• Title/Summary/Keyword: Lambda

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The characteristic of diffraction efficiency depending on the thickness of amorphous AsGeSeS (비정질 AsGeSeS 박막의 두께에 따른 회절효율 특성)

  • Lee, Ki-Nam;Yeo, Cheol-Ho;Kim, Jong-Bin;Lee, Yeong-Jong;Chung, Hong-Bay
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2004.07b
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    • pp.1029-1032
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    • 2004
  • This paper investigates that how diffraction efficiency is going to change according to amorphous As-Ge-Se-S. We made films such as $\lambda$, $\lambda/2$, $\lambda/4$, $\lambda/8$ on the basis of 633nm, which is wavelength of recording laser(He-Ne). Among them, $\lambda/4$ has the highest diffraction efficiency value, while $\lambda/8$ has the lowest. The experiment shows that the highest diffraction efficiency value of $\lambda/4$ is about 0.09%, whereas diffraction efficiency of $\lambda/8$ is formed, which is merely close to 0%.

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Design of Doubly-Clad Optical Fibers with Low Dispersion for $\lambda=1.3, 1.55{\mu}m$ ($\lambda=1.3, 1.55{\mu}m$에서 저분산을 갖는 이중-클래드 광섬유의 설계)

  • 정석원;김창민
    • Korean Journal of Optics and Photonics
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    • v.6 no.2
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    • pp.156-164
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    • 1995
  • Based on the scalar wave equation of optical fibers, the dispersion characteristics of arbitrarily profiled fibers were analyzed. We used the I-D FEM employing quadratic interpolation fucntions to solve the scalar wave equation. We simulated the DC optical fibers as objects, and searched for the refractive index distribution to minimize the total dispersion. In DC fibers, we found the design parameters for which the total dispersion was almost zero at $\lambda=1.3{\mu}m and 1.55{\mu}m$ simultaneously. We also found the design parameters where the dispersion was flattened, less than 1.0 ps/km.nm for$\lambda=1.4~1.7{\mu}m$1. and the dispersion was as low as 0.65 ps/km.nm at $\lambda=1.55{\mu}m$..

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WEYL@S THEOREMS FOR POSINORMAL OPERATORS

  • DUGGAL BHAGWATI PRASHAD;KUBRUSLY CARLOS
    • Journal of the Korean Mathematical Society
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    • v.42 no.3
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    • pp.529-541
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    • 2005
  • An operator T belonging to the algebra B(H) of bounded linear transformations on a Hilbert H into itself is said to be posinormal if there exists a positive operator $P{\in}B(H)$ such that $TT^*\;=\;T^*PT$. A posinormal operator T is said to be conditionally totally posinormal (resp., totally posinormal), shortened to $T{\in}CTP(resp.,\;T{\in}TP)$, if to each complex number, $\lambda$ there corresponds a positive operator $P_\lambda$ such that $|(T-{\lambda}I)^{\ast}|^{2}\;=\;|P_{\lambda}^{\frac{1}{2}}(T-{\lambda}I)|^{2}$ (resp., if there exists a positive operator P such that $|(T-{\lambda}I)^{\ast}|^{2}\;=\;|P^{\frac{1}{2}}(T-{\lambda}I)|^{2}\;for\;all\;\lambda)$. This paper proves Weyl's theorem type results for TP and CTP operators. If $A\;{\in}\;TP$, if $B^*\;{\in}\;CTP$ is isoloid and if $d_{AB}\;{\in}\;B(B(H))$ denotes either of the elementary operators $\delta_{AB}(X)\;=\;AX\;-\;XB\;and\;\Delta_{AB}(X)\;=\;AXB\;-\;X$, then it is proved that $d_{AB}$ satisfies Weyl's theorem and $d^{\ast}_{AB}\;satisfies\;\alpha-Weyl's$ theorem.

PAIR MEAN CORDIAL LABELING OF GRAPHS OBTAINED FROM PATH AND CYCLE

  • PONRAJ, R.;PRABHU, S.
    • Journal of Applied and Pure Mathematics
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    • v.4 no.3_4
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    • pp.85-97
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    • 2022
  • Let a graph G = (V, E) be a (p, q) graph. Define $${\rho}\;=\;\{\array{{\frac{p}{2}}&p\text{ is even}\\{\frac{p-1}{2}}\;&p\text{ is odd,}}$$ and M = {±1, ±2, ⋯ ± 𝜌} called the set of labels. Consider a mapping λ : V → M by assigning different labels in M to the different elements of V when p is even and different labels in M to p - 1 elements of V and repeating a label for the remaining one vertex when p is odd. The labeling as defined above is said to be a pair mean cordial labeling if for each edge uv of G, there exists a labeling $\frac{{\lambda}(u)+{\lambda}(v)}{2}$ if λ(u) + λ(v) is even and $\frac{{\lambda}(u)+{\lambda}(v)+1}{2}$ if λ(u) + λ(v) is odd such that ${\mid}\bar{\mathbb{S}}_{{\lambda}_1}-\bar{\mathbb{S}}_{{\lambda}^c_1}{\mid}{\leq}1$ where $\bar{\mathbb{S}}_{{\lambda}_1}$ and $\bar{\mathbb{S}}_{{\lambda}^c_1}$ respectively denote the number of edges labeled with 1 and the number of edges not labeled with 1. A graph G for which there exists a pair mean cordial labeling is called a pair mean cordial graph. In this paper, we investigate the pair mean cordial labeling of graphs which are obtained from path and cycle.

