Journal articles: 'Hyperbolic'

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Pulungan, Ulfa Julianti, and Sisila Fitriany Damanik. "Hyperboles Used by A Beauty Influencer in The Beauty Product Reviews Videos on YouTube." TRANSFORM : Journal of English Language Teaching and Learning 11, no. 3 (March 11, 2023): 127. http://dx.doi.org/10.24114/tj.v11i3.44032.

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This study attempts to analyze hyperboles used by a beauty influencer in the beauty product review videos on YouTube. One of the most famous beauty influencer named Suhay Salim in her beauty product reviews videos on her YouTube channel often applying hyperbolic utterances. By following Claridge (2011) and Cano Mora (2006) theory of hyperbole, the study aims to find out the form of hyperbole that used by Suhay Salim in her beauty product reviews videos, and also how the hyperbolic utterance conveyed and why they used in the ways they are. In order to achieve the aims, the data is in the form of utterances that was selected from two of Suhay Salim’s most popular videos which contain skincare products review on her YouTube channel. The study adopts descriptive qualitative research method in order to give detailed explanation in describing the phenomenon. The results show that Suhay Salim uses six forms of hyperbole such as single word, phrasal, clausal, numerical, comparison and repetition hyperbole. And they are conveyed through variations of words, phrases and clauses. There are found some hyperbolic markers which can be grouped into two hyperbole form. There are found more than one hyperbolic marker in one example. And there are also found some examples have the same hyperbolic utterance. Moreover, the use of the hyperbole makes the utterances during reviewing the products way more attractive, convincing and persuasive which can attracts the viewer’s attention and influence them to buy the same product as the reviewer.

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Petkov, Emiliyan G. "Development and Implementation of NURBS Models of Quadratic Curves and Surfaces." Serdica Journal of Computing 3, no. 4 (January 11, 2010): 425–48. http://dx.doi.org/10.55630/sjc.2009.3.425-448.

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This article goes into the development of NURBS models of quadratic curves and surfaces. Curves and surfaces which could be represented by one general equation (one for the curves and one for the surfaces) are addressed. The research examines the curves: ellipse, parabola and hyperbola, the surfaces: ellipsoid, paraboloid, hyperboloid, double hyperboloid, hyperbolic paraboloid and cone, and the cylinders: elliptic, parabolic and hyperbolic. Many real objects which have to be modeled in 3D applications possess specific features. Because of this these geometric objects have been chosen. Using the NURBS models presented here, specialized software modules (plug-ins) have been developed for a 3D graphic system. An analysis of their implementation and the primitives they create has been performed.

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Ikhlas Mahdi Hassan. "A pragma-linguistic Analysis of hyperbolic Constructions in book Blurbs." Journal of the College of Basic Education 20, no. 85 (December 26, 2022): 815–31. http://dx.doi.org/10.35950/cbej.v20i85.8608.

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The main purpose of this paper is to investigate hyperbole inbook blurbs. Back cover blurbs, brief texts displayed on book covers,provide information about a book to potential readers. They aremainly evaluative- persuasive texts which summarize the mainfeatures of the book and provide a mostly subjective evaluation usinglexical, pragmatic and textual devices. One of these devices ishyperbole. Hyperbole (also referred to as exaggeration oroverstatement) has been studied in rhetoric and literary contexts, butonly relatively recently in book blurbs. This paper aims to analyze andclassify hyperbolic constructions in back cover blurbs of selectedbooks in order to identify their pragmatic functions as evaluation andpersuasion. In order to achieve the aim of the present study, thirty book blurbsof linguistics and literary books were analyzed through adopting alinguistic and pragmatic model. The findings reveal that hyperbolicconstructions are realized widely via lexical devices especiallyadjectives. Moreover, most of the hyperbolic constructions used in theselected texts fulfill certain pragmatic functions among whichevaluation and emphasis are highly frequent. Based on this, hyperboleis primarily evaluative rather than a descriptive or explanatory device.Key words: hyperbole, book blurbs, pragmatic functions

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Li, Yunyue, Yang Zhang, and Jon Claerbout. "Hyperbolic estimation of sparse models from erratic data." GEOPHYSICS 77, no. 1 (January 2012): V1—V9. http://dx.doi.org/10.1190/geo2011-0099.1.

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We have developed a hyperbolic penalty function for image estimation. The center of a hyperbola is parabolic like that of an [Formula: see text] norm fitting. Its asymptotes are similar to [Formula: see text] norm fitting. A transition threshold must be chosen for regression equations of data fitting and another threshold for model regularization. We combined two methods: Newton’s and a variant of conjugate gradient method to solve this problem in a manner we call the hyperbolic conjugate direction (HYCD) method. We tested examples of (1) velocity transform with strong noise (2) migration of aliased data, and (3) blocky interval velocity estimation. For the linear experiments we performed in this study, nonlinearity is introduced by the hyperbolic objective function, but the convexity of the sum of the hyperbolas assures the convergence of gradient methods. Because of the sufficiently reliable performance obtained on the three mainstream geophysical applications, we expect the HYCD solver method to become our default method.

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Haryadi, Rafi, and Yusmalinda Yusmalinda. "AN ANALYSIS OF HYPERBOLE USED IN HEART OF DARKNESS BY JOSEPH CONRAD." LINGUA LITERA : journal of english linguistics and literature 7, no. 2 (September 12, 2022): 12–22. http://dx.doi.org/10.55345/stba1.v7i2.165.

