• The Journal of Engineering Geology
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• v.9 no.2
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• pp.135-145
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• 1999

Dynamic Shear modulus (G) is one of the imfortant dynamic soil properties to estimate the response of soil to dynamic loading. Problems in engineering geo1ogy practice the require the knowledge of soil properties subjected to dynamic loadings include soil-structure interaction during earthquakes, bomb blasts, construction operations, and mining. Although the dynamic shear modulus (G) is a time-dependent property, G change with time is often neglected. In this study, the effect of duration of confinement and its affecting factors (previous stress and strain, particle size and sustained pressure, and plasticity index) on the low-amplitude shear modulus ($G_{max}$) of soils are reviewed, and some empirical correlations based on mean particle diameter and plasticity index are proposed.

• Journal of applied mathematics & informatics
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• v.38 no.1_2
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• pp.189-200
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• 2020

Let G be a simple connected graph with n vertices and m edges. Denote by d₁ ≥ d₂ ≥ ⋯ ≥ d_n > 0 and d(e₁) ≥ d(e₂) ≥ ⋯ ≥ d(e_m) sequences of vertex and edge degrees, respectively. If vertices v_i and v_j are adjacent, we write i ~ j. The general sum-connectivity index is defined as 𝒳_α(G) = ∑_i~j(d_i + d_j)^α, where α is an arbitrary real number. Firstly, we determine a relation between 𝒳_α(G) and 𝒳_α-1(G). Then we use it to obtain some new bounds for 𝒳_α(G).

• Korean Journal of Community Nutrition
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• v.13 no.3
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• pp.323-333
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• 2008

The aim of this study was to measure and compare nutrient intake, anthropometric measurements and serum indices by percent body fat as one of the index of obesity degree in female college students. Additionally we attempted to investigate percentile distribution of fat free mass index (FFMI) and fat mass index (FMI) for developing reference values for these two parameters. The subjects were 91 female college students who were classified to 4 groups according to the percentile of percent body fat (Group1: 25 th < percentile of percent body fat, Group 2 : 25 th ${\le}$ percentile of percent body fat < 50 th, Group 3 : 50 th ${\le}$ percentile of percent body fat < 75 th, Group 4 : percentile of percent body fat ${\ge}$ 75 th). The mean percent body fat and body mass index were 28.2%, $20.5 kg/m^2$ respectively. The mean energy intake was 1707 kcal(81% of KDRIs) and vitamin C, folate, Ca and Zn intake were 73.9%, 54.7%, 79.6%, 97.5% of KDRIs respectively. Most nutrient intake (energy, carbohydrate, cholesterol, fatty acid, Ca, Fe) of G4 was lower than that of G1, G2 and G3. Serum HDL-cholesterol concentration was significantly lower in G4 than G1, G2, G3 and it tended to increase as percent body fat decreased. LDL/HDL, A1 of G4 were significantly the highest among the 4 groups and increased as percent body fat increased. The mean fat free mass index and fat mass index were $14.5 kg/m^2$, $6.0 kg/m^2$ respectively. The criteria of sarcopenic obesity which has been defined as under 25 th percentile of FFMI and below 75 th percentile of FMI were shown $12.8 kg/m^2$, $8.2 kg/m^2$ respectively in this study. In conclusion, we should continue to more systematically research on the studies of new obesity measurement which includes FFMI and FMI as one of the variables. And the public education for weight control that emphasizes both the understanding of body composition and the importance of nutrition balance is also required.

• Journal of applied mathematics & informatics
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• v.19 no.1_2
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• pp.127-133
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• 2005

An f-coloring of a graph G = (V, E) is a coloring of edge set E such that each color appears at each vertex v $\in$ V at most f(v) times. The minimum number of colors needed to f-color G is called the f-chromatic index $\chi'_f(G)$ of G. Any graph G has f-chromatic index equal to ${\Delta}_f(G)\;or\;{\Delta}_f(G)+1,\;where\;{\Delta}_f(G)\;=\;max\{{\lceil}\frac{d(v)}{f(v)}{\rceil}\}$. If $\chi'_f(G)$= ${\Delta}$f(G), then G is of $C_f$ 1 ; otherwise G is of $C_f$ 2. In this paper, the classification problem of complete graphs on f-coloring is solved completely.

• Proceedings of the ESK Conference
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• 1998.04a
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• pp.111-116
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• 1998

This study aims to develop an easy and practical simple heat index (SHI) using climatic parameters. This simple heat index was named as a thermal perception index. Most of thermal indices are difficult to calculate or interpret for most normal person. Newly developed thermal perception index (THI) was used only a few variables for input.

• Korean Journal of Mathematics
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• v.23 no.3
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• pp.401-408
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• 2015

The first and second Zagreb indices of a graph G are defined as $M_1(G)={\sum}_{{\nu}{\in}V}d_G({\nu})^2$ and $M_2(G)={\sum}_{u{\nu}{\in}E(G)}d_G(u)d_G({\nu})$. where $d_G({\nu})$ is the degree of the vertex ${\nu}$. G is called a k-apex tree if k is the smallest integer for which there exists a subset X of V (G) such that ${\mid}X{\mid}$ = k and G-X is a tree. In this paper, we determine the maximum Zagreb indices in the class of all k-apex trees of order n and characterize the corresponding extremal graphs.

