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APPROXIMATION METHODS FOR A COMMON MINIMUM-NORM POINT OF A SOLUTION OF VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS IN BANACH SPACES

  • Shahzad, N.;Zegeye, H.
    • 대한수학회보
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    • 제51권3호
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    • pp.773-788
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    • 2014
  • We introduce an iterative process which converges strongly to a common minimum-norm point of solutions of variational inequality problem for a monotone mapping and fixed points of a finite family of relatively nonexpansive mappings in Banach spaces. Our theorems improve most of the results that have been proved for this important class of nonlinear operators.

Representation Theory of the Lie Group T3 and Three Index Bessel Functions

  • Pathan, Mahmood Ahmad;Shahwan, Mohannad Jamal Said
    • Kyungpook Mathematical Journal
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    • 제53권1호
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    • pp.143-148
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    • 2013
  • The theory of generalized Bessel functions is reformulated within the framework of an operational formalism using the multiplier representation of the Lie group $T_3$ as suggested by Miller. This point of view provides more efficient tools which allow the derivation of generating functions of generalized Bessel functions. A few special cases of interest are also discussed.

RATIONALIZED EVALUATION SUBGROUPS OF THE COMPLEX HOPF FIBRATION

  • Maphane, Oteng
    • 대한수학회논문집
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    • 제36권4호
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    • pp.835-840
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    • 2021
  • In this paper, we compute the rational evaluation subgroup of the Hopf fibration S2n+1 ↪ ℂP(n). We show that, for the Sullivan model 𝜙 : A → B, where A and B are the minimal Sullivan models of ℂP(n) and S2n+1 respectively, the evaluation subgroup Gn(A, B; 𝜙) and the relative evaluation subgroup Greln (A, B; 𝜙) of 𝜙 are generated by single elements.

Attenuation of Diabetic Conditions by Sida rhombifolia in Moderately Diabetic Rats and Inability to Produce Similar Effects in Severely Diabetic in Rats

  • Chaturvedi, Padmaja;Kwape, Tebogo Elvis
    • 대한약침학회지
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    • 제18권4호
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    • pp.12-19
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    • 2015
  • Objectives: This study was done out to evaluate the effects of Sida rhombifolia methanol extract (SRM) on diabetes in moderately diabetic (MD) and severely diabetic (SD) Sprague-Dawley rats. Methods: SRM was prepared by soaking the powdered plant material in 70% methanol and rota evaporating the methanol from the extract. Effective hypoglycemic doses were established by performing oral glucose tolerance tests (OGTTs) in normal rats. Hourly effects of SRM on glucose were observed in the MD and the SD rats. Rats were grouped, five rats to a group, into normal control 1 (NC1), MD control 1 (MDC1), MD experimental 1 (MDE1), SD control 1 (SDC1), and SD experimental 1 (SDE1) groups. All rats in the control groups were administered 1 mL of distilled water (DW). The rats in the MDE1 and the SDE1 groups were administered SRM orally at 200 and 300 mg/kg body weight (BW), respectively, dissolved in 1 mL of DW. Blood was collected initially and at intervals of 1 hour for 6 hours to measure blood glucose. A similar experimental design was followed for the 30-day long-term trial. Finally, rats were sacrificed, and blood was collected to measure blood glucose, lipid profiles, thiobarbituric acid reactive substances (TBARS) and reduced glutathione (GSH). Results: OGTTs indicated that two doses (200 and 300 mg/kg BW) were effective hypoglycemic doses in normal rats. Both doses reduced glucose levels after 1 hour in the MDE1 and the SDE1 groups. A long-term trial of SRM in the MD group showed a reduced glucose level, a normal lipid profile, and normal GSH and TBARS levels. In SD rats, SRM had no statistically significant effects on these parameters. Normal weight was achieved in the MD rats, but the SD rats showed reduced BW. Conclusion: The study demonstrates that SRM has potential to alleviate the conditions of moderate diabetic, but not severe diabetes.

RATIONAL HOMOTOPY TYPE OF MAPPING SPACES BETWEEN COMPLEX PROJECTIVE SPACES AND THEIR EVALUATION SUBGROUPS

  • Gatsinzi, Jean-Baptiste
    • 대한수학회논문집
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    • 제37권1호
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    • pp.259-267
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    • 2022
  • We use L models to compute the rational homotopy type of the mapping space of the component of the natural inclusion in,k : ℂPn ↪ ℂPn+k between complex projective spaces and show that it has the rational homotopy type of a product of odd dimensional spheres and a complex projective space. We also characterize the mapping aut1 ℂPn → map(ℂPn, ℂPn+k; in,k) and the resulting G-sequence.

