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1

Walker, Christopher. "What Is "Sharp Power"?" Journal of Democracy 29, no. 3 (2018): 9–23. http://dx.doi.org/10.1353/jod.2018.0041.

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2

Makhmud, Anastasia Kh. "SHARP POWER. THE EFFORT OF WESTERN AUTHORS TO DIVIDE SOFT POWER ON “OUR” AND “THEIRS”." RSUH/RGGU Bulletin. Series Political Sciences. History. International Relations, no. 4 (2020): 186–202. http://dx.doi.org/10.28995/2073-6339-2020-4-186-202.

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The article is dedicated to the analysis of the concept of sharp power, its nature, basic characteristics and tools. Sharp power was introduced by American scientists Ch. Walker and D. Ludwig at the end of 2017 as an alternative version of soft power inherent only in totalitarian or authoritarian regimes. American researchers claim that sharp power has a set of tools such as data falsification, cyber-attacks, propaganda, manipulation of news streams, etc., and it’s aim is to undermine and discredit on Western-style democracies and democratic values in general. The author puts in doubt the statements of Western scholars that sharp power is inherent exclusively to authoritarian powers, to which they include Russia, China, Iran and several other countries. Moreover, the heuristic significance of the concept of sharp power is called into question. Also, based on the analytical work done, the author of the article offers her own version of the translation of the term sharp power into Russian language. In the conclusion, she offers a critical assessment of the concept, rather as an ideological phenomenon aimed at forming favorable attitudes to its ideologues in the international foreign policy discourse, than as a scientific concept, which is synonymous with soft power and smart power
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3

Skoneczny, Łukasz, and Bogusław Cacko. "Sharp power – wprowadzenie do problematyki." Przegląd Bezpieczeństwa Wewnętrznego 13, no. 25 (2021): 102–19. http://dx.doi.org/10.4467/20801335pbw.21.023.14300.

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Sharp power – introduction to the issue The aim of the article is an attempt to define the sharp power strategy, present characteristic ways of its employment and propose methods of minimizing its negative consequences for the security of the Republic of Poland. The analysis of the issues related to the types of state power (soft power, hard power, smart power) is followed by a coherent definition of sharp power formulated by the authors of the publication. The consecutive section of the article describes examples of methods of implementing the aforementioned strategy of influencing participants of international relations. Finally, the authors presented proposals for institutional and legal solutions, which are to counteract potential sharp power moves aimed at undermining the security and international position of the Republic of Poland. Celem artykułu jest próba zdefiniowania strategii sharp power, przedstawienie charakterystycznych sposobów jej zastosowania oraz zaproponowanie metod minimalizowania jej negatywnych skutków dla bezpieczeństwa Rzeczpospolitej Polskiej. Po przeanalizowaniu problematyki związanej z rodzajami potęgi państwa (soft power, hard power, smart power) autorzy publikacji sformułowali koherentną definicję sharp power. W dalszej części artykułu opisano przykładowe metody realizacji wspomnianej strategii oddziaływania na uczestników stosunków międzynarodowych. Na koniec autorzy przedstawili propozycje rozwiązań instytucjonalno-prawnych, których zadaniem jest przeciwdziałanie potencjalnym posunięciom z zakresu sharp power ukierunkowanym na zachwianie bezpieczeństwem i pozycją międzynarodową RP.
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4

LEONOVA, O. G. "SHARP POWER – THE NEW TECHNOLOGY OF INFLUENCE IN A GLOBAL WORLD." World Economy and International Relations 63, no. 2 (2019): 21–28. http://dx.doi.org/10.20542/0131-2227-2019-63-2-21-28.

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5

Walker, Christopher. "Rising to the Sharp Power Challenge." Journal of Democracy 33, no. 4 (October 2022): 119–32. http://dx.doi.org/10.1353/jod.2022.0051.

