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Journal articles on the topic 'Imaginary powers'

Author: Grafiati

Published: 9 March 2023

Last updated: 10 March 2023

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1

Sikora, Adam, and James Wright. "Imaginary powers of Laplace operators." Proceedings of the American Mathematical Society 129, no. 6 (October 31, 2000): 1745–54. http://dx.doi.org/10.1090/s0002-9939-00-05754-3.

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2

Gomilko, A. M. "Purely imaginary fractional powers of operators." Functional Analysis and Its Applications 25, no. 2 (1991): 148–50. http://dx.doi.org/10.1007/bf01079601.

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3

Baillon, J. B., and Ph Clement. "Examples of unbounded imaginary powers of operators." Journal of Functional Analysis 100, no. 2 (September 1991): 419–34. http://dx.doi.org/10.1016/0022-1236(91)90119-p.

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4

Heim, Bernhard, Markus Neuhauser, and Florian Rupp. "Imaginary Powers of the Dedekind Eta Function." Experimental Mathematics 29, no. 3 (June 4, 2018): 317–25. http://dx.doi.org/10.1080/10586458.2018.1468288.

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5

Hong, Sunggeum. "Commutators of imaginary powers of Laplace operators." Mathematical Inequalities & Applications, no. 1 (2005): 101–9. http://dx.doi.org/10.7153/mia-08-10.

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6

Wróbel, B. "Imaginary powers of a Laguerre differential operator." Acta Mathematica Hungarica 124, no. 4 (September 2009): 333–51. http://dx.doi.org/10.1007/s10474-009-8203-1.

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7

Monniaux, Sylvie. "A perturbation result for bounded imaginary powers." Archiv der Mathematik 68, no. 5 (October 1997): 407–17. http://dx.doi.org/10.1007/s000130050073.

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8

Okazawa, Noboru. "Logarithms and imaginary powers of closed linear operators." Integral Equations and Operator Theory 38, no. 4 (December 2000): 458–500. http://dx.doi.org/10.1007/bf01228608.

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9

TSUKAKOSHI, Nami. "Adults' Belief in Imaginary Characters or Magical Powers." Proceedings of the Annual Convention of the Japanese Psychological Association 75 (September 15, 2011): 2PM108. http://dx.doi.org/10.4992/pacjpa.75.0_2pm108.

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10

E, Dragomir. "Compensation of three- phase unsymmetrical currents systems with symmetric al voltage (direct)." Scientific Bulletin of Naval Academy XIX, no. 1 (July 15, 2018): 283–91. http://dx.doi.org/10.21279/1454-864x-18-i1-043.

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The power analysis of the entire three-phase electrical system provides brief indications due to the compensation between the phases of the system of active and reactive powers. Only analysis of the electrical phases characteristics (currents, voltages, powers) of the three-phase system has theoretical and practical particular importance for balancing systems as well as analyzing the currents and powers that load the phases of the system. Akagi's "imaginary reactive power" method offers low efficiency and is polluting, introducing three order parasitic harmonics (compensating currents containing only half of the currents to be compensated) for three-phase unsymmetrical systems.

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11

Gunawan, Hendra. "Some weighted estimates for imaginary powers of Laplace operators." Bulletin of the Australian Mathematical Society 65, no. 1 (February 2002): 129–35. http://dx.doi.org/10.1017/s0004972700020141.

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We study the boundedness of singular integral operators that are imaginary powers of the Laplace operator in Rn, especially from weighted Hardy spaces to weighted Lebesgue spaces where 0 < p ≤ 1. In particular, we prove some estimates for these operators when 0 < p ≤ 1 and w is in the Muckenhoupt's class Aq, for some q > 1.

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12

Prüss, Jan, and Hermann Sohr. "On operators with bounded imaginary powers in banach spaces." Mathematische Zeitschrift 203, no. 1 (January 1990): 429–52. http://dx.doi.org/10.1007/bf02570748.

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13

Dummit, D. S. "The Parity Distribution of Traces in Imaginary Quadratic Fields." Canadian Mathematical Bulletin 34, no. 2 (June 1, 1991): 196–201. http://dx.doi.org/10.4153/cmb-1991-031-2.

