): 145–62. https://doi.org/10.1386/jclc_00045_1.

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The empirical focus of this study is Season 1 of the popular HBO series The White Lotus (2020) and Ruben Östlund’s film Triangle of Sadness (2022), both of which achieved worldwide popularity and critical acclaim. The study draws on narrative analysis, to examine class relations and class subjectivities in these productions. Anchored in today’s highly precarious and competitive neo-liberal capitalist context, with its growing inequalities and crises, these productions tackle different classed selves, relations and circumstances, depicted in both realistic and metaphorical terms. The White Lotu
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36

Fráně, Luděk, Daniel Kný, Karel B. Müller, and Kamil Fleissner. "Cross-border cooperation in the triangle Euroregions Nisa and Šumava from the perspective of mayors and mayoresses." Geografie 125, no. 2 (2020): 243–69. http://dx.doi.org/10.37040/geografie2020125020243.

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The aim of the research article is to present opinions of mayors and mayoress from Euroregions Neisse/Nisa/Nysa and Šumava/Bayerischer Wald-Unterer Inn/Mühlviertel, who are important local agents of cross-border cooperation. We want to determine whether and to what extent a positive perception of borders and crossborder cooperation, as well as a positive experience with cross-border activities, contribute to the process of horizontal (active border) Europeanization and development of complementary and inclusive collective identities. We collected responses to our questionnaire from 79 mayors.
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37

Willmes, Rolien, and Margit van Wessel. "The Construction of (Non-)Responsibility in Governance Networks." SAGE Open 11, no. 3 (2021): 215824402110306. http://dx.doi.org/10.1177/21582440211030620.

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The notion of governance networks urges study of complex interaction processes rather than formal institutions. We argue that the study of interaction in governance networks should be widened to include different ways in which interaction shapes network outcomes. Here, we focus on a dimension of governance networks that is understood as fundamental and problematic, but that as yet has not been researched through the study of interaction: the construction of responsibility in such networks. We propose a model for the analysis of responsibility construction through (implicit) negotiation on the
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38

Nuri, Najafov Zafar. "Conceptual Bases of the İmpact of Ethnic Conflicts on Regional and İnternational Security." Polit Journal: Scientific Journal of Politics 1, no. 2 (2021): 74–84. http://dx.doi.org/10.33258/polit.v1i2.447.

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The article examines the impact of ethnic conflicts on regional and international security. It is noted that during the Cold War, it was impossible to conduct serious research in this area. Because ethnic conflicts were seen as an internal affair of states. However, with the end of the Cold War, the collapse of absolute sovereignty intensified the interaction between the domestic life of the country and the international community. Such a development in the context of globalization has turned ethnic conflicts into a problem of international politics, taking them out of the context of the inter
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39

Hwu, Chyanbin. "Anisotropic Plates With Various Openings Under Uniform Loading or Pure Bending." Journal of Applied Mechanics 57, no. 3 (1990): 700–706. http://dx.doi.org/10.1115/1.2897080.

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In the case when an anisotropic plate contains a triangular, oval, or square opening, the only solution available in the literature is an approximate solution for orthotropic plates with openings, which was obtained by Lekhnitskii using the complex variable formulation. Solutions for any kind of anisotropic plates with various openings are presented in this paper by applying the Stroh formalism and using the technique of conformal mapping. Unlike the former results, which have different orders of approximation for different openings, the solutions presented here have only one simple unified ex
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40

Cereceda, José Luis. "An alternative recursive formula for the sums of powers of integers." Mathematical Gazette 100, no. 548 (2016): 233–38. http://dx.doi.org/10.1017/mag.2016.59.

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The sums of powers of the first n positive integers Sp(n) = 1p + 2p + …+np, (p = 0, 1, 2, … )satisfy the fundamental identity(1)from which we can successively compute S0 (n), S1 (n), S2 (n), etc. Identity (1) can easily be proved by using the binomial theorem; see e.g. [1, 2]. Several variations of (1) are also well known [3, 4, 5].In this note, we derive the following lesser-known recursive formula for Sp (n):(2)where denote the (unsigned) Stirling numbers of the first kind, also known as the Stirling cycle numbers (see e.g. [6, Chapter 6]). Table 1 shows the first few rows of the Stirling nu
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41

Landri, Ngaouri, and Yomb Mbeleg Basile. "Linguistic identity and insecurity in class of national languages and cultures in Cameroon." ChronAfrica 2, no. 1 (2025): 97–113. https://doi.org/10.62841/chronafrica.2025.221.

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This article, which focuses on identity management and linguistic insecurity, focuses on national language and culture classes (LCN) and uses a communicative approach. We have positioned ourselves in the teaching pole of the didactic triangle. The results obtained highlight the linguistic insecurity of identity marked by the fault of the teacher and the correctness of the learner, the linguistic insecurity materialized specifically in this study by the orthographic, morphological and morphosyntactic dysfunctions that teachers face, and the consequent deviations in terms of distortion that this
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42

Schalk, Peter. "The Vallipuram Buddha Image "Rediscovered"." Scripta Instituti Donneriani Aboensis 16 (January 1, 1996): 295–312. http://dx.doi.org/10.30674/scripta.67235.

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When, at the end of the 19th century, the Visnu kovil in Vallipuram, in Vatamaracci, in northern Ilam (Lanka) was (re)built, a Buddha statue was unearthed close to this temple, 50 yardsnortheast of it. It remained in the lumber room of this temple until 1902, when it was set up in Old Park at Yalppanam under a bo-tree. In 1906, the Vallipuram Buddha image was presented by Governor Sir Henry Blake to the King of Siam, who was particularly anxious to have it, as it was supposed to be of an archaic type. This event together with the statue, was forgotten for almost 90 years. All Tamilar and Sinha
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43

Preti, Michelangelo. "STR: A Mathematica package for the method of uniqueness." International Journal of Modern Physics C 31, no. 10 (2020): 2050146. http://dx.doi.org/10.1142/s0129183120501466.

