• Journal of applied mathematics & informatics
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• 제33권5_6호
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• pp.739-748
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• 2015

The notion of quasi-lattice implication algebras is a generalization of lattice implication algebras. In this paper, we give an optimized definition of quasi-lattice implication algebra and show that this algebra is a distributive lattice and that this algebra is a lattice implication algebra. Also, we define a congruence relation Φ_F induced by a filter F and show that every congruence relation on a quasi-lattice implication algebra is a congruence relation Φ_F induced by a filter F.

• 충청수학회지
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• 제20권4호
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• pp.401-409
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• 2007

This paper is sequel to [3]. In this paper, we discuss some properties of an algebraic meet-continuous lattice and study a complete lattice which can be embedded into an algebraic meet-continuous lattice.

• International Journal of Railway
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• 제6권4호
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• pp.160-168
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• 2013

A spiral lattice girder-reinforced Bi-block sleeper which has enhanced durability against increasingly growing impact force and vibration by wheel load and improved structural performance while train runs at 350km/h high speed is hereby proposed. The section of a spiral lattice girder has stable and superior structural performance thanks to its confinement effect. To compare and analyze the structural performance of spiral lattice girder-reinforced bi-block sleeper, strain and stress distribution were evaluated after applying same load condition as existing triangular lattice girder-reinforced biblock sleeper, and to compare the structural performance of triangular lattice girder and spiral lattice girder, structural analysis of lattice girder was performed separately. As a result, a spiral lattice girder proved to have had superior structural characteristics to bi-block sleeper, and furthermore as a result of evaluating the fastener interface and constructibility with shape-improved lattice girder, no interference with existing railroad structure was found and in terms of cost efficiency, a spiral lattice girder appeared to be superior to existing lattice girder.

• Journal of the Optical Society of Korea
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• 제18권3호
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• pp.207-216
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• 2014

In this work, we report detailed numerical analysis of the near-elliptic core index-guiding triangular-lattice and square-lattice photonic crystal fiber (PCFs); where we numerically characterize the birefringence, single mode, cut-off behavior and group velocity dispersion and effective area properties. By varying geometry and examining the modal field profile we find that for the same relative values of $d/{\Lambda}$, triangular-lattice PCFs show higher birefringence whereas the square-lattice PCFs show a wider range of single-mode operation. Square-lattice PCF was found to be endlessly single-mode for higher air-filling fraction ($d/{\Lambda}$). Dispersion comparison between the two structures reveal that we need smaller lengths of triangular-lattice PCF for dispersion compensation whereas PCFs with square-lattice with nearer relative dispersion slope (RDS) can better compensate the broadband dispersion. Square-lattice PCFs show zero dispersion wavelength (ZDW) red-shifted, making it preferable for mid-IR supercontinuum generation (SCG) with highly non-linear chalcogenide material. Square-lattice PCFs show higher dispersion slope that leads to compression of the broadband, thus accumulating more power in the pulse. On the other hand, triangular-lattice PCF with flat dispersion profile can generate broader SCG. Square-lattice PCF with low Group Velocity Dispersion (GVD) at the anomalous dispersion corresponds to higher dispersion length ($L_D$) and higher degree of solitonic interaction. The effective area of square-lattice PCF is always greater than its triangular-lattice counterpart making it better suited for high power applications. We have also performed a comparison of the dispersion properties of between the symmetric-core and asymmetric-core triangular-lattice PCF. While we need smaller length of symmetric-core PCF for dispersion compensation, broadband dispersion compensation can be performed with asymmetric-core PCF. Mid-Infrared (IR) SCG can be better performed with asymmetric core PCF with compressed and high power pulse, while wider range of SCG can be performed with symmetric core PCF. Thus, this study will be extremely useful for designing/realizing fiber towards a custom application around these characteristics.

• 대한수학회논문집
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• 제11권3호
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• pp.613-626
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• 1996

This paper is a contribution to the study of the properties of the lattice of all lattice varieties. Among the properties, that of finite base is investigated here. The question whether the join of two finitely based modular lattice varieties is finitely based is investigated under certain conditions.

