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Journal articles on the topic 'Singularity'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Konyaev, Yu A. "Singularly perturbed problems with double singularity." Mathematical Notes 62, no. 4 (1997): 414–19. http://dx.doi.org/10.1007/bf02358973.

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2

Engel, Maximilian, Felix Hummel, Christian Kuehn, Nikola Popović, Mariya Ptashnyk, and Thomas Zacharis. "Geometric analysis of fast-slow PDEs with fold singularities via Galerkin discretisation." Nonlinearity 37, no. 11 (2024): 115017. http://dx.doi.org/10.1088/1361-6544/ad7fc2.

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Abstract We study a singularly perturbed fast-slow system of two partial differential equations (PDEs) of reaction-diffusion type on a bounded domain via Galerkin discretisation. We assume that the reaction kinetics in the fast variable realise a generic fold singularity, whereas the slow variable takes the role of a dynamic bifurcation parameter, thus extending the classical analysis of the singularly perturbed fold. Our approach combines a spectral Galerkin discretisation with techniques from geometric singular perturbation theory which are applied to the resulting high-dimensional systems o

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3

Ubiquity staff. "Singularity." Ubiquity 2006, January (2006): 1. http://dx.doi.org/10.1145/1119621.1117663.

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4

Hunt, Galen C., and James R. Larus. "Singularity." ACM SIGOPS Operating Systems Review 41, no. 2 (2007): 37–49. http://dx.doi.org/10.1145/1243418.1243424.

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5

Sochat, Vanessa. "Singularity Compose: Orchestration for Singularity Instances." Journal of Open Source Software 4, no. 40 (2019): 1578. http://dx.doi.org/10.21105/joss.01578.

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6

Yan, G., and T. C. T. Ting. "The r−1/2 (ln r) Singularities at Interface Cracks in Monoclinic and Isotropic Bimaterials due to Heat Flow." Journal of Applied Mechanics 60, no. 2 (1993): 432–37. http://dx.doi.org/10.1115/1.2900811.

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It is known that the stress singularities at an interface crack tip of bimaterials with the effects of heat flow may have the form r−1/2 (ln r). The existence conditions of the higher order singularitiy r−1/2 (ln r) are studied for monoclinic bimaterials whose plane of symmetry is at x3 = 0. It is shown that the higher order singularity does not exist if the bimaterial is mismatched. If the bimaterial is non-mismatched, the higher order singularity does not exist when a certain condition is satisfied. This condition is given explicitly for monoclinic bimaterials with the plane of symmetry of x

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7

Bijura, Angelina M. "Error bound analysis and singularly perturbed Abel-Volterra equations." Journal of Applied Mathematics 2004, no. 6 (2004): 479–94. http://dx.doi.org/10.1155/s1110757x04305024.

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Asymptotic solutions of nonlinear singularly perturbed Volterra integral equations with kernels possessing integrable singularity are investigated using singular perturbation methods and the Mellin transform technique. In particular, it is demonstrated that the formal approximation is asymptotically valid.

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8

Bijura, Angelina M. "Asymptotics of integrodifferential models with integrable kernels." International Journal of Mathematics and Mathematical Sciences 2003, no. 25 (2003): 1577–98. http://dx.doi.org/10.1155/s0161171203209091.

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The additive decomposition singular perturbation method and the theory of fractional integration are used to study asymptotic solutions of singularly perturbed Volterra integrodifferential equations with kernels having integrable singularity. The validity of the approximation is also demonstrated.

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9

Malek, Stephane. "On Boundary Layer Expansions for a Singularly Perturbed Problem with Confluent Fuchsian Singularities." Mathematics 8, no. 2 (2020): 189. http://dx.doi.org/10.3390/math8020189.

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We consider a family of nonlinear singularly perturbed PDEs whose coefficients involve a logarithmic dependence in time with confluent Fuchsian singularities that unfold an irregular singularity at the origin and rely on a single perturbation parameter. We exhibit two distinguished finite sets of holomorphic solutions, so-called outer and inner solutions, by means of a Laplace transform with special kernel and Fourier integral. We analyze the asymptotic expansions of these solutions relatively to the perturbation parameter and show that they are (at most) of Gevrey order 1 for the first set of

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10

Granel, Gérard. "Untameable Singularity." Graduate Faculty Philosophy Journal 19, no. 2 (1997): 215–28. http://dx.doi.org/10.5840/gfpj199719/202/111.