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6

Skoneczny, Łukasz, and Bogusław Cacko. "Sharp power – introduction to the issue." Przegląd Bezpieczeństwa Wewnętrznego 13, no. 25 (2021): 325–40. http://dx.doi.org/10.4467/20801335pbw.21.032.14309.

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The aim of the article is an attempt to define the sharp power strategy, present characteristic ways of its employment and propose methods of minimizing its negative consequences for the security of the Republic of Poland. The analysis of the issues related to the types of state power (soft power, hard power, smart power) is followed by a coherent definition of sharp power formulated by the authors of the publication. The consecutive section of the article describes examples of methods of implementing the aforementioned strategy of influencing participants of international relations. Finally, the authors presented proposals for institutional and legal solutions, which are to counteract potential sharp power moves aimed at undermining the security and international position of the Republic of Poland.
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7

Walker, Christopher, Shanthi Kalathil, and Jessica Ludwig. "The Cutting Edge of Sharp Power." Journal of Democracy 31, no. 1 (2020): 124–37. http://dx.doi.org/10.1353/jod.2020.0010.

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8

dos Santos, Niedja, and Sandra Balão. "Entre soft power e sharp power:A diplomacia pública da China durante o combate à pandemia de COVID-19." DAXIYANGGUO - REVISTA PORTUGUESA DE ESTUDOS ASIÁTICOS / PORTUGUESE JOURNAL OF ASIAN STUDIES, no. 26 (December 2021): 45–87. http://dx.doi.org/10.33167/1645-4677.daxiyangguo2021.26/pp.45-87.

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The research aims to identify how China articulated soft and sharp power while fighting the COVID-19 pandemic. The main argument is that the articulation between soft and sharp power is an inherent characteristic of Chinese public diplomacy. This argument features soft power as a power style operating not only in the international dimension, but also in the domestic dimension. After China’s contextualization, the analytical matrix was built from the operationalization of key concepts, namely public diplomacy, soft power and sharp power, paying attention to Chinese characteristics. The case study was led with data collected from primary and secondary sources. Besides the indication of paths for future developments, the conclusion summarizes how Chinese public diplomacy managed soft and sharp power with positive results in the international sphere and suggests that incorporating sharp power to diplomatic toolbox may be useful. Keywords: China; COVID-19; soft power; sharp power; public diplomacy
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9

Warne, L. K. "Eddy current power dissipation at sharp corners." IEEE Transactions on Microwave Theory and Techniques 42, no. 2 (1994): 283–90. http://dx.doi.org/10.1109/22.275259.

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10

Chu, Yu-Ming, Zhen-Hang Yang, and Li-Min Wu. "Sharp Power Mean Bounds for Sándor Mean." Abstract and Applied Analysis 2015 (2015): 1–5. http://dx.doi.org/10.1155/2015/172867.

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We prove that the double inequalityMp(a,b)<X(a,b)<Mq(a,b)holds for alla,b>0witha≠bif and only ifp≤1/3andq≥log 2/(1+log 2)=0.4093…, whereX(a,b)andMr(a,b)are the Sándor andrth power means ofaandb, respectively.
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11

Li, Yong-min, Miao-kun Wang, and Yu-ming Chu. "Sharp power mean bounds for Seiffert mean." Applied Mathematics-A Journal of Chinese Universities 29, no. 1 (March 2014): 101–7. http://dx.doi.org/10.1007/s11766-014-3008-6.

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12

Charillon, Frédéric. "Guerres d’influence et sharp power en Indo-Pacifique." Revue Défense Nationale N° 852, no. 7 (July 5, 2022): 38–42. http://dx.doi.org/10.3917/rdna.852.0038.

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13

Hála, Martin. "Combating Beijing’s Sharp Power: Transparency Wins in Europe." Journal of Democracy 33, no. 3 (July 2022): 158–71. http://dx.doi.org/10.1353/jod.2022.0030.

