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APC: Only $99 Submit 2020 ( 1 ) 2019 ( 25 ) 2018 ( 23 ) 2017 ( 34 ) Search Results: 1 - 10 of 10304 matches for " Yoon Kyung Park " All listed articles are free for downloading (OA Articles)  Page 1 /10304 Display every page 5 10 20 Item  Yoon Kyung Park Advances in Pure Mathematics (APM) , 2013, DOI: 10.4236/apm.2013.32043 Abstract: Let E be an elliptic curve over a given number field . By Mordell’s Theorem, the torsion subgroup of E defined over Q is a finite group. Using Lutz-Nagell Theorem, we explicitly calculate the torsion subgroup E(Q)tors for certain elliptic curves depending on their coefficients.  Abstract and Applied Analysis , 2014, DOI: 10.1155/2014/890973 Abstract: We study the combinatoric convolution sums involving odd divisor functions, their relations to Bernoulli numbers, and some interesting applications. 1. Introduction The Bernoulli polynomials , which are usually defined by the exponential generating function play an important role in different areas of mathematics, including number theory and the theory of finite differences. It is well known that are rational numbers. It can be shown that for and is alternatively positive and negative for even . The are called Bernoulli numbers. Let denote the set of positive integers. Further, let , where . Throughout this paper, we define divisor functions as follows: We also make use of the following convention: Ramanujan [1] proved that using elementary arguments. Let be the complex upper half plane and let be for . Denote by the Dedekind function and by the th coefficient of . Alaca and Williams [2] proved that It turns out that we need not only divisor functions but also the coefficients of certain modular functions. For other divisor functions, Hahn [3] showed that and Glaisher [4–6] extended Besgue’s formula by replacing in the convolution sum in (4) by other sums ; for example, Recently, the combinatorial convolution sum is studied [7–10]. In [10] Williams proved the following. Proposition 1. Let and . Then Cho et al. found out the linear sum for combinatorial convolution sum of in [7]. Proposition 2. For and , one has where Denote by . The generating function ？？of is an even function and is zero for all odd positive integer . The aim of this paper is to study two combinatorial convolution sums of the analogous type of Proposition 2. When we write the convolution sums as linear sum of divisor function, in the result by Williams the coefficients are and ours are . More precisely, we prove the following theorems. Theorem 3. For and , Equation (7) is a special case when for the following theorem because and . Theorem 4. For and , Remark 5. The product of two modular forms is another modular form of bigger weight. The dimension of space of modular forms on is approximately linear for and the space generated by generating functions of divisor functions is clearly 2 as grows. More precisely speaking, for the Eisenstein series and which will be defined in Section 2 where is the space of cusp form of weight on and it is orthogonal complement of？？ in？？ . Since？？ = and = , for suitable constants？？ . On the other hand, Theorems 3 and 4 show that the combinatorial convolution sums are written as only divisor functions; that is, The disappearance of is observed in Examples  Journal of Cosmetics, Dermatological Sciences and Applications (JCDSA) , 2016, DOI: 10.4236/jcdsa.2016.63011 Abstract: Forsythia fructus has been shown to have antioxidative, anti-inflammatory, antibacterial, anti-aging and whitening effects. Hoechunyangkyeok-san (Forsythia viridissima-prescription) is a traditional herbal medicine, which has been clinically used for treating febrile and inflammatory disorders. This work was carried out to investigate the skin whitening effects of Forsythia viridissima-prescription extract (a hydrolyzed extract of Hoechunyangkyeok-san: SID White HYC) on skin. The effects of SID White HYC were assessed the melanin contents in B161 melanoma cells and the pigmented equivalent with HMB45 and Fontana Masson staining in 3D skin model. Then, we examined the expression of major pigment enzymes regulating melanin synthesis and melanosome transport related proteins in B16F1 cells. SID White HYC significantly inhibited the melanin synthesis (56.7% and 30.6% inhibition at 100 μg/mL, intracellular and secreted, respectively) in B16F1 cells and 3D skin model. In addition, western blotting analysis showed that SID White HYC reduced the expression of melanin synthesis and melanosome transport related proteins in B16F1 cells. In clinical trials, the cream containing 0.05% SID White HYC showed skin depigmentation effect without any irritation. These results suggest that SID White HYC may be useful inhibition of melanogenesis and melanosome transport. Therefore, SID White HYC may have potential as a skin-whitening ingredient in cosmetics.  Physics , 1997, DOI: 10.1063/1.474879 Abstract: We study changes in the chaotic properties of a many-body system undergoing a solid-fluid phase transition. To do this, we compute the temperature dependence of the largest Lyapunov exponents$\lambda_{max}$for both two- and three-dimensional periodic systems of$N$-particles for various densities. The particles interact through a soft-core potential. The two-dimensional system exhibits an apparent second-order phase transition as indicated by a$\lambda$-shaped peak in the specific heat. The first derivative of$\lambda_{max}$with respect to the temperature shows a peak at the same temperature. The three-dimensional system shows jumps, in both system energy and$\lambda_{max}\$, at the same temperature, suggesting a first-order phase transition. Relaxation phenomena in the phase-transition region are analyzed by using the local time averages.