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11

Sandu, Antonio. "About Singularity." Postmodern Openings VII, no. 2 (2016): 181–83. http://dx.doi.org/10.18662/po/2016.0702.12.

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12

Guenther, Lisa. "“Nameless Singularity”." Epoché 14, no. 1 (2009): 167–87. http://dx.doi.org/10.5840/epoche200914128.

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13

Spinrad, Norman. "Mr Singularity." Nature 543, no. 7646 (2017): 582. http://dx.doi.org/10.1038/543582a.

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14

Cass, Stephen. "The Singularity." IEEE Spectrum 49, no. 11 (2012): 26. http://dx.doi.org/10.1109/mspec.2012.6341195.

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15

Mitchell, William J. "Definable singularity." Transactions of the American Mathematical Society 327, no. 1 (1991): 407–26. http://dx.doi.org/10.1090/s0002-9947-1991-1036006-0.

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16

Abraham, D. B., and P. J. Upton. "Droplet singularity." Physical Review Letters 70, no. 11 (1993): 1567–71. http://dx.doi.org/10.1103/physrevlett.70.1567.

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17

Jackson, Shannon. "Resist Singularity." Theatre Survey 45, no. 2 (2004): 241–46. http://dx.doi.org/10.1017/s0040557404000201.

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That may sound like an evasion. If the question under discussion is asking for a single direction and a plan of action, a stand and a silver bullet, it partly is. To “resist singularity” has the ring of poststructuralist relativism, the now clichéd way by means of which many seem to have evaded action and avoided taking any kind of a stand.

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18

Edkins, Jenny. "Exposed Singularity." Journal for Cultural Research 9, no. 4 (2005): 359–86. http://dx.doi.org/10.1080/14797580500252548.

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19

He, Yijun, and William A. Barnett. "Singularity bifurcations." Journal of Macroeconomics 28, no. 1 (2006): 5–22. http://dx.doi.org/10.1016/j.jmacro.2005.10.001.

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20

Mortuza, Shamsad. "Nearing Singularity." Crossings: A Journal of English Studies 4 (August 1, 2014): 224–26. http://dx.doi.org/10.59817/cjes.v4i.254.

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Ray KurzweilThe Singularity is Near: When Humans Transcend BiologyNew York: Penguin, 2005, pp.652Price US$22 Optimism unsettles us. In the departments of English and Humanities, in liberal arts in general, we are trained to critique to prove ourselves human. Humanism, in its garbed guile, teaches us to point out what’s wrong with…

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21

Sochat, Vanessa. "Singularity Registry: Open Source Registry for Singularity Images." Journal of Open Source Software 2, no. 18 (2017): 426. http://dx.doi.org/10.21105/joss.00426.

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22

Hollier, G. P. "Papapetrou's naked singularity is a strong curvature singularity." Classical and Quantum Gravity 3, no. 6 (1986): L111—L114. http://dx.doi.org/10.1088/0264-9381/3/6/001.

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23

Zavizion, G. V. "Singularly perturbed system of differential equations with a rational singularity." Differential Equations 43, no. 7 (2007): 885–97. http://dx.doi.org/10.1134/s0012266107070014.

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24

Malek, Stéphane. "On Singularly Perturbed Partial Integro-Differential Equations with Irregular Singularity." Journal of Dynamical and Control Systems 13, no. 3 (2007): 419–49. http://dx.doi.org/10.1007/s10883-007-9018-4.

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25

Malek, S. "On singularly perturbed q-difference-differential equations with irregular singularity." Journal of Dynamical and Control Systems 17, no. 2 (2011): 243–71. http://dx.doi.org/10.1007/s10883-011-9118-z.

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26

Eliseev, Alexander Georgievich, and Pavel Vladimirovich Kirichenko. "A Regularized Asymptotic Solution of the Cauchy Problem for the Nonhomogeneous Schroedinger Equation in the Quasiclassical Approximation in the Presence of a "strong" Turning Point of the Limit Operator." Differential Equations and Control Processes, no. 1 (2023): 110–24. http://dx.doi.org/10.21638/11701/spbu35.2023.107.

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The article is devoted to the development of the regularization method by S.A. Lomov on singularly perturbed problems in the presence of spectral singularities of the limit operator. In particular, a regularized asymptotic solution is constructed for the singularly perturbed inhomogeneous Cauchy problem that arises in the quasiclassical approximation in the Schroedinger equation in the coordinate representation. The potential energy profile chosen in the paper leads to a singularity in the spectrum of the limit operator in the form of a <> turning point. Based on the ideas of asymptotic

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27

Hashemi, Mir, Dumitru Baleanu, and Hakimeh Barghi. "Singularly perturbed Burgers-Huxley equation by a Meshless method." Thermal Science 21, no. 6 Part B (2017): 2689–98. http://dx.doi.org/10.2298/tsci151224127h.

