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1

Milner‐Barry, P. S. "In memoriam W. Gordon Welchman." Intelligence and National Security 1, no. 2 (May 1986): 141. http://dx.doi.org/10.1080/02684528608431845.

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2

Gordon, Michael W. "Remarks by Michael W. Gordon." Proceedings of the ASIL Annual Meeting 80 (1986): 45–48. http://dx.doi.org/10.1017/s0272503700006455.

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3

Whelton, Paul K., and Michael A. Moore. "W. Gordon Walker, MD, FACP." Hypertension 45, no. 1 (January 2005): 1–2. http://dx.doi.org/10.1161/01.hyp.0000152699.98982.66.

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4

Angus, Sterling, and Stan Chester. "Gordon W. Robb 1923–2012." Forestry Chronicle 88, no. 04 (August 2012): 470–72. http://dx.doi.org/10.5558/tfc2012-083.

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5

Nonlaopon, Kamsing. "On the Inverse Ultrahyperbolic Klein-Gordon Kernel." Mathematics 7, no. 6 (June 11, 2019): 534. http://dx.doi.org/10.3390/math7060534.

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In this work, we define the ultrahyperbolic Klein-Gordon operator of order α on the function f by T α ( f ) = W α ∗ f , where α ∈ C , W α is the ultrahyperbolic Klein-Gordon kernel, the symbol ∗ denotes the convolution, and f ∈ S , S is the Schwartz space of functions. Our purpose of this work is to study the convolution of W α and obtain the operator L α = T α − 1 such that if T α ( f ) = φ , then L α φ = f .
6

de Carvalho, Roy J. "Gordon W. Allport on the Nature of Prejudice." Psychological Reports 72, no. 1 (February 1993): 299–308. http://dx.doi.org/10.2466/pr0.1993.72.1.299.

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7

Tordoff, Harrison B., and C. Stuart Houston. "In Memoriam: Gordon W. Gullion, 1923-1991." Auk 110, no. 4 (October 1993): 915–16. http://dx.doi.org/10.2307/4088645.

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8

Blew, Roger D., and Robert L. Edmonds. "REPLY TO DISCUSSION by Gordon W. Stuart." Journal of the American Water Resources Association 32, no. 2 (April 1996): 409–10. http://dx.doi.org/10.1111/j.1752-1688.1996.tb03463.x.

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9

Pharand, Donat. "In Memoriam: Gordon W. Smith (1918 – 2000)." Canadian Yearbook of international Law/Annuaire canadien de droit international 39 (2002): 433–34. http://dx.doi.org/10.1017/s0069005800007621.

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10

Association, Canadian Urological. "Dr. Harold W. Estey, Dr. F. Gordon Mack." Canadian Urological Association Journal 6, no. 1 (February 26, 2013): 72. http://dx.doi.org/10.5489/cuaj.376.

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11

Edwards, Laura F. "The History in “Critical Legal Histories”: Robert W. Gordon. 1984. Critical Legal Histories. Stanford Law Review 36:57–125." Law & Social Inquiry 37, no. 01 (2012): 187–99. http://dx.doi.org/10.1111/j.1747-4469.2012.01301.x.

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This commentary explores Robert Gordon's “Critical Legal Histories” from the perspective of the discipline of history. It argues that we are still stalled at the intellectual juncture that Gordon described so well twenty-five years ago because functionalism and the resulting problems that Gordon addresses in the area of sociolegal studies also pervade the discipline of history. The results reinforce the divide between sociolegal studies and other kinds of historical studies that tend to inhibit the conceptual transformation that Gordon advocates and to marginalize legal studies within the discipline of history.
12

Gadamska-Serafin, Renata. "Norwid i sybiracy." Studia Norwidiana 37 (November 14, 2019): 59–89. http://dx.doi.org/10.18290/sn.2019.37-4.

