• Title/Summary/Keyword: LI-ideal

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Remarks on the Valid Equations in Lattice Implication Algebras

  • JEONG, JOOHEE
    • Kyungpook Mathematical Journal
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    • v.43 no.4
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    • pp.539-545
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    • 2003
  • We present a set of equations that axiomatizes the class of all lattice implication algebras. The construction is different from the one given in [7], and the proof is direct: i.e., it does not rely on results from outside the realm of the lattice implication algebras, such as the theory of BCK-algebras. Then we show that the lattice H implication algebras are nothing more than the familiar Boolean algebras. Finally we obtain some negative results for the embedding of lattice implication algebras into Boolean algebras.

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ON $\mathcal{I}$-SCATTERED SPACES

  • Li, Zhaowen;Lu, Shizhan
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.667-680
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    • 2014
  • In this paper, $\mathcal{I}$-scattered spaces are introduced, and their characterizations and properties are given. We prove that (X, ${\tau}$) is scattered if and only if (X, ${\tau}$, $\mathcal{I}$) is $\mathcal{I}$-scattered for any ideal $\mathcal{I}$ on X.

ON POTENT RINGS

  • Li, Bingjun
    • Communications of the Korean Mathematical Society
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    • v.23 no.2
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    • pp.161-167
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    • 2008
  • A ring R is called an $I_0$-ring if each left ideal not contained in the Jacobson radical J(R) contains a non-zero idempotent. If, in addition, idempotents can be lifted modulo J(R), R is called an I-ring or a potent ring. We study whether these properties are inherited by some related rings. Also, we investigate the structure of potent rings.

THE ANNIHILATING-IDEAL GRAPH OF A RING

  • ALINIAEIFARD, FARID;BEHBOODI, MAHMOOD;LI, YUANLIN
    • Journal of the Korean Mathematical Society
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    • v.52 no.6
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    • pp.1323-1336
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    • 2015
  • Let S be a semigroup with 0 and R be a ring with 1. We extend the definition of the zero-divisor graphs of commutative semigroups to not necessarily commutative semigroups. We define an annihilating-ideal graph of a ring as a special type of zero-divisor graph of a semigroup. We introduce two ways to define the zero-divisor graphs of semigroups. The first definition gives a directed graph ${\Gamma}$(S), and the other definition yields an undirected graph ${\overline{\Gamma}}$(S). It is shown that ${\Gamma}$(S) is not necessarily connected, but ${\overline{\Gamma}}$(S) is always connected and diam$({\overline{\Gamma}}(S)){\leq}3$. For a ring R define a directed graph ${\mathbb{APOG}}(R)$ to be equal to ${\Gamma}({\mathbb{IPO}}(R))$, where ${\mathbb{IPO}}(R)$ is a semigroup consisting of all products of two one-sided ideals of R, and define an undirected graph ${\overline{\mathbb{APOG}}}(R)$ to be equal to ${\overline{\Gamma}}({\mathbb{IPO}}(R))$. We show that R is an Artinian (resp., Noetherian) ring if and only if ${\mathbb{APOG}}(R)$ has DCC (resp., ACC) on some special subset of its vertices. Also, it is shown that ${\overline{\mathbb{APOG}}}(R)$ is a complete graph if and only if either $(D(R))^2=0,R$ is a direct product of two division rings, or R is a local ring with maximal ideal m such that ${\mathbb{IPO}}(R)=\{0,m,m^2,R\}$. Finally, we investigate the diameter and the girth of square matrix rings over commutative rings $M_{n{\times}n}(R)$ where $n{\geq} 2$.