 Case Reports in Orthopedics , 2013, DOI: 10.1155/2013/947121 Abstract: Infection at the pseudoacetabulum in a patient with a high hip dislocation has not been reported previously in the English literature. We report a case of total hip arthroplasty in a 28-year-old female who presented to us with hip pain following debridement of the infected pseudojoint in a case of neglected developmental dysplasia of the hip. The infection was treated with thorough debridement and drainage. However, even after achieving complete infection control, this patient complained of disabling right hip joint pain. Total hip arthroplasty with subtrochanteric osteotomy was performed to relieve the pain and improve gait. After surgery, the patient's symptoms were relieved. We consider that in this case of acute pseudojoint infection simple arthrotomy and debridement combined with irrigation and drainage provide effective treatment. But muscle weakness and more increased joint laxity can cause hip pain even after infection control. So total hip arthroplasty is likely to be necessary after the infection has been controlled in a patient with a highly dislocated hip. 1. Introduction High dislocation of adult hip as sequelae of developmental dysplasia of the hip (DDH) presents with a distorted femoral head located in the pseudoacetabulum and leg length discrepancy [1–4]. Furthermore, contracture and shortening of surrounding neurovascular structures increase the likelihood of injury during surgery [3]. These problems have been frequently discussed, but infection at the pseudoacetabulum in high hip dislocation and its treatment have not been previously reported in the English literature. Here, we report a patient with an acute infection at the pseudoacetabulum with high hip dislocation. After the treatment of the infection, this patient was underwent total hip arthroplasty (THA). The patient agreed that her case data could be submitted for publication. 2. Case Report A 28-year-old woman was transferred to our emergency room for severe right hip pain and a febrile sensation of 5-day duration. A physical examination of the right hip joint revealed swelling, tenderness, and painful range of motion limitation. Radiography showed right hip high dislocation and dysplasia with small femoral canal and head and pseudoacetabular joint (Figure 1(a)). MRI showed inflammatory reaction with joint effusion and synovial thickening with rim enhancement (Figures 1(b) and 1(c)). Her laboratory findings revealed white blood cells (WBCs) 8700/mm3 (neutrophils 83.8%), erythrocyte sedimentation rate (ESR) 93？mm/hr, and C-reactive protein (CRP) 13.45？mg/dL, suggesting the
 计算机科学技术学报 , 2004, Abstract: When designing a multimedia server, several things must be decided: which scheduling scheme to adopt, how to allocate multimedia objects on storage devices, and the round length with which the streams will be serviced. Several problems in the designing of large-scale multimedia servers are addressed, with the following contributions: (1) a striping scheme is proposed that minimizes the number of seeks and hence maximizes the performance; (2) a simple and efficient mechanism is presented to find the optimal striping unit size as well as the optimal round length, which exploits both the characteristics of VBR streams and the situation of resources in the system; and (3) the characteristics and resource requirements of several scheduling schemes are investigated in order to obtain a clear indication as to which scheme shows the best performance in realtime multimedia servicing. Based on our analysis and experimental results, the CSCAN scheme outperforms the other schemes. It is believed that the results are of value in the design of effective large-scale multimedia servers.