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Syberyjskie zsyłki przeorały świadomość Norwida już w latach gimnazjalnych (to jest 30. XIX w.), bowiem wtedy rozpoczęła się kolejna (po polistopadowej) ich fala. Temat zesłań i męczeństwa był często podejmowany przez Norwida w rozmowach i korespondencji z przyjaciółmi. Nawet pośród bliższych i dalszych krewnych (bądź powinowatych) poety nie brakowało ludzi dotkniętych wyrokami deportacji na Wschód (Józef Hornowski, Kleczkowscy, Konstanty Jarnowski). Lista Norwidowskich znajomych-sybiraków jest przerażająco długa: Karol Baliński, Maksymilian Jatowt (pseud. Jakub Gordon), Agaton Giller, Karol Ruprecht, Stefan Dobrycz, Andrzej Deskur, Bronisław Zaleski, Antoni i Michał Zalescy, Anna Modzelewska i jej brat, Aleksander Hercen, Piotr Ławrow. Zdarzały się też spotkania z zesłańcami bądź ich rodzinami przypadkowe (Aniela Witkiewiczówna, Aleksander Czekanowski). Norwid pilnie słuchał ustnych relacji tych, którzy powrócili, sięgał również po publikacje na tematy syberyjskie, ukazujące się od początku lat 50. (m.in. Gillera, Gordona, B. Zaleskiego). W swoich wystąpieniach i listach wielokrotnie zwracał uwagę na konieczność upamiętniania „wygnańców sybirskich” i udzielania im wsparcia – modlitewnego i materialnego, a także utworzenia Towarzystwa Syberyjskiego, „gdzie by dośrodkowały się wszystkie pojedyncze wycierpienia i zdobycze”. Otoczenie sybiraków opieką państwa i umożliwienie im powrotu do ojczyzny stało się nawet jednym z punktów Norwidowskiego projektu zasad ustrojowo-społecznych przyszłej Polski.
13

Kaschube, Dorothea, and Duane Quiatt. "Gordon W. Hewes (1917-1997): Scholar, Scientist, General Anthropologist." American Anthropologist 100, no. 4 (December 1998): 984–87. http://dx.doi.org/10.1525/aa.1998.100.4.984.

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14

Fraser, Brian. "Ralph Connor's Christianity: the Evangelical Liberalism of C. W. Gordon." Toronto Journal of Theology 3, no. 2 (September 1987): 267–81. http://dx.doi.org/10.3138/tjt.3.2.267.

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15

Cwik, August J. "Infinite Possibilities of Social Dreaming edited by Lawrence, W. Gordon." Journal of Analytical Psychology 53, no. 3 (May 20, 2008): 444–45. http://dx.doi.org/10.1111/j.1468-5922.2008.00737_4.x.

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16

Niklas, Stefan. "On the Reissue of The Authoritarian Personality." Krisis | Journal for Contemporary Philosophy 41, no. 1 (June 15, 2021): 202–9. http://dx.doi.org/10.21827/krisis.41.1.37213.

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Review of Theodor W. Adorno, Else Frenkel-Brunswik, Daniel J. Levinson & R. Nevitt Sanford in collaboration with Betty Aron, Maria Hertz Levinson, and William Morrow (2019) The Authoritarian Personality. With an Introduction by Peter E. Gordon. London/New York: Verso.
17

Gordon, W. Terrence. "A Comparative Study of the French & Italian Translations of Anne Michaels’ Fugitive Pieces." TTR : traduction, terminologie, rédaction 15, no. 1 (July 29, 2003): 103–15. http://dx.doi.org/10.7202/006802ar.

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Abstract W. Terrence Gordon examines the notion of translation problems by comparing the French and Italian versions of Michaels’ work. He begins by examining the translation of geological terms which, although they cause no translation problems on a strictly scientific level, are a cause of divergence in the French and Italian versions because they express metaphorically a main theme of the novel: memory and the modifying effect that the past has on the present. Gordon also examines the strategy of each translator with regards to word play, and in particular homonyms, anagrams and palindromes, which are rendered anywhere from a strictly didactic translation to a translation based on various linguistic resources and creative expression. Gordon reminds us that we are invited to study the stylistique interne of English-French and English-Italian through the two translations.
18

Francaviglia, Richard. "On the Margins of Science and Civilization: W. K. Gordon's 1895 Geological Reconnaissance in the Trans-Pecos Borderlands." Earth Sciences History 27, no. 1 (January 1, 2008): 113–30. http://dx.doi.org/10.17704/eshi.27.1.p456t258862533w9.