ON PAIR MEAN CORDIAL GRAPHS

  • R. PONRAJ;S. PRABHU
    • Journal of Applied and Pure Mathematics
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    • v.5 no.3_4
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    • pp.237-253
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    • 2023
  • Let a graph G = (V, E) be a (p, q) graph. Define $${\rho}=\{\array{{\frac{p}{2}} & \;\;p\text{ is even} \\ {\frac{p-1}{2}} & \;\;p\text{ is odd,}$$ and M = {±1, ±2, … ± ρ} called the set of labels. Consider a mapping λ : V → M by assigning different labels in M to the different elements of V when p is even and different labels in M to p - 1 elements of V and repeating a label for the remaining one vertex when p is odd. The labeling as defined above is said to be a pair mean cordial labeling if for each edge uv of G, there exists a labeling ${\frac{{\lambda}(u)+{\lambda}(v)}{2}}$ if λ(u) + λ(v) is even and ${\frac{{\lambda}(u)+{\lambda}(v)+1}{2}}$ if λ(u) + λ(v) is odd such that ${\mid}{\bar{{\mathbb{S}}}}_{\lambda}{_1}-{\bar{{\mathbb{S}}}}_{{\lambda}^c_1}{\mid}{\leq}1$ where ${\bar{{\mathbb{S}}}}_{\lambda}{_1}$ and ${\bar{{\mathbb{S}}}}_{{\lambda}^c_1}$ respectively denote the number of edges labeled with 1 and the number of edges not labeled with 1. A graph G for which there exists a pair mean cordial labeling is called a pair mean cordial graph. In this paper, we investigate the pair mean cordial labeling behavior of few graphs including the closed helm graph, web graph, jewel graph, sunflower graph, flower graph, tadpole graph, dumbbell graph, umbrella graph, butterfly graph, jelly fish, triangular book graph, quadrilateral book graph.

PAIR MEAN CORDIAL LABELING OF SOME UNION OF GRAPHS

  • R. PONRAJ;S. PRABHU
    • Journal of Applied and Pure Mathematics
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    • v.6 no.1_2
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    • pp.55-69
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    • 2024
  • Let a graph G = (V, E) be a (p, q) graph. Define $${\rho}=\{\array{{\frac{p}{2}} && p\;\text{is even} \\ {\frac{p-1}{2}} && p\;\text{is odd,}}$$ and M = {±1, ±2, … ± 𝜌} called the set of labels. Consider a mapping λ : V → M by assigning different labels in M to the different elements of V when p is even and different labels in M to p - 1 elements of V and repeating a label for the remaining one vertex when p is odd. The labeling as defined above is said to be a pair mean cordial labeling if for each edge uv of G, there exists a labeling $\frac{{\lambda}(u)+{\lambda}(v)}{2}$ if λ(u) + λ(v) is even and $\frac{{\lambda}(u)+{\lambda}(v)+1}{2}$ if λ(u) + λ(v) is odd such that ${\mid}\bar{\mathbb{s}}_{{\lambda}_1}-\bar{\mathbb{s}}_{{\lambda}^c_1}{\mid}\,{\leq}\,1$ where $\bar{\mathbb{s}}_{{\lambda}_1}$ and $\bar{\mathbb{s}}_{{\lambda}^c_1}$ respectively denote the number of edges labeled with 1 and the number of edges not labeled with 1. A graph G with a pair mean cordial labeling is called a pair mean cordial graph. In this paper, we investigate the pair mean cordial labeling behavior of some union of graphs.

Control effects of benfuracarb and ${\lambda}$-cyhalothrin to oak longicorn beetle, Moechotypa diphysis, infesting the oak mushroom bed logs (표고원목해충인 털두꺼비하늘소에 대한 Benfuracarb와 ${\lambda}$-Cyhalothrin의 방제효과)

  • Yoo, Jeong-Su;Lee, Sang-Gil;Park, Ji-Doo;Kim, Gil-Hah
    • The Korean Journal of Pesticide Science
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    • v.5 no.3
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    • pp.47-49
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    • 2001
  • The toxicity of benfuracarb and ${\lambda}$-cyhalothrin on oak longicorn beetle, Moechotypa diphysis was investigated in terms of residual effect and control efficacy in the field. Mycelial growth inhibition of Lentinula edodes was also investigated in the laboratory. Benfuracarb and ${\lambda}$-cyhalothrin showed 100% of control values and over 90% residual activities of benfuracarb and ${\lambda}$-cyhalothrin were continued for 15 and 20 days after treatment, respectively. Benfuracarb and ${\lambda}$-cyhalothrin did not affect the mycelial growth of L. edodes Imhyup 1 variety. These results indicate that benfuracarb and ${\lambda}$-cyhalothrin might be used for the control of M. diphysis adults in the field.