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Abstract The purpose of this research was to identify the forms of hyperbole found in Heart of Darkness by Joseph Conrad. The research data were taken from the novel Heart of Darkness by Joseph Conrad. The writer applied Claridge’s theory to classify the forms of hyperbole. There are seven forms of hyperbole. They are single-word hyperbole, phrasal hyperbole, clausal hyperbole, numerical hyperbole, hyperbolic superlatives, hyperbolic comparison, and hyperbolic repetition. This study was qualitative research. This study reveals that seven forms of hyperbole according to Claridge (2011) were found in Heart of Darkness by Joseph Conrad. The forms are single-word hyperbole, phrasal hyperbole, clausal hyperbole, numerical hyperbole, the role of the superlative, comparison, and repetition. From the occurrence of all seven forms of hyperbole, it was found that the most form of hyperbole was clausalhyperbole. In conclusion, it can be said that Joseph Conrad used all forms of hyperbole in the novel Heart of Darkness.

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Ovejas Ramírez, Carla. "Hyperbolic markers in modeling hyperbole: a scenario-based account." Círculo de Lingüística Aplicada a la Comunicación 85 (January 11, 2021): 61–71. http://dx.doi.org/10.5209/clac.66249.

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This article discusses hyperbolic markers in modeling hyperbole from the perspective of a scenario-based account of language use within the framework of Cognitive Linguistics. In this view, hyperbole is seen as a mapping across two conceptual domains (Peña y Ruiz de Mendoza, 2017), a source domain, here relabeled as the magnified scenario, which contains a hypothetical unrealistic situation based on exaggeration, and a target domain or observable scenario which depicts the real situation addressed by the hyperbolic expression. Since the hypothetical scenario is a magnified version of the observable scenario, the mapping contains source-target matches in varying degrees of resemblance. Within this theoretical context, the article explores resources available to speakers for the construction of magnified scenarios leading to hyperbolic interpretation. Among such resources, we find hyperbole markers and the setting up of domains of reference. Finally, the article also discusses hyperbole blockers, which cancel out the activity of the other hyperbolic meaning construction mechanisms.

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Reynolds, William F. "Hyperbolic Geometry on a Hyperboloid." American Mathematical Monthly 100, no. 5 (May 1993): 442. http://dx.doi.org/10.2307/2324297.

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Reynolds, William F. "Hyperbolic Geometry on a Hyperboloid." American Mathematical Monthly 100, no. 5 (May 1993): 442–55. http://dx.doi.org/10.1080/00029890.1993.11990430.

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IZUMIYA, SHYUICHI, DONGHE PEI, and TAKASI SANO. "SINGULARITIES OF HYPERBOLIC GAUSS MAPS." Proceedings of the London Mathematical Society 86, no. 2 (March 2003): 485–512. http://dx.doi.org/10.1112/s0024611502013850.

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In this paper we adopt the hyperboloid in Minkowski space as the model of hyperbolic space. We define the hyperbolic Gauss map and the hyperbolic Gauss indicatrix of a hypersurface in hyperbolic space. The hyperbolic Gauss map has been introduced by Ch. Epstein [J. Reine Angew. Math. 372 (1986) 96–135] in the Poincaré ball model, which is very useful for the study of constant mean curvature surfaces. However, it is very hard to perform the calculation because it has an intrinsic form. Here, we give an extrinsic definition and we study the singularities. In the study of the singularities of the hyperbolic Gauss map (indicatrix), we find that the hyperbolic Gauss indicatrix is much easier to calculate. We introduce the notion of hyperbolic Gauss–Kronecker curvature whose zero sets correspond to the singular set of the hyperbolic Gauss map (indicatrix). We also develop a local differential geometry of hypersurfaces concerning their contact with hyperhorospheres.2000 Mathematical Subject Classification: 53A25, 53A05, 58C27.

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Botvynovska, Svitlana, Zhanetta Levina, and Hanna Sulimenko. "IMAGING OF A HYPERBOLIC PARABOLOID WITH TOUCHING LINE WITH THE PARABOLAL WRAPPING CONE." Management of Development of Complex Systems, no. 48 (December 20, 2021): 53–60. http://dx.doi.org/10.32347/2412-9933.2021.48.53-60.

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The paper is dedicated to architectural structures modeling by means of computer-graphics. Images on the monitor represent perspective. That’s why the images could be assessed from the most convenient points as viewer’s position is considered to be the perspective center. Non-rectilinear profile makes the structure the most impressive. The hyperbolic paraboloid surface is researched. Parabolas and hyperbolas are the only forms of its sections except for tangent planes cases. Parabolas as contact lines are reviewed. Hyperbolic paraboloid is an infinite surface that’s why only a portion of it could be modeled. Four link space zigzag ({4l} indicator) is its best representation. In such case the non-rectilinear profile should be represented as a curve of second order semicircular arc. Modeling of a limited section does not affect the final modeling because the {4l} representation makes the depiction of all surface in that frame of axis that have the identified hyperbolic paraboloid looks like a cone. The paper’s objective is development of imaging technique using parabolic contact lines to design hyperbolic paraboloid surface and applicable to several surfaces of the same construction. To do so, parameter analysis of the task is conducted, the applicable theory is identified, and the hyperbolic paraboloid imaging technique using the set profile line in the form of any curve of second order is conducted, namely the imaging technique for contact parabola and the set of hyperbolic paraboloids which it set forth. The set of plans that may contain the parabolic contact line set is two-parameter. However, in general, the position of those planes is remains unknown. Thus, the task is as follows: find the third point of the plane that intersects the given wrapping cone along the parabola when the two points are given. These two points must belong to the same forming line on the cone. The imaging requires 7 parameters whereas the hyperbolic paraboloid has 8 parameters. That’s why with one parabolic contact line and given wrapping cone of the second order one-parameter set of hyperbolic paraboloids could be imaged. The paper shows how to image the contact line if the profile line is given as a parabola, ellipse, or hyperbola. The portion of one hyperbolic paraboloid may imaged when the parameters are aligned and any other bisecant of same perspective line of shape. Two portions of parabola conjugated due to the joint wrapping cone hyperbolic paraboloid imaging is demonstrated.