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14

Chen, Ketty W. "Combating Beijing’s Sharp Power: Taiwan's Democracy Under Fire." Journal of Democracy 33, no. 3 (July 2022): 144–57. http://dx.doi.org/10.1353/jod.2022.0029.

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15

Jakštaitė-Confortola, Gerda. "Russia's ‘Sharp Power’ Manifestations in Lithuania's Mass Media." Baltic Journal of Law & Politics 14, no. 1 (June 1, 2021): 73–102. http://dx.doi.org/10.2478/bjlp-2021-0004.

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Abstract The concept of ‘sharp power’ has recently emerged as a reaction to the assertiveness of authoritarian regimes. It serves to underline the complexity of challenges which are posed by authoritarian regimes, referring to diverse front lines in the overall ‘battle’, be they culture, education, or the media. The latter, according to Dmitri Trenin, “has become such a crowded battlefield”. This paper attempts to fill in the information gap regarding Russia’s ‘sharp power’ manifestations in Lithuania’s mass media and focuses on NATO related messages in particular. The paper presupposes that messages which evoke an air of support for Russia’s foreign and security policy tend to pass through to Lithuania’s mass media, and argues that, as a result of the insufficient activity by Lithuania’s mass media in terms of forming an independent perception of Russia vis-à-vis NATO, the preconditions for possible manifestations of Russia’s use of sharp power are therefore created. The article is organised into four parts. The first section sets out a theoretical framework for the analysis which focuses on the concept of sharp power. Then the research methodology is outlined. The third section presents features of the informational environment of Lithuania in 2016 and 2019. The final, and most elaborated, section investigates messages which apparently serve to support Russia’s foreign and security policy in terms of the NATO‘s topic in Lithuania’s mass media based on the aforementioned criteria.
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16

Biersteker, Thomas. "The Potential of Europe’s Sharp and Soft Power." Global Policy 11, no. 3 (May 2020): 384–87. http://dx.doi.org/10.1111/1758-5899.12815.

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17

Dungey, Nick. "Sharp constants in higher-order heat kernel bounds." Bulletin of the Australian Mathematical Society 61, no. 2 (April 2000): 189–200. http://dx.doi.org/10.1017/s000497270002219x.

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We consider a space X of polynomial type and a self-adjoint operator on L2(X) which is assumed to have a heat kernel satisfying second-order Gaussian bounds. We prove that any power of the operator has a heat kernel satisfying Gaussian bounds with a precise constant in the Gaussian. This constant was previously identified by Barbatis and Davies in the case of powers of the Laplace operator on RN. In this case we prove slightly sharper bounds and show that the above-mentioned constant is optimal.
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18

Maize, KennedyP. "Who succeeds Phil Sharp at energy and power subcommittee?" Electricity Journal 7, no. 2 (March 1994): 13–15. http://dx.doi.org/10.1016/1040-6190(94)90005-1.

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19

He, Xiao-Hong, Wei-Mao Qian, Hui-Zuo Xu, and Yu-Ming Chu. "Sharp power mean bounds for two Sándor–Yang means." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 113, no. 3 (February 18, 2019): 2627–38. http://dx.doi.org/10.1007/s13398-019-00643-2.

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He, Xiao-Hong, Yue-Ying Yang, and Wei-Mao Qian. "Sharp power mean bounds for the second Neuman mean." Miskolc Mathematical Notes 18, no. 2 (2017): 801. http://dx.doi.org/10.18514/mmn.2017.2159.

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21

Richter, Alexander. "A Theoretical Framework and Constructed Model for Sharp Power." Open Journal of Political Science 12, no. 04 (2022): 652–69. http://dx.doi.org/10.4236/ojps.2022.124035.

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22

Richards, Kendall C. "Sharp power mean bounds for the Gaussian hypergeometric function." Journal of Mathematical Analysis and Applications 308, no. 1 (August 2005): 303–13. http://dx.doi.org/10.1016/j.jmaa.2005.01.018.