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In 1895, self-trained mining engineer William K. Gordon, Sr (1862-1949) conducted a geological reconnaissance trip to far West Texas in search of coal deposits. A report from that trip reveals how Gordon's training in geology (acquired largely through reading) and his intrinsic interest in stratigraphy and geomorphology helped him effectively advise the Texas and Pacific Coal Company about the bleak prospects there. In 2005, using Gordon's never-before consulted field report, the author retraced, or rather re-hiked, Gordon's route. Gordon's report features hand-drawn maps and a geological cross-section that were field checked and compared to later data. The author concludes that Gordon enthusiastically, but often inaccurately, described the complex petrology in the rugged, semi-arid Eagle Mountains. Gordon was evidently vexed by how to identify some of the highly varied extrusive igneous rocks here. Nevertheless, Gordon's work should be recognized as the earliest serious geological reconnaissance in a remote area that would much later (1963) be studied in detail by geologists who had at their disposal considerably better tools to analyze the petrology, and possessed a growing awareness of plate tectonics that were unknown in Gordon's time.
19

Puente, Luis, Carlos Cocha, and Clara Rojas. "Study of superradiance in the Lambert-W potential barrier." International Journal of Modern Physics A 34, no. 16 (June 10, 2019): 1950087. http://dx.doi.org/10.1142/s0217751x19500878.

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We present a new potential barrier that presents the phenomenon of superradiance when the reflection coefficient [Formula: see text] is greater than one. We calculated the transmission and reflection coefficients for three different regions. The results are compared with those obtained for the hyperbolic tangent potential barrier and the step potential barrier. We also present the solution of the Klein–Gordon equation with the Lambert-[Formula: see text] potential barrier in terms of the Heun Confluent functions.
20

Moran, Chris. "Becoming a Gordon Craig: Micheál mac Liammóir and Edward Gordon Craig’s Shared Beliefs and Performances of Self." Review of Irish Studies in Europe 4, no. 1 (June 14, 2021): 27–42. http://dx.doi.org/10.32803/rise.v4i1.2637.

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Micheál mac Liammóir (1898-1978) and Edward Gordon Craig (1872-1966) shared many similarities: both were actors, designers, directors, and writers, and both rejected the realist tradition dominant in the theatre of their times. Craig’s developments in design throughout Europe laid a path for mac Liammóir to follow; indeed, mac Liammóir begins his autobiography All for Hecuba (1946) with the claim, ‘I would become [...] a Gordon Craig’. However, their affinities were not only in design and other aspects of theatre practice but in their shared artistic beliefs and performances of identity. This article will examine what mac Liammóir might have meant by ‘becoming a Gordon Craig’, first by considering Craig’s reputation and comparing both artists’ biographies. By contextualising Craig’s collaboration with W. B. Yeats at the Abbey Theatre, and Yeats’ influence on mac Liammóir, the article seeks to define the shared beliefs of mac Liammóir and Craig. Finally, by placing mac Liammóir’s reinvention and performance of self within a wider modernist context, an argument will be made for considering mac Liammóir in light of Craig’s concept of ‘The Über-Marionette’. Keywords: Edward Gordon Craig, Micháel mac Liammóir, Übermarionette, W.B. Yeats, Identity
21

Bensaid, Benaouda, and Mustafa Tekke. "Islam and Prejudice: Special Reference to Gordon W. Allport’s Contact Hypothesis." Kemanusiaan the Asian Journal of Humanities 25, Supplement 1 (2018): 103–20. http://dx.doi.org/10.21315/kajh2018.25.s1.6.

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22

Herbst, B. M., and W. H. Steeb. "Parametrically Driven One-Dimensional Sine-Gordon Equation and Chaos." Zeitschrift für Naturforschung A 43, no. 8-9 (September 1, 1988): 727–33. http://dx.doi.org/10.1515/zna-1988-8-902.

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AbstractThe chaotic behaviour of the parametrically driven one-dimensional sine-Gordon equation with periodic boundary conditions is studied. The initial condition is u(x, 0) = ƒ(x), ut (x, 0) = 0 where ƒ is the breather solution of the one-dimensional sine-Gordon equation at t = 0. We vary the amplitude of the driving force, the frequency of the driving force and the damping constant. For appropriate values of the driving force, frequency and damping constant chaotic behaviour with respect to the time-evolution of w(x = fixed, t) can be found. The space structure u(t = fixed, x) changes with increasing driving force from a zero mode structure to a breather-like structure consisting of a few modes.
23

Ahn, C., G. Delfino, and G. Mussardo. "Mapping between the sinh-Gordon and Ising models." Physics Letters B 317, no. 4 (November 1993): 573–80. http://dx.doi.org/10.1016/0370-2693(93)91375-w.

