• Title/Summary/Keyword: (complete) lattice

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ON NOETHERIAN PSEUDO-PRIME SPECTRUM OF A TOPOLOGICAL LE-MODULE

  • Anjan Kumar Bhuniya;Manas Kumbhakar
    • Communications of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.1-9
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    • 2023
  • An le-module M over a commutative ring R is a complete lattice ordered additive monoid (M, ⩽, +) having the greatest element e together with a module like action of R. This article characterizes the le-modules RM such that the pseudo-prime spectrum XM endowed with the Zariski topology is a Noetherian topological space. If the ring R is Noetherian and the pseudo-prime radical of every submodule elements of RM coincides with its Zariski radical, then XM is a Noetherian topological space. Also we prove that if R is Noetherian and for every submodule element n of M there is an ideal I of R such that V (n) = V (Ie), then the topological space XM is spectral.

Precipitation Hardening by Holding After Simulated Complete Firing in a Metal-Ceramic Alloy of Pd-Au-Ag-Sn System (금속-세라믹용 Pd-Au-Ag-Sn계 합금의 모의소성 후 계류에 따른 석출경화)

  • Kim, Min-Jung;Shin, Hye-Jung;Kwon, Yong-Hoon;Kim, Hyung-Il;Seol, Hyo-Joung
    • Korean Journal of Dental Materials
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    • v.43 no.4
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    • pp.343-349
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    • 2016
  • This experiment was carried out to examine whether the post-firing heat treatment is effective in increasing the hardness of metal-ceramic alloy of the Pd-Au-Ag-Sn system. Precipitation hardening by holding at $600^{\circ}C$ after simulated complete porcelain firing in a metal-ceramic alloy of the Pd-Au-Ag-Sn system was examined by observing the change in hardness, crystal structure, and microstructure using a hardness test, X-ray diffraction (XRD), and field emission scanning electron microscopy (FE-SEM). The hardness of the alloy increased apparently by holding the specimen at $600^{\circ}C$ for 30 min after simulated complete porcelain firing. The formation of fine grain interior precipitates during holding at $600^{\circ}C$ caused the formation of lattice strain in the grain interior, resulting in apparent hardening. The faster cooling rate (stage 0) during simulated complete porcelain firing resulted in more effective precipitation hardening during holding at $600^{\circ}C$. From the above results, an appropriate post-firing heat treatment, such as holding at $600^{\circ}C$ for 30 min after complete porcelain firing may increase the durability of metal-ceramic prostheses composed of Pd-Au-Ag-Sn alloy.

The Influence of Ba Shortage on the Microwave Dielectric Properties of Ba Ba(Zn$_{1}$3Ta$_{2}$3)O$_3$ (BA 결핍이 Ba(Zn$_{1}$3Ta$_{2}$3)O$_3$의 마이크로파 유전 특성에 미치는 영향)

  • 이문길;윤광희;이두희;박창엽
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1993.11a
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    • pp.6-9
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    • 1993
  • In this study, Sintering behavior, Crystallographic structure, Microwave Dielectric properties of the nonstoichiometric Ba$\_$1-x/(Zn$\_$1/3/Ta$\_$2/3/)O$_3$with 0 x 0.04 were investigated. A small amount(lmol%) of MnO$_2$is doped to the sample to complete the sintering. The degree of Zn and Ta ordering in B site and Lattice distortion were promoted by reducing Ba concentration. At x=0.01, Unloaded Q value reached above 7500 (at 10.5 GHZ) ; however, above x=0.01, Q value was greatly decreased, in spite of saturation in Zn-Ta ordering. At x=0.01, The Dielectric constant was 30 at 10.5GHz. and The Temperature Coefficient was estimated as 2ppm/$^{\circ}C$.

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Piezoelectric and Strain Properties of Lead-free (Bi1/2Na1/2)TiO3-Ba(Cu1/3Nb2/3)O3 Ceramics (비납계 (Bi1/2Na1/2)TiO3-Ba(Cu1/3Nb2/3)O3 세라믹의 압전 및 변위 특성)