A Theoretical Recapitulation of the Ethical Nature of Islamic Finance and Banking Law

  • Swartz, Nico P.
    • 융합경영연구
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    • 제2권4호
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    • pp.1-19
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    • 2014
  • The rule of Islam is simple: if you advance a loan, you are entitled to receive your capital only and nothing more. If you wish to secure profit you should enter into a partnership and become a shareholder. Prohibitions against interest are not peculiar to Islam. If we were to trace back through history, a number of examples of such prohibitions can be found in the early Greek, Roman and Rabinnical thought. With the decline of the influence of the Catholic Church interest transactions become legal and stimulated giant Western corporations which forged capitalist imperialism. The practice of charging interest (usury) now dominated Western law and ethics for over a millennium. But, the Western or capitalist economic system has proven a failure in its quest for economic justice, which serves to benefit all in society, both the rich and the poor. In particular, capitalism is currently causing a terrifying scenario of making the rich richer and the poor poorer due to interest charges. An alternative banking model, called Islamic finance and banking, is evoked in this study in order to depress financial exploitation by banking institutions.

A comparison of the forces on dome and prism for straight and tornadic wind using CFD model

  • Yousef, Majdi A.A.;Selvam, Panneer R.;Prakash, Jai
    • Wind and Structures
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    • 제26권6호
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    • pp.369-382
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    • 2018
  • Tornadoes are vertical swirling air formed because of the existence of layers of air with contrasting features of temperature, wind flow, moisture, and density. Tornadoes induce completely different wind forces than a straight-line (SL) wind. A suitably designed building for an SL wind may fail when exposed to a tornado-wind of the same wind speed. It is necessary to design buildings that are more resistant to tornadoes. In tornado-damaged areas, dome buildings seem to have less damage. As a dome structure is naturally wind resistant, domes have been used in back yards, as single family homes, as in-law quarters, man caves, game rooms, storm shelters, etc. However, little attention has been paid to the tornadic wind interactions with dome buildings. In this work, the tornado forces on a dome are computed using Computational Fluid Dynamics (CFD) for tornadic and SL wind. Then, the interaction of a tornado with a dome and a prism building are compared and analyzed. This work describes the results of the tornado wind effect on dome and prism buildings. The conclusions drawn from this study are illustrated in visualizations. The tornado force coefficients on a dome building are larger than SL wind forces, about 120% more in x- and y-directions and 280% more in z-direction. The tornado maximum pressure coefficients are also higher than SL wind by 150%. The tornado force coefficients on the prism are larger than the forces on the dome, about 100% more in x- and y-directions, and about 180% more in z-direction. The tornado maximum pressure coefficients on prism also are greater those on dome by 150% more. Hence, a dome building has less tornadic load than a prism because of its aerodynamic shape.

광산관리 소프트웨어의 개발 현황 및 활용사례 분석 (Development and Utilization of Mine Management Software: A Review)

  • 박세범;최요순
    • 터널과지하공간
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    • 제25권3호
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    • pp.221-230
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    • 2015
  • 본 연구에서는 국내외에서 개발된 광산관리 소프트웨어들을 조사하고 그 특징을 분석하였다. 해외에서는 다수의 기업들이 Dispatch, $Cat^{(R)}$ $MineStar^{TM}$, FARA 등과 같은 광산관리 소프트웨어를 개발하고 상용화하였다. 이 소프트웨어들은 실시간 장비 추적, 장비 할당 최적화, 생산량 관리, 장비 상태 모니터링, 원격조종과 같은 기능을 제공한다. 국내에서는 현재까지 상용화된 광산관리 소프트웨어는 없다. 일부 연구자들에 의해 GEMISIMS, Truck-Shovel fleet optimization 등의 소프트웨어가 개발되었으나, 다소 제한적인 기능만을 제공하고 있다. 추가적으로 본 논문에서는 보츠와나 Jwaneng 광산과 미국 Robinson 광산에서 광산관리 소프트웨어를 도입하여 활용한 사례를 조사하여 그 결과를 제시하였다.