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23

حمدون, أحمد. "Sharp Power : تزايد ممارسات (القوة الحادة) في التفاعلات الدولية." اتجاهات الأحداث, no. 25 (February 2018): 42–45. http://dx.doi.org/10.12816/0060024.

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24

Heurtebise, Jean-Yves, and Emmanuel Dubois de Prisque. "Soft Power, Sharp Power ou Huày?quán. La Chine en quête de suprématie." Monde chinois N°60, no. 4 (2019): 5. http://dx.doi.org/10.3917/mochi.060.0005.

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25

Fusco, Nicola, and Aldo Pratelli. "Sharp stability for the Riesz potential." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 113. http://dx.doi.org/10.1051/cocv/2020024.

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In this paper we show the stability of the ball as maximizer of the Riesz potential among sets of given volume. The stability is proved with sharp exponent 1∕2, and is valid for any dimension N ≥ 2 and any power 1 < α < N.
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26

Kusakabe, Tetsuo. "A Super-Green Factory: The Sharp Kameyama Plant." MRS Bulletin 33, no. 4 (April 2008): 456–58. http://dx.doi.org/10.1557/mrs2008.90.

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Sharp Corporation is making a concerted effort to reduce environmental impacts to the greatest extent possible at its production facilities around the world, and it is applying its own original evaluation criteria to recognize those plants having an extremely high level of environmental performance as “SuperGreen Factories.”Our Kameyama plant, the frst such factory to be so recognized, is an integrated, start-to-fnish production facility for liquid-crystal display (LCD) televisions (TVs), from fabricating the LCD panel to assembling the fnished TV set (see Table I). Given that large amounts of energy are consumed to operate production equipment and to power air conditioning, we focused particular attention on environmental measures intended to reduce global warming and introduced an energy supply system that combines environmental friendliness and operational stability. As shown in Figure 1, this system is based on integrating different types of large-scale distributed power sources and consists of a gas-fred cogeneration system, a fuel cell system, and a photovoltaic power generating system. The power output of this system covers about one-third of the total electrical needs of the plant.
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27

Park, Sunhwa. "An Analysis of China’s One Belt One Road Participatory State Expansion Strategy : Focused on Sharp Power." Korean Journal of Area Studies 37, no. 3 (September 30, 2019): 331–61. http://dx.doi.org/10.29159/kjas.37.3.11.

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28

Zwelakhe, Sisulu, and Thomas Karis. "People’s Education for People’s Power." Issue 15 (1987): 18–29. http://dx.doi.org/10.1017/s004716070050599x.

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When the 35-year-old Zwelakhe Sisulu arose to deliver the keynote address reproduced below, he stepped into a spotlight of national leadership toward which he had been moving for a decade. From an important role in the Black Consciousness Movement, he had become a leading strategic thinker for the United Democratic Front, South Africa’s most widely representative, nonracial coalition. Described by a colleague as “a charismatic, handsome figure with a resonant voice,” a man of “sharp intellect” and “sharp wit,” he is now recognized as one of the country’s outstanding younger leaders, comparable to Steve Biko, who died at the hands of the security police in 1977.
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Warne, Larry K. "Eddy Current Power Dissipation at Sharp Corners: Rectangular Conductor Examples." Electromagnetics 15, no. 3 (May 1995): 273–90. http://dx.doi.org/10.1080/02726349508908419.

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30

Chu, Yu-Ming, Li-Min Wu, and Ying-Qing Song. "Sharp Power Mean Bounds for the One-Parameter Harmonic Mean." Journal of Function Spaces 2015 (2015): 1–5. http://dx.doi.org/10.1155/2015/517647.

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We present the best possible parametersα=α(r)andβ=β(r)such that the double inequalityMα(a,b)<Hr(a,b)<Mβ(a,b)holds for allr∈(0, 1/2)anda, b>0witha≠b, whereMp(a, b)=[(ap+bp)/2]1/p (p≠0)andM0(a, b)=abandHr(a, b)=2[ra+(1-r)b][rb+(1-r)a]/(a+b)are the power and one-parameter harmonic means ofaandb, respectively.
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31

Schmeisser, G. "Sharp Inequalities for the Zeros of Polynomials and Power Series." Results in Mathematics 39, no. 3-4 (May 2001): 333–44. http://dx.doi.org/10.1007/bf03322693.