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We present Star–Triangle Relations (STRs), a Mathematica® package designed to solve Feynman diagrams by means of the method of uniqueness in any Euclidean space-time dimension. The method of uniqueness is a powerful technique to solve multi-loop Feynman integrals in theories with conformal symmetry imposing some relations between the powers of propagators and the space-time dimension. In our algorithm, we include both identities for scalar and Yukawa type integrals. The package provides a graphical environment in which it is possible to draw the desired diagram with the mouse input and a set o
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44

Muñiz Martínez, Norberto. "Towards a network place branding through multiple stakeholders and based on cultural identities." Journal of Place Management and Development 9, no. 1 (2016): 73–90. http://dx.doi.org/10.1108/jpmd-11-2015-0052.

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Purpose This paper aims to analyse the creation of a place brand for Colombia’s coffee region, within the framework of the evolution of place branding from traditional, one institution-led marketing approaches towards a more modern concept of network branding involving multiple stakeholders. The production of quality coffee in this region has been complemented with the development of coffee-themed rural tourism, which helps Colombia to enhance the value and positioning of its resources in the context of the economic and cultural exchanges inherent in globalisation. Design/methodology/approach
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Putcha, Rumya S. "The Mythical Courtesan." Meridians 20, no. 1 (2021): 127–50. http://dx.doi.org/10.1215/15366936-8913140.

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Abstract This article interrogates how and why courtesan identities are simultaneously embraced and disavowed by Brahman dancers. Using a combination of ethnographic and critical feminist methods, which allow the author to toggle between the past and the present, between India and the United States, and between film analysis and the dance studio, the author examines the cultural politics of the romanticized and historical Indian dancer—the mythical courtesan. The author argues that the mythical courtesan was called into existence through film cultures in the early twentieth century to provide
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Homa, Agostinho Iaqchan Ryokiti. "Robotics Simulators in STEM education." Acta Scientiae 21, no. 5 (2019): 178–91. http://dx.doi.org/10.17648/acta.scientiae.5417.

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This article discusses STEM (Science, Technology, Engineering and Mathematics) education as an initiative from various countries around the world to address young people's lack of interest in careers in Science, Mathematics, Technology and Engineering. Understanding that STEM education must explore two or more of STEM themes, using transdisciplinarity, engaging the student in activities with this approach, we present the studies of an activity proposal integrating Engineering, Technology and Mathematics with the objective of learning Mathematics. In this activity students work with situations
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Msughter, Aondover, Eric, Sabiu Garba, and Aisha Bala Rabiu. "Framing Theory Perspective of Identity and Narratives of Conflict in Nigerian Media." Indian Journal of Mass Communication and Journalism 1, no. 2 (2023): 1–5. http://dx.doi.org/10.54105/ijmcj.d1039.121221.

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The first casualty in any conflict situation is often the nature of communication among the conflict actors. Perhaps, that is why conflict is commonly referred to as “breakdown in communication.” In this direction, this study examines framing theory perspectives of identity and narratives of conflict in Nigeria media. Conflict is naturally attractive and a source of news for the media. It is “the bread and butter” of journalism. Since independence in 1960, Nigeria has suffered some of the most obstinate conflicts, most of them constructed from differences in religious and ethnic identities. Re
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Ramanathan, Nytha, Eduardo Ramirez, Dorothy Suzuki-Burke, and Darren A. Narayan. "Closeness Centrality of Asymmetric Trees and Triangular Numbers." Mathematics 12, no. 19 (2024): 2994. http://dx.doi.org/10.3390/math12192994.

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The combinatorial problem in this paper is motivated by a variant of the famous traveling salesman problem where the salesman must return to the starting point after each delivery. The total length of a delivery route is related to a metric known as closeness centrality. The closeness centrality of a vertex v in a graph G was defined in 1950 by Bavelas to be CC(v)=|V(G)|−1SD(v), where SD(v) is the sum of the distances from v to each of the other vertices (which is one-half of the total distance in the delivery route). We provide a real-world example involving the Metro Atlanta Rapid Transit Au
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Yang, Demei, and Shilong Tao. "Figure and Ground in Katherine Mansfield’s “Bliss”: A Cognitive Reading." English Language and Literature Studies 14, no. 3 (2024): 17. http://dx.doi.org/10.5539/ells.v14n3p17.

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“Bliss” is a masterpiece of Katherine Mansfield’s short stories. This article aims to illustrate the prominence of figures and thematic ideas in “Bliss” and to explore its internal cognitive principles based on the figure-ground theory of cognitive poetics. In “Bliss”, the prominence of character, image and theme gives rise to the formation and reversal of “figure” and “ground” within the literary text. Through the conflict between different characters such as extramarital affair or tr
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Herasymenko, Nina. "MODERN MILITARY PROSE: GENRE AND STYLE TYPOLOGY." Слово і Час, no. 3 (June 30, 2023): 35–49. http://dx.doi.org/10.33608/0236-1477.2023.03.35-49.

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The paper deals with the typology of modern Ukrainian military prose based on the analysis of relevant novels. According to the structural and functional features of the works, it is reasonable to classify them using division into high/mass/intermediate literature. The first type includes complex and multidimensional texts (with allusions, literary reminiscences, irony, parody, etc.), and their action takes place mainly in a mental sphere. Heroes are characterized by understanding of social processes and war realities (significant is the presence of two identities, “properly Ukrainian” and “So
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