During the last decade, several papers have focused on linear q-difference equations of the form ${\sum}^n_{j=0}a_j(z)f(q^jz)=a_{n+1}(z)$ with entire or meromorphic coefficients. A tool for studying these equations is a q-difference analogue of the lemma on the logarithmic derivative, valid for meromorphic functions of finite logarithmic order ${\rho}_{log}$. It is shown, under certain assumptions, that ${\rho}_{log}(f)$ = max${{\rho}_{log}(a_j)}$ + 1. Moreover, it is illustrated that a q-Casorati determinant plays a similar role in the theory of linear q-difference equations as a Wronskian determinant in the theory of linear differential equations. As a consequence of the main results, it follows that the q-gamma function and the q-exponential functions all have logarithmic order two.
Hahn difference operator $D_{q,{\omega}}$ which is defined by $$D_{q,{\omega}}g(t)=\{{\frac{g(gt+{\omega})-g(t)}{t(g-1)+{\omega}}},{\hfill{20}}\text{if }t{\neq}{\theta}:={\frac{\omega}{1-q}},\\g^{\prime}({\theta}),{\hfill{83}}\text{if }t={\theta}$$ received a lot of interest from many researchers due to its applications in constructing families of orthogonal polynomials and in some approximation problems. In this paper, we investigate sufficient conditions for stability of the abstract linear Hahn difference equations of the form $$D_{q,{\omega}}x(t)=A(t)x(t)+f(t),\;t{\in}I$$, and $$D^2{q,{\omega}}x(t)+A(t)D_{q,{\omega}}x(t)+R(t)x(t)=f(t),\;t{\in}I$$, where $A,R:I{\rightarrow}{\mathbb{X}}$, and $f:I{\rightarrow}{\mathbb{X}}$. Here ${\mathbb{X}}$ is a Banach algebra with a unit element e and I is an interval of ${\mathbb{R}}$ containing ${\theta}$.
The goal of this dissertation is to analyze various Romantic styles appearing in modern fashion based upon the 'Difference' theory developed by Gilles Deleuze. A new framework for analyzing the changes of dress style based upon the 'Difference' theory derived from Deleuze's theory and from his interpretations of paintings was developed. The characteristics that represent 'difference' in change of dress style are deformation and hybridization. They are derived from the Deleuze's interpretations of 'difference' represented in the paintings by Bacon. The aesthetic values of the Romantic style in the 19th century dress are subordination, sensuality, and maternity. And the formative characteristics of the Romantic style dress are suppression of body, fixed form, volume, and ornamentation. The formative characteristics of the Romantic style that have appeared since 1980s is analyzed according to deformation and hybridization and the results are as follows: first, deformation caused by exaggeration or emphasis in the modern Romantic fashion creates changeability of the form, destruction of the 19th century style, volume, and ornamentation. Second, hybridization by combining heterogeneous characteristic between times and genders (for example, the 19th century and modern times or masculinity and femininity) frees body from the dress and changes the dress silhouettes and ornamentation. Thus totally new and different Romantic style is created. The Romantic style in modern fashion changed into the appropriate style to the modern society under various conditions such as designer's will, postmodernism, changes of femininity and technology. It can be said that this is an example of the Deleuze's 'becoming' theory.
This study was to investigate the perception about the popularization of temple food, known as health food and adult disease prevention food as an object of total 248 residents in Youngnam region. From the result of this research above, it may be summed up as follows. This study has found out that the advantages of temple food showed the statistical significant difference according to the gender, age, and size of family (p<0.01). The reason 'because of health food' (66.7%) had such high percentage. The necessity of popularization of temple food had big difference according to the gender and age (p<0.01). In addition, this study has shown the statistical significant difference in the cooking form for popularization by age, and future improvement for popularization by age and size of family (p<0.001). And, this study has found out that the 'traditional way as it is' (57.3%) was high in the cooking form, and 'use of various materials' (27.4%) in the improvement. Furthermore, the necessity of using meat for temple food had significant difference according to the gender and age, and 'need' (33.9%) showed rather higher tendency. The necessity of using osinchae, five forbidden pungent roots like garlic, green onions, Korean leeks, wild chives, and asafetida had significant difference according to the gender, age and size of family (p<0.05, P<0.001). The 'need' (61.3%) was considerably high. Based on the above results, general customers thought that the need for popularization of temple food and use of osinchae was very positive.
