• Journal of the Korean Mathematical Society
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• v.53 no.6
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• pp.1391-1409
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• 2016

In this paper, we investigate a family of holomorphic functions in several complex variables concerning the total derivative (or called radial derivative), and obtain some well-known normality criteria such as the Miranda's theorem, the Marty's theorem and results on the Hayman's conjectures in several complex variables. A high-dimension version of the famous Zalcman's lemma for normal families is also given.

• Proceedings of the KOSOMBE Conference
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• v.1996 no.11
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• pp.251-253
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• 1996

Noninvasive monitoring of total Hemoglobin value is feasible with the use of spectroscopic measurements. As a step toward tile final goal of the development of a noninvasive monitor, the spectra$(400{\sim}800mm)$of EDTA whole blood were obtained along with reference total Hemoglobin values. Under the same condition water spectrum was generated. It was subtracted from each blood sample, and then tile first derivative of each subtracted data was taken by 'approximated first derivative algorithm' with gap (1,6,10,20nm). The correlation was obtained between total Hemoglobin and first valley wavelength of first derivative spectrum (sample number: 93).

• Journal of the Korean earth science society
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• v.36 no.5
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• pp.437-446
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• 2015

Many edge detection methods, based on horizontal and vertical derivatives, have been introduced to provide us with intuitive information about the horizontal distribution of a subsurface anomalous body. Understanding the characteristics of each edge detection method is important for selecting an optimized method. In order to compare the characteristics of the individual methods, this study applied each method to synthetic magnetic data created using homogeneous prisms with different sizes, the numbers of bodies, and spacings between them. Seven edge detection methods were comprehensively and quantitatively analyzed: the total horizontal derivative (HD), the vertical derivative (VD), the 3D analytic signal (AS), the title derivative (TD), the theta map (TM), the horizontal derivative of tilt angle (HTD), and the normalized total horizontal derivative (NHD). HD and VD showed average good performance for a single-body model, but failed to detect multiple bodies. AS traced the edge for a single-body model comparatively well, but it was unable to detect an angulated corner and multiple bodies at the same time. TD and TM performed well in delineating the edges of shallower and larger bodies, but they showed relatively poor performance for deeper and smaller bodies. In contrast, they had a significant advantage in detecting the edges of multiple bodies. HTD showed poor performance in tracing close bodies since it was sensitive to an interference effect. NHD showed great performance under an appropriate window.

• Bulletin of the Korean Chemical Society
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• v.33 no.8
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• pp.2647-2650
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• 2012

The total synthesis of biologically interesting ${\beta}$-hydroxypyranochalcones, purpurenone (1), its derivative 2, praecansone B (3), and pongapinone A (4) has been accomplished starting from commercially available 2,4-dihydroxyacetophenone or 6-methoxy-2,4-dihydroxyacetophenone in 3 steps by a convergent strategy through benzopyran formations, O-methylations, and coupling reactions.

• Toxicological Research
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• v.14 no.4
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• pp.535-539
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• 1998

The present study was designed to investigate the serum cholesterol lowering effect oj the phytosterol derivative (LPSS) on high cholesterol (HC) diet-induced hypercholesterolemia in male weaning Sprague-Dawley (SD) rats. Rats were fed with HC diet containing 1 % cholesterol and 0.5% cholic acid for 1 week. After 1 week, the LPSS oil suspension (0.32 g/kg B. W.) was orally administered to the rats fed with either basal diet or HC diet groups for 7 days. In addition, the LPSS powder (0.14%) mixed with basal diet or HC diet was Jed to the rats for 7 days. Serum total cholesterol and LDL-cholesterol contents were not altered by administration of the LPSS oil suspension with basal diet. However, they were significantly decreased by administration of the LPSS oil suspension with HC diet at day 14. Also, they were significantly decreased by the LPSS powder mixed with basal diet or HC diet at day 9, 11, 14. HDL-cholesterol contents were not altered by the LPSS oil suspension or LPSS powder. These results indicated that the phytosterol derivative(LPSS) might decrease serum total cholesterol and LDL-cholesterol contents in rats.

• Journal of Acupuncture Research
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• v.19 no.3
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• pp.126-137
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• 2002

Objective : There is accumulating data that cardiovascular diseases, including hypertension, cerebro-vascular accident, coronary heart disease, relate to atherosclerotic changes. Increased serum levels of lipids could play a role in these circumstances. the SDPTG(the second derivative of photoplethysmogram waveform) is noninvasive methods for evaluating the pulse wave and is correlated with age and other risk factors for atherosclerosis. Methods : To study the effects of serum lipid levels on the SDPTG in the middle-age adults, data on serum lipid levels and the SDPTG were collected in 80 healthy middle age with varying serum lipid concentrations. Biological vascular age was assessed using the SDPTG. the SDPTG consists of an a, b, c, and d wave in systole and an e wave in diastole; an SDPTG aging index(Al) was calculated as (b-c-d-e)/a. Results : Serum triglyceride, total cholesterol, total lipid, phospholipid, HDL cholesterol levels were respectively and significantly correlated with SDPTG Al. Serum lipid levels and blood pressure are age-dependent and the SDPTG is blood pressure-dependent. Restricting analysis to age and blood pressure yield strong positive correlations between serum triglyceride, total lipid levels and SDPTG Al, but no correlations between serum total cholesterol, phospholipid levels and SDPTG Al. Conclusion : The results of this study suggest that preventive acupuncture programs or herbal medications for reducing serum lipid, especially triglyceride, levels in middle-age should include a evaluation of biological vascular aging with the second derivative of photoplethysmogram waveform.