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A meshless method based upon radial basis function is utilized to approximate the singularly perturbed Burgers-Huxley equation with the viscosity coefficient ?. The proposed method shows that the obtained solutions are reliable and accurate. Convergence analysis of method was analyzed in a numerical way for different small values of singularity parameter.

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28

Domènech, Guillem, Atsushi Naruko, Misao Sasaki, and Christof Wetterich. "Could the black hole singularity be a field singularity?" International Journal of Modern Physics D 29, no. 03 (2020): 2050026. http://dx.doi.org/10.1142/s0218271820500261.

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In the wake of interest to find black hole solutions with scalar hair, we investigate the effects of disformal transformations on static spherically symmetric spacetimes with a nontrivial scalar field. In particular, we study solutions that have a singularity in a given frame, while the action is regular. We ask if there exists a different choice of field variables such that the geometry and the fields are regular. We find that in some cases disformal transformations can remove a singularity from the geometry or introduce a new horizon. This is possible since the Weyl tensor is not invariant u

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29

Chen, Xiang, Xin-Jun Liu, and Fugui Xie. "Screw Theory Based Singularity Analysis of Lower-Mobility Parallel Robots considering the Motion/Force Transmissibility and Constrainability." Mathematical Problems in Engineering 2015 (2015): 1–11. http://dx.doi.org/10.1155/2015/487956.

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Singularity is an inherent characteristic of parallel robots and is also a typical mathematical problem in engineering application. In general, to identify singularity configuration, the singular solution in mathematics should be derived. This work introduces an alternative approach to the singularity identification of lower-mobility parallel robots considering the motion/force transmissibility and constrainability. The theory of screws is used as the mathematic tool to define the transmission and constraint indices of parallel robots. The singularity is hereby classified into four types conce

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30

Sadiq, Sabir. "Singularity Sphere in The Heart of a Black Hole." Transactions on Engineering and Computing Sciences 12, no. 3 (2024): 46–63. https://doi.org/10.14738/tecs.123.16742.

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In the present work, radius, density of a black hole singularity and escape velocity of an object from an external surface of singularity sphere will be determined by using original mathematical equations to solve the mystery of a singularity. The singularity is white and smooth ball of steeply compressed particular type of matter and energy in the point same as the size of atom or subatomic particles. The Singularity is a big mystery and illusion in the history of Astronomy and black hole’s theory. Scientist believed that the singularity has zero radius and infinity density when mass divided

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31

Yudi Handayana, I. Gusti Ngurah, and Lily Maysari Angraini. "SINGULARITAS SEMU PADA RUANG-WAKTU REISSNER-NORDSTRÖM." ORBITA: Jurnal Kajian, Inovasi dan Aplikasi Pendidikan Fisika 5, no. 2 (2019): 82. http://dx.doi.org/10.31764/orbita.v5i2.1203.

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ABSTRAKPenelitian ini mengkaji singularitas semu pada metrik Reissner-Nordström, yang merupakan solusi persamaan medan Einstein untuk model partikel bermuatan. Kajian dilakukan dengan menganalisis titik-titik singular pada metrik, menghitung tensor kelengkungan Riemann, serta menghitung scalar Kretschmann pada titik-titik tersebut. Perhitungan dilakukan dengan bantuan program Maxima. Hasilnya, singularitas nyata hanya terjadi pada r = 0, sedangkan singularitas semu terjadi pada . Singularitas semu tersebut merupakan representasi dari horizon peristiwa. Terdapat tiga kemungkinan situasi pada ho

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32

KANG, Gungwon. "Penrose’s Singularity Theorem." Physics and High Technology 29, no. 12 (2020): 3–9. http://dx.doi.org/10.3938/phit.29.043.

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33

Adams, Tracy. "The Gallic Singularity." French Politics, Culture & Society 38, no. 1 (2020): 21–43. http://dx.doi.org/10.3167/fpcs.2020.380102.

