• Title/Summary/Keyword: Root finding

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An Improved Newton-Raphson's Reciprocal and Inverse Square Root Algorithm (개선된 뉴톤-랍손 역수 및 역제곱근 알고리즘)

  • Cho, Gyeong-Yeon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.1
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    • pp.46-55
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    • 2007
  • The Newton-Raphson's algorithm for finding a floating point reciprocal and inverse square root calculates the result by performing a fixed number of multiplications. In this paper, an improved Newton-Raphson's algorithm is proposed, that performs multiplications a variable number. Since the number of multiplications performed by the proposed algorithm is dependent on the input values, the average number of multiplications per an operation is derived from many reciprocal and inverse square tables with varying sizes. The superiority of this algorithm is proved by comparing this average number with the fixed number of multiplications of the conventional algorithm. Since the proposed algorithm only performs the multiplications until the error gets smaller than a given value, it can be used to improve the performance of a reciprocal and inverse square root unit. Also, it can be used to construct optimized approximate tables. The results of this paper can be applied to many areas that utilize floating point numbers, such as digital signal processing, computer graphics, multimedia, scientific computing, etc.

Evaluating Accuracy according to the Evaluator and Equipment Using Electronic Apex Locators

  • Yu, Beom-Young;Son, Keunbada;Lee, Kyu-Bok
    • Journal of Korean Dental Science
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    • v.13 no.2
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    • pp.52-58
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    • 2020
  • Purpose: Using two types of electronic apex locators, this study aimed to investigate the differences in accuracy according to the evaluator and equipment. Materials and Methods: Artificial teeth of the lower first premolars and two mandibular acrylic models (A and B) were used in this study. In the artificial teeth, the pulp chamber was opened and the access cavity was prepared. Using calibrated digital Vernier calipers, the distance from the top of the cavity and the root apex was measured to assess the actual distance between two artificial teeth. The evaluation was conducted by 20 dentists, and each evaluator repeated measurements for each electronic apex locator five times. The difference between the actual distance from the top of the cavity to the root apex and the distance measured using electronic measuring equipment was compared. For statistical analysis, the Friedman test the Mann-Whitney U-test were conducted and the differences between groups were analyzed (α=0.05). Result: As for the accuracy of measurement according to the two types of electronic apex locators, the value of the measurement error was 0.4753 mm in Dentaport ZX and 0.3321 mm in E-Cube Plus. Moreover, electronic apex locators Dentaport ZX and E-Cube Plus showed statistically significant differences (P<0.05). As for the difference in the accuracy of the two types of electronic apex locators according to the evaluator, the resulting values differed depending on the evaluator and showed a statistically significant difference (P<0.001). Conclusion: Electronic apex locator E-Cube Plus showed higher accuracy than did Dentaport ZX. Nevertheless, both types of electronic apex locators showed 100% accuracy in finding the region within root apex ±0.5 mm zone. Furthermore, according to the evaluator, the two electronic apex locators showed different resulting values.

Single- and Repeat-dose Oral Toxicity Studies of Lithospermum erythrorhizon Extract in Dogs

  • Nam, Chunja;Hwang, Jae-Sik;Kim, Myoung-Jun;Choi, Young Whan;Han, Kyoung-Goo;Kang, Jong-Koo
    • Toxicological Research
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    • v.31 no.1
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    • pp.77-88
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    • 2015
  • Lithospermum erythrorhizon has long been used in traditional Asian medicine for the treatment of diseases, including skin cancer. The oral toxicity of a hexane extract of Lithospermum erythrorhizon root (LEH) was investigated in Beagle dogs by using single escalating doses, two-week dose range-finding, and 4-week oral repeat dosing. In the single dose-escalating oral toxicity study, no animal died, showed adverse clinical signs, or changes in body weight gain at LEH doses of up to 2,000 mg/kg. In a 2 week dose range-finding study, no treatment-related adverse effects were detected by urinalysis, hematology, blood biochemistry, organ weights, or gross and histopathological examinations at doses of up to 500 mg LEH/kg/day. In the 4 week repeat-dose toxicity study, a weight loss or decreased weight gain was observed at 300 mg/kg/day. Although levels of serum triglyceride and total bilirubin were increased in a dose dependent manner, there were no related morphological changes. Based on these findings, the sub-acute no observable adverse effect level for 4-week oral administration of LEH in Beagles was 100 mg/kg/day.

