• 제목/요약/키워드: sequence of moduli

검색결과 8건 처리시간 0.022초

On Some Lacunary Generalized Difference Sequence Spaces of Invariant Means De ned by a Sequence of Modulus Function

  • Atici, Gulcan;Bektas, Cigdem Asma
    • Kyungpook Mathematical Journal
    • /
    • 제51권4호
    • /
    • pp.385-393
    • /
    • 2011
  • The aim of this paper is to introduce and study the sequence spaces [w, ${\theta}$, F, p, q]$_{\infty}({\Delta}_{\upsilon}^m)$, [w, ${\theta}$, F, p, q]$_1({\Delta}_{\upsilon}^m)$ and [w, ${\theta}$, F, p, q]$_0({\Delta}_{\upsilon}^m)$, which arise from the notions of generalized difference sequence space, lacunary convergence, invariant mean and a sequence of Moduli $F=(f_k)$. We establish some inclusion relations between these spaces under some conditions.

DISTANCES OF GLOBULAR CLUSTERS BASED ON HIPPARCOS PARALLAXES OF NEARBY SUBDWARFS

  • SAAD SOMAYA MOHAMED;LEE SANG-GAK
    • 천문학회지
    • /
    • 제34권2호
    • /
    • pp.99-109
    • /
    • 2001
  • In the present study we have determined the distance moduli for seven globular clusters M2, M3, Ml0, M12, NGC 2808, NGC 6229, and NGC 6752, whose metallicities are in the range -1.54 < [Fe/H] < -1.10. We have derived distances for them by the main-sequence fitting method using a sample of local subdwarfs, whose accurate parallaxes are taken from the Hipparcos Catalog. The derived distance moduli are 15.52 for M2, 14.98 for M3, 14.23 for Ml0, 14.03 for M12, 15.56 for NGC 2808, 17.34 for NGC 6229, and 13.29 for NGC 6752.

  • PDF

섬유 배열각의 이산성과 물성치의 불확실성을 고려한 복합재료 적층 평판의 최적 설계 (Optimal Design of Composite Laminated Plates with the Discreteness in Ply Angles and Uncertainty in Material Properties Considered)

  • 김태욱;신효철
    • 대한기계학회논문집A
    • /
    • 제25권3호
    • /
    • pp.369-380
    • /
    • 2001
  • Although extensive efforts have been devoted to the optimal design of composite laminated plates in recent years, some practical issues still need further research. Two of them are: the handling of the ply angle as either continuous or discrete; and that of the uncertainties in material properties, which were treated as continuous and ignored respectively in most researches in the past. In this paper, an algorithm for stacking sequence optimization which deals with discrete ply angles and that for thickness optimization which considers uncertainties in material properties are used for a two step optimization of composite laminated plates. In the stacking sequence optimization, the branch and bound method is modified to handle discrete variables; and in the thickness optimization, the convex modeling is used in calculating the failure criterion, given as constraint, to consider the uncertain material properties. Numerical results show that the optimal stacking sequence is found with fewer evaluations of objective function than expected with the size of feasible region taken into consideration; and the optimal thickness increases when the uncertainties of elastic moduli considered, which shows such uncertainties should not be ignored for safe and reliable designs.

Density by Moduli and Korovkin Type Approximation Theorem of Boyanov and Veselinov

  • Bhardwaj, Vinod K.;Dhawan, Shweta
    • Kyungpook Mathematical Journal
    • /
    • 제58권4호
    • /
    • pp.733-746
    • /
    • 2018
  • The concept of f-statistical convergence which is, in fact, a generalization of statistical convergence, has been introduced recently by Aizpuru et al. (Quaest. Math. 37: 525-530, 2014). The main object of this paper is to prove an f-statistical analog of the classical Korovkin type approximation theorem of Boyanov and Veselinov. It is shown that the f-statistical analog is intermediate between the classical theorem and its statistical analog. As an application, we estimate the rate of f-statistical convergence of the sequence of positive linear operators defined from $C^*[0,{\infty})$ into itself.