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ICHIHARA, KAZUHIRO. "INTEGRAL NON-HYPERBOLIKE SURGERIES." Journal of Knot Theory and Its Ramifications 17, no. 03 (March 2008): 257–61. http://dx.doi.org/10.1142/s0218216508006154.

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It is shown that a hyperbolic knot in the 3-sphere admits at most nine integral surgeries yielding non-hyperbolike 3-manifolds; namely, 3-manifolds which are reducible or whose fundamental groups are not infinite word-hyperbolic.

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Dian Budiarti. "HYPERBOLIC EXPRESSIONS AMONG NEWLY MOTHERS IN TEXT-BASED VIRTUAL COMMUNICATION." Linguistik Indonesia 42, no. 1 (January 31, 2024): 79–89. http://dx.doi.org/10.26499/li.v42i1.541.

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The present study examined the use of hyperbolic expressions in a text-based virtual communication context, specifically in an Indonesian newly mothers’ online chat room. The study employed a descriptive qualitative method to analyze 60 utterances containing hyperbolic expressions taken from the Mom Sharing WhatsApp group. Simak and catat methods were implemented to observe and take notes on the hyperbolic expressions used by the mothers identified based on McCarthy & Carter’s (2004) characterization. The collected data were then categorized into 7 forms of hyperbole proposed by Claridge (2010), and the possible functions behind the use of this figurative language were analyzed qualitatively based on the overall contexts. Results reveal that 6 forms of hyperbole were used in the chat room, namely single-word hyperbole, phrasal hyperbole, clausal hyperbole, numerical hyperbole, the role of superlative, and comparison. Furthermore, the expressions were found to serve various functions, namely to express emotions, to concretize the message and evoke imagination, to create humour, and to establish group identity. These findings contribute to the ongoing discourse on the use of hyperbole in everyday communication.

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Najoan, Pricilia Febbyolla, Deane J. Wowor, and Paula Rombepajung. "ANALYSIS OF HYPERBOLE IN “MOANA” MOVIE." KOMPETENSI 1, no. 03 (December 15, 2022): 332–47. http://dx.doi.org/10.53682/kompetensi.v1i03.1854.

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The purpose of this study is to find the hyperbole and to reveal the meaning of the hyperbole in “Moana” movie. The researcher used qualitative research in conducting the research. The data are collected from the primary source, that is the Moana movie. In analyzing the data, the researcher used the steps as follow 1). Organizing and familiarizing, 2) coding and reducing, 3) interpreting and representing. The result of this research proved that there are so many hyperboles in Moana movie. The researcher found twenty eight (28) hyperbolic expression. It can be classified into eight (8) Single word hyperbole, six (6) Pharsal hyperbole, five (5) clausal hyperbole, one (1) numerical hyperbole, five (5) the role of superlative, and four (4) repetition. Based on analysis the researcher found that the forms of hyperbole expression most dominantly used in Moana movie there were single word hyperbole eight (8) data.

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Zirakashvili, Natela. "Analytical solutions of some internal boundary value problems of elasticity for domains with hyperbolic boundaries." Mathematics and Mechanics of Solids 24, no. 6 (October 11, 2018): 1726–48. http://dx.doi.org/10.1177/1081286518805269.

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An analytical solution of two-dimensional problems of elasticity in the region bounded by a hyperbola in elliptic coordinates is constructed using the method of separation of variables. The stress–strain state of a homogenous isotropic hyperbolic body and that with a hyperbolic cut is studied when there are non-homogenous (non-zero) boundary conditions given on the hyperbolic boundary. The graphs for the numerical results of some test problems are presented.

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Mosher, Lee. "A hyperbolic-by-hyperbolic hyperbolic group." Proceedings of the American Mathematical Society 125, no. 12 (1997): 3447–55. http://dx.doi.org/10.1090/s0002-9939-97-04249-4.

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Bruce, Benjamin Baker, Diogo Oliveira e Silva, and Betsy Stovall. "Restriction inequalities for the hyperbolic hyperboloid." Journal de Mathématiques Pures et Appliquées 149 (May 2021): 186–215. http://dx.doi.org/10.1016/j.matpur.2021.01.009.

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Halawachy, Huda, and Nawar Alobaidy. "“Let us call it a truthful hyperbole!” A Semantic Perspective on Hyperbole in War Poetry on Iraq (2003)." International Journal of Language and Literary Studies 2, no. 4 (December 26, 2020): 151–66. http://dx.doi.org/10.36892/ijlls.v2i4.439.

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As has long been known, though prevalent in everyday discourse across cultures, hyperbole is a neglected figurative language in the linguistic and/or literary sphere. In this talk, we propose a semantic taxonomy of hyperbole in American and British modern war poetry showing how this taxonomy helps readers figure out the poet’s meaning on a deeper level via a variety of hyperboles. The main objectives are to (1) identify the elements of such a trope in the corpora, (2) approach a semantic taxonomy of hyperbolic elements, and (3) come up with the true hidden messages and nature of the trope in accordance with the typology of the semantic field under which the trope is embraced. The corpora consist of two impressive poems – ‘Abu Ghraib’ by Curtis D. Bennett (American), and ‘A Message from Tony Blair to the People of Iraq by David Roberts (British). Findings indicate that both the evaluative and the quantitative dimensions are key characteristics that often coincide and should, therefore, be included in every interpretation of the figurative hyperbolic language in war poetry. A strong preference is also observed for negative effects, auxesis, and absolute savage in the corpora, though the trope sounds positive on the surface.