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AbstractComputations of the Iwasawa λ -invariant for imaginary quadratic fields showed a discrepancy in the proportion of even and odd traces of certain integers from these imaginary quadratic fields. This paper shows that such a discrepancy is in some sense to be expected and that the proportion of even and odd traces of principal generators of powers of prime ideals in imaginary quadratic fields is related to the 3-primary component of the class group.

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14

Simard, Arnaud. "Counterexamples concerning powers of sectorial operators on a Hilbert space." Bulletin of the Australian Mathematical Society 60, no. 3 (December 1999): 459–68. http://dx.doi.org/10.1017/s0004972700036613.

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We give explicit constructions of semigroups and operators with particular properties. First we build a bounded C0-semigroup which is invertible and which is not similar to a semigroup of contractions. Afterwards we exhibit operators which admit bounded imaginary powers of angle ω > 0 on a Hilbert space but which do not admit a bounded functional calculus on the sector of angle ω. (This gives the limit of McIntosh's fundamental result.) Finally we build, in the 2-dimensional Hilbert space, an operator which is not the negative generator of a semigroup of contractions, although its imaginary powers are bounded by eπ|s|/2.

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15

Zhang, Jianlin. "Two-Weight Norm Inequality for Imaginary Powers of a Laplace Operator." Journal of Systems Science and Complexity 19, no. 3 (September 2006): 403–8. http://dx.doi.org/10.1007/s11424-006-0403-y.

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16

Boyadzhiev, K., and R. deLaubenfels. "Semigroups and resolvents of bounded variation, imaginary powers andH ∞ functional calculus." Semigroup Forum 45, no. 1 (December 1992): 372–84. http://dx.doi.org/10.1007/bf03025777.

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17

Yagi, Atsushi. "Applications of the purely imaginary powers of operators in Hilbert spaces." Journal of Functional Analysis 73, no. 1 (July 1987): 216–31. http://dx.doi.org/10.1016/0022-1236(87)90066-8.

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18

Gonzalez, Francisco. "Wax Tablets, Aviaries, or Imaginary Pregnancies ? On the Powers in Theaetetus." Études platoniciennes, no. 4 (October 1, 2007): 273–93. http://dx.doi.org/10.4000/etudesplatoniciennes.917.

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19

Stempak, Krzysztof, and José Luis Torrea. "Higher Riesz transforms and imaginary powers associated to the harmonic oscillator." Acta Mathematica Hungarica 111, no. 1-2 (April 2006): 43–64. http://dx.doi.org/10.1007/s10474-006-0033-9.

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20

Coriasco, S., E. Schrohe, and J. Seiler. "Bounded imaginary powers of differential operators on manifolds with conical singularities." Mathematische Zeitschrift 244, no. 2 (June 2003): 235–69. http://dx.doi.org/10.1007/s00209-003-0495-1.

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21

Prozorova, Yulia. "Religio-Political Nexus and Political Imaginary in Russia." Social Imaginaries 5, no. 2 (2019): 105–39. http://dx.doi.org/10.5840/si20195216.

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The essay contributes to the discussion of the religio-political nexus by examining the interplay between the religious and the political and the dynamics of political imaginary evoked by the Christianization and reception of Christian political theology in Russia. After a cursory overview of theoretical foundations underpinning the religio-political problematic, the essay introduces political theology as a constitutive element of the religio-political nexus and its most emphatic forms of theocracy and sacral rulership. Political theology sheds light on the gravitation between the religious and the political and the meta-institutional potential of the religio-political nexus. The essay focuses on the creative appropriation of religious themes by political imaginary contributing to the institution of autocracy in Russia. Christian monotheism and religious worldviews along with Byzantine political theology introduced theocratic vision and comprised the conceptual-symbolic framework within which autocratic configuration of power was articulated and legitimized. The increasing dependence of the church on the secular authority and reinterpretation of the doctrine of symphonia resulted into the caesaropapism associated with absolute autocracy. ‘Monistic unity’, unification of all powers subjugated and embodied by a sacralised autocratic ruler evolved in Russia as a paradigmatic pattern with long-lasting effects.

