• Communications of the Korean Mathematical Society
• /
• v.37 no.4
• /
• pp.1221-1248
• /
• 2022

In this paper we study the theory of knotoids and braidoids and the theory of pseudo knotoids and pseudo braidoids on the torus T. In particular, we introduce the notion of mixed knotoids in S², that generalizes the notion of mixed links in S³, and we present an isotopy theorem for mixed knotoids. We then generalize the Kauffman bracket polynomial, <; >, for mixed knotoids and we present a state sum formula for <; >. We also introduce the notion of mixed pseudo knotoids, that is, multi-knotoids on two components with some missing crossing information. More precisely, we present an isotopy theorem for mixed pseudo knotoids and we extend the Kauffman bracket polynomial for pseudo mixed knotoids. Finally, we introduce the theories of mixed braidoids and mixed pseudo braidoids as counterpart theories of mixed knotoids and mixed pseudo knotoids, respectively. With the use of the L-moves, that we also introduce here for mixed braidoid equivalence, we formulate and prove the analogue of the Alexander and the Markov theorems for mixed knotoids. We also formulate and prove the analogue of the Alexander theorem for mixed pseudo knotoids.

• Journal of Nutrition and Health
• /
• v.29 no.2
• /
• pp.143-152
• /
• 1996

The surveys of food intakes were carried out on 49 healthy infants aged 4-9 months at the first interview and repeated 3 more times at the interval of 2 months by using food diary recorded by their mothers. Of the subjects 12 were breast-fed, 28, formula-fed, and 9, mixed type-fed. Foods introduced first as the weaning food were commercial weaning foods, fruit juices, yoghurt, egg and rice. Supplemental food was introduced at the age of 4 months in 57% of the infants, but it amounted to a significant proportion of overall food consumption from the age of 6 months. The levels of nutrients except energy, iron and niacin were similar or in excess of RDA, and breast-fed infants tended to have lower intakes of energy and protein compared to infants formula-fed or mixed type-fed. Average intakes of vitamin A, vitamin B1, vitamin B2, vitamin C and calcium were above RDA, but iron intake did not meet RDA of infants of all ages. In conclusion, the average status of nutrient intakes of infants was fairly good, however, food consumption besides milk was less in breast-fed infants than in formula-fed infants, and iron status seemed to be poor, Although it is well-known that breast-milk compared to formulas is more beneficial for infants, mothers feeding breast-milk to their infants should be educated for the importance of supplemental food and its practice to support good nutrition.

• Herbal Formula Science
• /
• v.22 no.2
• /
• pp.87-103
• /
• 2014

Objectives : Herbal formulas are complicated to analyze and difficult to compose because of its mixed, complex features. So we discussed about how to compose herbal formulas effective and efficient by analyzing various effectiveness of each herbal extracts. Methods : To evaluate the effectiveness of herbal formula, anti-oxidative and anti-inflammatory effectiveness were mathematically analyzed. DPPH, superoxide anions, Nitric Oxide scavenging activity was measured to evaluate the effectiveness of 7 herbal extracts. And next, cytotoxic activity of extracts on RAW 264.7 cells were measured using MTS assay. To asses anti-inflammatory effect, nitric oxide and $PGE_2$ production were measured. Based on these anti-oxidative and anti-inflammatory experiment result, mathematical analyzation were carried out with constOptm function, and determined efficacy-maximizing ratio. Results : This mathematical analysis based formula showed significantly outstanding effectiveness than other formulae. And estimated tendency of anti-inflammatory effectiveness was matched with real effectiveness. Conclusions : So, mathematical analysis can be available to evaluate and estimate the effectiveness of herbal formulae.