  • Ryu, Jung-Ho;Jeong, Dae-Yong
    • Korean Journal of Materials Research
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    • v.21 no.11
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    • pp.628-633
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    • 2011
  • Studies on lead-free piezoelectrics have been attractive as means of meeting environmental requirements. We synthesized lead-free piezoelectric $(Bi_{1/2}Na_{1/2})TiO_3-Ba(Cu_{1/3}Nb_{2/3})O_3$ (BNT-BCN) ceramics, and their dielectric, piezoelectric, and strain behavior were characterized. As BCN with a tetragonal phase was incorporated into the rhombohedral BNT lattice, the lattice constant increased. A small amount of BCN increased the density and dielectric constant forming the complete solid solution with BNT. However, BCN above 10 mol% was precipitated into a separate phase, and which was detected with XRD. In addition, EDX measurement revealed that Cu in BCN was not distributed homogeneously but was accumulated in a certain area. A lower density with a large amount of BCN was attributed to the nonsinterable property of BCN with large tetragonaliy. The dielectric constant vs the temperature change and the strain vs the electric field indicated that the ferroelectric property of BNT was diminished and paraelectric behavior was enhanced with the BCN addition. BNT-7.5BCN showed a 0.11% unimorph strain with a 9.0 kV/mm electric field with little hysteresis.

Algorithm for Cross-avoidance Bypass Routing in Numberlink Puzzle (숫자 연결 퍼즐에 관한 교차 회피 우회 경로 알고리즘)

  • Sang-Un Lee
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.24 no.3
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    • pp.95-101
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    • 2024
  • The numberlink puzzle(NLP), which non-crossings with other numbers of connection in connecting lines through empty cells between a given pair of numbers, is an NP-complete problem with no known way to solve the puzzle in polynomial time. Until now, arbitrary numbers have been selected and puzzles have been solved using trial-and-error methods. This paper converts empty cells into vertices in lattice graphs connected by edge between adjacent cells for a given problem. Next, a straight line was drawn between the pairs of numbers and divided into groups of numbers where crossing occurred. A bypass route was established to avoid intersection in the cross-number group. Applying the proposed algorithm to 18 benchmarking data showed that the puzzle could be solved with a linear time complexity of O(n) for all data.

Analysis of the CREOLE experiment on the reactivity temperature coefficient of the UO2 light water moderated lattices using Monte Carlo transport calculations and ENDF/B-VII.1 nuclear data library

  • El Ouahdani, S.;Erradi, L.;Boukhal, H.;Chakir, E.;El Bardouni, T.;Boulaich, Y.;Ahmed, A.
    • Nuclear Engineering and Technology
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    • v.52 no.6
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    • pp.1120-1130
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    • 2020
  • The CREOLE experiment performed In the EOLE critical facility located In the Nuclear Center of CADARACHE - CEA have allowed us to get interesting and complete experimental information on the temperature effects in the light water reactor lattices. To analyze these experiments with accuracy an elaborate calculation scheme using the Monte Carlo method implemented in the MCNP6.1 code and the ENDF/B-VII.1 cross section library has been developed. We have used the ENDF/B-VII.1 data provided with the MCNP6.1.1 version in ACE format and the Makxsf utility to handle the data in the specific temperatures not available in the MCNP6.1.1 original library. The main purpose of this analysis is the qualification of the ENDF/B-VII.1 nuclear data for the prediction of the Reactivity Temperature Coefficient while ensuring the ability of the MCNP6.1 system to model such a complex experiment as CREOLE. We have analyzed the case of UO2 lattice with 1166 ppm of boron in ordinary water moderator in specified temperatures. A detailed comparison of the calculated effective multiplication factors with the reference ones [1] in room temperature presented in this work shows a good agreement demonstrating the validation of our 3D calculation model. The discrepancies between calculations and the differential measurements of the Reactivity Temperature Coefficient for the analyzed configuration are relatively small: the maximum discrepancy doesn't exceed 1,1 pcm/℃. In addition to the analysis of direct differential measurements of the reactivity temperature coefficient performed in the poisoned UO2 lattice configuration, we have also analyzed integral measurements in UO2 clean lattice configuration using equivalency of the integral temperature reactivity worth with the driver core fuel reactivity worth and soluble boron reactivity worth. In this case both of the ENDF/B-VII.1 and JENDL.4 libraries were used in our analysis and the obtained results are very similar.

Loadability Analysis of Modular Fixtures based on a Configuration Space Approach (형상공간 접근 방식에 기반한 모듈식 고정쇠의 적재가능성 분석)

  • 유견아
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.5
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    • pp.398-406
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    • 2003
  • In modular fixturing systems, a given part or a subassembly is fixed by placing fixture elements such as locators and clamps adequately on a plate with a lattice of holes. It is known that the minimal number of point contacts to restrict translational and rotational motions on a plane is four and the type of three locators and a clamp(3L/1C) is the minimal future. Brost and Goldberg developed the complete algorithm to automatically synthesize 3L/1C types of fixtures which satisfy the condition of form closure. Due to the nature of the fixture, the clearance between the fixture and the part is extremely small. It is hard to load the part repeatedly and accurately for human as well as for robot. However the condition of loadability has not been taken into account in the B&G algorithm. In this paper, a new method to decide a given fixture to be loadable by using configuration space is proposed. A method to plan for a part to be loaded by using compliance safely even in the presence of control and sensing uncertainty is proposed is well.