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Variations in the downwelling diffuse attenuation coefficients in the northern South China Sea

  • Wang, Guifen;Cao, Wenxi;Yang, Dingtian;Xu, Dazhi
    • Proceedings of the KSRS Conference
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    • v.2
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    • pp.905-908
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    • 2006
  • The diffuse attenuation coefficient for downwelling irradiance $(K_d({\lambda}))$ is an important parameter for ocean studies. Based on the optical profile data measured during three cruises in the northern South China Sea in autumn from 2003 to 2005, variations in the $K_d({\lambda})spectra$ were analyzed. The variability of $K_d({\lambda})$ shows much distinct features both in magnitude and spectra shape. The $K_d({\lambda})value$ are much higher in costal waters than that of open oceanic waters and the blue-to-green(443/555) ratios of $K_d({\lambda})$ tends to increases with the chlorophyll a concentration ([Chl a]) from open ocean to coastal waters. These characteristics can be explained primarily by the increasing of $a_{w+p}(433)/a_{w+p}(555)$ with [Chl a]. In the short waveband, the relation between $K_d({\lambda})-K_w({\lambda})$ and [Chl a] can be well described by a power law function, suggesting the large contribution of phytoplankton to the variations in $K_d({\lambda})$. As for the spectral model of the diffuse attenuation coefficient, there are good linear relationships between $K_d(490)$ and $K_d({\lambda})$ at other wavelengths, with the slope parameter and the intercept following linear functions within the spectral range $412{\sim}555$ nm. These variabilities of $K_d({\lambda})$ provided much useful information for us to study the bio-optical properties in the northern South China Sea.

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A study of control capacity structure of by the lipoid state of stratum on the skin (피부각질의 유지질상태에서 조절기능구조에 관한 연구)

  • Kim, Jeong-Lae;Kim, Hye-Ju
    • The Journal of the Convergence on Culture Technology
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    • v.3 no.3
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    • pp.37-42
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    • 2017
  • We are designed to control the lipoid variation of the structure system with the stratum corneum on the skin. The skin structure is consisted of a morphology how to use the lipoid component, and the given skin structure is consisted of the mechanical shapes of the intercellular route and transcellular route, and is confirmed to control the variation state of the structure capacity. The skin impedance is appeared to result the value of measurement such as shapes of ${\lambda}-Lip-RSC$, ${\lambda}-Lip-RSL$, ${\lambda}-Lip-CSG$, ${\lambda}-Lip-CSS$ and ${\lambda}-Lip-RSB$. The condition is showed to the alteration difference value of the intercellular route and transcellular route. And, composition condition is established to separate the division parts for conversion system that is constructed with the alteration modeling. We will be possible to progress the improvement effectiveness of the continuous skin control system on the skin.

Lean Combustion Characteristics with Hydrogen Addition in a LPG Fuelled Spark Ignition Engine (LPG엔진에서 수소연료 보조분사에 의한 희박연소특성 연구)

  • Oh, Seung-Mook;Kim, Chang-Up;Kang, Kern-Yong
    • Transactions of the Korean Society of Automotive Engineers
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    • v.14 no.2
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    • pp.114-120
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    • 2006
  • The basic effects of hydrogen addition for engine performance and emission were investigated in single cylinder research engine. Seven commercial injectors were tested to choose a suitable injector for hydrogen injection prior to its engine implementation. The hydrogen fuel leakage and flow rate were evaluated for each injector and KN3-1(Keihin, CO.) showed the best performance for hydrogen fuel. At the higher excess air ratio(${\lambda}=1.7$, 2.0), the better combustion stability was found with hydrogen addition even though its effect was small at lower excess air ratio (${\lambda}=1.0$, 1.3). Stable operation of the engine was even guaranteed at ${\lambda}=2.0$, if the amount of hydrogen gas was near 15% of total energy. In the lean region, ${\lambda}>1.3$, thermal efficiency was improved slightly while it was not clearly observed at ${\lambda}=1.0$, 1.3. It is considered that, in some cases, high temperature environment due to hydrogen combustion caused further heat loss to surroundings. Except for ${\lambda}=1.0$, with larger amount of hydrogen addition, CO was reduced drastically but it was emitted more at the leaner region. Nitric oxides(NOx) was increased a little more with hydrogen addition at ${\lambda}=1.0$, 1.3. However, at ${\lambda}>1.3$ its relative amount of emission was low. In addition, the amount of NOx was continuously decreased with hydrogen addition, but, at ${\lambda}=2.0$ the amount of NOx was lowered to 1/100 of that of ${\lambda}=1.0$. THC emission was significantly increased as air/fuel ratio was raised to leaner region due to misfire and partial burn.