• Title/Summary/Keyword: alternating group

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MULTIPLICITY-FREE ACTIONS OF THE ALTERNATING GROUPS

  • Balmaceda, Jose Maria P.
    • Journal of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.453-467
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    • 1997
  • A transitive permutation representation of a group G is said to be multiplicity-free if all of its irreducible constituents are distinct. The character corresponding to the action is called the permutation character, given by $(1_H)^G$, where H is the stabilizer of a point. Multiplicity-free permutation characters are of interest in the study of centralizer algebras and distance-transitive graphs, and all finite simple groups are known to have such characters. In this article, we extend to the alternating groups the result of J. Saxl who determined the multiplicity-free permutation representations of the symmetric groups. We classify all subgroups H for which $(1_H)^An, n > 18$, is multiplicity-free.

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Comparison of Regeneration Effects of Direct and Alternating Microcurrent Therapy on Atrophied Calf Muscle in a Rabbit (비복근 위축 토끼 모델에서 직류 및 교류 미세전류의 근육 재생 효과 비교)

  • Kim, Dong Han;Kwon, Dong Rak;Moon, Yong Suk
    • Clinical Pain
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    • v.19 no.2
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    • pp.80-89
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    • 2020
  • Objective: We compared the regenerative effects of microcurrent therapy (MT) according to the type of electric current, which were direct current microcurrent therapy (DCMT) and alternating current microcurrent therapy (ACMT) on atrophied calf muscle in cast-immobilized rabbit. Method: Rabbits were allocated into control group (sham MT), ACMT group, and DCMT group. Before starting treatment, right gastrocnemius (GCM) muscle was immobilized by cast for 2 weeks. Compound muscle action potential of tibial nerve in nerve conduction study, circumference of calf muscle using a ruler, and thickness of medial and lateral GCM muscle measured by ultrasound, cross sectional area (CSA), and proliferating cell nuclear antigen (PCNA) ratios (%) of muscle fibers were measured on the immunohistochemical analysis. Results: The mean atrophic changes (%) in right medial and lateral GCM muscle thickness, right calf circumference, and amplitude of CMAP of the right tibial nerve in ACMT group and DCMT group were significantly lower than those in control group, respectively (p<0.05). The mean CSA (μm2) of type I and type II and PCNA ratios (%) of medial and lateral GCM muscle fibers in ACMT group and DCMT group were significantly greater than those in control group, respectively (p<0.05). There were no significant differences between the ACMT group and DCMT group at all parameters. Conclusion: This study demonstrated that ACMT and DCMT showed better regeneration effect than sham MT. Microcurrent may be effective in regeneration of atrophied muscle regardless of the type of current.

Etoposide-Cisplatin Alternating with Vinorelbine-Cisplatin Versus Etoposide-Cisplatin Alone in Patients with Extensive Disease Combined with Small Cell Lung Cancer

  • Zhang, Jie;Qi, Hui-Wei;Zheng, Hui;Chen, Mo;Zhu, Jun;Xie, Hui-Kang;Ni, Jian;Xu, Jian-Fang;Zhou, Cai-Cun
    • Asian Pacific Journal of Cancer Prevention
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    • v.15 no.10
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    • pp.4159-4163
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    • 2014
  • Background: The aim of this study was to evaluate the efficacy of alternating etoposide-cisplatin and vinorelbine-cisplatin (EP-NP) compared with an etoposide-cisplatin (EP) regimen for advanced combined small cell carcinomas. Materials and Methods: Histologically confirmed combined small cell carcinoma patients who met the inclusion criteria were randomly assigned (1:1) into either the EP-NP setting (group A) or the EP setting (group B). The primary endpoint was progression-free survival in patients who received at least one dose of treatment. Results: Eighty-two patients entered into this trial, 42 in group A and 40 in group B. The objective response rates in group A and group B were 42.9% and 32.5%, respectively (p=0.334). Survival analysis showed that median progression-free survival was 6.1 months in group A, which was significantly longer than the 4.1 months in group B (p=0.041). However, as to overall survival, no significant difference was found between the two groups (11.0 vs 10.1 months in groups A and B, respectively, p=0.545). No unexpected side effects were observed in either group. Conclusions: The EP-NP regimen for combined small cell carcinomas prolonged progressio-nfree survival compared with the EP regimen. Further clinical investigations are warranted.