• Korean Journal of Community Nutrition
• /
• v.8 no.3
• /
• pp.288-301
• /
• 2003

In order to obtain baseline data for the development of an educational program on breastfeeding, a survey was carried out to investigate infant feeding practices, the characteristics the subjects have in common, and the factors that influence the feeding methods among women in Seoul and the Chungbuk area. Subjects included 671 lactating mothers who visited public health centers or pediatric clinics between December 1999 and February 2000, and were interviewed using a questionnaire. The results were as follows : With respect to feeding methods, the incidence of breastfeeding, formula feeding, mixed feeding and formula feeding switched from breastfeeding was 20.6%, 29.8%, 11.6%, and 38.0%, respectively. With respect to the characteristics the subjects had in common, the incidence of women who planned their infants' feeding methods before pregnancy, during pregancy, and after delivery was 48.7%, 31.0％, and 20.3%, respectively. The incidence of women who started breastfeeding in the hospital after delivery was 38.8％. About seventy seven percet of the subjects had not previously attended an educational program on breastfeeding, and most of these wanted to participate in the future in an educational program to learn about breastfeeding. Some of the topics they were interested in were“Nutritional Management for Sufficient Breast Milk”(60.3%),“Breast Care”(25.0%), and“Correct Nursing Positions”(9.8%). Most (88.2%) of the women who breastfeed suffered from physical discomforts including discomfort of the waist, and legs and discomfort due to cracked or sore nipples. “Insufficient breast milk”was the main reason for breastfeeding cessation or for switching to formula feeding. With respect to formula feeding practices, the main reasons for selecting a specific brand of formula were“the same brand the hospital used after delivery”(34.3%) and“an advertised brand”(23.3%). The strongest factor for promoting breastfeeding was“the support of husband or parents”, next were “breastfeeding in the hospital after delivery”and“planning to breastfeed before pregnancy”in that order. The characteristics the subjects had in common relating to formula feeding were“mother's job”,“high economic level”,“Caesarian section”and “planning to breastfeed after delivery”. In conclusion, it is recommended that breastfeeding be pro-moted, and educational programs be developed and offered as soon as possible to each group which had unfavorable attitudes toward breastfeeding. In addition, the monitoring and supervision of formula advertisements is required to protect consumers from the adverse effects of exaggerated advertising.

• The Transactions of The Korean Institute of Electrical Engineers
• /
• v.59 no.7
• /
• pp.1226-1231
• /
• 2010

This paper looks at the influence of Financial Transmission Rights (FTRs) on the market value(Social Welfare; SW) in the competitive electricity market. The transmission line constraints make it difficult to compute the Nash Equilibrium (NE) due to causing a mixed strategy NE instead of a pure strategy NE. Computing a mixed strategy is more complicated in a multi-player game. The aim of this paper are to compute a mixed strategy NE and analyze SW in power transaction with FTRs. This paper introduces a formula and a technique for solving NE of multi-player game with FTRs. In addition, it analyzes the influence of holding of FTRs by generation company on SW and it proposes the SW at NE is influenced by Power Transfer Distribution Factor (PTDF) where holder of FTRs are located. The assertion is verified by calculating the mixed strategy utilizing the Cournot model widely used for studies on FTRs.

• Journal of the Korean Geotechnical Society
• /
• v.19 no.6
• /
• pp.7-14
• /
• 2003

In this study, undrained shear test was performed$K_o$ consolidation in order to study the shear strength characteristics of oysters-marine clay mixtures for three mixed ratios(0%, 25% and 50%). And, in order to study shear strength characteristics of oysters-marine clay mixtures, three different effective vertical stresses(200, 300 and 400kPa) were applied for the $K_o$ consolidation tests. In addition three different axial strain rates(0.005%/min, 0.05%/min, 0.5%/min) were applied for the case of effective vertical stress, 300kPa. According to experimental results, the more mixed ratios were increased, the more deviator stress was increased by crushing effect of oysters particles. especially, when effective vertical stress is 300kPa and mixed ratio increase from 25% to 50%, Test shows the increase of shear strength. But axial strain rate was not effect on the undrained shear strength. In the comparison and analysis that are based on the values of tests on the oysters-marine clay mixtures and the Mayne & Bishop's empiric formula, the undrained shear strength ratio shows a similar pattern of the tests. But for the prediction of the coefficient of the pore water pressure, the value of empiric formula shows more overestimated than the values of the tests at 0%, mixture ratio.