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22

Fang, Karen. "Rethinking the Orwellian Imaginary through Contemporary Chinese Fiction." Surveillance & Society 17, no. 5 (December 10, 2019): 738–42. http://dx.doi.org/10.24908/ss.v17i5.13458.

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Although George Orwell’s Nineteen Eighty-Four ([1949] 2003) and Aldous Huxley’s Brave New World ([1932] 2006) have long offered contrasting paradigms in surveillance theory, little attention has been paid to how race and cultural difference operate in their respective regimes. This oversight is surprising given race’s centrality in surveillance theory and practice, and it is increasingly anachronistic in light of contemporary geopolitics and the rising power of non-Western states. By contrast, the best-selling and critically acclaimed novels The Fat Years (Koonchung 2013), The Three-Body Problem (Liu 20014), and Death of a Red Heroine (Xiaolong 2000) are all set in modern China and portray issues of surveillance technology, policy, implementation, and resistance previously associated with Western powers. Yet while these later novels’ Chinese settings offer radically different scenarios than our previous touchstones of surveillance imagery, their global popularity also demonstrates their vast resonance and accessibility. Indeed, in strong reaffirmation of Orwell’s and Huxley’s ongoing value—and the value of literature to surveillance theory more generally—these recent China-set novels collapse the Orwell and Huxley dichotomy to offer surprising glimpses into the more culturally diversified twenty-first century global surveillance society.

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23

Marquis, Timothée. "Abstract simplicity of locally compact Kac–Moody groups." Compositio Mathematica 150, no. 4 (March 10, 2014): 713–28. http://dx.doi.org/10.1112/s0010437x13007598.

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AbstractIn this paper, we establish that complete Kac–Moody groups over finite fields are abstractly simple. The proof makes essential use of Mathieu and Rousseau’s construction of complete Kac–Moody groups over fields. This construction has the advantage that both real and imaginary root spaces of the Lie algebra lift to root subgroups over arbitrary fields. A key point in our proof is the fact, of independent interest, that both real and imaginary root subgroups are contracted by conjugation of positive powers of suitable Weyl group elements.

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24

Betancor, Jorge J., Raquel Crescimbeni, Juan C. Fariña, and Lourdes Rodríguez-Mesa. "Multipliers and imaginary powers of the Schrödinger operators characterizing UMD Banach spaces." Annales Academiae Scientiarum Fennicae Mathematica 38 (February 2013): 209–27. http://dx.doi.org/10.5186/aasfm.2013.3813.

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25

Abels, Helmut. "Boundedness of imaginary powers of the stokes operator in an infinite layer." Journal of Evolution Equations 2, no. 4 (November 2002): 439–57. http://dx.doi.org/10.1007/pl00012599.

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26

Amri, Béchir, and Hassen Tayari. "The L p - continuity of imaginary powers of the Dunkl harmonic oscillator." Indian Journal of Pure and Applied Mathematics 46, no. 2 (April 2015): 239–49. http://dx.doi.org/10.1007/s13226-015-0128-5.

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27

Hieber, Matthias. "Examples of pseudo-differential operators inL p spaces with unbounded imaginary powers." Archiv der Mathematik 66, no. 2 (February 1996): 126–31. http://dx.doi.org/10.1007/bf01273343.

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28

Gunnarsdóttir, Kristrún, and Kjetil Rommetveit. "The biometric imaginary: (Dis)trust in a policy vacuum." Public Understanding of Science 26, no. 2 (February 2017): 195–211. http://dx.doi.org/10.1177/0963662516688128.

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The decision in Europe to implement biometric passports, visas and residence permits was made at the highest levels without much consultation, checks and balances. Council regulation came into force relatively unnoticed in January 2005, as part of wider securitization policies urging systems interoperability and data sharing across borders. This article examines the biometric imaginary that characterizes this European Union decision, dictated by executive powers in the policy vacuum after 9/11 – a depiction of mobility governance, technological necessity and whom/what to trust or distrust, calling upon phantom publics to justify decisions rather than test their grounding. We consult an online blog we operated in 2010 to unravel this imaginary years on. Drawing on Dewey’s problem of the public, we discuss this temporary opening of a public space in which the imaginary could be reframed and contested, and how such activities may shape, if at all, relations between politics, publics, policy intervention and societal development.