Chinese Skullcap (Scutellaria baicalensis) inhibits inflammation and proliferation on benign prostatic hyperplasia in rats

  • An, Hyo-Jin;Jin, Bo-Ram
    • Proceedings of the Plant Resources Society of Korea Conference
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    • 2018.10a
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    • pp.31-31
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    • 2018
  • Benign prostatic hyperplasia (BPH), which is the most common disorder in elderly men, involves androgenic hormone imbalance with chronic inflammation that causes imbalance between cell apoptosis and cell proliferation. As the root cause of the BPH remains unclear and synthetic drugs for treatment of BPH have undesirable side effects, the development of effective alternative medicines has been considered. Chinese Skullcap has been considered natural remedy to treat pyrexia, micturition disorder and inflammation. Although skullcap has effective properties on various diseases, the effects and molecular mechanism of Skullcap on BPH are not fully understood. Therefore, in this study, we evaluated the efficacy of Chinese Skullcap root extract (SRE) in testosterone-induced BPH rats. Compared with the untreated group, the SRE treatment group suppressed pathological alterations, such as prostate growth and increase in serum dihydrotestosterone and $5{\alpha}$-reductase levels. Furthermore, SRE significantly decreased the expression of androgen receptor and proliferating cell nuclear antigen. SRE also restored Bax/Bcl-2 balance. These effect of SRE was more prevalent than commercial $5{\alpha}$-reductase inhibitor, finasteride. Taken together, we propose that SRE suppresses abnormal androgen events in prostate tissue and inhibits the development of BPH by targeting inflammation- and apoptosis-related markers. These finding strengthens that SRE could be used as plant-based $5{\alpha}$-reductase inhibitory alternative.

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THE ROENTGENOGRAPHIC STUDY OF THE RELATIONSHIP BETWEEN ERUPTION AND CALCIFICATION OF THE MANDIBULAR PERMANENT TEETH IN KOREAN. (한국인 하악 영구치 석회화와 맹출의 상호 관계에 관한 방사선학적 연구)

  • Kim, Soon-Joo;Lee, Jong-Gap
    • Journal of the korean academy of Pediatric Dentistry
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    • v.6 no.1
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    • pp.43-52
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    • 1979
  • The purpose of this study was to finding out the relationship between the tooth calcification and eruption of the mandibular permanent teeth in Korean. This study was undertaken in 592 children at ages from 3 to 13 years who had good oral condition by means of panoramic roentgenographic analysis. The following results were obtained. 1. The mean ages of crown completion were as follows; Canine 1st. Premolar 2nd. Premolar 1st. Molar Male 6yrs. 4mos. 6yrs. 8mos. 7yrs. 6mos. 7yrs. 6mos. Female 5yrs. 11mos. 6yrs. 5mos. 7yrs. 2mos. 3yrs. 3mos. 2. Each tooth started to move toward occlusion at approximately stage 6 or after crown completion. 3. The highest increment in eruption rate was at about 1/3~1/2 completion of root and ages at 10-11 years in male, 9-10 years in female. 4. Eruption period of both sexes were as follows; Canine: 6-12years 1st. Premolar: 7-12 years 2nd. Premolar: 7-13 years 1st. Molar: 3-7 years 5. The eruption was completed before the root completion. 6. The sequence of eruption and calcification was 1st. Molar-Canine-1st. Premolar-2nd. Premolar in both sexes.

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Methanolic extract from the root of Bupleuri falcatum L. attenuates cocaine-induced c-Fos expression in rat brain. (시호 메탄올 추출물이 코카인 약물중독에 의한 흰쥐 뇌의 c-Fos 발현에 미치는 영향)

