• Title/Summary/Keyword: log law

Search Result 108, Processing Time 0.023 seconds

The Design & Analysis of Time-Stamp Protocol with H-Binary Tree (H-이진트리 구조를 갖는 타임스탬프 설계 및 분석)

  • Jung, Kyung-Won;Do, Kyoung-Hwa;Jun, Moon-Seog
    • The KIPS Transactions:PartC
    • /
    • v.9C no.6
    • /
    • pp.817-822
    • /
    • 2002
  • We want to find a timestamping method which improves efficient performance and have high-level security to send secured messages in the digital signature and the law of e-commerces. Our paper shows a H-binary tree of time stamp to use a time stamp protocol with high suity and performance in the packets of sending messages. We implement and analyze the protocols, show to compare with previous RSA methods. Our proposed protocol has O(log n) time complexity and high-performance.

FREE-FLOATING PLANETS, THE EINSTEIN DESERT, AND 'OUMUAMUA

  • Gould, Andrew;Jung, Youn Kil;Hwang, Kyu-Ha;Dong, Subo;Albrow, Michael D.;Chung, Sun-Ju;Han, Cheongho;Ryu, Yoon-Hyun;Shin, In-Gu;Shvartzvald, Yossi;Yang, Hongjing;Yee, Jennifer C.;Zang, Weicheng;Cha, Sang-Mok;Kim, Dong-Jin;Kim, Seung-Lee;Lee, Chung-Uk;Lee, Dong-Joo;Lee, Yongseok;Park, Byeong-Gon;Pogge, Richard W.
    • Journal of The Korean Astronomical Society
    • /
    • v.55 no.5
    • /
    • pp.173-194
    • /
    • 2022
  • We complete the survey for finite-source/point-lens (FSPL) giant-source events in 2016-2019 KMTNet microlensing data. The 30 FSPL events show a clear gap in Einstein radius, 9 𝜇as < 𝜃E < 26 𝜇as, which is consistent with the gap in Einstein timescales near tE ~ 0.5 days found by Mróz et al. (2017) in an independent sample of point-source/point-lens (PSPL) events. We demonstrate that the two surveys are consistent. We estimate that the 4 events below this gap are due to a power-law distribution of free-floating planet candidates (FFPs) dNFFP/d log M = (0.4 ± 0.2) (M/38 M)-p/star, with 0.9 ≲ p ≲ 1.2. There are substantially more FFPs than known bound planets, implying that the bound planet power-law index 𝛾 = 0.6 is likely shaped by the ejection process at least as much as by formation. The mass density per decade of FFPs in the Solar neighborhood is of the same order as that of 'Oumuamua-like objects. In particular, if we assume that 'Oumuamua is part of the same process that ejected the FFPs to very wide or unbound orbits, the power-law index is p = 0.89 ± 0.06. If the Solar System's endowment of Neptune-mass objects in Neptune-like orbits is typical, which is consistent with the results of Poleski et al. (2021), then these could account for a substantial fraction of the FFPs in the Neptune-mass range.

A Study on the Creep Deformation Characteristic of AZ31 Mg Alloy at High Temperature (AZ3l 마그네슘 합금의 고온 크리이프 변형특성에 관한 연구)

  • An Jungo;Kang Daemi;Koo Yang;Sim Sungbo
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.13 no.3
    • /
    • pp.186-192
    • /
    • 2005
  • The apparent activation energy Qc, the applied stress exponent n, and rupture life have been determined from creep test results of AZ31 Mg alloy over the temperature range of 200$^{\circ}C$ to 300$^{\circ}C$ and the stress range of 23.42 MPa to 93.59 MPa, respectively, in order to investigate the creep behavior. Constant load creep tests were carried out in the equipment including automatic temperature controller with data acquisition computer. At the temperature of $200^{\circ}C{\sim}220^{\circ}C$ and under the stress level of 62.43~93.59 MPa, and at around the temperature of $280^{\circ}C{\sim}300^{\circ}C$ and under the stress level of 23.42~39.00 MPa, the creep behavior obeyed a simple power-law relating steady state creep rate to applied stress and the activation energy fur the creep deformation was nearly equal to that of the self diffusion of Mg alloy including aluminum From the above results, at the temperature of $200^{\circ}C{\sim}220^{\circ}C$ the creep deformation for AZ31 Mg alloy seemed to be controlled by dislocation climb but controlled by dislocation glide at $280^{\circ}C{\sim}300^{\circ}C$ .And relationship beween rupture time and stress at around the temperature of $200^{\circ}C{\sim}220^{\circ}C$ and under the stress level of 62.43~93.59 MPa, and again at around the temperature of $280^{\circ}C{\sim}300^{\circ}C$ and under the stress level of 23.42~39.00 MPa, respectively, appeard as fullow; log$\sigma$=-0.18(T+460)(logtr+21)+5.92, log$\sigma$ = -0.25(T+460)(logtr+21)+8.02 Also relationship beween rupture time and steady state creep rate appears as follow; ln$\dot$ =-0.881ntr-2.45

