• Journal of Elementary Mathematics Education in Korea
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• v.14 no.2
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• pp.263-285
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• 2010

It is necessary to accumulate the studies on the practical learning and teaching for the Mathematical talent education in elementary school. In this study, I set the 4th grade children mathematically gifted in elementary school to pose the various number calculating formulars, 4 4 4 4 = 0, 1, 2,$\cdots$10, by using to +, -, ${\times}$, $\div$, ( ). And I analysed their products. In 2007, I gave the same task to 5th graders and got a significant result. To expand the target of my study, I used the same investigating method for children of different graders. As a result, I conclude that math brains in 4th grade also can create various many number calculating formulas. I find that children pose to various many calaulating formulars becoming 0, 1, 8, 4 in order whereas they pose to a little calaulating formulars becoming 10, 6, 5, 9 orderly. Most errors are due to the order of calculation or confusion about parenthesis. This study contributes to test methods and text development for math brains in elementary school.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.13 no.10
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• pp.4845-4852
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• 2012

This research calculated the scour depth of bridge according to inflow and outflow changes of stream's flood discharge and curves by applying scour depth formula for piers and abutments, and by comparing and examining them, evaluated the applicability of scour depth formulas. Overall, if the angles of flood discharge and inflow and outflow increase, the deviation rate of scour depth in bight increased. Especially the deviation rate was 58% at the inflow and outflow angle of $105^{\circ}$ that the bridge plan for this geography need careful examination. Next, as a result of calculating the deviation rate of scour depth at the bight by scour depth formulas, in case of pier, Andru formula showed 58% deviation rate, Laursen formula showed 26% deviation rate, and CSU. formula showed 17% deviation rate. In the case of abutment, Froehlich formula shows 44% deviation rate that when applying above scour depth formulas, scour depth calculation considering repairable characteristics of bight is necessary. Finally, about inflow and outflow angles of $45^{\circ}{\sim}135^{\circ}$ that showed big deviation rate of scour depth, this research performed regression analysis of deviation rates of scour depth due to flood discharge to suggest the regression formula.

• Geophysics and Geophysical Exploration
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• v.18 no.3
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• pp.125-132
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• 2015

The water saturation ($S_w$), which is very important to estimate hydrocarbon reserves in the reservoir, has been determined from resistivity index (RI) by using the Archie's formula. However, in many cases, it has been reported that n is not constant for a given formation and it could be varied with water saturation. In addition, it frequently happens that the line obtained by linear regression analysis on log-log scale does not pass through the origin. In order to overcome these drawbacks, we suggested a modified Archie's formula, which can handle almost all the RI vs. $S_w$ cross-plots whether the trend is straight or curved and whether it passes through the origin or not. We also demonstrated that how to determine conductivity exponent ${\mu}$, critical water saturation $S_c$, and saturation distribution factor b in the laboratory to use the modified Archie's formula. Since the modified Archie's formula takes into account pore structure, pore water distribution, and wettability of reservoir such as clean sandstone and carbonate rocks, it might improve field applicability.

• Journal of the Korean Society of Hazard Mitigation
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• v.7 no.4
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• pp.67-74
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• 2007

Rational method has been widely used to calculate peak runoff drainage design or small watershed because of simplicity and convenience. Runoff coefficient(C) is the most important parameter in the rational method which varies according to rainfall intensity, return period, rainfall duration time and soil characteristics. In practice, constant which is value of C in rational formula has been used from the table, originally based on ASCE. These table value does not consider the upper conditions of the depending factors, hence peak runoff calculation could be in correct. Therefore to calculate C in this paper we have devised an improved formula, considering relationship with rainfall duration, return period and CN of NRCS method. This formula is considered to be more reliable and helpful to the hydrologists and engineers to predict correct peak runoff.

• The Journal of the Korea Contents Association
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• v.16 no.5
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• pp.440-448
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• 2016

This study analyzed the issue and limit of artists's Welfare Law. The issue is about artists' labor, their status, and the process for buying social insurance. In this study, we used the literature method the existing data collection clean up, analysis, and evaluating. The solution plan for the vitalization of the guarantee of social insurance for stage actors is as follows. First, based on social insurance law, is to grant an exceptional status to stage artists. Second, the process for buying social insurance has to be changed to posterior judgement by Ministry of Culture, Sports, and Tourism after buying social insurance through Ministry of Employment and Labor. And when a theater company as a leaseholder rent a theater, it should be mandatory for it to get existing industrial accident compensation law. As a new numerical formula, there are an unemployment insurance numerical formula considering distinct characteristics of artists' labor and a formula of calculating insurance fee for industrial accident compensation. Last, there needs to be an introduction of exceptional method allowing a preparatory period for the production of a play and stage actors' side job.

• Journal of Yeungnam Medical Science
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• v.32 no.2
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• pp.90-97
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• 2015