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Najjar, Ibrahim, Kais Amir Kadhim, and Sami Al-Heeh. "Morphological shift of hyperbolic patterns in the Quran, with reference to English translation." FORUM / Revue internationale d’interprétation et de traduction / International Journal of Interpretation and Translation 19, no. 2 (December 31, 2021): 148–63. http://dx.doi.org/10.1075/forum.21010.naj.

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Abstract This study addresses the use of hyperbole in the Quran at the word level and its English translation. It investigates the morphological shift of hyperbolic patterns such as ‘Fa’uul (فعول), Fa’eel (فعيل) and Fa’aal’ (فعال) and their corresponding English translations. We attempt to determine the implications underlying the translation strategies for the translation quality of the data under study. Under this circumstance, the translator applied a series of translation strategies, such as literal translation, paraphrase, transposition, and morphological strategies, with transposition being the most employed strategy. Such strategies were in some cases a problem for the functions of the Quranic hyperboles. As such, the translation quality was occasionally poor.

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M GonzalezGonzalez, Jesus. "Hyperbolic Movement of Light as the Basis of Hyperbolic Medicine." International Journal of Science and Research (IJSR) 13, no. 2 (February 5, 2024): 1137–43. http://dx.doi.org/10.21275/sr24210014634.

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Riky Astina, I Wayan Juniartha, and Ni Nyoman Deni Ariyaningsih. "An Analysis Of Hyperbole In Album “The Chainsmoker"." ELYSIAN JOURNAL : English Literature, Linguistics and Translation Studies 1, no. 1 (September 15, 2021): 11–20. http://dx.doi.org/10.36733/elysian.v1i1.1554.

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This article discusses the hyperbole figure used in the lyrics of Chainsmokers songs. The author assumes that the hyperbole figurative language in the song lyrics is used to attract song lovers to be interested in buying original, not pirated, CD tapes. The article, entitled "Hyperbola language used in chainsmokers' songs, aims to identify the types and find the meaning of the hyperbola language in the song. To analyze the data, the main theory used in this article is the figurative language theory proposed by Knickerbocker and Reninger 1963, the theory of meaning proposed by Leech 1981 and some of another supporting theory. This article uses qualitative methods to provide a clear picture of the problems identified. Descriptive study in textual analysis is applied to describe the types and meanings of hyperbolic figures in the song lyric. The data is taken from several editions of the song released in 2017-2020.

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Stavek, Jiri. "Newton’s Hyperbola Observed from Newton’s Evolute (1687), Gudermann’s Circle (1833), the Auxiliary Circle (Pedal Curve and Inversion Curve), the Lemniscate of Bernoulli (1694) (Pedal Curve and Inversion Curve) (09.01.2019)." Applied Physics Research 11, no. 1 (January 29, 2019): 65. http://dx.doi.org/10.5539/apr.v11n1p65.

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Johannes Kepler and Isaac Newton inspired generations of researchers to study properties of elliptic, hyperbolic, and parabolic paths of planets orbiting around the Sun. After the intensive study of those conic sections during the last four hundred years it is believed that this topic is practically closed and the 21st Century cannot bring anything new to this subject. Can we add to those visible orbits from the Aristotelian World some curves from the Plato’s Realm that might bring to us new information about those conic sections? Isaac Newton in 1687 discovered one such curve - the evolute of the hyperbola - behind his famous gravitation law. In our model we have been working with Newton’s Hyperbola in a more complex way. We have found that the interplay of the empty focus M (= Menaechmus - the discoverer of hyperbola), the center of the hyperbola A (= Apollonius of Perga - the Great Geometer), and the occupied focus N (= Isaac Newton - the Great Mathematician) together form the MAN Hyperbola with several interesting hidden properties of those hyperbolic paths. We have found that the auxiliary circle of the MAN Hyperbola could be used as a new hodograph and we will get the tangent velocity of planets around the Sun and their moment of tangent momentum. We can use the lemniscate of Bernoulli as the pedal curve of that hyperbola and we will get the normal velocities of those orbiting planets and their moment of normal momentum. The first derivation of this moment of normal momentum will reveal the torque of that hyperbola and we can estimate the precession of hyperbolic paths and to test this model for the case of the flyby anomalies. The auxiliary circle might be used as the inversion curve of that hyperbola and the Lemniscate of Bernoulli could help us to describe the Kepler’s Equation (KE) for the hyperbolic paths. Have we found the Arriadne’s Thread leading out of the Labyrinth or are we still lost in the Labyrinth?

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Schochet, Steven. "Hyperbolic-hyperbolic singular limits." Communications in Partial Differential Equations 12, no. 6 (January 1987): 589–632. http://dx.doi.org/10.1080/03605308708820504.

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Lekner, John. "Comparison of hyperbolic and hyperboloid conductor electrostatics." European Journal of Physics 27, no. 1 (November 24, 2005): 87–94. http://dx.doi.org/10.1088/0143-0807/27/1/009.

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Li, Zeqing, Xiaowei Zhang, Haibin Li, Zepeng Wang, and Jian Wen. "Training data augmentations for improving hyperbola recognition in ground penetrating radar B-scan image for tree roots detection." BioResources 18, no. 1 (November 16, 2022): 484–504. http://dx.doi.org/10.15376/biores.18.1.484-504.

