• Journal of applied mathematics & informatics
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• 제39권3_4호
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• pp.455-467
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• 2021

In this paper, we define twisted q-Euler polynomials of the second kind and explore some properties. We find generating function of twisted q-Euler polynomials of the second kind. Also, we investigate twisted q-Raabe's multiplication formula and (w, q)-alternating power sums of twisted q-Euler polynomials of the second kind. At the end, we define twisted q-Hurwitz's type Euler zeta function of the second kind.

• 한국의류산업학회지
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• 제13권1호
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• pp.130-134
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• 2011

In the study, the physical properties of the raw sample, non-circular(+ type) DTY yarn(50d level) with absorption and quick-dry function, were examined before and after being twisted(1000T/M). The results are as follows: The shrinkage of non-cricular(+type) DTY yarn(50d/36f) at $180^{\circ}$ was about 6-7% with twisted samples, but the samples without twisting went 8 to 10%. The elongation of the non-twisted and twisted samples at $180^{\circ}$ and 30-minute treatment time reached 50% and 40%, respectively. The tenacity of non-cricular(+type) DTY yarn(50d/36f) was affected less by treatment temperature in the twisted condition.

• 호남수학학술지
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• 제33권3호
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• pp.311-320
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• 2011

We in this paper construct Dirichlet's type twisted q-Euler numbers and polynomials with weight ${\alpha}$. We give some interestin identities some relations.

• 대한수학회보
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• 제47권6호
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• pp.1181-1188
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• 2010

q-Volkenborn integrals ([8]) and fermionic invariant q-integrals ([12]) are introduced by T. Kim. By using these integrals, Euler q-zeta functions are introduced by T. Kim ([18]). Then, by using the Euler q-zeta functions, S.-H. Rim, S. J. Lee, E. J. Moon, and J. H. Jin ([25]) studied q-Genocchi zeta functions. And also Y. H. Kim, W. Kim, and C. S. Ryoo ([7]) investigated twisted q-zeta functions and their applications. In this paper, we consider the q-analogue of twisted Lerch type Euler zeta functions defined by $${\varsigma}E,q,\varepsilon(s)=[2]q \sum\limits_{n=0}^\infty\frac{(-1)^n\epsilon^nq^{sn}}{[n]_q}$$ where 0 < q < 1, $\mathfrak{R}$(s) > 1, $\varepsilon{\in}T_p$, which are compared with Euler q-zeta functions in the reference ([18]). Furthermore, we give the q-extensions of the above twisted Lerch type Euler zeta functions at negative integers which interpolate twisted q-Euler polynomials.

• Journal of applied mathematics & informatics
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• 제39권1_2호
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• pp.1-11
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• 2021

In this paper, we define degenerate Carlitz-type twisted q-Euler numbers and polynomials by generalizing the degenerate Euler numbers and polynomials, Carlitz's type degenerate q-Euler numbers and polynomials. We also give some interesting properties, explicit formulas, symmetric properties, a connection with degenerate Carlitz-type twisted q-Euler numbers and polynomials.

• 대한수학회보
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• 제60권4호
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• pp.1003-1016
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• 2023

In this paper, we introduce the idea of twisted product lightlike submanifolds of semi-Riemannian manifolds and provide non-trivial examples of such lightlike submanifolds. Then, we prove the non-existence of proper isotropic or totally lightlike twisted product submanifolds of a semi-Riemannian manifold. We also show that for a twisted product lightlike submanifold of a semi-Riemannian manifold, the induced connection ∇ is not a metric connection. Further, we prove that a totally umbilical SCR-lightlike submanifold of an indefinite Kaehler manifold ${\tilde{M}}$ does not admit any twisted product SCR-lightlike submanifold of the type M_⊥×_ϕM_T, where M_⊥ is a totally real submanifold and MT is a holomorphic submanifold of ${\tilde{M}}$. Consequently, we obtain a geometric inequality for the second fundamental form of twisted product SCR-lightlike submanifolds of the type M_T×_ϕM_⊥ of an indefinite Kaehler manifold ${\tilde{M}}$, in terms of the gradient of ln ϕ, where ϕ stands for the twisting function. Subsequently, the equality case of this inequality is discussed. Finally, we construct a non-trivial example of a twisted product SCR-lightlike submanifold in an indefinite Kaehler manifold.

• 한국광학회지
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• 제14권5호
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• pp.565-569
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• 2003

TVA (Twisted VA)모드를 이용하여 반사중심의 반투과형 LCD를 설계하였다. 일반적으로 VA 모드의 본질적인 특성에 의해서 발생하는 blue shift 문제를 분광보상필름을 사용하여 해결하였다. 시야각 특성과 명암대비비를 개선하기 위해서 FSF(Front Scattering Film)과 negative C-plate를 사용하였다. 제안된 반투과형 TVA 모드는 약 80:1의 명암대비비, 22ms의 response time과 표준 MgO 반사판 대비 약 25%의 반사율을 가진다.

• International Journal of Naval Architecture and Ocean Engineering
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• 제6권3호
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• pp.715-722
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• 2014

Three twisted rudders fit for large container ships have been developed; 1) the Z-twisted rudder that is an asymmetry type taking into consideration incoming flow angles of the propeller slipstream, 2) the ZB-twisted rudder with a rudder bulb added onto the Z-twisted rudder, and 3) the ZB-F twisted rudder with a rudder fin attached to the ZB-twisted rudder. The twisted rudders have been designed computationally with the hydrodynamic characteristics in a self-propulsion condition in mind. The governing equation is the Navier-Stokes equations in an unsteady turbulent flow. The turbulence model applied is the Reynolds stress. The calculation was carried out in towing and self-propulsion conditions. The sliding mesh technique was employed to simulate the flow around the propeller. The speed performances of the ship with the twisted rudders were verified through model tests in a towing tank. The twisted versions showed greater performance driven by increased hull efficiency from less thrust deduction fraction and more effective wake fraction and decreased propeller rotating speed.

• 대한수학회보
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• 제50권2호
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• pp.659-665
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• 2013

In this note, the $q$-extension of the twisted Lerch Euler zeta functions considered by Jang [Bull. Korean Math. Soc. 47 (2010), no. 6, 1181-1188] is further investigated, and the generalized multiplication theorem for the $q$-extension of the twisted Lerch Euler zeta functions is given. As applications, some well-known results in the references are deduced as special cases.

• 한국정보통신학회논문지
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• 제22권6호
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• pp.888-894
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• 2018

본 논문에서는 연선의 성능 측정을 위한 혼합 모드 산란계수 측정시스템을 제안하였다. 연선은 균형 형태의 소자로써 일반적으로 동축 형태로 구현된 네트워크 분석기를 이용하여 특성 측정이 불가능하다. 이때, 발룬을 이용하여 균형 신호와 불균형 신호 간 변환을 통해 측정이 가능하지만 측정 주파수 대역폭이 제한되는 문제가 있다. 제안하는 시스템은 발룬을 사용하지 않고 4포트 벡터 네트워크 분석기와 설계한 고정구를 이용하여 혼합모드 산란계수를 측정하여 연선의 성능을 측정한다. 제안하는 시스템을 이용하여 상용 이더넷 케이블의 성능을 측정해보고 발룬의 이용한 결과와 비교해 보았다. 이를 통해 제안하는 시스템을 이용해 연선의 성능 측정이 가능함을 확인하였다.