• Journal of the korean academy of Pediatric Dentistry
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• v.8 no.1
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• pp.77-88
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• 1981

The purpose of this study was to make a comprehensive study & evaluation of the oral status of mental retarded children. The auther examined intraorally 486 (male; 311, female;175) mental retarded children. The result was as follows; (General mental retarded children means the children who live in their parent's home, & orphan mental retarded children means the children who live in orphanage.) 1. The dft rate was 31.6% in general mental retarded children (G.m.r.c.) & 20.7% in orphan mental retarded children (O. m. r. c.). The dft index was 3.73 in G.m.r.c. & 2.15 in O.m.r.c. 2. The DMFT rate was 24.6% in female G.m.r.c., 16.7% in male G.m.r.c., 12.7% in female O.m.r.c., 8.4% in male O.m.r.c. The DMFT index was 4.94 in female G.m.r.c., 4.01 in male G.m.r.c., 1.40 in male O.m.r.c., 2.75 in female O.m.r.c. 3. The malocclusion prevalence was 57.3%. the class I malocclusion was 14.2% Class II malocclusion 19.3%, Class III malocclusion 23.5%. The children with Down's syndrome had 60.0% of class III malocclusion prevalence. 4. The dental calculus index was 1.97 in male O.m.r.c., 1.81 in female O.m.r.c., 1.30 in male G.m.r.e., 1.13 in female G.m.r.c. 5. The dental plaque index was 3.06 in female G.m.r.c., 3.00 in male Gm.r.e. 2.70 in male O.m.r,c., 2.32 in female O.m.r.c.

• Pediatric Infection and Vaccine
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• v.18 no.2
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• pp.117-123
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• 2011

Purpose : We investigated the change of antibody titer to measles, mumps and rubella according to age after vaccination. Methods : The IgG antibody titers to measles, mumps and rubella were tested on the residual serum from patients aged 7-20 years old after routine laboratory testing in the hospital with informed consent from the parents. Results : Antibody to measles was present in 275 cases out of 408 cases with a positive rate of 67.4%, the mean IgG titer was 2.77${\pm}$1.18 Index. Antibody to mumps was present in 112 cases out of 408 cases with a positive rate of 27.5%, the mean IgG titer was 2.08${\pm}$1.29 Index. Antibody to rubella was present in 367 cases out of 408 cases with a positive rate of 90.0%, the mean IgG titer was 60.46${\pm}$63.47 IU/mL. Conclusion : It is important to maintain a high rate of vaccination coverage in order to prevent an outbreak of measles, mumps, or rubella. It is also important to stress the maintenance of vaccination records for further reference.

• Journal of Forest and Environmental Science
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• v.29 no.4
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• pp.282-291
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• 2013

Rapid loss in viability of neem (Azadirachta indica A. Juss.) seed is a major problem. Present effort was undertaken for developing a set pattern for assessing of viability and vigour in seed of various mother tree age of neem (Age I-06 years, Age II-15 years, Age III-25 years and Age IV->30 years old). Various viability test viz. triphenyle tetrazolium chloride test, electrical conductivity, excised embryo test, and germination test have been performed on seeds obtained from mother tree age classes. Inconsistency was observed with the TTC and EC test in germination of seed in laboratory as well as nursery. While various vigour tests viz. cold test, chemical stress test (methanol stress test), and accelerated ageing test alongwith ageing index, germination test (G%, MGT and GV) and various seedling growth parameters like seedling length (cm), number of leaves, collar diameter (cm), total biomass (g) alongwith mathematical indices i.e. vigour index, sturdiness quotient, volume index, quality index, root shoot ratio in nursery as well have been taken for study and showed better consistency. On the basis present study results of various viability and vigour test indicated that mother tree age class II performed better in comparison to others and it can be recommended for seed collection. Further it is also recommended that viability of neem seed may be assessed using various laboratory tests like excise embryo test and germination test (G%, MGT and GV) and vigour test may be taken preferably by cold germination test, chemical (methanol) stress test, accelerated ageing test in laboratory and germination alongwith various seedling growth parameters seedling length (cm), number of leaves, collar diameter (cm), total biomass (g) alongwith mathematical indices like Vigour Index, Sturdiness quotient, Volume Index, Quality index, root shoot ratio in nursery as discussed in this study.

• Korean Journal of Mathematics
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• v.7 no.1
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• pp.71-77
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• 1999

We show that if the stable rank of $B^{\alpha}$ is one, then the stable rank of B is less than or equal to the order of G for any action of a finite group G. Also we give a short proof to the known fact that if the action of a finite group on a $C^*$-algebra B is saturated then the canonical conditional expectation from B to $B^{\alpha}$ is of index-finite type and the crossed product $C^*$-algebra is isomorphic to the algebra of compact operators on the Hilbert $B^{\alpha}$-module B.