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Improving the detection accuracy of hyperbola in B-scan images has been a considerable challenge for ground penetrating radar (GPR) to detect tree roots. In this paper, a method for data enhancement and target detection, both based on deep learning was proposed to identify hyperbolas in GPR B-scan images. First, the authors used a cyclic consistent adversarial network (CycleGAN) to augment the original data. In this procedure, the hyperbolic features of the images were preserved and created a wider variety of training samples. Then, the authors could apply the enhanced dataset to the YOLOv5 detection model to evaluate the effectiveness of their method. Meanwhile, the detection effects of Yolov3, Yolov5, Faster R-CNN, and CenterNet detection models on the enhanced dataset were compared. The results showed that applying the enhanced dataset to the Yolov5 detection model exhibited better detection accuracy compared to other combinations of datasets and detection models. The authors demonstrate that the proposed method increases data diversity and the number of samples, improving the precision and recall of hyperbolic curves. These results provide a new method for tree root localization with important effects.

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Martínez, Inmaculada Penadés. "Las locuciones hiperbólicas." Yearbook of Phraseology 14, no. 1 (November 1, 2023): 121–46. http://dx.doi.org/10.1515/phras-2023-0006.

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Abstract In contrast to the case of metaphorical and metonymical idioms, there is no research specifically concerned with Spanish hyperbolic idioms. This article shows that it is possible to apply different definitions and characterizations of hyperbole to idioms that should be considered hyperbolic. The analysis is based on idiomaticity and is supported by the distinction between the literal and idiomatic meanings of these fixed expressions. In the conclusions, seven criteria are established to identify hyperbolic idioms, and the types are differentiated according to: 1) the conceptual mechanisms of metaphor and metonymy that explain their formation, 2) the form and meaning of their constituent parts, and 3) the semantic fields in which they are included. Finally, we point out the need to continue analyzing these types of idioms from both a theoretical and an applied perspective, in the latter case with a possible view to marking them as hyperbolic in dictionaries.

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Li, Nan, Maochen Ge, Enyuan Wang, and Shaohua Zhang. "The Influence Mechanism and Optimization of the Sensor Network on the MS/AE Source Location." Shock and Vibration 2020 (September 7, 2020): 1–16. http://dx.doi.org/10.1155/2020/2651214.

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The sensor network layout is a key factor affecting the accuracy and stability of the microseismic/acoustic source (MS/AE) location. Based on the arrival-time-difference principle, the hyperbolic/hyperboloidal governing equations for the source location are derived. The nonuniformity geometrical characteristics of hyperbolic/hyperboloidal field for the source location are obtained. The sensor network does not induce any location errors; it only affects the source location accuracy by amplifying the existing errors in the input data during the source location process. Also, this amplication effect of the input data errors is characterized by nonuniformity because of the nonuniformity of the hyperbolic/hyperboloidal field. Furthermore, two basic effects, the geometrical spreading and the directional control, of the sensor network are investigated, and the three-dimensional space quantitative models of these two effects are established, respectively. The influence of the wave velocity error and arrival time error on the source location accuracy is analytically compared, and the propagation characteristics of these two types of errors during the source location process are revealed. The concepts of critical arrival-time difference and critical hyperbola/hyperboloid are proposed. Based on these two concepts, the monitoring area can be divided into two regions where the source location accuracy is controlled by the velocity error and the arrival time error, respectively. The concept of direction angle of paired sensors is proposed, and the relationship between the source location and the layout of four typical paired sensors is studied. Finally, the principles of sensor network optimization are determined.

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Vlasova, Ekaterina Viktorovna. "Hyperbolization in modern English literary texts." Philology. Issues of Theory and Practice 16, no. 10 (October 4, 2023): 3372–78. http://dx.doi.org/10.30853/phil20230521.

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The aim of the paper is to identify in a systematized manner various means and ways of expressing hyperbolization in the speech of characters in modern English literary texts. The research is novel in that it is the first to systematize a variety of hyperbolic means in English-language fiction that allow achieving a certain emotional impact on the addressee. The paper analyzes the contexts of the use of exaggeration in the speech of 25 characters in the works of modern English writers: India Knight’s “Comfort and Joy” (2010), Sophie Kinsella’s “Finding Audrey” (2015) and “Love Your Life” (2020), and for the first time summarizes hyperbolic ways of expression in the maxims of modern English society. The study examines such hyperbolic means as hyperbole, hyperbolic metaphor, metonymy, irony, antihyperbole, meiosis and litotes. The results of the study showed that the hyperbolic ways contribute to the creation of a colorful image, comic effect, as well as an emotional and manipulative impact on the reader. The analyzed material revealed the existence of lexical, grammatical and stylistic ways of expressing hyperbolization, which are actively used in the speech of modern native speakers.

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Maldonado, Rafael. "Hyperbolic monopoles from hyperbolic vortices." Nonlinearity 30, no. 6 (May 11, 2017): 2443–65. http://dx.doi.org/10.1088/1361-6544/aa6d95.

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De Micheli, Enrico, Irene Scorza, and Giovanni Alberto Viano. "Hyperbolic geometrical optics: Hyperbolic glass." Journal of Mathematical Physics 47, no. 2 (February 2006): 023503. http://dx.doi.org/10.1063/1.2165796.

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Wang, Cheng, and Qi Zhang. "Prediction of Vertical Ultimate Bearing Capacity in Piles Based on the Improved Hyperbolic Model." Advanced Materials Research 250-253 (May 2011): 2271–75. http://dx.doi.org/10.4028/www.scientific.net/amr.250-253.2271.