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29

Mauceri, Giancarlo, Stefano Meda, and Maria Vallarino. "Sharp endpoint results for imaginary powers and Riesz transforms on certain noncompact manifolds." Studia Mathematica 224, no. 2 (2014): 153–68. http://dx.doi.org/10.4064/sm224-2-4.

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30

Prüss, Jan, and Hermann Sohr. "Imaginary powers of elliptic second order differential operators in $L\sp p$-spaces." Hiroshima Mathematical Journal 23, no. 1 (1993): 161–92. http://dx.doi.org/10.32917/hmj/1206128381.

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31

Fiorenza, A., A. Gogatishvili, and T. Kopaliani. "Estimates for imaginary powers of Laplace operator in variable Lebesgue spaces and applications." Journal of Contemporary Mathematical Analysis 49, no. 5 (September 2014): 232–40. http://dx.doi.org/10.3103/s1068362314050045.

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32

Betancor, Jorge J., Alejandro J. Castro, Jezabel Curbelo, and Lourdes Rodríguez-Mesa. "Characterization of UMD Banach Spaces by Imaginary Powers of Hermite and Laguerre Operators." Complex Analysis and Operator Theory 7, no. 4 (November 18, 2011): 1019–48. http://dx.doi.org/10.1007/s11785-011-0203-9.

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33

Karakaya, Suat, Gurkan Kucukyildiz, and Hasan Ocak. "Classification of motor imaginary in EEG using random." Global Journal of Computer Sciences: Theory and Research 7, no. 3 (December 11, 2017): 129–35. http://dx.doi.org/10.18844/gjcs.v7i3.2792.

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Abstract Although the motor-imagery-based brain computer interface (BCI) has become popular in recent years, its practical application is limited due to the classification accuracy of methods. In this study, a new classification scheme is proposed for the classification of multi-class motor imaginary in EEG using random forest (RF) classifier. In the proposed scheme, a four-stage binary classification tree is constructed. An RF model is trained for each stage of decision tree using features extracted from the EEG channels. The EEG band powers of each channel are the extracted features from the EEG signal. The proposed classification scheme is applied on the BCI competition IV dataset 2a recordings. The EEG data is acquired from nine subjects and the proposed scheme is performed for each subject independently. The kappa values of the proposed scheme are calculated to compare the results with the methods in the literature. It is demonstrated that the proposed classification scheme has higher kappa values than the methods in the literature. Keywords: Brain computer interface, motor imaginary, random forest.

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34

Pereira, Margaret, John Scott, and Amanda Beem. "Imaginary Drug Control and the Failures of Contemporary Australian Drug Policy." Contemporary Drug Problems 47, no. 1 (March 2020): 29–42. http://dx.doi.org/10.1177/0091450920905372.

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Contemporary Australian drug policy is characterized by a tension between punitive law and order responses that invoke the myth of sovereign power and responsibilizing strategies that “(re)moralize” individuals, holding them responsible for their safety, security, and well-being. This article argues that this blending of neoliberal techniques of governance, such as harm minimization, with neoconservative methods of rule typified in prohibitionist policies, presents a paradoxical policy response to illicit drug use. We explore the development and contemporary practice of a dualistic Australian drug policy that, on the one hand, promotes pragmatic interventions based on harm reduction while, on the other, relies on law and order strategies and traditional penal powers to deter illicit drug use. Drawing on Pat Carlen’s concept of imaginary penalities, we argue that this imaginary form of drug control is underpinned largely by symbolic measures that, in attempting to address public demands for safety and security, reproduce a punitive form of governance that fails to achieve its desired outcomes. Using qualitative interview data from a sample of 29 people who used drugs, and 15 professionals working in the drugs field, this article investigates responses to the contemporary governance of illicit drugs in Queensland. Based on the research findings, we argue that the conjoined nature of Australian drugs governance can be understood as imaginary drug control because it constantly recreates the conditions that perpetuate drug-related harm.

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35

BUNDSCHUH, PETER, and KEIJO VÄÄNÄNEN. "ARITHMETICAL RESULTS ON CERTAIN q-SERIES, II." International Journal of Number Theory 05, no. 07 (November 2009): 1231–45. http://dx.doi.org/10.1142/s1793042109002663.