ANALYSIS OF THE LiF:Mg,Cu,Si TL AND THE LiF:Mg,Cu,P TL GLOW CURVES BY USING GENERAL APPROXIMATION PLUS MODEL

  • Chang, In-Su;Lee, Jung-Il;Kim, Jang-Lyul;Oh, Mi-Ae;Chung, Ki-Soo
    • Journal of Radiation Protection and Research
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    • v.34 no.4
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    • pp.155-164
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    • 2009
  • In this paper, we used computerized glow curve deconvolution (CGCD) software with several models for the simulation of a TL glow curve which was used for analysis. By using the general approximation plus model, parameters values of the glow curve were analyzed and compared with the other models parameters (general approximation, mixed order kinetics, general order kinetics). The LiF:Mg,Cu,Si and the LiF:Mg,Cu,P material were used for the glow curve analysis. And we based on figure of merits (FOM) which was the goodness of the fitting that was monitored through the value between analysis model and TLD materials. The ideal value of FOM is 0 which represents a perfect fit. The main glow peak makes the most effect of radiation dose assessment of TLD materials. The main peak of the LiF:Mg,Cu,Si materials has a intensity rate 80.76% of the whole TL glow intensity, and that of LiF:Mg,Cu,P materials has a intensity rate 68.07% of the whole TL glow intensity. The activation energy of LiF:Mg,Cu,Si was analyzed as 2.39 eV by result of the general approximation plus(GAP) model. In the case of mixed order kinetics (MOK), the activation energy was analyzed as 2.29 eV. The activation energy was analyzed as 2.38 eV by the general order kinetics (GOK) model. In the case of LiF:Mg,Cu,P TLD, the activation energy was analyzed as 2.39 eV by result of the GAP model. In the case of MOK, the activation energy was analyzed as 2.55 eV. The activation energy was analyzed as 2.51 eV by the GOK model. The R value means different ratio of retrapping-recombination. The R value of LiF:Mg,Cu,Si TLD main peak analyzed as $1.12\times10^{-6}$ and $\alpha$ value analyzed as $1.0\times10^{-3}$. The R of LiF:Mg,Cu,P TLD analyzed as $7.91\times10^{-4}$, the $\alpha$ value means different ratio of initial thermally trapped electron density-initial trapped electron density (include thermally disconnected trap electrons density). The $\alpha$ value was analyzed as $9.17\times10^{-1}$ which was the difference from LiF:Mg,Cu,Si TLD. The deep trap electron density of LiF:Mg,Cu,Si was higher than the deep trap electron density of LiF:Mg,Cu,P.

A Way to Avoid Muscular Fibrosis in the First Dorsal Interosseous Muscle after Acupuncture Injection Therapy

  • Wong, Yiu Ming
    • Journal of Pharmacopuncture
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    • v.20 no.3
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    • pp.227-229
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    • 2017
  • Fibrosis of skeletal muscle following acupuncture is an iatrogenic disorder. The present case illustrates a patient with a unilateral fibrotic formation on a thumb muscle after acupuncture injection therapy with red sage. The patient in the present case was a counter-terrorism police officer with right-handedness; he noted a palpable nodule three months after injection therapy at his left first dorsal interosseous in which the acupuncture point LI4 (He Gu) is located. He also found a reduction in the strength of his left pinch grip that noticeably affected his left handgun marksmanship. However, being ambidextrous in single-hand pistol shooting is an essential requirement for counter-terrorism police officers. Based on the patient's medical history and claims, no underlying disease or trauma was found to be associated with his current complaint. During physical examination, a fibrotic formation in his left first dorsal interosseous muscle was visualized by using diagnostic ultrasound; also, as confirmed with dynamometry, the strength of his left pinch grip was significantly lower than that of the right counterpart. Because acupuncture injection therapy has three components, antiseptic practices, the mechanical action of syringe insertion, and the pharmacological effect of the sterile herb extract, any one of the components may have contributed to the present adverse event. The first dorsal interosseous muscle is small in dimension and rather vascular; thus, it is not an ideal site for intramuscular injection. When a clinician needs to treat a patient by performing acupuncture at the LI4 acupoint and injecting a herbal extract simultaneously, the clinician should only mechanically stimulate the LI4 acupoint while injecting the herbal medicine into the LI14 (Bi Noe) acupoint on the same meridian, the LI14 acupoint being located in the distal portion of the deltoid muscle and being fairly close to the universally agreed upon site on the upper arm for safe administration of an injection.

A Chemical Reaction Calculation and a Semi-Empirical Model for the Dynamic Simulation of an Electrolytic Reduction of Spent Oxide Fuels (산화물 사용후핵연료 전해환원 화학 반응 계산 및 동적 모사를 위한 반실험 모델)

  • Park, Byung-Heung;Hur, Jin-Mok;Lee, Han-Soo
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.8 no.1
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    • pp.19-32
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    • 2010
  • Electrolytic reduction technology is essential for the purpose of adopting pyroprocessing into spent oxide fuel as an alternative option in a back-end fuel cycle. Spent fuel consists of various metal oxides, and each metal oxide releases an oxygen element depending on its chemical characteristic during the electrolytic reduction process. In the present work, an electrolytic reduction behavior was estimated for voloxidized spent fuel based on the assumption that each metal-oxygen system is independent and behaves as an ideal solid solution. The electrolytic reduction was considered as a combination of a Li recovery and chemical reactions between the metal oxides such as uranium oxide and the produced Li metal. The calculated result revealed that most of the metal oxides were reduced by the process. It was evaluated that a reduced fraction of lanthanide oxides increased with a decreasing $Li_2O$ concentration. However, most of the lanthanides were expected to be stable in their oxide forms. In addition, a semi-empirical model for describing $U_3O_8$ electrolytic reduction behavior was proposed by considering Li diffusion and a chemical reaction between $U_3O_8$ and Li. Experimental data was used to determine model parameters and, then, the model was applied to calculate the reduction yield with time and to estimate the required time for a 99.9% reduction.