Field measurements of wind-induced transmission tower foundation loads

  • Savory, E.;Parke, G.A.R.;Disney, P.;Toy, N.;Zeinoddini, M.
    • Wind and Structures
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    • v.1 no.2
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    • pp.183-199
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    • 1998
  • This paper discusses some of the findings arising from long-term monitoring of the wind effects on a transmission tower located on an exposed site in South-West England. Site wind speeds have been measured, together with the foundation loads at the base of each of the four legs. The results show good correlation between the wind speeds and leg strains (loads) for a given wind direction, as expected, for wind speeds in excess of 10 m/s. Comparisons between the measured strains and those determined from the UK Code of Practice for lattice towers (BS8100), for the same wind speed and direction, show that the Code over-estimates most of the measured foundation loads by a moderate amount of about 14% at the higher wind speeds. This tends to confirm the validity of the Code for assessing design foundation loads. A finite element analysis model has been used to examine the dynamic behaviour of the tower and conductor system. This shows that, in the absence of the conductor, the tower alone has similar natural frequencies of approximately 2.2 Hz in the both the first (transversal) and second (longitudinal) modes, whilst for the complete system and conductor oscillations dominate, giving similar frequencies of approximately 0.1 Hz for both the first and second modes.

Preparation of Ultrafine Mullite Powder from Metal Alkoxides (금속 알콕사이드로부터 Mullite 초미분체의 제조)

  • Yim, Going;Yim, Chai-Suk;Kim, Young-Ho
    • Korean Journal of Materials Research
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    • v.16 no.12
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    • pp.719-724
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    • 2006
  • Ultrafine mullite powder was prepared from aluminium-secbutoxide and tetraethyl orthosilicate(TEOS) in the molar $Al_2O_3/SiO_2$=3/2. Sol-gel method by partial hydrolysis technique, as it were, first, TEOS was partially hydrolysized and then mixed with Al-secbutoxide for complete hydrolysis was used. X-ray diffraction, infrared spectroscopy and transmission electron microscopy, etc. confirmed that the mullite powder prepared by this method is in the stoichiometric $Al_2O_3/SiO_2$ ratio. Al-Si spinel was formed at $980^{\circ}C$ and ultrafine mullite powder with about 20 nm particle size was obtained above $1,200^{\circ}C$. Also mullite powders calcined at $1,600^{\circ}C$ had a stoichiometric composition, $3Al_2O_3{\cdot}2SiO_2$ and the lattice constants of the mullite powders calcined above $1,200^{\circ}C$ were almost coincided with theoretical values.

Neutron imaging for metallurgical characteristics of iron products manufactured with ancient Korean iron making techniques

  • Cho, Sungmo;Kim, Jongyul;Kim, TaeJoo;Sato, Hirotaka;Huh, Ilkwon;Cho, Namchul
    • Nuclear Engineering and Technology
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    • v.53 no.5
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    • pp.1619-1625
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    • 2021
  • This paper demonstrates the possible nondestructive analysis of iron artifacts' metallurgical characteristics using neutron imaging. Ancient kingdoms of the Korean Peninsula used a direct smelting process for ore smelting and iron bloom production; however, the use of iron blooms was difficult because of their low strength and purity. For reinforcement, iron ingots were produced through refining and forge welding, which then underwent various processes to create different iron goods. To demonstrate the potential analysis using neutron imaging, while ensuring artifacts' safety, a sand iron ingot (SI-I) produced using ancient traditional iron making techniques and a sand iron knife (SI-K) made of SI-I were selected. SI-I was cut into 9 cm2, whereas the entirety of SI-K was preserved for analysis. SI-I was found to have an average grain size of 3 ㎛, with observed α-Fe (ferrite) and pearlite with a body-centered cubic (BCC) lattice structure. SI-K had a grain size of 1-3 ㎛, α-Ferrite on its backside, and martensite with a body-centered tetragonal (BCT) structure on its blade. Results show that the sample's metallurgical characteristics can be identified through neutron imaging only, without losing any part of the valuable artifacts, indicating applicability to cultural artifacts requiring complete preservation.