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As in Part I, entire transcendental solutions of certain mth order linear q-difference equations are investigated arithmetically, where now the polynomial coefficients are much more general. The purpose of this paper is to produce again lower bounds for the dimension of the K-vector space generated by 1 and the values of these solutions at m successive powers of q, where K is the rational or an imaginary quadratic field. A new feature in the proof is to use simultaneously positive and negative powers of q as interpolation points leading to an extra parameter in the main result extending its applicability.

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36

MARZBAN, CAREN, and R. RAJU VISWANATHAN. "MATRIX MODELS WITH NONEVEN POTENTIALS." International Journal of Modern Physics A 06, no. 14 (June 10, 1991): 2559–68. http://dx.doi.org/10.1142/s0217751x91001222.

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We study examples of Hermitian one-matrix models with even and odd terms present in the potential. A definition of criticality is presented which in these cases leads to multicritical models falling into the same universality classes as those of the purely even potentials. We also show that (in our examples) for polynomial potentials ending in odd powers (unbounded), the coupling constants, in addition to their expected real critical values, also admit critical values which alternate between imaginary/real values in the odd/even terms. We find that, remarkably, the ensuing statistical models are insensitive to the real/imaginary nature of these critical values. This feature may be of relevance in the recently studied connection between matrix models and the moduli space of Riemann surfaces.

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37

Sempère, Emmanuelle. "Le « charme de la voix » : topiques du son enchanteur et réflexions musicales au XVIIIe siècle." Topiques, études satoriennes 6 (February 15, 2023): 1–17. http://dx.doi.org/10.7202/1096708ar.

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The formula of the "Charm of the voice", which is the title of a play by Thomas Corneille from 1657, constitutes the topical matrix of a vast corpus of works which, throughout the classical age, have questioned the powers of the voice. The article identifies two sets of topoi: in the tale of "Beauty and the Beast" and its rewrites between the 1740s and the 1770s, the "charm of the voice" is essentially considered from the point of view of gentleness and civilizational process, while in Cazotte's short story, Le Diable amoureux (1772-1776), it appears as a destabilizing power in relation to the witch's imaginary.

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38

Marias, Michel, and Emmanuel Russ. "H1-boundedness of Riesz transforms and imaginary powers of the Laplacian on Riemannian manifolds." Arkiv för Matematik 41, no. 1 (April 2003): 115–32. http://dx.doi.org/10.1007/bf02384571.

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39

Jackson, Damian C. "TIME AVERAGES FOR THE LAPLACE GROUP." Proceedings of the Edinburgh Mathematical Society 48, no. 1 (February 2005): 143–49. http://dx.doi.org/10.1017/s0013091503000075.

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AbstractThe imaginary powers of the Laplace operator over the circle give a $C_0$ group of bounded linear operators on $\mathsf{L}_{\theta}^p(0,2\pi)$ ($1\ltp\lt\infty$). Whereas the group is unbounded on $\mathsf{L}^4$, this paper shows that the $\mathsf{L}^4$ long-time averages of each $f$ in $\mathsf{L}^2$ are bounded. This is a Fourier restriction phenomenon.AMS 2000 Mathematics subject classification: Primary 42A15; 42B15

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40

Łukaszyk, Szymon. "Novel Recurrence Relations for Volumes and Surfaces of n-Balls, Regular n-Simplices, and n-Orthoplices in Real Dimensions." Mathematics 10, no. 13 (June 24, 2022): 2212. http://dx.doi.org/10.3390/math10132212.

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This study examines n-balls, n-simplices, and n-orthoplices in real dimensions using novel recurrence relations that remove the indefiniteness present in known formulas. They show that in the negative, integer dimensions, the volumes of n-balls are zero if n is even, positive if n = −4k − 1, and negative if n = −4k − 3, for natural k. The volumes and surfaces of n-cubes inscribed in n-balls in negative dimensions are complex, wherein for negative, integer dimensions they are associated with integral powers of the imaginary unit. The relations are continuous for n ∈ ℝ and show that the constant of π is absent for 0 ≤ n < 2. For n < −1, self-dual n-simplices are undefined in the negative, integer dimensions, and their volumes and surfaces are imaginary in the negative, fractional ones and divergent with decreasing n. In the negative, integer dimensions, n-orthoplices reduce to the empty set, and their real volumes and imaginary surfaces are divergent in negative, fractional ones with decreasing n. Out of three regular, convex polytopes present in all natural dimensions, only n-orthoplices and n-cubes (and n-balls) are defined in the negative, integer dimensions.