An Improved Fast Camera Calibration Method for Mobile Terminals

  • Guan, Fang-li;Xu, Ai-jun;Jiang, Guang-yu
    • Journal of Information Processing Systems
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    • v.15 no.5
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    • pp.1082-1095
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    • 2019
  • Camera calibration is an important part of machine vision and close-range photogrammetry. Since current calibration methods fail to obtain ideal internal and external camera parameters with limited computing resources on mobile terminals efficiently, this paper proposes an improved fast camera calibration method for mobile terminals. Based on traditional camera calibration method, the new method introduces two-order radial distortion and tangential distortion models to establish the camera model with nonlinear distortion items. Meanwhile, the nonlinear least square L-M algorithm is used to optimize parameters iteration, the new method can quickly obtain high-precise internal and external camera parameters. The experimental results show that the new method improves the efficiency and precision of camera calibration. Terminals simulation experiment on PC indicates that the time consuming of parameter iteration reduced from 0.220 seconds to 0.063 seconds (0.234 seconds on mobile terminals) and the average reprojection error reduced from 0.25 pixel to 0.15 pixel. Therefore, the new method is an ideal mobile terminals camera calibration method which can expand the application range of 3D reconstruction and close-range photogrammetry technology on mobile terminals.

Zeolite Membrane for High Temperature Gas Separation

  • Li, G.;Kikuchi, E.;Matsukata, M.
    • Proceedings of the Membrane Society of Korea Conference
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    • 2004.05a
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    • pp.86-89
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    • 2004
  • The present study reports the preparation of a compact ZSM-5 membrane showing high thermal stability and high separation factors, especially n-/i-butane isomers at high temperatures. ZSM-5 membrane was prepared on a porous $\alpha$-Al$_2$O$_3$ tube (an average pore diameter, ca. 100 nm) at 18$0^{\circ}C$ by the seed-assisted crystallization method. The XRD and SEM results showed that a thin zeolite layer (ca. 1 ${\mu}{\textrm}{m}$) was formed on the support surface. The single gas permeances of $N_2$, H$_2$, SF$_{6}$, n-butane, and i-butane were taken at 27$0^{\circ}C$. i-Butane permeance hardly changed after repeated thermal treatments up to 40$0^{\circ}C$, indicating the membrane is thermally stable. On the other hand, other single gas permeances increased when the membrane was further dried at 40$0^{\circ}C$, indicating thermal pretreatment at 27$0^{\circ}C$ could not remove all the adsorbed species in the membrane. i-Butane and SF$_{6}$ permeances were significantly lower than the permeances of smaller molecules, indicating that the membrane has a low concentration of defects. The ideal selectivities at 27$0^{\circ}C$ were 61 for $H_2$/i-butane and 47 for $H_2$/SF$_{6}$. The temperature dependency of n/i-butane ideal selectivities and separation factors for an equimolar n/i-butane mixture was studied. The ideal selectivity showed a maximum of 36 at 30$0^{\circ}C$. The separation factors increased with temperature and reached around 12 at 300-40$0^{\circ}C$, which were much higher than those reported in the literature.ature.

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Experimental study on flow characteristics of downburst-like wind over the 3D hill using the wall jet and the impinging jet models

  • Bowen Yan;Kaiyan Xie;Xu Cheng;Chenyan Ma;Xiao Li;Zhitao Yan
    • Wind and Structures
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    • v.39 no.2
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    • pp.141-161
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    • 2024
  • Engineering structures often suffer significant damage in the horizontal outflow region of downburst. The wall jet model, which simplifies the simulation device by only modeling the horizontal outflow region of downburst, has been widely employed to study downburst flow characteristics. However, research on downburst wind fields over hilly terrain using the wall jet model is limited, and the relationship between the downburst wind fields generated by wall jet and impinging jet remains unclear. This study investigates the flow characteristics of downburst-like wind over a 3D ideal hill model using wind tunnel tests with the wall jet and impinging jet models. The effects of hill height, slope, shape, and radial position on the speed-up ratio are examined using the wall jet flow. The results indicate that slope and radial position significantly affect the speed-up ratio, while hill height have a slight impact and shape have a minimal impact. Additionally, this study investigates the wind field characteristics over flat terrain using the impinging jet, and investigated the connection between the impinging jet model and the wall jet. Based on this connection, a comparison of the downburst-like flow characteristics over the same 3D ideal hill using the wall jet and impinging jet models is conducted, which further validates the reliability of the wall jet model for studying downburst flow characteristics over hilly terrain.