• Journal of the Korean Mathematical Society
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• v.47 no.6
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• pp.1197-1222
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• 2010

There is a well-known classical reduction formula by Griffiths and Harris for Littlewood-Richardson coefficients, which reduces one part from each partition. In this article, we consider an extension of the reduction formula reducing two parts from each partition. This extension is a special case of the factorization theorem of Littlewood-Richardson coefficients by King, Tollu, and Toumazet (the KTT theorem). This case of the KTT factorization theorem is of particular interest, because, in this case, the KTT theorem is simply a reduction formula reducing two parts from each partition. A bijective proof using tableaux of this reduction formula is given in this paper while the KTT theorem is proved using hives.

• The Korea Journal of Herbology
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• v.26 no.2
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• pp.59-66
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• 2011

Objectives : The goal of this study was to investigate the antidepressant effects of Mixture of Lycii Radicis Cortex and Moutan Cortex on the change of HPA-Axis and Catecholamic system. Methods : We were performed the Forced Swimming Test. The expressions of Corticotropin-Releasing Factor (CRF) and c-Fos at paraventricular nucleus (PVN), and tyrosine hydroxylase (TH) at ventral tegmental area (VTA) and locus coeruleus (LC) were evaluated by immunohistochemical method. Results : The duration of immobility in the Forced Swimming Test was significantly decreased in A100, A400(p<0.05~p<0.01). CRF expressions at PVN was significantly decreased in A400(p<0.05).No other group showed significant difference in expression of c-Fos at PVN comparing with control group. TH expressions at VTA was significantly decreased in A100 and A400, respectively(p<0.001). TH expressions at LC was significantly decreased in A100(p<0.01). Conclusions : According to the above results, Mixture of Lycii Radicis Cortex and Moutan Cortex has antidepressant effects via the reduction of CRF expression and the Catecholamine System activity.

• Herbal Formula Science
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• v.18 no.1
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• pp.155-167
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• 2010

Objectives : In order to investigate the antidepressant effects of Forsythiae Fructus(FF), we performed the Forced Swimming Test(FST). Also the expressions of corticotropin-releasing factor (CRF), c-Fos and tyrosine hydroxylase(TH) were measured by immunohistochemical method at paraventricular nucleus(PVN), ventral tegmental area(VTA) and locus coeruleus(LC). Methods : Spraque-Dawley rats were administered FF extract(100 mg/kg, 400 mg/kg) intragastrically three times prior to the FST. Results : The duration of immobility in the FST was significantly decreased in the FF 100 mg/kg, 400 mg/kg groups(p<0.05). The expression of CRF was significantly reduced in the FF 100 mg/kg and 400 mg/kg groups(p<0.001). c-Fos expression was significantly decreased at PVN in the FF 100 mg/kg group(p=0.069). TH expression at VTA was significantly increased in the FF 100 mg/kg and 400 mg/kg groups(p<0.05). TH expression at LC was not significantly changed(p=0.346). Conclusion : According to the results, it can be suggested that Forsythiae Fructus has antidepressant effect via the decreased immobility through the reduction of CRF and c-Fos expression at PVN.

• The Korea Journal of Herbology
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• v.24 no.1
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• pp.141-150
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• 2009

Objectives : The investigation of the antidepressant effects of Citri Reticulatae Viride Pericarpium (CR) Methods : we performed the forced swimming test. Also the expression of Tyrosine Hydroxylase (TH) was measured with immunohistochemical method at the Ventral Tegmental area (VTA), Locus coeruleus (LC). The Adrenocorticotropic Hormone (ACTH) level was measured in plasma. Results: 1. The duration of immobility in the forced swimming test was significantly decreased in the CR 100 mg/kg, CR 400 mg/kg groups, comparing with the control group (p < 0.05, p < 0.001). 2. TH expressions in the VTA, LC were significantly reduced in the CR 100mg/kg and CR 400mg/kg treated group, comparing with the control group (p < 0.05, p < 0.001). 3. ACTH expression in plama was significantly reduced in the CR 100 mg/kg treated group, comparing with the control group (p < 0.05). Conclusions : According to the above results, it can be considered that Citri Reticulatae Viride Pericarpium has antidepressant effect through the reduction of TH expression at VTA, LC and ACTH level in plasma.

• Structural Engineering and Mechanics
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• v.84 no.4
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• pp.517-530
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• 2022

In re-assessing the Jacket-type fixed steel structures, the current standards often allow the simplicity of corrosion sections using local buckling or equivalent section approach to applying empirical formulae of frame stress and resistance analyses. However, those approaches can lead to significant errors for non-uniform corroded frames in a specific area, including force distribution, stress, and allowable strength of the tubular section, compared to the actual cases. This paper investigates a suitable approach to determine the actual stress on non-uniform corroded tubular frames under compression through the non-linear ABAQUS model by considering the effect of large deformation on the frame axis and the frame section. There are 3 scenarios of interest. In the 1st and 2nd scenarios with simple corrosion cases, the stress ratios using the numerical model and theoretical formulae correspond to the calculation of allowable strength reduction ratios in standards. However, scenario 3, which describes non-uniform corroded sections based on survey data, provides considerable differences in results. Therefore, it proves the reliable and effective results when using this method to analyze the resistance of the actual corroded section in the Jacket platforms.