Background: Contrast-induced nephropathy (CIN) can cause serious adverse effects. To reduce the occurrence of CIN related computed tomography (CT) in emergency patients, we assessed the respective roles of serum creatinine (SCr) alone and estimated glomerular filtration rate (eGFR) as an early predictor for CIN related CT. Methods: For patients with SCr <1.5 mg/dL who underwent CT in emergency department (ED) between September 2012 and October 2013, we assessed the prevalence of CIN and its adverse effects. The Modification of Diet in Renal Disease Study (MDRD) and Cockcroft-Gault (CG) formula was used for the calculation of eGFR. Practical calculation was performed by electronic medical record (EMR) system for MDRD and internet calculating service for CG. And we investigated the prevalence of CIN in eGFR $<60mL/min/1.73m^2$ before CT. Results: A total of 1,555 patients were enrolled. The prevalence of CIN after CT was 4.6% and it showed correlation with renal deterioration, increased in-hospital mortality, and prolonged hospitalization. Despite baseline SCr <1.5 mg/dL, among enrolled patients, 11.3% as MDRD equation and 29.5% as CG formula were $<60mL/min/1.73m^2$ and in this condition, the prevalence of CIN was significantly high (odds ratio was 2.87 [1.64-5.02] as MDRD equation and 2.03 [1.26-3.29] as CG formula). Conclusion: Just SCr <1.5mg/dL was not appropriate to recognize preexisting renal insufficiency, but eGFR using MDRD equation was useful in predicting the risk of CIN related CT in ED. Using EMR, calculation of eGFR can be easier and more convenient.

• The Bulletin of The Korean Astronomical Society
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• v.41 no.1
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• pp.38.2-38.2
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• 2016

The mapping of dark matter clustering from real to redshift spaces introduces the anisotropic property to the measured density power spectrum in redshift space, known as the Redshift Space Distortion (hereafter RSD) effect. The mapping formula is intrinsically non-linear, which is complicated by the higher order polynomials due to the indefinite cross correlations between the density and velocity fields, and the Finger-of-God (hereafter FoG) effect due to the randomness of the peculiar velocity field. Furthermore, the rigorous test of this mapping formula is contaminated by the unknown non-linearity of the density and velocity fields, including their auto- and cross-correlations, for calculating which our theoretical calculation breaks down beyond some scales. Whilst the full higher order polynomials remains unknown, the other systematics can be controlled consistently within the same order truncation in the expansion of the mapping formula, as shown in this paper. The systematic due to the unknown non-linear density and velocity fields is removed by separately measuring all terms in the expansion using simulations. The uncertainty caused by the velocity randomness is controlled by splitting the FoG term into two pieces, 1) the non-local FoG term being independent of the separation vector between two different points, and 2) the local FoG term appearing as an indefinite polynomials which is expanded in the same order as all other perturbative polynomials. Using 100 realizations of simulations, we find that the best fitted non-local FoG function is Gaussian, with only one scale-independent free parameter, and that our new mapping formulation accurately reproduces the observed power spectrum in redshift space at the smallest scales by far, up to k ~ 0.3 h/Mpc, considering the resolution of future experiments.

• Journal of the Korean Society of Radiology
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• v.15 no.6
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• pp.869-875
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• 2021

The purpose of this study is to derive a formula for calculating the effective energy of an X-ray beam generated by a CT simulator. Under 90, 120, and 140 kVp X-ray beams, the CT number calibration insert part of the AAPM CT performance phantom was scanned 5 times with a CT simulator. The CT numbers of polyethylene, polystyrene, water, nylon, polycarbonate, and acrylic were measured for each CT slice image. The average value of CT number measured under a single tube voltage and the linear attenuation coefficients corresponding to each photon energy calculated from the data of the National Institute of Standards and Technology were linearly fitted. Among the obtained correlation coefficients, the photon energy having the maximum value was determined as the effective energy. In this way, the effective energy of the X-ray beam generated at each tube voltage was determined. By linearly fitting the determined effective energies(y) and tube voltages(x), y=0.33026x+30.80263 as an effective energy calculation formula was induced.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.13 no.5
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• pp.2338-2356
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• 2019

Vehicular ad-hoc network (VANET) is the name of technology, which uses 'mobile internet' to facilitate communication between vehicles. The aim is to ensure road safety and achieve secure communication. Therefore, the reliability of this type of networks is a serious concern. The reliability of VANET is dependent upon proper communication between vehicles within a given amount of time. Therefore a new formula is introduced, the terms of the new formula correspond 1 by 1 to a class special ST route (SRORT). The new formula terms are much lesser than the Inclusion-Exclusion principle. An algorithm for the Source-to-Terminal reliability was presented, the algorithm produced Source-to-Terminal reliability or computed a Source-to-Terminal reliability expression by calculating a class of special networks of the given network. Since the architecture of this class of networks which need to be computed was comparatively trivial, the performance of the new algorithm was superior to the Inclusion-Exclusion principle. Also, we introduce a mobility metric called universal speed factor (USF) which is the extension of the existing speed factor, that suppose same speed of all vehicles at every time. The USF describes an exact relation between the relative speed of consecutive vehicles and the headway distance. The connectivity of vehicles in different mobile situations is analyzed using USF i.e., slow mobility connectivity, static connectivity, and high mobility connectivity. It is observed that $p_c$ probability of connectivity is directly proportional to the mean speed ${\mu}_{\nu}$ till specified threshold ${\mu}_{\tau}$, and decreases after ${\mu}_{\tau}$. Finally, the congested network is connected strongly as compared to the sparse network as shown in the simulation results.

• 제어로봇시스템학회:학술대회논문집
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• 1991.10b
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• pp.1858-1863
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• 1991

The theory of stock option pricing has, recently, attracted attention of many researchers interested not only in finance but also in statistics and control theory. In this field, the problem of estimating stock return volatility is, above all, of great importance in calculating actual stock option value. In this paper, we assume that the stock market is represented by the stochastic volatility model which is the same as that of Hull and White. Then, we propose an approximation function of option value. It is a type of Black-Sholes option formula in which the first and the second order moments of logarithmic stock value are modified in a special form from the original model. Finally, an algorithm of estimating the parameters of the stochastic volatility model is given, and parameters are estimated by using Nikkei 225 index option data.