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32

Oliva, Azahara, Antonio Fernández-Ruiz, Eliezyer Fermino de Oliveira, and György Buzsáki. "Origin of Gamma Frequency Power during Hippocampal Sharp-Wave Ripples." Cell Reports 25, no. 7 (November 2018): 1693–700. http://dx.doi.org/10.1016/j.celrep.2018.10.066.

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33

Kóczy, László Á. "Brexit and Power in the Council of the European Union." Games 12, no. 2 (June 21, 2021): 51. http://dx.doi.org/10.3390/g12020051.

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The exit of the United Kingdom from the European Union has had profound economic and political effects. Here, we look at a particular aspect, the power distribution in the Council of the European Union. Using the Shapley–Shubik power index, we calculate the member states’ powers with and without the United Kingdom and update earlier power forecasts using the Eurostat’s latest population projections. There is a remarkably sharp relation between population size and the change in power: Brexit increases the largest members’ powers while decreasing the smallest ones’ powers.
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34

SEGELL, GLEN. "INFORMATION WARFARE BY MEANS OF SOFT AND SHARP POWER: THE CASE OF ISRAEL AND HAMAS." CONTEMPORARY MILITARY CHALLENGES, Volume 2019, issue 21/2 (June 12, 2019): 85–104. http://dx.doi.org/10.33179/10.33179/bsv.99.svi.11.cmc.21.2.4.

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Information warfare is a type of strategic communication realized through models of power such as soft and sharp power. Investigation provides evidence sustaining the theoretical framework and premise that the essential models of power are not just the ability, capability and intent, but also the means, method or technique of both states and non-state actors. The example of a dispute between Israel and Hamas in Gaza, from December 2017 to March 2018, shows Israel wielding soft power and Hamas wielding sharp power. This article reviews the models of power, then uses the methodology of the narrative and counter-narrative of Israel and Hamas to show their information warfare campaign. Hamas, a non-state actor, succeeded in gaining sympathy, but was unable to utilize this to further any other objectives. Winning an information battle by soft or by sharp power does not mean that the conflict is over. The conclusion shows that non-state actors, e.g. Hamas, that prioritize control over openness are deficient in soft power projection, so use sharp power to create distraction by the key attributes of expression and manipulation of mass media and public sensitivities, rather than by the attraction and persuasion (soft power) used by states, e.g. Israel. In both, all that is required is to instil a perception, even without facts, in the minds of the audience, which includes global leaders, the mass population and media outlets.
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35

Tabarintseva-Romanova, K. "New "S" powers of the state: theoretical aspect (soft, smart, sharp power)." Diplomaticheskaja sluzhba (Diplomatic Service), no. 1 (January 1, 2021): 72–77. http://dx.doi.org/10.33920/vne-01-2101-08.

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In connection with the ongoing geopolitical transformations and the increase in the importance of information technologies in world politics, there is an increase in the terminological apparatus of international and scientifi c discourse. The article analyzes such “new” concepts as: smart power, normative power, sharp power, which are a kind of hybrid of traditional concepts of “soft” and “hard” power.
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36

Macikas, Mantas. "AŠTRIOJI GALIA, KAIP TECHNOLOGINIS FENOMENAS KINIJOS POLITINĖSE PROJEKCIJOSE." Tiltai 88, no. 1 (June 30, 2022): 121–33. http://dx.doi.org/10.15181/tbb.v88i1.2414.