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24

Anandan, J., and P. O. Mazur. "Geometric phase for the relativistic Klein-Gordon equation." Physics Letters A 173, no. 2 (February 1993): 116–20. http://dx.doi.org/10.1016/0375-9601(93)90173-w.

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25

Caputo, Jean-Guy, Nikos Flytzanis, Yuri Gaididei, Irene Moulitsa, and Emmanuel Vavalis. "Split Mode Method for the Elliptic 2D Sine-Gordon Equation: Application to Josephson Junction in Overlap Geometry." International Journal of Modern Physics C 09, no. 02 (March 1998): 301–23. http://dx.doi.org/10.1142/s0129183198000236.

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We introduce a new type of splitting method for semilinear partial differential equations. The method is analyzed in detail for the case of the two-dimensional static sine-Gordon equation describing a large area Josephson junction with overlap current feed and external magnetic field. The solution is separated into an explicit term that satisfies the one-dimensional sine-Gordon equation in the y-direction with boundary conditions determined by the bias current and a residual which is expanded using modes in the y-direction, the coefficients of which satisfy ordinary differential equations in x with boundary conditions given by the magnetic field. We show by direct comparison with a two-dimensional solution that this method converges and that it is an efficient way of solving the problem. The convergence of the y expansion for the residual is compared for Fourier cosine modes and the normal modes associated to the static one-dimensional sine-Gordon equation and we find a faster convergence for the latter. Even for such large widths as w=10 two such modes are enough to give accurate results.
26

Kritzer, Mary. "Morphological Investigations of Single Neurons in Vitro.Gloria E. Meredith , Gordon W. Arbuthnott." Quarterly Review of Biology 69, no. 4 (December 1994): 555. http://dx.doi.org/10.1086/418829.

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27

Nichols, Lawrence T. "Toward an Integral, Professional-Public Sociology: The Example of Gordon W. Allport." American Sociologist 50, no. 2 (April 24, 2019): 315–32. http://dx.doi.org/10.1007/s12108-019-9409-5.

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28

KIM, SANG-HYUN. "GEOMETRICITY AND POLYGONALITY IN FREE GROUPS." International Journal of Algebra and Computation 21, no. 01n02 (February 2011): 235–56. http://dx.doi.org/10.1142/s0218196711006157.

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Gordon and Wilton recently proved that the double D of a free group F amalgamated along a cyclic subgroup C of F contains a surface group if a generator w of C satisfies a certain 3-manifold theoretic condition, called virtually geometricity. Wilton and the author defined the polygonality of w which also guarantees the existence of a surface group in D. In this paper, virtual geometricity is shown to imply polygonality up to descending to a finite-index subgroup of F. That the converse does not hold will follow from an example formerly considered by Manning.
29

Morinelli, Vincenzo, and Karl-Henning Rehren. "Spacelike deformations: higher-helicity fields from scalar fields." Letters in Mathematical Physics 110, no. 8 (June 11, 2020): 2019–38. http://dx.doi.org/10.1007/s11005-020-01294-w.

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Abstract In contrast to Hamiltonian perturbation theory which changes the time evolution, “spacelike deformations” proceed by changing the translations (momentum operators). The free Maxwell theory is only the first member of an infinite family of spacelike deformations of the complex massless Klein–Gordon quantum field into fields of higher helicity. A similar but simpler instance of spacelike deformation allows to increase the mass of scalar fields.
30

Bellamy, Gwyn. "The Calogero-Moser partition for G(m, d, n)." Nagoya Mathematical Journal 207 (September 2012): 47–77. http://dx.doi.org/10.1017/s0027763000022303.

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AbstractWe show that it is possible to deduce the Calogero-Moser partition of the irreducible representations of the complex reflection groups G(m,d, n) from the corresponding partition for G(m,1,n). This confirms, in the case W = G(m,d,n), a conjecture of Gordon and Martino relating the Calogero-Moser partition to Rouquier families for the corresponding cyclotomic Hecke algebra.
31

Alluhaibi, Nadia, та Rashad A. Abdel-Baky. "Timelike W -Surfaces in Minkowski 3-Space ℝ 1 3 and the Sinh-Gordon Equation". Journal of Applied Mathematics 2022 (7 березня 2022): 1–10. http://dx.doi.org/10.1155/2022/7998748.