Properties of Extremely Low Frequency Electromagnetic Fields and their Effects on Mouse Testicular Germ Cells

  • Kim, Yeon-Sook;Lee, Suk-Keun
    • International Journal of Oral Biology
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    • v.35 no.4
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    • pp.137-144
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    • 2010
  • To evaluate the biohazard properties of an extremely low frequency electromagnetic field (ELF-EMF), we explored the physical properties of the ELF-EMF that generates the electric current induction in the secondary coil from the chamber of a primary solenoid coil. We subsequently explored the biological effects of a strong alternating electromagnetic field (EMF), ranging from 730-960 Gauss, on the mouse testis. Mice were exposed to an alternating EMF field induced by a rectangular electric current at 1, 7, 20, 40, and 80 Hertz, for 1, 3, 5, and 7 hours. The mouse testes were examined for proliferative activity and apoptosis using the in situ terminal deoxynucleotidyl transferase (TdT) method and by immunostaining of proliferating cell nuclear antigen (PCNA), respectively. We found that the electric currentm induction increased in the 6-8 Hertz range, and that exposure to an ELF-EMF induced the apoptosis of mouse spermatocytes. In situ TdT staining was found to be most prominent in 7 Hertz group, and gradually reduced in the 20, 40, and 80 Hertz groups. These data suggest that a strong EMF can induce reproductive cell death within a short time, and the harmful effects of the EMF are maximal at low frequency alternating EMFs.

Compensatory nutrition-Mediated Lactation Potential and Milk Protein Gene Expression in Rats (보상성장에 의한 에너지 섭취량 조절이 흰쥐의 유생산능력과 유단백질 유전자 발현에 미치는 영향)

  • 김상훈
    • Journal of Nutrition and Health
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    • v.33 no.7
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    • pp.697-702
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    • 2000
  • The objective of this study was to determine the extent to which the compensatory nutrition regimen modulates lactation performance and milk protein gene expression in the first and second lactation cycles. Female rats(28 days of age) were assigned to 1)control ad libitum ; 2) stari-step compensatory nutrition(SSCN) regimen an alternating 3-2-3-4-week schedule beginning with an energy restriction diet(40% restriction) for 3 weeks followed by the control diet(ad libitum) for 2 weeks and then alternating another 3-4 week feeding regimen. The SSCN rats were received an overall 20% energy restriction(average from all stair-step periods) compared with the conventionally fed control group. Rats were bred during the first week of the second realimentation. All pups were weaned on day 21 of lactation. About 1 week after weaning all dams were mated for the second pregnancy. Mammary tissues were obtained from pregnant and lactating rats during the first and second lactation cycles. During these lactation cycles the SSCN group had a 11% increase in average lactation performance over that of control. The SSCN group had significantly increased levels of milk protein gene($\alpha$- and $\beta$-casein) expression in mammary tissues during the first lactation cycle compared with those of the control group. During the second lactation period the levels of milk protein gene expression in lactating mammary tissues of the SSCN group were also higher than those of the control group. These results suggest that the effects of compensatory growth imposed at an early age extend to the second lactation cycle with regard to increased lactation performance and milk protein gene expression.

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ADMM for least square problems with pairwise-difference penalties for coefficient grouping

  • Park, Soohee;Shin, Seung Jun
    • Communications for Statistical Applications and Methods
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    • v.29 no.4
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    • pp.441-451
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    • 2022
  • In the era of bigdata, scalability is a crucial issue in learning models. Among many others, the Alternating Direction of Multipliers (ADMM, Boyd et al., 2011) algorithm has gained great popularity in solving large-scale problems efficiently. In this article, we propose applying the ADMM algorithm to solve the least square problem penalized by the pairwise-difference penalty, frequently used to identify group structures among coefficients. ADMM algorithm enables us to solve the high-dimensional problem efficiently in a unified fashion and thus allows us to employ several different types of penalty functions such as LASSO, Elastic Net, SCAD, and MCP for the penalized problem. Additionally, the ADMM algorithm naturally extends the algorithm to distributed computation and real-time updates, both desirable when dealing with large amounts of data.