• Archives of Pharmacal Research
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• v.13 no.2
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• pp.174-179
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• 1990

Second derivative (D2) spectrometry using ion-pair extraction technique was development for the determination of total glycyrrhetic acid (GA) in Glycyrrhizae Radix, Glycyr-rhizin (G) obtained from Glycyrrhizae Radix was hydrolyzed into GA in 2 N-HCI and methanol (1:1) and extracted from aqueous phase in the form of an ion-pair complex with tetrapentylammonium bromide (TPA) as a counter ion. Maximum D2 amplitude (Z value) was obtained when 1000-fold or greater molar ratio of TPA was used at pH 11. Reaction an effective extraction solvent of the ion-pair complex. The linearity of standard curve of ion-pair GA was obtained in the range of 4.120 $\mu$g/ml as GA. Assayed contents of GA in dry powder by D2 UV spectrometry and HPLC method were 5.31 $\pm$ 0.04% and 5.20 $\pm$ 0.008%, respectively.

• Analytical Science and Technology
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• v.15 no.5
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• pp.445-450
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• 2002

A sensitive gas chromatographic method has been established for the determination of total iodide in seawater as their volatile organic derivative. The method is based on the formation of 4-iodo-2,6-dimethylphenol with 2,6-dimethylphenol in matrix and a single-step extraction of the derivative with ethyl ether, which are then measured by gas chromatography-mass spectrometry (selected ion monitoring). Iodate in sea water was completely reduced to iodide with ascorbic acid and acetic acid. The detection limit was 0.1 ng/mL in seawater and the calibration curve showed good linearity with r=0.9997. The method was sensitive, reproducible and simple enough to permit the reliable routine analysis of total iodide in seawater. Total iodide in sea water was found about 30 ng/ml.

• YAKHAK HOEJI
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• v.22 no.3
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• pp.120-127
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• 1978

We have studied the effect of ouabain, tool ginseng saponin, panax saponin C (protopanaxatriol derivative) and ginsenoside $Rb_{1}$ (protopanaxadiol derivative) on $Na^+,K^+$-ATPase and $Mg^{++}$-ATPase activities were determined by the method of Robinson and ATPase activities were determined by the method of King. The $Na^+,K^+$-ATPase activities were inhibitied by 90.1% and 51.1% respectively at the concentration of $10^{-3}M$ and $10^{-4}M$ ouabain. The results are consistent with those of Robinson. The $Na^+,K^+$-ATPase activities were increased by 14.3% and 10.0% respectively at the concentration of $10^{-4}$g/ml and $10^{-5}$g/ml total ginseng saponin. Panax saponin C obtained by the method of Han and ginsenoside $Rb_{1}$ obtained by the method of Shibata were used. The $Na^+,K^+$-ATPase activities were increased in the presence of panax saponin C and the increased activity with panax saponin C was greater than that with total ginseng saponin. On the other hand ginsenoside $Rb_{1}$ showed an inhibitory effect on $Na^+,K^+$-ATPase. Total ginseng saponin, panax saponin C and ginsenoside $Rb_{1}$ had no effect on $Mg^{++}$-ATPase. Therefore, it may be concluded that total ginseng saponin has dual effects on microsomal $Na^+,K^+$-ATPase, that is, panax saponin C exhibits stimulatory action, whereas ginsenoside $Rb_{1}$ shows inhibitory action.

• Journal of KSNVE
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• v.8 no.2
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• pp.267-273
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• 1998

This study aims at performing sensitivity analysis of piezoelectric smart structure for minimizing radiated noise from the structure, The structure consists of a flat plate on which disk shaped piezoelectric actuator is mounted, and finite element modeling is used for the structure. The finite element modeling uses a combination of three dimensional piezoelectric, flat shell and transition elements so thus it can take into account the coupling effects of the piezoelectric device precisely and it can also reduce the degrees of freedom of the finite element model. Electric potential on the piezoelectric actuator is taken as a design variable and total radiated power of the structure is chosen as an objective function. The objective function can be represented as Rayleigh's integral equation and is a function of normal displacements of the structure. For the convenience of computation, all degrees of freedom of the finite element equation is condensed out except the normal displacements of the structure. To perform the design sensitivity analysis, the derivative of the objective function with respect to the normal displacements is found, and the derivative of the norma displacements with respect to the design variable is calculated from the finite element equation by using so called the adjoint variable method. The analysis results are compared with those of the finite difference method, and shows a good agreement. This sensitivity analysis is faster and more accurate than the finite difference method. Once the sensitivity analysis program is used for gradient-based optimizations, one could achieve a better convergence rate than non-derivative methods for optimal design of piezoelectric smart structures.