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Let M and M ∗ be two timelike surfaces in Minkowski 3-space ℝ 1 3 . If there exists a spacelike (timelike) Darboux line congruence between each point of M and M ∗ , then the surfaces are timelike Weingarten surfaces. It turns out their Tschebyscheff angles are solutions of the Sinh-Gordon equation, and the surfaces are related to each other by Backlund’s transformation. Finally, a method to construct new timelike Weingarten surface has been found.
32

Christelow, Stephanie Evans. "William of Tyre, Historian of the Latin East.Peter W. Edbury , John Gordon Rowe." Speculum 65, no. 3 (July 1990): 658–59. http://dx.doi.org/10.2307/2864067.

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33

Tarafder, Sreemoyee. "Aggression in the sports world: a social psychological perspective, by Gordon W. Russell." Soccer & Society 12, no. 2 (March 2011): 304–5. http://dx.doi.org/10.1080/14660970.2011.548447.

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34

Gerhards, Albert. "Koinonia and the Development of the Liturgy: A Response to Gordon W. Lathrop." Studia Liturgica 26, no. 1 (March 1996): 82–90. http://dx.doi.org/10.1177/003932079602600107.

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35

Foda, O., and T. A. Welsh. "Cylindric partitions, ${{\boldsymbol{ \mathcal W }}}_{r}$ characters and the Andrews–Gordon–Bressoud identities." Journal of Physics A: Mathematical and Theoretical 49, no. 16 (March 17, 2016): 164004. http://dx.doi.org/10.1088/1751-8113/49/16/164004.

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36

Lösel, Steffen. "What Sacred Symbols Say about Strangers and Strawberries: Gordon W. Lathrop’s Liturgical Theology in Review** Gordon W. Lathrop, Holy Things: A Liturgical Theology. (Minneapolis: Augsburg Fortress, 1993), xii+236 pp., $20.00 (paper);Gordon W. Lathrop, Holy People: A Liturgical Ecclesiology. (Minneapolis: Augsburg Fortress, 1999), x+246 pp., $29.00 (cloth);Gordon W. Lathrop, Holy Ground: A Liturgical Cosmology. (Minneapolis: Augsburg Fortress, 2003), xii+237 pp., $25.00 (cloth)." Journal of Religion 85, no. 4 (October 2005): 634–48. http://dx.doi.org/10.1086/431813.

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37

Fine, Benjamin, and Gerhard Rosenberger. "Surface groups within Baumslag doubles." Proceedings of the Edinburgh Mathematical Society 54, no. 1 (January 19, 2011): 91–97. http://dx.doi.org/10.1017/s0013091509001102.

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AbstractA conjecture of Gromov states that a one-ended word-hyperbolic group must contain a subgroup that is isomorphic to the fundamental group of a closed hyperbolic surface. Recent papers by Gordon and Wilton and by Kim and Wilton give sufficient conditions for hyperbolic surface groups to be embedded in a hyperbolic Baumslag double G. Using Nielsen cancellation methods based on techniques from previous work by the second author, we prove that a hyperbolic orientable surface group of genus 2 is embedded in a hyperbolic Baumslag double if and only if the amalgamated word W is a commutator: that is, W = [U, V] for some elements U, V ∈ F. Furthermore, a hyperbolic Baumslag double G contains a non-orientable surface group of genus 4 if and only if W = X2Y2 for some X, Y ∈ F. G can contain no non-orientable surface group of smaller genus.
38

Flath, Daniel E., and L. C. Biedenharn. "Beyond the Enveloping Algebra of sl3." Canadian Journal of Mathematics 37, no. 4 (August 1, 1985): 710–29. http://dx.doi.org/10.4153/cjm-1985-038-9.