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41

Abels, Helmut. "Bounded imaginary powers and H∞-calculus of the Stokes operator in two-dimensional exterior domains." Mathematische Zeitschrift 251, no. 3 (July 13, 2005): 589–605. http://dx.doi.org/10.1007/s00209-005-0824-7.

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42

Eaves, Emery R. "As Paredes Falam (The Walls Speak): The Complicated Position of Graffiti and Wall Art in Coimbra, Portugal." Practicing Anthropology 44, no. 4 (September 1, 2022): 43–48. http://dx.doi.org/10.17730/0888-4552.44.4.43.

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Abstract In this paper, in honor of Leila Monaghan’s contributions to decolonizing and privileging varied forms of communication, I consider the complex position of graffiti and wall art in contemporary Coimbra, Portugal. Through exploration of three questions that emerged during my three months of ethnographic research on the decriminalization of drug use in Portugal, I consider how this form of artistic expression fits into the broader imaginary of a country that has been, in its turn, one of the great colonial powers, a highly restrictive dictatorial regime, and finally, one of the most economically depressed countries in Western Europe. In Portugal, I consider graffiti, as a form of art and communication and question how it fits into a complex process of de-colonizing and exploring power among diverse youth, even within a former colonial center of power.

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43

Betancor, Jorge J., and Lourdes Rodríguez-Mesa. "Higher-Order Riesz Transforms in the Inverse Gaussian Setting and UMD Banach Spaces." Journal of Function Spaces 2021 (November 10, 2021): 1–28. http://dx.doi.org/10.1155/2021/6899603.

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In this paper, we study higher-order Riesz transforms associated with the inverse Gaussian measure given by π n / 2 e x 2 d x on ℝ n . We establish L p ℝ n , e x 2 d x -boundedness properties and obtain representations as principal values singular integrals for the higher-order Riesz transforms. New characterizations of the Banach spaces having the UMD property by means of the Riesz transforms and imaginary powers of the operator involved in the inverse Gaussian setting are given.

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44

Sohr, Hermann, and Gudrun Thäter. "Imaginary powers of second order differential operators and $L^q$ -Helmholtz decomposition in the infinite cylinder." Mathematische Annalen 311, no. 3 (July 1, 1998): 577–602. http://dx.doi.org/10.1007/s002080050201.

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45

Shaw, Julia J. A. "Fromhomo economicustohomo roboticus: an exploration of the transformative impact of the technological imaginary." International Journal of Law in Context 11, no. 3 (August 6, 2015): 245–64. http://dx.doi.org/10.1017/s1744552315000130.

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AbstractThe largely unfettered realm of hardware and software code offers limitless possibilities in expanding the use and influence of information and communication technologies. As transcendent technologies they are unrestrained by the divergent equivalence of human categories of difference such as gender, race and class, or conceptual binary oppositions such as good/evil, happy/sad, freedom/oppression. Whilst a material grounding in earlier forms of embodied social experience remains an essential precondition of interaction with virtual systems, it is suggested that the virtual world is in the process of transforming the real world or, at least, subordinating it as slave to the machine world. This shift has fostered an imbalance of power between human and the posthuman, and consequently the epoch of the machine is often alleged to be both modern miracle and monster. Just as at a human level, rational thought processes restrain ideas which are unruly and require control, ICT advancements have proliferated to the point where these technologies also need to be classified, constrained where necessary, and diluted into the real world in real time. In this current climate of endless technological transformation, along with the growth of mass surveillance technologies together with the expansion of regulatory state powers, it is clear that any further innovations cannot be left to market forces without first considering the groundwork for the development of an appropriate monitoring mechanism. Before an appropriate set of regulatory mechanisms can be explicated, it is first necessary to consider the nature of the evolving transgressive human–machine relationship and the possible implications for humanity in the modern hypermediated world.