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The popular narrative that the French relationship between the sexes is more emotionally rewarding than its American counterpart has entered into scholarly discourse over the past decades. Promoted by several well-known French feminist scholars, the narrative locates the particularity of the French relationship in its paradoxical structure: women are both equal and not equal to men. Sexual difference lies in the particular, which is subordinate to the universal value of equality. The narrative was most recently revived in the anti-#MeToo manifesto published in Le Monde in January 2018. This ar

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34

Adamo, Christopher. "Truth and Singularity." Graduate Faculty Philosophy Journal 22, no. 2 (2001): 213–16. http://dx.doi.org/10.5840/gfpj200122230.

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35

Lee,, Richard A. "Tragedy and Singularity." Graduate Faculty Philosophy Journal 29, no. 2 (2008): 129–43. http://dx.doi.org/10.5840/gfpj200829221.

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36

Vedral, Vlatko. "Into the singularity." New Scientist 255, no. 3401 (2022): 46–49. http://dx.doi.org/10.1016/s0262-4079(22)01543-3.

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37

Kind, Amy. "First person singularity." Philosophers' Magazine, no. 66 (2014): 117–18. http://dx.doi.org/10.5840/tpm20146696.

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38

Vandevelde, Pol. "Ereignis as Singularity." Heidegger Circle Proceedings 48 (2014): 75–85. http://dx.doi.org/10.5840/heideggercircle2014487.

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The notion of event (Ereignis) that Heidegger introduces in the 1930s names a singularity as something that happens (geschehen), but cannot be repeated and cannot thus fall under a concept. The same holds for the notion of “other beginning,” which thus cannot be in continuity with the first beginning. I show that Heidegger uses two different descriptions of such an event: a messianic or diachronic one—something will happen, we are in transition toward it—and a synchronic one: the event permeates our ways of thinking now. I show that Michel Foucault’s understanding of “the event in thought” (l’

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39

Wakeman, Gregory. "A sexy singularity." New Scientist 253, no. 3376 (2022): 35. http://dx.doi.org/10.1016/s0262-4079(22)00384-0.

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40

Grohmann, Till, and Stefan Kristensen. "Self and singularity." Metodo. International Studies in Phenomenology and Philosophy 7, no. 1 (2019): 7–11. http://dx.doi.org/10.19079/metodo.7.1.7.

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41

Freund, I., A. I. Mokhun, M. S. Soskin, O. V. Angelsky, and I. I. Mokhun. "Stokes singularity relations." Optics Letters 27, no. 7 (2002): 545. http://dx.doi.org/10.1364/ol.27.000545.

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42

Cheng, Xiaojun, Yitzchak Lockerman, and Azriel Z. Genack. "Phase singularity diffusion." Optics Letters 39, no. 11 (2014): 3348. http://dx.doi.org/10.1364/ol.39.003348.

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43

Crick, Nathan. "The Rhetorical Singularity." Rhetoric Review 28, no. 4 (2009): 370–87. http://dx.doi.org/10.1080/07350190903185023.

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44

Schnittman, Jeremy. "Approaching the singularity." Science 362, no. 6416 (2018): 756. http://dx.doi.org/10.1126/science.aav2003.

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45

Wall, C. T. C. "Flat singularity theory." Journal of the London Mathematical Society 87, no. 2 (2013): 622–40. http://dx.doi.org/10.1112/jlms/jds059.

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46

Constantin, P. "The elusive singularity." Proceedings of the National Academy of Sciences 94, no. 24 (1997): 12761. http://dx.doi.org/10.1073/pnas.94.24.12761.

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47

Heintz, Maggy. "The Singularity University." Materials Today 12, no. 5 (2009): 1. http://dx.doi.org/10.1016/s1369-7021(09)70147-6.

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48

Larus, James, and Galen Hunt. "The Singularity system." Communications of the ACM 53, no. 8 (2010): 72–79. http://dx.doi.org/10.1145/1787234.1787253.

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49

POLLICOTT, M., and P. VYTNOVA. "Estimating singularity dimension." Mathematical Proceedings of the Cambridge Philosophical Society 158, no. 2 (2014): 223–38. http://dx.doi.org/10.1017/s030500411400053x.

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AbstractIn this paper we address an interesting question on the computation of the dimension of self-affine sets in Euclidean space. A well-known result of Falconer showed that under mild assumptions the Hausdorff dimension of typical self-affine sets is equal to its Singularity dimension. Heuter and Lalley subsequently presented a smaller open family of non-trivial examples for which there is an equality of these two dimensions. In this article we analyse the size of this family and present an efficient algorithm for estimating the dimension.

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50

Gibbons, Gary. "The cosmological singularity." Contemporary Physics 59, no. 4 (2018): 400–401. http://dx.doi.org/10.1080/00107514.2018.1501428.

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