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Vertical static load test is widely used in the determination of pile bearing capacity, the mathematical model used to fit test pile data in determining the bearing capacity is essential. From the perspective of analytic geometry, the paper analyzes the traditional method of hyperbola, of which the asymptotic line of equilateral hyperbola was used to determine the ultimate bearing capacity. By extending the equal-axed conditions, a more general form of hyperbolic equation is derived and feasibility of such method is also analyzed, which indicates that the maximum point of curvature in such hyperbolic curve can determine the ultimate bearing capacity and such method is proved to be reasonable in practical projects.

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Otsu, Hirotaka. "Aerodynamic Characteristics of Re-Entry Capsules with Hyperbolic Contours." Aerospace 8, no. 10 (October 3, 2021): 287. http://dx.doi.org/10.3390/aerospace8100287.

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For most re-entry capsules, the shape of the forebody of the capsule is designed based on the blunted nose cone. A similar shape can be created using a hyperboloid of revolution that can control the nose bluntness and the half angle of the cone easily. In this study, the hypersonic aerodynamic characteristics of re-entry capsules designed with hyperbolic contours were investigated using the CFD code, FaSTAR, developed by Japan Aerospace Exploration Agency (JAXA). The CFD results showed that, using the hyperbolic contours, the drag and lift coefficients can be increased compared to those for the Hayabusa re-entry capsule without changing the shape of the capsule drastically. This suggests that shape design based on the hyperbolic contours can improve the aerodynamic characteristics of re-entry capsules.

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Barnden, John A. "Metonymy, reflexive hyperbole and broadly reflexive relationships." Review of Cognitive Linguistics 20, no. 1 (May 24, 2022): 33–69. http://dx.doi.org/10.1075/rcl.00100.bar.

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Abstract I explore some relationships between metonymy and a special type of hyperbole that I call reflexive hyperbole. Reflexive hyperbole provides a unified, simple explanation of certain natural meanings of statements such as the following: Sailing is Mary’s life, The undersea sculptures became the ocean, When Sally watched the film she became James Bond, I am Charlie Hebdo, John is Hitler, The internet is cocaine and I am Amsterdam. The meanings, while of seemingly disparate types, are deeply united: they are all hyperbolic about some contextually salient relationship that has a special property that I call “broad reflexivity.” Although a few of the types of meaning of interest have metonymic aspects (or metaphorical aspects), reflexive hyperbole cannot just be explained by a straightforward application of metonymy theory (or metaphor theory). Indeed, I argue instead for a dependency in the converse direction: that much and perhaps even all metonymy is rooted – if sometimes slightly indirectly – in broadly reflexive relationships, though not usually in a hyperbolic way.

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Gholami, Ali, and Toktam Zand. "Three-parameter Radon transform based on shifted hyperbolas." GEOPHYSICS 83, no. 1 (January 1, 2018): V39—V48. http://dx.doi.org/10.1190/geo2017-0309.1.

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The focusing power of the conventional hyperbolic Radon transform decreases for long-offset seismic data due to the nonhyperbolic behavior of moveout curves at far offsets. Furthermore, conventional Radon transforms are ineffective for processing data sets containing events of different shapes. The shifted hyperbola is a flexible three-parameter (zero-offset traveltime, slowness, and focusing-depth) function, which is capable of generating linear and hyperbolic shapes and improves the accuracy of the seismic traveltime approximation at far offsets. Radon transform based on shifted hyperbolas thus improves the focus of seismic events in the transform domain. We have developed a new method for effective decomposition of seismic data by using such three-parameter Radon transform. A very fast algorithm is constructed for high-resolution calculations of the new Radon transform using the recently proposed generalized Fourier slice theorem (GFST). The GFST establishes an analytic expression between the [Formula: see text] coefficients of the data and the [Formula: see text] coefficients of its Radon transform, with which a very fast switching between the model and data spaces is possible by means of interpolation procedures and fast Fourier transforms. High performance of the new algorithm is demonstrated on synthetic and real data sets for trace interpolation and linear (ground roll) noise attenuation.

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Doyle, John R. "Survey of time preference, delay discounting models." Judgment and Decision Making 8, no. 2 (March 2013): 116–35. http://dx.doi.org/10.1017/s1930297500005052.

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AbstractThe paper surveys over twenty models of delay discounting (also known as temporal discounting, time preference, time discounting), that psychologists and economists have put forward to explain the way people actually trade off time and money. Using little more than the basic algebra of powers and logarithms, I show how the models are derived, what assumptions they are based upon, and how different models relate to each other. Rather than concentrate only on discount functions themselves, I show how discount functions may be manipulated to isolate rate parameters for each model. This approach, consistently applied, helps focus attention on the three main components in any discounting model: subjectively perceived money; subjectively perceived time; and how these elements are combined. We group models by the number of parameters that have to be estimated, which means our exposition follows a trajectory of increasing complexity to the models. However, as the story unfolds it becomes clear that most models fall into a smaller number of families. We also show how new models may be constructed by combining elements of different models.The surveyed models are: Exponential; Hyperbolic; Arithmetic; Hyperboloid (Green & Myerson, Rachlin); Loewenstein and Prelec Generalized Hyperboloid; quasi-Hyperbolic (also known as β-δ discounting); Benhabib et al’s fixed cost; Benhabib et al’s Exponential / Hyperbolic / quasi-Hyperbolic; Read’s discounting fractions; Roelofsma’s exponential time; Scholten and Read’s discounting-by-intervals (DBI); Ebert and Prelec’s constant sensitivity (CS); Bleichrodt et al.’s constant absolute decreasing impatience (CADI); Bleichrodt et al.’s constant relative decreasing impatience (CRDI); Green, Myerson, and Macaux’s hyperboloid over intervals models; Killeen’s additive utility; size-sensitive additive utility; Yi, Landes, and Bickel’s memory trace models; McClure et al.’s two exponentials; and Scholten and Read’s trade-off model.For a convenient overview, a single “cheat sheet” table captures the notation and essential mathematics behind all but one of the models.