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The problem which motivated the writing of this paper is that of finding structure behind the decomposition of the sl3 representation spaces V* ⊗ W = Hom(V, W) for finite dimensional irreducible sl3-modules V and W. For sl2 this extends the classical Clebsch-Gordon problem. The question has been considered for sl3 in a computational way in [5]. In this paper we build a conceptual algebraic framework going beyond the enveloping algebra of sl3.For each dominant integral weight α let Vα be an irreducible representation of sl3 of highest weight α. It is well known that, for weights α, μ, λ, the multiplicity of Vλ in Hom(Vα, Vα+μ) is bounded by the multiplicity of μ in Vλ, with equality for generic α. This suggests the possibility of a single construction of highest weight vectors of weight X in Hom(Vα, Vα+μ) which is valid for all a.
39

Moreno-Kamińska, Natalie. "Przemiany we współczesnej Francji w kontekście zacierania się granic kulturowych – perspektywa kulturoznawcza na wybranych przykładach." Politeja 16, no. 1(58) (October 31, 2019): 189–209. http://dx.doi.org/10.12797/politeja.16.2019.58.11.

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Transformations in Contemporary France in the Context of Considering Cultural Borders – A Cultural Perspective in Selected Case Studies Culture in France, as well as its society, is changing. Mobility, the decline of traditional religiosity, and the takeover of global cultural patterns are just a few manifestations of the evolution of French contemporary culture. Based on the concept of culture transfer by French scientists, Michel Espagne and Michael Werner, and Gordon Mathews’ “cultural supermarket”, the author will present examples and effects of infiltration of foreign cultures and attempts to maintain the distinctiveness and cultural identity of the French.
40

Riffenburgh, Beau. "James Gordon Bennett, the New York Herald and the Arctic." Polar Record 27, no. 160 (January 1991): 9–16. http://dx.doi.org/10.1017/s003224740001980x.

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AbstractJames Gordon Bennett Jr (1841–1918), recognized as one of the most important individuals in the development of popular journalism in the United States, was proprietor of the New York Herald, perhaps the most influential American newspaper of his time. The man who sent Henry Morton Stanley to Africa to find David Livingstone, he was also significant in American Arctic exploration during the second half of the 19th century. He played a role in the organization or funding of five Arctic expeditions, including the Jeannette expedition under George W. De Long. Although his interest in exploration was primarily a means to increase the circulation of his newspaper, by his sponsorship Bennett helped contribute to knowledge of the Arctic. More importantly, through extensive coverage in the Herald, he helped create national interest in the Arctic and in polar exploration in general.
41

Banner, Lois W. "Linda Gordon . Dorothea Lange: A Life beyond Limits . New York : W. W. Norton and Company . 2009 . Pp. xxiii, 536. $35.00." American Historical Review 116, no. 2 (April 2011): 475–76. http://dx.doi.org/10.1086/ahr.116.2.475.

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42

Ibita, Ma Marilou S. "Saving Images: The Presence of the Bible in Christian Liturgy by Gordon W. Lathrop." Catholic Biblical Quarterly 81, no. 2 (2019): 339. http://dx.doi.org/10.1353/cbq.2019.0131.

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43

Voelz, Richard W. "Saving Images: The Presence of the Bible in Christian Liturgy by Gordon W. Lathrop." Theology Today 76, no. 2 (July 2019): 181–82. http://dx.doi.org/10.1177/0040573619848324g.

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44

Byars, Ronald P. "Saving Images: The Presence of the Bible in Christian Liturgy, by Gordon W. Lathrop." Interpretation: A Journal of Bible and Theology 73, no. 1 (December 13, 2018): 62–64. http://dx.doi.org/10.1177/0020964318802823b.

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45

McKellar, Shelley. "Failed Venture: Gordon Murray and the W. P. Caven Memorial Research Foundation, 1949–74." Canadian Bulletin of Medical History 18, no. 2 (October 2001): 241–75. http://dx.doi.org/10.3138/cbmh.18.2.241.

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46

Houston, C. Stuart. "From Sled to Satellite: My Years with the Grenfell Mission Gordon W. ThomasFrom Sled to Satellite: My Years with the Grenfell Mission Gordon W. Thomas Toronto: Irwin Publishing, 1987, 127 p., $17.95." Canadian Bulletin of Medical History 5, no. 1 (July 1988): 84. http://dx.doi.org/10.3138/cbmh.5.1.84.

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47

ZHANG, YU. "LIFTED HEEGAARD SURFACES AND VIRTUALLY HAKEN MANIFOLDS." Journal of Knot Theory and Its Ramifications 21, no. 08 (May 10, 2012): 1250073. http://dx.doi.org/10.1142/s0218216512500733.