• Journal of the Korean Institute of Navigation
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• v.8 no.2
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• pp.1-13
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• 1984

This paper concerns computerization of the altitude correction in the sight reduction process. To obtain observed altitude, the factors such as refraction, parallx, semidiameter, phase etc, are corrected to sextant altitude. The factors are the arguments into the nautical almanac table from which are extracted values to add to or substract from the raw sight to obtain corrected value. If the altitude correction is to be done by sophisticated calculator, each factors must be formulated. The author studies the formulation of above factors, and simply from the date and ephemeris time of the sighting calculate the values of the factors. The calculated values are compared with that from nautical almanac, and it is confirmed that the formulae are practically used.

• Journal of the wind engineering institute of Korea
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• v.22 no.4
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• pp.155-161
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• 2018

In modern society, damage caused by strong winds such as typhoons is expected to increase due to urbanization and global warming. In order to test the reinforcement performance of the newly developed window protection device, two-point force test and uniformly distributed load test were carried out on non-reinforced plate glass. It reinforcement performance of the window protection device was evaluated based on the flexural performance improvement. The analytical performance of the window protection device was evaluated by analysis using differential equations of elastic loading method and deflection curve and Midas-Gen. First, the analytical window protection device was evaluated by formulae derived using differential equations of elastic loading and deflection curve. The validity of the derived formulae investigated by comparing the maximum deflection of the central part of the plate with the experimental value and the theoretical value at maximum load. Then the results were compared with those by finite element FE method using Midas-Gen. Under the experimental conditions, with the window protection device, stress reduction effect up to 40% and deflection reduction up to 71.4% under the same load were obtained. It was also found that it is advantageous to perform the FE analysis using the plate element when the performance is evaluated because the error of FE analysis result using plate elements is far less than that using beam elements.

• Journal of Astronomy and Space Sciences
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• v.22 no.2
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• pp.89-112
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• 2005

We determine the rotation velocities of 108 spiral and irregular galaxies (XV-Sample) from first-order rotation curves from position-velocity maps, based on short 21-cm observations with the Westerbork Synthesis Radio Telescope (WSRT). To test the usual random motion corrections, we compare the global HI linewidths and the rotation velocities, obtained from kinematical fits to two-dimensional velocity fields for a sample of 28 galaxies (RC-Sample), and find that the most frequently used correction formulae (Tully & Fouque 1985) are not very satisfactory. The rotation velocity parameter (the random-motion corrected HI linewidth: W?), derived with these corrections, may be statistically equal to two times the true rotation velocity, but in individual cases the differences can be large. We analyse, for both RC- and XV-Samples, the dependence of the slope of, and scatter in the Tully-Fisher relation on the definition of the rotation velocity parameters- For the RC-Sample, we find that the scatter in the Tully-Fisher relation can be reduced considerably when the rotation velocities derived from rotation curves are used instead of the random-motion corrected global H I linewidths. No such reduction in the scatter is seen for XV-Sample. We conclude that the reduction of the scatter in the Tully-Fisher relation seems to be related to the use of two-dimensional velocity information: accurate rotation velocity and kinematical inclination.

• Structural Engineering and Mechanics
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• v.30 no.4
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• pp.445-466
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• 2008

This paper presents a novel structural damage detection method with a new damage index based on the statistical moments of dynamic responses of a structure under a random excitation. After a brief introduction to statistical moment theory, the principle of the new method is put forward in terms of a single-degree-of-freedom (SDOF) system. The sensitivity of statistical moment to structural damage is discussed for various types of structural responses and different orders of statistical moment. The formulae for statistical moment-based damage detection are derived. The effect of measurement noise on damage detection is ascertained. The new damage index and the proposed statistical moment-based damage detection method are then extended to multi-degree-of-freedom (MDOF) systems with resort to the leastsquares method. As numerical studies, the proposed method is applied to both single and multi-story shear buildings. Numerical results show that the fourth-order statistical moment of story drifts is a more sensitive indicator to structural stiffness reduction than the natural frequencies, the second order moment of story drift, and the fourth-order moments of velocity and acceleration responses of the shear building. The fourth-order statistical moment of story drifts can be used to accurately identify both location and severity of structural stiffness reduction of the shear building. Furthermore, a significant advantage of the proposed damage detection method lies in that it is insensitive to measurement noise.

• Herbal Formula Science
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• v.18 no.1
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• pp.133-144
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• 2010

Object : The effects of Rehmanniae Radix(RR) on HPA Axis system and Catecholaminergic system was investigated. Methods : we performed the Forced Swimming Test(FST). Also the expression of Corticotropin -Releasing Factor(CRF), c-Fos and Tyrosine Hydorxylase(TH) was measured by immunohistochemical method at Paraventricular Nucleus(PVN), Locus Coeruleus(LC) and Ventral Tegmental Area(VTA). Results : 1. The duration of immobility in the Forced Swimming Test was significantly decreased in the Rehmanniae Radix 400 mg/kg groups in comparison with the control group(p<0.05). 2. Comparing to the control group, CRF expression was significantly decreased in the Rehmanniae Radix 400 mg/kg treated group in comparison with the control group(p<0.01). 3. c-Fos expression was significantly decreased at PVN in the Rehmanniae Radix 100 mg/kg treated group in comparison with the control group(p<0.01). 4. TH expression was significantly increased at LC in the Rehmanniae Radix 100 mg/kg and 400 mg/kg treated group in comparison with the control group(p<0.001). 5. TH expression was significantly decreased at VTA in the Rehmanniae Radix 100 mg/kg and 400 mg/kg treated group in comparison with the control group(p<0.001). Conclusion : According to the results, it can be considered that Rehmanniae Radix has antidepressant effect by showing the reduction of immobility in FST through the decreased expression of CRF, c-Fos in PVN and TH in VTA.