The Arisaema robustum, perennial non-stem herb, population in the temperate forest of Sanseong-ri, Joongbu-myeon, Kyonggi Province was studied for leaf pattern and leaf growth from 1993 to 1995. The area of each side leaflet was larger than that of the apical leaflet in 3-leaflet form plants. But there was no significant difference among the leaflets (apical, 1st side and 2nd side leaflet) in t-testing of the 5-leaflet form plants. The specific leaf area (SLA) of the 3-leaflet form plant was greater than that of the 5-leaflet form plant, and the difference was significant at 0.1%. But differences of SLA value among the leafleats of the same leaflet form plants were minor. The area of leaflets or total leaf area was inversely proportioned to the their SLA values. Especially, the correlation coefficients (CC) between leaf area and SLA in apical leaflets and side leaflets of the 3-leaflet form plant compared to the 1st side leaflets of the 5-leaflet form plants were significant at the level of 1%. The differences between two sides in the dry weight and area of leaflets starting from the apical leaflets were about 5%. The CC values between attributes of the petiole (length and dry weight) and those of leaf blades (dry weight, leaf area and SLA) were high and significant at a 1% level. Especially, The CC value between the dry weight of the petioles and that of the leaf blades was higher than any others (r=0.952). The morphologies of the leaf margins were entire, medium serrate and serrate, and the same plant showed the same type from year to year. The plants usually had one leaf and occasionally 2 leaves. 1-leaf plants usually had 3 or 5 leaflets and occasionally 2 or 4 leaflets. Each year, the ration of individuals having the same number of leaflets was 72%, and that of individuals having a different number of leaflets was 27.54% (an increase of 20.4% and a decrease of 7.1% respectively). In the individuals increasing in the number of leaflets, the ration of individuals shifting from the 3-leaflet from to the 5-leaflet form was 14%. The increase ration of leaf area per individual a year was 37%, and the increase ratios of the plants increasing in leaflets were 60-70% regardiness of leaflet increase. The ratios of leaflet length/breadth were about 1-2, and the variations of those were 0.182-0.286 each year (12-20%).
Journal of the korean academy of Pediatric Dentistry
/
v.34
no.4
/
pp.590-598
/
2007
Syrup form medicines which children commonly take contains sugar as sweeteners. Sugar, low endogenous pH, high acidity, mucosity and low concentrations of ions including those of calcium, fluoride, and phosphate in their composition, they can be cause of caries and erosion. Not only the properties found in such medicines, but also other factors such as high frequency of ingestion, bedtime consumption, and the collateral effect of a reduction in salivary flow, poor oral hygiene of sick children may also contribute to the risk. The other side, parents rarely recognize these risk, and medical experts also easily overlook. The purpose of this study was to investigate the pH level of some syrup form medicines which are frequently administered by infants and young children, and their effects on the changes of plaque pH when rinsing with them. And we compared the salivary pH change induced by rinsing with Cough-syrup only and rinsing with Cough-syrup followed by water. The results were as follows : 1. The average pH of syrup form medicines which were prescribed in Pusan National University Hospital and several OTC syrup form medicines was pH $4.7{\pm}0.94$, within the range of pH 3.0 to 6.8. 2. The plaque pH decreased rapidly below pH 5.5 after rinsing with the syrup form medicines which were selected for the test and there was no statistically significant difference in the of plaque pH change between syrup form medicines except COLDI(p>0.05). 3. There was statistically significant difference in salivary pH change between rinsing with Coughsyrup only and rinsing with water after Cough-syrup(p<0.05).