고층 콘크리트 건물의 기둥축소량 계측연구 (Measured and Predicted Column Shortening of a Tall Reinforced Concrete Building)

  • 김원상;조한욱;오정근;염경수
    • 콘크리트학회논문집
    • /
    • 제11권3호
    • /
    • pp.161-170
    • /
    • 1999
  • The KLCC Petronas Tower 2, one of the world tallest twin reinforced concrete towers constructed in Kuala Lumpur, Malysia, was instrumented during construction for the measurement of vertical time-dependent deformation of columns and corewall. Field measurements were made by means of vibrating wire strain gauges at the corewall, tower and bustle perimeter columns at selected floor levels of the building. Parallel to this observation, laboratory tests were performed on concrete cylinders made in the field in order to obtain the variations of concrete compressive strengths, elastic moduli, strains of creep and shrinkage with time. Monitored vertical deformations are in a good agreement with the prediction based on actual construction sequence and concrete properties from laboratory tests, as well as the analytical results reflected in actual column compensation of the building.

Synthesis of Cardo Based Poly(arylene ether)s for Flexible Plastic Substrates and Their Properties

  • Kim, Moon-Ki;Kwon, Kyung-Jae;Han, Yang-Kyoo
    • Bulletin of the Korean Chemical Society
    • /
    • 제32권9호
    • /
    • pp.3311-3316
    • /
    • 2011
  • New poly(arylene ether)s (PAEs) with both transparency and heat-resistance were prepared by a polycondensation of FBPODS, an ordered-sequence aromatic dihalide, and cardo typed aromatic diols containing fluorene and/or adamantane moiety and also non-cardo typed 1,5-naphthalene diol. The resulting polymers had their glass transition temperatures ranged from 202 to $247^{\circ}C$. Based on TGA data, they exhibited excellent thermal stabilities, showing 5% weight loss at $434-487^{\circ}C$. They had low thermal expansion coefficients of 58-59 ppm at temperature range of $50-200^{\circ}C$ as well as good mechanical properties with moduli of 1757-2143 MPa. The optical transmittance for the PAE films was over 70% at 550 nm, except for the PAE that contains naphthalene moiety (30% at 550 nm). They also showed water uptake of about 0.68% regardless of their chemical compositions. Therefore, the newly developed PAEs show strong potential as plastic substrates for flexible devices for display, solar cell and e-paper.

왁스첨가(添加) 순서(順序), 첨가량(添加量), 종류(種類)가 Isocyanate 접착(接着) PB의 성질(性質)에 미치는 영향(影響) (Effect of the Sequence of Wax Addition, Wax Level and Type on Properties of Isocyanate-Bonded Particleboard)

  • 권진헌
    • Journal of the Korean Wood Science and Technology
    • /
    • 제23권2호
    • /
    • pp.70-76
    • /
    • 1995
  • 본 연구는 왁스첨가순서(添加順序), 첨가량(添加量), 왁스종류(種類)가 Isocyanate 접착(接着) PB의 성질(性質)과 내수성(耐水性)에 미치는 영향(影響)을 구명(究明)하기 위해서 실시(實施)되었다. 왁스첨가순서(添加順序)는 PB의 기계적(機械的) 성질(性質) 및 내수성(耐水性)에 유의적(有意的)인 영향(影響)을 미치지는 않았다. 왁스에멀젼 첨가량(添加量)을 증가(增加)시킴으로써 접착력(接着力) 및 휨강도(强度) 내수(耐水) MOR은 감소(減少)되었지만 상태(常態) MOR 및 MOE는 감소(減少)되지 않았다. 상태접착력(常態接着力), 상태(常態) 및 내수(耐水) MOR과 MOE는 솔리드왁스량(量)을 증가(增加)시킴으로써 감소(減少)되지 않았지만 내수접착력(耐水接着力)은 감소(減少)되었다. 1% 및 1.5% 왁스량(量)을 첨가(添加)한 보드는 0.5% 왁스를 첨가(添加)한 보드와 비교(比較)해 보았을 때 내수성(耐水性)이 증가(增加)되지는 않았다. 솔리드왁스를 첨가(添加)한 보드의 접착력(接着力)은 왁스에멀젼을 첨가(添加)한 보드보다 더 좋은 결과(結果)를 나타내었다. 휨강도(强度)의 MOR 및 MOE, 내수성(耐水性)은 솔리드왁스와 왁스에멀젼간에 유의적(有意的)인 차이(差異)를 보이지는 않았다.

  • PDF