  • Choi, Seong-Hun;Ku, Sae-Kwang;Han, Chang-Hyun;Yang, Chae-Ha
    • Korean Journal of Oriental Medicine
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    • v.16 no.1
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    • pp.141-147
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    • 2010
  • Objectives : The aim of present study is to examine the effect of methanolic extract from the root of Bupleurum falcatum L. (BF) on acute cocaine-induced c-Fos expression in the rat caudate putamen (CPu), a major dopaminergic terminal. Methods : Male Sprague-Dawley rats were subjected to an intraperitoneal injection with either cocaine hydrochloride (20 mg/kg) or saline 30 min after an administration of either extract of BF (100 mg/kg, i.p.) or vehicle. Animals were sacrificed 2 hr after treatment with cocaine or saline for immunohistochemistry. Quantification of brain slices was examined for c-Fos positive nuclei using light microscopy. Results : Pretreatment with BF significantly attenuated cocaine-induced c-Fos expression in the rat CPu. Conclusions : This finding suggests that BF has the inhibitory effect on cocaine-induced c-Fos expression in the rat CPu via possibly modulating the activities of central dopaminergic systems.

Symmetric and Asymmetric Effects of Financial Innovation and FDI on Exchange Rate Volatility: Evidence from South Asian Countries

  • QAMRUZZAMAN, Md.;MEHTA, Ahmed Muneeb;KHALID, Rimsha;SERFRAZ, Ayesha;SALEEM, Hina
    • The Journal of Asian Finance, Economics and Business
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    • v.8 no.1
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    • pp.23-36
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    • 2021
  • The study explores the nexus between foreign direct investment (FDI), financial innovation, and exchange rate volatility in selected South Asian countries for 1980 to 2017. The study applies the unit root test, Autoregressive Distributed Lagged, nonlinear ARDL, and causality test following Toda-Yamamoto. Unit root tests ascertain that variables are integrated in a mixed order; few variables are stationary at a level and few after the first difference. Empirical model estimation with ARDL, Long-run cointegration revealed with the tests of FPSS, WPSS, and tBDM by rejecting the null hypothesis of "no cointegration." This finding suggests that, in the long-run financial innovation, FDI inflows, and exchange rate volatility move together. Moreover, study findings established adverse effects running from FDI inflows and financial innovation to exchange rate volatility in the long run. These findings suggest that continual FDI inflows and innovativeness in the financial system assist in lessening the volatility in the foreign exchange market. Furthermore, nonlinear ARDL confirms the presence of asymmetric cointegration in the model. The standard Wald test established asymmetric effects running from FDI inflows and financial innovation to exchange rate volatility, both in the long and short run. Directional causality unveils feedback hypothesis holds for explaining causality between FDI, financial innovation, and exchange rate volatility.

Effect of Chromium Stress on Antioxidative Enzymes and Malondialdehyde Content Activities in Leaves and Roots of Mangrove Seedlings Kandelia Candel (L.) Druce

  • Rahman, Mohammed Mahabubur;Rahman, Motiur M.;Islam, Kazi Shakila;Chongling, Yan
    • Journal of Forest and Environmental Science
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    • v.26 no.3
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    • pp.171-179
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    • 2010
  • Effect of chromium (Cr) stress on antioxidant enzyme activities and malondialdehyde (MDA) content were investigated in leaves and roots of mangrove (italic (L.) Druce) seedlings. Cr toxicity effects were also assessed on young seedlings. The seedlings were grown in green house condition for three months in nutrient solution with 0, 0.5, 1, 1.5, 2, 2.5, and 3 mg $L^{-1}$ $CrCl_3$. This study showed that Cr led to the change of antioxidant enzymes such as superoxide dismutase (SOD), peroxidase (POD) and catalase (CAT) and activities at different concentrations. The activity of antioxidant enzymes in leaves of K. candel seedlings indicates that enzymes engaged in antioxidant defense in certain level especially in low concentration of Cr treatments. The activities of SOD and POD were activated by Cr in the root level, while CAT activity was inhibited. CAT activity decreased in response to high concentrations of Cr. In the present study indicated that SOD in root was active in scavenging the superoxide produced by Cr. Both in roots and leaves, an increase in malondialdehyde (MDA) content was observed with increase in metal concentration and exposure periods. Our finding indicated that the high concentration of excessive Cr supply may interfere with several metabolic processes of seedlings, causing toxicity to plants as exhibited by chlorosis, necrosis, photosynthetic impairing and finally, plant death.