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This article presents the concept of China’s sharp power, and features of its formation that support it. The article deals with theoretical interpretations of soft power that are inseparable from the properties of sharp power. Soft power has been a very influential concept in recent decades to describe a country’s ability to influence others by cooperating, persuading and promoting a positive attitude in other states to achieve the desired results. Nevertheless, the concept of power has changed dramatically in recent years, due to shifts in the international system, and no longer fits definitions of the relationship between authoritarian and democratic systems. It is necessary to introduce a new concept of power, in order to expose the new world order posed by China as an emerging normative power. Authoritarian methods of influence can no longer, in principle, be described as soft power. There is a need to introduce a new term for power in academic discourse, in order to conceptualise the influence of authoritarian states on democracies. The article highlights the problem that sharp power can restrict freedom of expression and distort the political environment, by taking advantage of asymmetric levels of freedom between democratic and authoritarian systems. Having identified and clarified the terminological framework, the article presents three components of China’s sharp power, which allows for empirical research into its mechanisms for spreading influence, expanding the country’s interests abroad, and damaging democratic systems.
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37

Dolinar, Gregor, Bojan Kuzma, Janko Marovt, and Burcu Ungor. "On some partial orders on a certain subset of the power set of rings." Glasnik Matematicki 55, no. 2 (December 23, 2020): 177–90. http://dx.doi.org/10.3336/gm.55.2.01.

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Let 𝓡 be a ring with identity and let 𝓙𝓡 be a collection of subsets of 𝓡 such that their left and right annihilators are generated by the same idempotent. % from 𝓡. We extend the notion of the sharp, the left-sharp, and the right-sharp partial orders to 𝓙𝓡, present equivalent definitions of these orders, and study their properties. We also extend the concept of the core and the dual core orders to 𝓙𝓡, show that they are indeed partial orders when 𝓡 is a Baer *-ring, and connect them with one-sided sharp and star partial orders.
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38

FAN, DASHAN, and FAYOU ZHAO. "SHARP CONSTANTS FOR MULTIVARIATE HAUSDORFF -INEQUALITIES." Journal of the Australian Mathematical Society 106, no. 2 (June 7, 2018): 274–86. http://dx.doi.org/10.1017/s1446788718000113.

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In this paper, we focus on the multivariate Hausdorff operator of the form $$\begin{eqnarray}\mathbf{H}_{\unicode[STIX]{x1D6F7}}(f)(x)=\int _{(0,+\infty )^{n}}{\displaystyle \frac{\unicode[STIX]{x1D6F7}\big(\frac{x_{1}}{t_{1}},\frac{x_{2}}{t_{2}},\ldots ,\frac{x_{n}}{t_{n}}\big)}{t_{1}t_{2}\cdots t_{n}}}f(t_{1},t_{2},\ldots ,t_{n})\,\mathbf{dt},\end{eqnarray}$$ where $\mathbf{dt}=dt_{1}\,dt_{2}\cdots \,dt_{n}$ or $\mathbf{dt}=d_{q}t_{1}\,d_{q}t_{2}\cdots d_{q}t_{n}$ is the discrete measure in $q$-analysis. The sharp bounds for the multivariate Hausdorff operator on spaces $L^{p}$ with power weights are calculated, where $p\in \mathbb{R}\backslash \{0\}$.
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39

Zhu, Ling. "New Sharp Double Inequality of Becker–Stark Type." Mathematics 10, no. 4 (February 11, 2022): 558. http://dx.doi.org/10.3390/math10040558.

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In this paper, we establish new sharp double inequality of Becker–Stark type by using a role of the monotonicity criterion for the quotient of power series and the estimation of the ratio of two adjacent even-indexed Bernoulli numbers. The inequality results are better than those in the existing literature.
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40

Kalinin, E. V., and A. I. Chivenkov. "SHARP SURFACE EFFECT IN JOINTS OF LAMINATED CORES OF POWER TRANSFORMERS." Интеллектуальная электротехника, no. 4 (2019): 52–67. http://dx.doi.org/10.46960/2658-6754_2019_4_52.