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Yegin, R., and U. Dursun. "On Submanifolds of Pseudo-Hyperbolic Space with 1-Type Pseudo-Hyperbolic Gauss Map." Zurnal matematiceskoj fiziki, analiza, geometrii 12, no. 4 (December 25, 2016): 315–37. http://dx.doi.org/10.15407/mag12.04.315.

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Takagi, Junichi, Hirotaka Kanazawa, Kotaro Ichikawa, and Hiromichi Mitamura. "A simple intuitive method for seeking intersections of hyperbolas for acoustic positioning biotelemetry." PLOS ONE 17, no. 11 (November 9, 2022): e0276289. http://dx.doi.org/10.1371/journal.pone.0276289.

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We proposed a simple hyperbolic positioning method that does not require solving simultaneous quadratic equations. Moreover, we introduced the mathematical concept of a “pencil” into analytical calculations in the hyperbolic positioning method for a better understanding. In many recent studies using positioning biotelemetry, the specific procedure for intersection calculation of hyperbolas has rarely been described. This might be one of two major obstacles, with the other being clock synchronisation among receivers, for positioning biotelemetry users, including potential users. We focus only on the intersection calculation in this paper. Therefore, we propose a novel method and introduce the mathematical concept into analytical calculations. The computing performances of the novel method, an analytical method applying the concept of a pencil, and an approximating method using the Newton-Raphson method were compared regarding positioning correctness, accuracy, and calculation speed. In the novel method, hyperbolas were represented using the parameter θ, which was treated as a discrete variant. The finer the tick-width of the parameter θ, the more accurate was its positioning, but it took slightly longer to calculate. By setting the tick-width to 0.01°, a simulated trajectory was correctly and accurately localised, as in the analytical method which always correctly returned the accurate solution. The approximating method has a major limitation concerning correctness. It returns a single solution regardless of two intersections of hyperbolas; however, the positioning is accurate when the hyperbolas intersect at a single point. This study approached one major difficulty in positioning biotelemetry and will help biotelemetry users overcome this drawback with a simple and intuitive understanding of hyperbolic positioning.

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Tam, N. H., Đ. H. Trung, and N. T. Van. "Locate hyperbolas on Ground Penetrating Radar slices with auto filter selection algorithm." IOP Conference Series: Earth and Environmental Science 1349, no. 1 (May 1, 2024): 012002. http://dx.doi.org/10.1088/1755-1315/1349/1/012002.

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Abstract Ground Penetrating Radar (GPR) is a geophysical method of using high frequency electromagnetic waves to study shallow objects below the ground. In the GPR sections, the position of point anomalies is represented as reflected hyperbola. In some cases, the reflected hyperbolas on the GPR cross-section have a relatively large number and overlap which making the positioning very complicated and time-consuming. This article presents the development of an automatic selection algorithm with the aim of accurately determining the position of hyperbolas on GPR cross-sections. The automatic selection algorithm is a combination of an edge detection algorithm and the establishment of filtering conditions based on image and physical properties of geological objects. The algorithm is applied to determine the hyperbolic position of several GPR cross-sections at specific locations and provides relatively accurate results. This result will enhance the accuracy in problems related to drawing tree root maps, underground construction, landslide surveys, subsidence, and soil pollution research.

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Legkostup, V. V., and V. E. Markevich. "Method for determining of the distance to the object in the hyperbolic navigation system via doppler frequency offsets." «System analysis and applied information science», no. 4 (January 5, 2022): 40–46. http://dx.doi.org/10.21122/2309-4923-2021-4-40-46.

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In this paper, a method for estimating the distance to the object guided along a hyperbola to a target using a bistatic hyperbolic navigation system on a plane is given. At the same time, to solve the guidance problem, the number of required navigation positions is reduced by one in comparison with the classical method of hyperbolic navigation. However, in the guidance algorithms, it is still required to estimate the distance of the targeted object from the center of the base, the methods of obtaining which are considered in the work.

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Trad, Daniel. "Interpolation and multiple attenuation with migration operators." GEOPHYSICS 68, no. 6 (November 2003): 2043–54. http://dx.doi.org/10.1190/1.1635058.

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A hyperbolic Radon transform (RT) can be applied with success to attenuate or interpolate hyperbolic events in seismic data. However, this method fails when the hyperbolic events have apexes located at nonzero offset positions. A different RT operator is required for these cases, an operator that scans for hyperbolas with apexes centered at any offset. This procedure defines an extension of the standard hyperbolic RT with hyperbolic basis functions located at every point of the data gather. The mathematical description of such an operator is basically similar to a kinematic poststack time‐migration equation, with the horizontal coordinate being not midpoint but offset. In this paper, this transformation is implemented by using a least‐squares conjugate gradient algorithm with a sparseness constraint. Two different operators are considered, one in the time domain and the other in the frequency‐wavenumber domain (Stolt operator). The sparseness constraint in the time‐offset domain is essential for resampling and for interpolation. The frequency‐wavenumber domain operator is very efficient, not much more expensive in computation time than a sparse parabolic RT, and much faster than a standard hyperbolic RT. Examples of resampling, interpolation, and coherent noise attenuation using the frequency‐wavenumber domain operator are presented. Near and far offset gaps are interpolated in synthetic and real shot gathers, with simultaneous resampling beyond aliasing. Waveforms are well preserved in general except when there is little coherence in the data outside the gaps or events with very different velocities are located at the same time. Multiples of diffractions are predicted and attenuated by subtraction from the data.