Clinical Evaluation of Tooth Mobility Following Root Planing and Flap Operation (치근활택술과 치은박리소파술 후 치아동요도 변화에 관한 연구)

  • Pang, Eun-Kyoung;Chai, Jung-Kiu;Kim, Chong-Kwan;Cho, Kyoo-Sung
    • Journal of Periodontal and Implant Science
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    • v.29 no.4
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    • pp.893-914
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    • 1999
  • Tooth mobility may be the decisive factor that determines whether dental treatment of any kind is undertaken. Although tooth mobility in isolation says little in itself, the finding of increased tooth mobility is of both diagnostic and prognostic importance. Only the detection of an increase or decrease in mobility makes an evaluation possible. Thus prior to treatment, we must understand the pathologic process causing the observed the tooth mobility and decide whether the pattern and degree of observed tooth mobility is reversible or irreversible. And then it must be decided whether retention and treatment or extraction and replacement. The purpose of this study was to compare tooth mobility at different time period during root planing and flap operation and to relate changes in mobility to each treatment method. Twenty-one patients (287 teeth) with chronic adult periodontitis were treated with root planing(control group) and flap operation(experimental group), and each group was divided 3 subgroups based upon initial probing pocket depth (1-3mm, 4-6mm, 7mm and more). Tooth mobility was measured with $Periotest^{(R)}$ at the day of operation, 4 days, 1 week, 2 weeks, 3 weeks, 4 weeks, 8 weeks, 12 weeks after each treatment. Tooth mobility, attachment loss, radiographic bone loss, and bleeding on probing were measured at the day of operation, 4 weeks, 8 weeks and 12 weeks after treatment. 1. In group initial probing depth was 1-3mm, tooth mobility had no significant difference after root planing and flap operation. 2 . In group initial probing depth was 4-6mm, 7mm and more, tooth mobility had decreased in 12 weeks after root planing(p<0.01). And the mobility had increased after flap operation(p<0.01) and was at peak in 1 week, and decreased at initial level in 4 weeks, below the initial level in 12 weeks(p<0.01). 3. In 1 week, significant difference in tooth mobility between control and experimental group was found(p<0.01) but, in 12 weeks no difference between two groups was found. 4. Change of immediate tooth mobility after treatment was more larger in deep pocket than in shallow one. In group with the same probing pocket depth, the change of tooth mobility in molar group was greater than that of premolar group. 5. Tooth mobility before treatment was more strongly correlated with radiographic bone loss (r=0.5325) than probing depth, attachment loss and bleeding on probing, in 12 weeks after treatment, was more strongly correlated with attachment loss($r^2$=0.4761) than probing depth and bleeding on probing. Evaluation of the treatment effect and the prognosis after root planing and flap operation were meaningful on tooth initial probing depth 4mm and more. After flap operation, evaluation of the prognosis should be performed at least in 4 weeks and in 12 weeks after treatment, no difference in tooth mobility between two groups was observed. Radiographic bone loss and attachment loss were good clinical indicators to evaluate tooth mobility.

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Production of Ginsenoside in Callus of Ginseng Hairy Roots (인삼 모상근의 캘러스를 이용한 ginsenoside 생산)

  • Kwon, Jung-Hee;Cheon, Hyun-Choon;Yang, Deok-Cho
    • Journal of Ginseng Research
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    • v.27 no.2
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    • pp.78-85
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    • 2003
  • By the Agrobacterium rhizogenes A$_4$ were induced a transformed callus of ginseng hairy root and examine to find the possibility whether it can produce certain ginsenoside. Investigations for a finding out to optimal culture medium showed that BA application is better than more factorial composition between auxins and cytokinins. For the induction of hairy root callus of ginseng, l/2 MS medium containing 1 to 3 mg of benzyladenine(BA) per liter gave the best result. The growth of ginseng hairy root callus(GHC) cultured with the 1/2MS medium supplemented with 2 mg BA/L was selected for best suspension cultures. The optimum concentration of BA for ginsenosides production was found to be 2 mg/L. Probably the inoculum size of callus plays a role with the ginsenoside production in suspension culture. AS for inoculum size of callus, 50 mg was superior to 150 mg for growth and ginsenoside production. Ginsenoside contents were highest in the suspension culture grown for four weeks under continuous light condition. In fact that continous light treatment promote strongly the synthesis of ginsenoside of the hairy root callus is first result in the world and the numerously induced root hairs of the callus leads a new method for ginsenoside production.