SIMPLE FORMULATIONS ON CIRCULANT MATRICES WITH ALTERNATING FIBONACCI

  • Sugi Guritman
    • Communications of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.341-354
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    • 2023
  • In this article, an alternating Fibonacci sequence is defined from a second-order linear homogeneous recurrence relation with constant coefficients. Then, the determinant, inverse, and eigenvalues of the circulant matrices with entries in the first row having the formation of the sequence are formulated explicitly in a simple way. In this study, the method for deriving the formulation of the determinant and inverse is simply using traditional elementary row or column operations. For the eigenvalues, the known formulation from the case of general circulant matrices is simplified by considering the specialty of the sequence and using cyclic group properties. We also propose algorithms for the formulation to show how efficient the computations are.

Optimal Timing of Radiotherapy with Alternating/Sequential Radio-Chemotherapy for Limited-stage Small Cell Lung Cancer

  • Wang, Li-Jie;Liu, Xiu-Ju;Guan, Yan;Zhang, Chu-Feng;Wang, Peng;Li, Yan;Guo, Qi-Sen
    • Asian Pacific Journal of Cancer Prevention
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    • v.15 no.14
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    • pp.5697-5699
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    • 2014
  • Objective: To investigate the optimal timing of radiotherapy with alternating/sequential radio-chemotherapy for limited-stage small cell lung cancer (LS-SCLC). Methods: 91 patients with LS-SCLC were retrospectively analyzed and divided into two groups according to the number of chemotherapy cycles before radiotherapy. If the patient received radiotherapy after 3 cycles or fewer cycles of chemotherapy, classification was into the early group, if not, into the late group. All patients received 6 cycles of standard chemotherapy (EP/EC) and conventional radiotherapy (56 gy~ 60 gy/28 f ~30 f). Results: The response rate (RR) of the early and late groups were 85.7% and 81.6%, respectively, with no significant difference (p>0.05). In contrast, the progression-free survival (PFS) in the early group was better than that in the late group (11.8 months vs 9.86 months), and the difference was significant (p<0.05). There was no significant difference between two groups in adverse reactions, which gastrointestinal irritation and bone marrow suppression being the most common (p>0.05). Conclusions: Radiotherapy after 3 cycles or fewer cycles of chemotherapy does not bring significant benefits for RR of patients with LS-SCLC, but it could significantly prolong their PFS without increase in adverse reactions.

THE EFFECT OF OSCILLATING DISTRACTION OSTEOGENESIS ON NEW BONE FORMATION DURING MANDIBULAR DISTRACTION PERIOD IN RABBITS (가토의 하악골에서 골신장기 동안 반복 골신장술이 골형성에 미치는 효과)

  • Kwon, Jun-Kyong;Park, Hong-Ju;Ryu, Sun-Youl
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • v.32 no.3
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    • pp.241-249
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    • 2006
  • Purpose For the reconstruction of craniofacial deformities, the distraction osteogenesis is an useful method which can make new soft tissues as well as new bone. Although the distraction osteogenesis is an effective procedure in quantitative aspects, the new bone formed by this procedure can be coarse in qualitive aspects sometimes. Materials and methods Twelve rabbits, weighing about 2 kg, were included and the prefabricated distraction device were used. After a latency period of 5 days, in the experimental group (n=6), the mandible was distracted at the rate of 1.0 mm/day for 2 days and then compressed with 1.0 mm for the next 3rd day, therefore distracted totally to a length of 1.0 mm for 3 days. This procedure was repeated 5 times and, as a result, the experimental group was distracted to a length of 5.0 mm for 15 days finally. In the control group (n=6), the mandible was distracted totally to a length of 5.0 mm at the rate of 1 mm/day. At 2 weeks and 8 weeks of consolidation in the control group, 3 rabbits in each group were sacrificed and their biopsy specimens from the distracted mandible were taken. Results All animals showed the mandibular elongation clinically and radiographically. Histologically, many blood vessels, osteoblasts and immature bones formed by osteoid deposition were observed in the experimental group at 2 weeks. At 8 weeks, the bony trabeculae were thicker than the ones in the control group and were composed of lamella bones and woven bones in the experimental group. On histomorphometric analysis, the bone deposition area of the distracted site was broader in the experimental group $(273.8{\pm}115.7\;cm^2)$ than the one in the control group $(199.4{\pm}101.4\;cm^2)$. Futhermore, the modified rate of bone deposition area was higher in the experimental group (48${\pm}$20%) than the one in the control group (35${\pm}$18%). However, these data showed no significant differences statistically. Conclusion These results suggest that the distraction osteogenesis by using an alternating distraction/compression protocols is an effective method for increasing new bone formation in distracted areas.