• Proceedings of the Computational Structural Engineering Institute Conference
• /
• 2003.10a
• /
• pp.429-436
• /
• 2003

A new linkage framework between elastic shell element with finite rotation and computar-aided geometric design (CAGD) (or surface is developed in the present study. The framework of shell finite element is based on the generalized curved two-parametric coordinate system. To represent free-form surface, cubic B-spline tensor-product functions are used. Thus the present finite element can be directly linked into the geometric modeling produced by surface generation tool in CAD software. The efficiency and accuracy of the Previously developed linear elements hold for the nonlinear element with finite rotations. To handle the finite rotation behavior of shells, exponential mapping in the SO(3) group is employed to allow the large incremental step size. The integrated frameworks of shell geometric design and nonlinear computational analysis can serve as an efficient tool in shape and topological design of surfaces with large deformations.

• Bulletin of the Korean Mathematical Society
• /
• v.58 no.5
• /
• pp.1209-1219
• /
• 2021

Let G be a topological group with a locally compact and Hausdorff topology. Let ω be a diagonally bounded weight on G. In this paper, (σ, σ)-derivation and (σ, 𝜏)-weak amenability of the Beurling algebra L¹_ω(G) are studied, where σ, 𝜏 are isometric automorphisms of L¹_ω(G). We prove that every continuous (σ, σ)-derivation from L¹_ω(G) into measure algebra M_ω(G) is (σ, σ)-inner and the Beurling algebra L¹_ω(G) is (σ, 𝜏)-weakly amenable.

• The Bulletin of The Korean Astronomical Society
• /
• v.44 no.1
• /
• pp.79.4-79.4
• /
• 2019

We introduce a newly established cosmology research group at the University of Seoul. We also present our recent progress with SDSS Main Galaxy samples and various types of cosmological simulations as follows: (1) A hint for the periodicity of very large-scale structures is found in both SDSS observation and the Horizon Run 4 (HR4) simulation. (2) New galaxy clustering and void finding algorithms, which are thought to be sensitive to the topological shape of galaxy distribution, are developed and tested in both SDSS and HR4 data. (3) Properties such as radial distribution of galaxies or cosmological shock waves are studied in hydrodynamic simulations.

• Communications of the Korean Mathematical Society
• /
• v.39 no.3
• /
• pp.785-802
• /
• 2024

Given M a monoid with a neutral element e. We show that the solutions of d'Alembert's functional equation for n × n matrices Φ(pr, qs) + Φ(sp, rq) = 2Φ(r, s)Φ(p, q), p, q, r, s ∈ M are abelian. Furthermore, we prove under additional assumption that the solutions of the n-dimensional mixed vector-matrix Wilson's functional equation $$\begin{cases}f(pr, qs) + f(sp, rq) = 2\phi(r, s)f(p, q),\\Φ(p, q) = \phi(q, p),{\quad}p, q, r, s {\in} M\end{cases}$$ are abelian. As an application we solve the first functional equation on groups for the particular case of n = 3.

• The Korean Journal of Mycology
• /
• v.43 no.4
• /
• pp.231-238
• /
• 2015

Genome-wide reanalyzed data of 25 Flammulina strains were compared against the reference genome (KACC42780) to establish a genome-wide single nucleotide polymorphism (SNP). The rate of mapping differences between the strains reflected in the strain variation in its result. Genome-wide SNPs distribution divided into types of homozygous SNP and heterozygous SNP moreover all of the strains demonstrated a wide variation in all of the regions. In the further study of topological relationship between the collected strains, phylogenetic tree was separated into 3 major groups. Group I contained F. velutipes var. related strains of ASI 4062, 4148, 4195. Group 2 contained strains that are different species of ASI 4188 F. elastica, ASI 4190 F. fennae, and ASI 4194 F. rossica. The other 19 strains F. velutipes were classified as a single group. However, further experiment to discriminate its genetic relationship between the white group and brown group did not verify its validity. The inferred tree exhibited a phylogenetic relationship between Korea white fruitbody forming strains of ASI 4210, 4166, 4178 and Japan white fruitbody forming strains of ASI 4209, 4167 confirmed to be genetically closely related.