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41

Meyries, Martin, and Mark Veraar. "Sharp embedding results for spaces of smooth functions with power weights." Studia Mathematica 208, no. 3 (2012): 257–93. http://dx.doi.org/10.4064/sm208-3-5.

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42

Fitzgerald, John. "Combating Beijing’s Sharp Power: How Australia's Civil Society Led the Way." Journal of Democracy 33, no. 3 (July 2022): 130–43. http://dx.doi.org/10.1353/jod.2022.0028.

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43

Zhao, Tie-Hong, Yuming Chu, and Wei-Mao Qian. "Sharp power mean bounds for the tangent and hyperbolic sine means." Journal of Mathematical Inequalities, no. 4 (2021): 1459–72. http://dx.doi.org/10.7153/jmi-2021-15-100.

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44

Gao, Hongya, Jianling Guo, and Wanguo Yu. "Sharp Bounds for Power Mean in Terms of Generalized Heronian Mean." Abstract and Applied Analysis 2011 (2011): 1–9. http://dx.doi.org/10.1155/2011/679201.

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For1<r<+∞, we find the least valueαand the greatest valueβsuch that the inequalityHα(a,b)<Ar(a,b)<Hβ(a,b)holds for alla,b>0witha≠b. Here,Hω(a,b)andAr(a,b)are the generalized Heronian and the power means of two positive numbersaandb, respectively.
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45

Cristoloveanu, Sorin, Jing Wan, and Alexander Zaslavsky. "A Review of Sharp-Switching Devices for Ultra-Low Power Applications." IEEE Journal of the Electron Devices Society 4, no. 5 (September 2016): 215–26. http://dx.doi.org/10.1109/jeds.2016.2545978.

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46

Li, Yong-Min, Bo-Yong Long, and Yu-Ming Chu. "Sharp bounds by the power mean for the generalized Heronian mean." Journal of Inequalities and Applications 2012, no. 1 (2012): 129. http://dx.doi.org/10.1186/1029-242x-2012-129.

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47

Warne, L. K. "Eddy current power dissipation at sharp corners: closely spaced rectangular conductors." Journal of Electromagnetic Waves and Applications 9, no. 11-12 (January 1, 1995): 1441–58. http://dx.doi.org/10.1163/156939395x00154.

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48

deLisle, Jacques. "Editor's Corner: Political Warfare, Sharp Power, the U.S., and East Asia." Orbis 64, no. 2 (2020): 167–73. http://dx.doi.org/10.1016/j.orbis.2020.02.001.

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49

Chu, Yu-Ming, and Wei-Feng Xia. "Two Sharp Inequalities for Power Mean, Geometric Mean, and Harmonic Mean." Journal of Inequalities and Applications 2009, no. 1 (2009): 741923. http://dx.doi.org/10.1155/2009/741923.

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50

Ghanem, Mohamed M. "Failure Analysis of Condensate Pump Shaft in Power Plant." Key Engineering Materials 786 (October 2018): 314–18. http://dx.doi.org/10.4028/www.scientific.net/kem.786.314.

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Abstract:
Failure analysis of condensate pump shaft used in power generation plant was investigated. After 5 years of operation, the pump shaft fabricated from free-machining 416 martensitic stainless steel was suddenly ruptured into two parts. Detailed study was carried out using VT, PT together with microstructure investigation using optical and scanning electron microscope (SEM), fractography, chemical analysis and hardness testing to find out the cause of shaft failure. Failure analysis investigation revealed that the shaft was failed by torsion fatigue. Rupture was initiated from the sharp edge of the shaft outer surface at which sulphide inclusions were existed The failure is attributed to simultaneous action of both stress concentration resulted from sharp corner (design fault) and sulphide inclusions that segregate in 416 free-machining martensitic stainless steel base alloy near shaft surface (metallurgical fault). To overcome the shaft failure, sharp corner must be smooth turned and eliminate sulphide segregation by appropriate heat treatment.
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