• 정보보호학회논문지
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• 제14권1호
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• pp.47-57
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• 2004

이 논문에서는 Crypto97에 발표된 잘 알려진 lattice 문제에 기반한 Goldreich-Goldwasser-Halevi(GGH)의 전자 서명을 암호 해독한다. GGH의 서명방법에 선택 평문공격을 수행하고 제안하는 공격방법에 취약함을 보인다. 암호 해독한다. GGH의 서명방법에 선택 평문공격을 수행하고 제안하는 공격방법에 취약함을 보인다. 암호해독 방법에서는 서로 선형 독립적인 n개의 lattice점을 모아서 원래 lattice의 sub-lattice를 생성하는 새로운 basis를 생성한다. 이 sub-lattice가 유효한 서명을 생성하는데 사용될 수 있음을 보인다. 이 공격방법의 유효성을 실험을 통해서 보이고, 마지막으로 비밀키를 생성하는데 사용되는 cube-like parameter가 안정성에 좋지 않은 영향을 미침을 보인다.

• 전자공학회논문지B
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• 제29B권1호
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• pp.26-33
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• 1992

This paper presents lattice structure of bilinear filter and the conversion equations from lattice parameters to direct-form parameters. Billnear models are attractive for adaptive filtering applications because they can approximate a large class of nonlinear systems adequately, and usually with considerable parsimony in the number of coefficients required. The lattice filter formulation transforms the nonlinear filtering problem into an equivalent multichannel linear filtering problem and then uses multichannel lattice filtering algorithms to solve the nonlinear filtering problem. The lattice filters perform a Gram-Schmidt orthogonalization of the input data and have very good easily extended to more general nonlinear output feedback structures.

• Journal of Applied and Pure Mathematics
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• 제5권1_2호
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• pp.1-8
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• 2023

This study is on a Boolean B or Boolean lattice L in abstract algebra with closed binary operation *, complement and distributive properties. Both Binary operations and logic properties dominate this set. A lattice sheds light on binary operations and other algebraic structures. In particular, the construction of the elements of this L set from idempotent elements, our definition of k-order idempotent has led to the expanded definition of the definition of the lattice theory. In addition, a lattice offers clever solutions to vital problems in life with the concept of logic. The restriction on a lattice is clearly also limit such applications. The flexibility of logical theories adds even more vitality to practices. This is the main theme of the study. Therefore, the properties of the set elements resulting from the binary operation force the logic theory. According to the new definition given, some properties, lemmas and theorems of the lattice theory are examined. Examples of different situations are given.

• 한국터널지하공간학회 논문집
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• 제15권3호
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• pp.201-214
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• 2013

격자지보재는 기존의 H형강 지보재를 대체하여 현재 국내의 터널현장에서 널리 사용되고 있다. 그러나 격자지보재는 H형강 지보재에 비하여 강성이 떨어지며 이음부를 연결하는 용접에 만전을 기해야 한다는 단점이 있다. 이러한 문제를 개선하기 위하여 연결용 부재가 추가되고 용접부위를 편평하게 만든 개량형 격자지보재가 국내 기술에 의하여 개발되었다. 본 연구에서는 기존 격자지보와 개량형 격자지보에 대한 실내시험 및 현장계측을 수행하여 개량형 격자지보의 성능을 평가하였다. 실내 압축시험결과에 의하면 개량형 격자지보가 기존 격자지보에 비하여 약 16% 정도 큰 지지하중을 보였다. 현장 계측 결과에 의하면 개량형 격자지보가 기존 격자지보보다 강봉의 휨이 적게 발생하여 터널의 안정성 측면에서 더 우수하였다.

• 한국터널지하공간학회 논문집
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• 제21권6호
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• pp.897-908
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• 2019

본 연구의 목적은 수치해석을 수행하여 고성능 격자지보재(BK-Lattice Girder)의 현장 지지성능을 평가하기 위한 것이다. 고속도로 2차로, 3차로와 4차로 터널 단면에 3가지 형태(50, 70, 95 타입)의 기존 및 고성능 격자지보재를 적용하여 지지성능을 비교하였다. 수치해석은 유한요소방법을 사용하였고 격자지보재는 탄소성 프레임으로 3차원으로 모델링하였다. 지반은 압축만을 받는 스프링으로 모델링하였다. 하중은 터널 단면의 중앙 천정부에 집중하중으로 적용하였다. 수치해석 결과로부터 격자지보재의 항복강도를 결정하여 지지성능을 비교하였다. 50타입의 경우, 고성능 격자지보재는 기존 격자지보재보다 항복강도가 6.7~10.0% 증가하였다. 70타입의 경우, 고성능 격자지보재는 기존 격자지보재보다 항복강도가 12.1~14.9% 증가하였다. 95타입의 경우에도, 고성능 격자지보재는 기존 격자지보재보다 항복강도가 13.3~20.0% 증가하였다. 수치해석을 수행한 결과, 격자지보재만 시공된 경우에 고성능 격자지보재는 기존 격자지보재보다 지지성능이 우수한 것으로 판단되었다.