• Journal of KIISE:Information Networking
• /
• v.31 no.3
• /
• pp.335-346
• /
• 2004

In this paper, we present a high-performance fault-tolerant switching networks using a deflection self-routing scheme, and present fault-diagnosis method for the network. We use the facts: 1) Each stage of the Banyan network is arrayed as the sequences of a Cyclic group of SEs. 2) There is the homomorphism between adjacent stages from a view of self-routing, so that all of each Cyclic group is the subgroup of the Cyclic group in the next stage, and there are factor groups due to such subgroup and homomorphism. We provide high-performance fault-tolerant switching networks of which the all links including augmented links are used as the alternate links detouring faulty links. We also present the fault diagnosis scheme for the proposed switching network that provide multiple paths for each input-output pair.

• Journal of Korea Water Resources Association
• /
• v.39 no.10 s.171
• /
• pp.813-822
• /
• 2006

By analyzing the concurrent rainfall data from rainfall gauges positioned in the Youngsan River basin, the areal reduction factors related to the rainfall characteristics of the Youngsan River basin are estimated. The estimated values are compared with the values of the Han River basin, and show that the rate of decrease of the areal reduction factors of the Youngsan River basin are smaller than those of the Han River basin as the basin area is increasing. That is especially true for short-term duration storm events. These findings reveal that the spatial variations in the Youngsan River basin's storms are smaller than the spatial variations of the storms In the Han River basin, due to the size of the two basin areas in addition to the topological characteristics that affect the rainfall distributions.

• Bulletin of the Korean Chemical Society
• /
• v.33 no.3
• /
• pp.855-861
• /
• 2012

A pioneering version of an on-line management system for high-energy molecules (MS-HEMs) was developed by the ADD and BMDRC in Korea. The current system can manage the physicochemical and explosive properties of virtual and existing HEMs. The on-line MS-HEMs consist of three main routines: management, calculation, and search. The management routine contains a user-friendly interface to store and manage molecular structures and other properties of the new HEMs. The calculation routine automatically calculates a number of compositional and topological molecular descriptors when a new HEM is stored in the MS-HEMs. Physical properties, such as the heat of formation and density, can also be calculated using group additivity methods. In addition, the calculation routine for the impact sensitivity can be used to obtain the safety nature of new HEMs. The impact sensitivity was estimated in a knowledge-based manner using in-house neural network code. The search routine enables general users to find an exact HEM and its properties by sketching a 2D chemical structure, or to retrieve HEMs and their properties by giving a range of properties. These on-line MS-HEMs are expected be powerful tool for deriving novel promising HEMs.

• Journal of Korean Society for Quality Management
• /
• v.37 no.3
• /
• pp.39-53
• /
• 2009

This paper suggests a new process structuring method, which we call process modularization, for decomposing and grouping activities in a process. Above all, we propose the concept of a module that is a group of activities positioned on the same flow before and after control constructs. Since activities in a module are relatively strongly interrelated with one another, it is important to take into consideration of these together. A design structure matrix (DSM) is used to structure the process because it has a lot of advantages in process modeling and analysis. We developed two algorithms: the restricted topological sorting (RTS) algorithm for ordering activities and the module finding (MF) algorithm for detecting modules in a process, which utilize the DSM. The suggested approach enables a firm's manager to design and analyze the process effectively. We also developed a supporting tool to accelerate the progress of process modularization. The supporting tool aids the process manager in finding the module and understanding the process structure easily. An illustrative example is addressed to show operations of the suggested approach.

• Ocean and Polar Research
• /
• v.26 no.4
• /
• pp.619-633
• /
• 2004

The composition, structure and some of the features of spatial distribution of fouling communities in the cooling system tunnels of Heat and Power Station Vladivostok City were determined. Three groups of animals, possessing features expressive of topological differentiation as well as categorical differences based on dominant and subdominant species, were clearly distinguished in the fouling community of the water intake tunnel. These are Jassa marmorata on the tunnel vault, Balanus rostratus on the walls, and Mytilus trossulus on the bottom. The group from the tunnel vault should be clearly related to 'physically controlled' communities, whereas the groups from the walls and bottom, being also physically controlled, show many of the features of 'biologically balanced' communities. Thermal treatment of tunnels, performed in summertime, is grossly inefficient, since mytilids continue to settle in September-November as well. In order to prevent intensive settlement of Mytilus trossulus larvae it is recommended that the water intake tunnels integral to the cooling system be placed deeper than 15m.