• Transactions of The Korea Fluid Power Systems Society
• /
• v.8 no.2
• /
• pp.8-16
• /
• 2011

It is hard and complicated to analytically derive the volumetric-displacement formula of a gerotor pump/motor. Analytical formulas for calculating the volumetric-displacement are derived in this work, which is relatively easy and based upon vane lengths. The vane lengths mean the distances from axis of inner rotor or outer rotor to contact points between inner and outer rotors. Two kinds of formula were studied for two different kinematic motions of rotors. The first one is the case that outer rotor is fixed in space and inner rotor is in mixed motion of planetary revolution and rotation with respect to the spinning axis. And the second is the case that both inner and outer rotors simultaneously rotate. The proposed formula is verified through comparison with volumetric-displacement obtained from numerical CAD calculation.

• Journal of the Mineralogical Society of Korea
• /
• v.25 no.3
• /
• pp.143-153
• /
• 2012

Mica-type minerals (illites) in the shales of the Jigunsan formation at Seokgaejae in Samchuk-City, Gangwon-do are studied using electron probe micro analysis (EPMA). The average chemical formula of the mica-type mineral obtained from the quantitative analysis is $(K_{1.17}Na_{0.04}Ca_{0.01})(Al_{2.80}Mg_{1.17}Fe_{0.78})(Si_{6.34}Al_{1.66})O_{20}(OH)_4$, which shows a chemical formula within the range of illite. These illites so called can be considered as mixed-phases among muscovite, pyrophyllite and chlorite due to the low contents of interlayer cations and high Mg, Fe. The formula of illite is separated into those three minerals and the method for the separation is newly formulated and proposed in this study. From the formula of illite, the content of muscovite is estimated from K (Na and Ca included), the content of chlorite by Mg+Fe, and the rest remains as pyrophyllite. The chemical formula of muscovite can be calculated by subtracting the compositions of pyrophyllite and chlorite from the analyzed composition of illite using an ideal formula for pyrophyllite and analyzed average formula for chlorite. The calculated formula of muscovite is supposed to be stoichiometric in principle. The result of the separation of analyzed illite is 61% muscovite, 27.3% chlorite and 11.7% pyrophyllite and the calculated formula of muscovite after separation is $(K,Na,Ca)_{2.00}Al_{3.69}(Si_{6.75}Al_{1.25})O_{20}(OH)_4$. The calculated formula of muscovite slightly low in Al content can be considered to be reasonable in general when the low content of Al in the rock and the uncertainties of chlorite compositions used in the calculation are counted. This supports that the method of separation proposed in this study is also applicable.

• Korean Journal of Food Science and Technology
• /
• v.38 no.1
• /
• pp.75-81
• /
• 2006

Effects of medicinal herbs and bee propolis on pork quality were assessed using formulae A (control), B (boiling water extraction with propolis), and C (boiling water extraction without propolis). Seasoning sauce was made with medicinal herb, spices, total flavonoid, and soy sauce with/without 0.4% propolis (21.8 mg/g), mixed with pork, and stored at low temperature $(4{\pm}1^{\circ}C)$ for 20 days. In formula B peroxide value and thiobarbituric acid content increased with increasing storage period. Formula B showed highest Volatile Basic Nitrogen (VBN) and lowest microbial counts, followed by formulae C and A, receiving higher scores for taste and fragrance.

• Structural Engineering and Mechanics
• /
• v.26 no.1
• /
• pp.87-97
• /
• 2007

Some mixed mode fracture criterion may be converted in to elliptical or ellipsoidal formula with the aid of mathematical translation. Hence, the crack initiation in mixed mode fracture I+II emanating from notches, has been studied using notched circular ring specimens. On the basis of Irwin (1957) theory, a new criteria in mixed mode fracture I+II, based fracture elliptic criterion and notch stress intensity factors has been developed.