Kim, Woo-Taek;Cha, Yong-Doo;Oh, Se-Jong;Park, Sang-Soo;Kim, Hyun-Woo;Park, Yang-Ho;Park, Jun-Woo;Rhee, Gun-Joo
Journal of the Korean Association of Oral and Maxillofacial Surgeons
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v.27
no.2
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pp.111-117
/
2001
There are three designs of thread form in screw type implants: V-thread, Reverse buttress thread and Square thread. The purpose of this study was to find out how thread form designs have an influence on the equivalent stress, equivalent strain, maximum shear stress and maximum shear strain and which design of thread form generates more maximum equivalent stress and strain. 3-D finite element analysis was used to evaluate the stress and strain patterns of three tread types. The results of this study were as follow. 1. Under the 200N of axial load, the value of maximum equivalent stress is smallest in square thread and there is no significant difference between that of V thread and reverse buttress thread. 2. Under the 200N of axial load, the value of maximum equivalent strain is largest in V thread and smallest in square thread. 3. Under the 200N of axial load, the value of maximum shear stress is smallest in square thread and there is no significant difference between that of V thread and reverse buttress thread. 4. Under the 200N of axial load, the value of maximum equivalent strain is largest in V thread and there is no significant difference between that of square thread and reverse buttress thread. 5. Above results show that the square thread has special advantages in stress and strain compared with other thread types, especially in shear stess which is most determinant to implant-bone interface. Considering the superior biomechanical properties of square form implant, we presume that square form implant has better clinical results than the other types of implants in the same clinical conditions.
Objectives : Paemo is a phlegm-resolving drug with cold properties and classified 5 kinds which come from 11 species of original plant. All the more, according to literature record, 20 species of original plant were used. As a natural result, these are easily to confuse and there are a lot of counterfeit product. So we are to present a differential standard of Paemo. Methods : It was planed a differential standard form through outer appearance of the original plant and outer appearance in the form of each medicines which was collected local market or field for 11 species which is listed in Korea or China pharmacopeia. Results : It was possible to distinguish the orignal plant between Fritillaria and Bolbostemma through its stem shape. In Fritillaria of original plant, it was possible to distinguish through its width of leaf, number of leafy bracts, color and position of flower and shape of leaf apex. In outer appearance in the form of each medicines, there are difference in color and texture of medicine between Fritillaria and Bolbostemma and there are difference in size, shape, size of inner and outter fleshy leaf of bulb, pattern of surface and apex of fleshy leaf of bulb among 10 Fritillaria species. Conclusions : This study presents various differences in the outer appearance of the original plant and the outer appearance in the form of each medicines among Paemo. It will be helpful to further applied research.
Water flow into unsaturated soils is most often modeled by Richards equation consisting of the mass conservation law and Darcy's law. Three standard forms of Richards equation are presented as the head (${\Psi}$)-based form, the moisture content (${\theta}$) based form, and the mixed form. Numerical solutions of these partial differential equations with highly nonlinear terms can cause poor results along with significant mass balance errors. The numerical solution based on the mixed form of Richards equation is known that the mass is perfectly conserved without any additional computational efforts. The aim of this study is to develop fully implicit numerical scheme of Richards equation for one-dimensional vertical unsaturated flow in homogeneous soils using the finite difference approximation, and then to perform sensitivity analysis of infiltration to the variations in the unsaturated soil properties and to different soil types.
William Wordsworth's "The Thorn" revolves around the following questions: Who is Martha? Why does she go to the mountain top and repeat her doleful cry? To these questions, it gives us two different kinds of answers; one derives from the villagers, and the other from the narrator. This essay attempts to examine how the answers exemplify two different critical approaches to the problem of community, using Jacques Lacan's account of sexual difference in his seminar on Encore as a guiding thread of analysis. The important thing to retain here is that sexual difference in Lacan's seminar on Encore does not so much indicate biological determinations as two distinct forms of relating to the other which are intimately bound up with the question of how a community is constructed and maintained. The first form, called "masculine," suggests that it is a radical exception to a community that makes possible the community as a field of totality or sameness; the second form, called "feminine," shows that each of the subjects cannot be regarded as a member of a closed community which is guaranteed by the exceptionality, but as an exception that is radically singular. This in turn leads us to consider the possibility that the masculine form has to do with the villagers' effort to distinguish themselves from Martha and the feminine form with the way in which the narrator confronts and represents her. In the course of his formulation of sexuation graph, Lacan stresses that the masculine side must be supplemented by the feminine side, which allows us to elaborate on why, concerning Martha, the narrator does not just keep the completely different position from the villagers'. This is to say that the villagers' representation of Martha as an exception to the community should be supplemented by the narrator's attempt to tell Martha's story as the villagers do and at the same time to capture something of her enigmatic unrepresentability. Bearing in mind Charles Shepherdson's elaboration of traumatic memory, this essay also tries to clarify how the narrator preserves and even transmits something of Martha's truth that is embodied in her uncontrollable and unassimilable cry.
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