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46

Schrohe, E., and J. Seiler. "The Resolvent of Closed Extensions of Cone Differential Operators." Canadian Journal of Mathematics 57, no. 4 (August 1, 2005): 771–811. http://dx.doi.org/10.4153/cjm-2005-031-1.

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AbstractWe study closed extensions of an elliptic differential operator A on amanifold with conical singularities, acting as an unbounded operator on a weighted Lp-space. Under suitable conditions we show that the resolvent exists in a sector of the complex plane and decays like as Moreover, we determine the structure of the resolvent with enough precision to guarantee existence and boundedness of imaginary powers of .As an application we treat the Laplace–Beltrami operator for a metric with straight conical degeneracy and describe domains yielding maximal regularity for the Cauchy problem , u(0) = 0.

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47

BUNDSCHUH, PETER. "ARITHMETICAL RESULTS ON CERTAIN q-SERIES, I." International Journal of Number Theory 04, no. 01 (February 2008): 25–43. http://dx.doi.org/10.1142/s1793042108001201.

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Entire transcendental solutions of certain mth order linear q-difference equations with polynomial coefficients are considered. The aim of this paper is to give, under appropriate arithmetical conditions, lower bounds for the dimension of the K-vector space generated by 1 and the values of these solutions at m successive powers of q, where K is the rational or an imaginary quadratic number field. The main ingredients of the proofs are, first, Nesterenko's dimension estimate and its various generalizations, and secondly, Popov's method (in Töpfer's version) for the asymptotic evaluation of certain complex integrals.

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48

Wilson, Rob. ""Hiroshima Sublime": Trauma, Japan, and the US Asia/Pacific Imaginary." Southeast Asian Review of English 58, no. 2 (December 15, 2021): 46–61. http://dx.doi.org/10.22452/sare.vol58no2.4.

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As an ethical and aesthetic mandate for the new millenium, the Cold War repression of Hiroshima within the American political imaginaryneeds to be symbolically confronted and undoneat national as well as global levels.As Americans and as Japanese citizens of the liberal global order, we must mutually move beyond the Cold War situation of historical repression that had obtained in 1965, when novelist Kenzaburo Ōelamented, “To put the matter plainly and bluntly, people everywhere on this earth are trying to forget Hiroshima and the unspeakable tragedy perpetrated there.” However traumatic, Americans and their allies must try to remember this Hiroshima sublimeas a trauma of geopolitical dominationand racialized hegemony across the Pacific Ocean. By thinking through and re-imagining the techno-euphoric grandeur of this Hiroshima sublime, as well as representing the ideological complicity of ordinary Americans in their own sublime (rapturedby these technological forces of sublimity as manifesting and globally installingPatriot missilesas signs of theirglobal supremacy) and ordinary Japanese (citizens of the Empire of the Sun fascinatedby self-sublation into zeros of solar force) in the production of this nuclear sublime, we can begin to mutually recognize that a ‘post-nuclear’era offers new possibilities and symbolic ties between America and Japan as Pacific powers. This post-nuclear era emerges out of World War II freighted with terror and wonder as a double possibility:at once urging the globe towards annihilation andyet also towards transactional and dialogical unityat the transnational border of national self-imagining. The phobic masochism of the sublime can no longer operate in a transnational world of global/local linkages, although the technological sublimity of the Persian Gulf War had suggested otherwise, withits “sublime Patriot”missiles and quasi-nuclear landscapes lingering in the world deserts from Iraq and Afganistan to Nevada and North Korea.

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Peregrina Castaños, Mikel. "Hidden Rituals, Secret Powers And Everlasting Horrors: The Presence Of Lovecraftian Imaginary in Spanish Recent Extreme Metal." Brumal. Revista de investigación sobre lo Fantástico 7, no. 1 (June 19, 2019): 81. http://dx.doi.org/10.5565/rev/brumal.545.

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Dennis Patrick Slattery. "On Deadly Powers by Paul A. Trout and Imaginary Animals by Boria Sax." Storytelling, Self, Society 14, no. 1 (2018): 147. http://dx.doi.org/10.13110/storselfsoci.14.1.0147.

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