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In this paper, we give infinitely many non-Haken hyperbolic genus three 3-manifolds each of which has a finite cover whose induced Heegaard surface from some genus three Heegaard surface of the base manifold is reducible but can be compressed into an incompressible surface. This result supplements [A. Casson and C. Gordon, Reducing Heegaard splittings, Topology Appl. 27 (1987) 275–283] and extends [J. Masters, W. Menasco and X. Zhang, Heegaard splittings and virtually Haken Dehn filling, New York J. Math. 10 (2004) 133–150].
48

Senyange, B., J. J. du Plessis, B. Many Manda, and Ch Skokos. "Properties of Normal Modes in a Modified Disordered Klein-Gordon Lattice: From Disorder to Order." Nonlinear Phenomena in Complex Systems 23, no. 2 (July 9, 2020): 165–71. http://dx.doi.org/10.33581/1561-4085-2020-23-2-165-171.

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We introduce a modified version of the disordered Klein-Gordon lattice model, having two parameters for controlling the disorder strength: D, which determines the range of the coefficients of the on-site potentials, and W, which defines the strength of the nearestneighbor interactions. We fix W = 4 and investigate how the properties of the system's normal modes change as we approach its ordered version, i.e. D → 0. We show that the probability density distribution of the normal mode's frequencies takes a 'U'-shaped profile as D decreases. Furthermore, we use two quantities for estimating the mode's spatial extent, the so-called localization volume V (which is related to the mode's second moment) and the mode's participation number P. We show that both quantities scale as ∝ D−2 when D approaches zero and we numerically verify a proportionality relation between them as V/P ≈ 2.6.
49

Paczkowski, Mikołaj. "Ku nieznanej nieba stronie... O książkowych relacjach z uczestnictwa Polaków w balonowych zawodach Gordona Bennetta." Postscriptum Polonistyczne 25, no. 1 (July 22, 2020): 261–69. http://dx.doi.org/10.31261/ps_p.2020.25.19.

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The paper describes two books containing accounts on participation in the International Gordon Bennett Cup ballooning race: “Kościuszko” nad Ameryką [“Kościuszko” above America] by Zbigniew Burzyński (1934) and Balonem “LOPP” nad Morze Białe [Above the White Sea in the “LOPP” balloon] by Stanisław Brenk (1937). The Polish achievements in the competition had a significant impact on the interest in ballooning in the interwar period. The texts discussed in the paper are visibly inspired by reportage and travel novels. The books had a propaganda nature: intended for the young reader, they highlighted the attractiveness of the army and the importance of the Polish army in the world.
50

Rosiak, Natalia, Kamil Wdowiak, Ewa Tykarska, and Judyta Cielecka-Piontek. "Amorphous Solid Dispersion of Hesperidin with Polymer Excipients for Enhanced Apparent Solubility as a More Effective Approach to the Treatment of Civilization Diseases." International Journal of Molecular Sciences 23, no. 23 (December 2, 2022): 15198. http://dx.doi.org/10.3390/ijms232315198.

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The present study reports amorphous solid dispersions (ASDs) of hesperidin (Hes) prepared by ball milling to improve its solubility and apparent solubility over the unmodified compound. The carriers were Soluplus® (Sol), alginate sodium (SA), and hydroxypropylmethylcellulose (HPMC). XRPD analysis confirmed full amorphization of all binary systems in 1:5 w/w ratio. One glass transition (Tg) observed in DSC thermograms of hesperidin:Soluplus® (Hes:Sol) and hesperidin:HPMC (Hes:HPMC) 1:5 w/w systems confirmed complete miscibility. The mathematical model (Gordon–Taylor equation) indicates that the obtained amorphous systems are characterized by weak interactions. The FT-IR results confirmed that hydrogen bonds are responsible for stabilizing the amorphous state of Hes. Stability studies indicate that the strength of these bonds is insufficient to maintain the amorphous state of Hes under stress conditions (25 °C and 60 °C 76.4% RH). HPLC analysis suggested that the absence of degradation products indicates safe hesperidin delivery systems. The solubility and apparent solubility were increased in all media (water, phosphate buffer pH 6.8 and HCl (0.1 N)) compared to the pure compound. Our study showed that all obtained ASDs are promising systems for Hes delivery, wherein Hes:Sol 1:5 w/w has the best solubility (about 300-fold in each media) and apparent solubility (about 70% in phosphate buffer pH 6.8 and 63% in HCl).

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