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Gabai, David, G. Meyerhoff, and Nathaniel Thurston. "Homotopy hyperbolic 3-manifolds are hyperbolic." Annals of Mathematics 157, no. 2 (March 1, 2003): 335–431. http://dx.doi.org/10.4007/annals.2003.157.335.

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Dullin, H. R., and S. Vũ Ngọc. "Symplectic invariants near hyperbolic-hyperbolic points." Regular and Chaotic Dynamics 12, no. 6 (December 2007): 689–716. http://dx.doi.org/10.1134/s1560354707060111.

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Bonk, Mario, and Bruce Kleiner. "Quasi-hyperbolic planes in hyperbolic groups." Proceedings of the American Mathematical Society 133, no. 9 (April 12, 2005): 2491–94. http://dx.doi.org/10.1090/s0002-9939-05-07564-7.

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Lao, Lanjun, and Enzo Orsingher. "Hyperbolic and fractional hyperbolic Brownian motion." Stochastics 79, no. 6 (December 2007): 505–22. http://dx.doi.org/10.1080/17442500701433509.

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Kostov, Vladimir Petrov. "Very hyperbolic and stably hyperbolic polynomials." Comptes Rendus Mathematique 339, no. 3 (August 2004): 157–62. http://dx.doi.org/10.1016/j.crma.2004.05.010.

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ANAKHAEV, K. N., B. KH AMSHOKOV, and K. K. ANAKHAEV. "TO THE CALCULATION OF LENGTH OF GEOPHYSICAL OBJECTS OF HYPERBOLIC OUTLINE." Prirodoobustrojstvo, no. 4 (2021): 85–89. http://dx.doi.org/10.26897/1997-6011-2021-4-85-89.

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Hyperbolic curves are used in various theoretical and practical studies, including in the field of water management and environmental construction when calculating various geophysical objects with hyperbolic outlines (surfaces of coastal slopes, sliding lines of landslide massifs, directing dams, spillway surfaces of watersheds, water free fall trajectories, etc.). The exact determination of the length of the hyperbola arc is represented by a rather complex dependence based on “unbreakable” incomplete elliptic integrals, which makes it difficult to carry out analytical calculations and involves the use of tabular data with a time-consuming cross and non-linear interpolation of them, etc. Elementary dependencies are proposed to determine the length of the hyperbola arc, which give a very close approximation (up to 1%) to exact values. The obtained calculated analytical dependencies for determining the length of the hyperbola arc are recommended for practical use in theoretical and applied research in various fi elds of science and technology.

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Jamadandi, Adarsh, and Uma Mudenagudi. "Dethroning Aristocracy in Graphs via Adversarial Perturbations (Student Abstract)." Proceedings of the AAAI Conference on Artificial Intelligence 35, no. 18 (May 18, 2021): 15801–2. http://dx.doi.org/10.1609/aaai.v35i18.17897.

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Learning low-dimensional embeddings of graph data in curved Riemannian manifolds has gained traction due to their desirable property of acting as effective geometrical inductive biases. More specifically, models of Hyperbolic geometry such as Poincar\'{e} Ball and Lorentz/Hyperboloid Model have found applications for learning data with hierarchical anatomy. Gromov's hyperbolicity measures whether a graph can be isometrically embedded in hyperbolic space. This paper shows that adversarial attacks that perturb the network structure also affect the hyperbolicity of graphs rendering hyperbolic space less effective for learning low-dimensional node embeddings of the graph. To circumvent this problem, we introduce learning embeddings in pseudo-Riemannian manifolds such as Lorentzian manifolds and show empirically that they are robust to adversarial perturbations. Despite the recent proliferation of adversarial robustness methods in the graph data, this is the first work exploring the relationship between adversarial attacks and hyperbolicity while also providing resolution to navigate such vulnerabilities.

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UĞURLU, H., and H. GÜNDOĞAN. "The Cosine Hyperbolic and Sine Hyperbolic Rules for Dual Hyperbolic Spherical Trigonometry." Mathematical and Computational Applications 5, no. 3 (December 1, 2000): 185–90. http://dx.doi.org/10.3390/mca5020185.

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Harmelin, Reuven. "Hyperbolic metric, curvature of geodesics and hyperbolic discs in hyperbolic plane domains." Israel Journal of Mathematics 70, no. 1 (February 1990): 111–28. http://dx.doi.org/10.1007/bf02807223.

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Kostin, A. V., and I. Kh Sabitov. "Smarandache Theorem in Hyperbolic Geometry." Zurnal matematiceskoj fiziki, analiza, geometrii 10, no. 2 (June 25, 2014): 221–32. http://dx.doi.org/10.15407/mag10.02.221.

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Eskew, Russell Clark. "Altering the Principle of Relativity." Applied Physics Research 10, no. 3 (May 31, 2018): 21. http://dx.doi.org/10.5539/apr.v10n3p23.

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A unique hyperbolic geometry paradigm requires altering the Relativistic principle that absolute velocity is unmeasurable. There is no absolute velocity, but in the case where a constant velocity is made from a half-angle velocity, a variable velocity is the same as (absolute) acceleration. Relativity is based on local Lorentz geometry. Our mathematical geometry constructs circle and hyperbola vectors with hyperbolic terms in an original formulation of complex numbers. We use a point on a hyperbola as a frame of reference. A theory is given that time and our velocity are inversely related. The physical laws of motion by Galileo, Newton and Einstein are forged using the half-angle velocity to electromagnetic velocity. The field of kinetic, potential and gravitational force accelerations is established. An experiment exemplifies the math from the Earth’s frame of reference. We discover a possible dark energy and gravitational accelerations and a geometry of gravitational collapse.

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Journal articles on the topic 'Hyperbolic'

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