The Principles of Fractal Geometry and Its Applications for Pulp & Paper Industry (펄프·제지 산업에서의 프랙탈 기하 원리 및 그 응용)

  • Ko, Young Chan;Park, Jong-Moon;Shin, Soo-Jung
    • Journal of Korea Technical Association of The Pulp and Paper Industry
    • /
    • v.47 no.4
    • /
    • pp.177-186
    • /
    • 2015
  • Until Mandelbrot introduced the concept of fractal geometry and fractal dimension in early 1970s, it has been generally considered that the geometry of nature should be too complex and irregular to describe analytically or mathematically. Here fractal dimension indicates a non-integer number such as 0.5, 1.5, or 2.5 instead of only integers used in the traditional Euclidean geometry, i.e., 0 for point, 1 for line, 2 for area, and 3 for volume. Since his pioneering work on fractal geometry, the geometry of nature has been found fractal. Mandelbrot introduced the concept of fractal geometry. For example, fractal geometry has been found in mountains, coastlines, clouds, lightning, earthquakes, turbulence, trees and plants. Even human organs are found to be fractal. This suggests that the fractal geometry should be the law for Nature rather than the exception. Fractal geometry has a hierarchical structure consisting of the elements having the same shape, but the different sizes from the largest to the smallest. Thus, fractal geometry can be characterized by the similarity and hierarchical structure. A process requires driving energy to proceed. Otherwise, the process would stop. A hierarchical structure is considered ideal to generate such driving force. This explains why natural process or phenomena such as lightning, thunderstorm, earth quakes, and turbulence has fractal geometry. It would not be surprising to find that even the human organs such as the brain, the lung, and the circulatory system have fractal geometry. Until now, a normal frequency distribution (or Gaussian frequency distribution) has been commonly used to describe frequencies of an object. However, a log-normal frequency distribution has been most frequently found in natural phenomena and chemical processes such as corrosion and coagulation. It can be mathematically shown that if an object has a log-normal frequency distribution, it has fractal geometry. In other words, these two go hand in hand. Lastly, applying fractal principles is discussed, focusing on pulp and paper industry. The principles should be applicable to characterizing surface roughness, particle size distributions, and formation. They should be also applicable to wet-end chemistry for ideal mixing, felt and fabric design for papermaking process, dewatering, drying, creping, and post-converting such as laminating, embossing, and printing.

Head Capsule Width and Population Densities of Overwintering Nymphal Stages of the Green Rice Leafhopper, Nephotettix cincticeps Uhler (Hemiptera: Cicadellidae) (월동 끝동매미충(Nephotettix cincticeps)의 약충태별 두폭크기 및 밀도변화)

  • Kang, Seok-Min;Paik, Chae-Hoon;Lee, Geon-Hwi;Choi, Man-Young;Sengottayan, Senthil-Nathan;Hwang, Chang-Yeon
    • Korean journal of applied entomology
    • /
    • v.48 no.2
    • /
    • pp.165-170
    • /
    • 2009
  • This study was conducted to investigate specific stages and distribution of overwintering nymphs of green rice leafhopper, Nephotettix cincticeps by measuring head capsule width. The nymphal head capsule width of the 1st instar to the 5th instar was 0.381, 0.502, 0.673, 0.979 and 1.128 mm, respectively. lts coefficient variation was 5.3, 4.0, 3.0, 4.5 and 5.3%, respectively. Growth ratio of each instar was not significantly different among 2nd to 4th instars as 1.31 to 1.34, but for the 5th instar it decreased as 1.28. The logarithm of the nymphal head capsule width was regressed as a function of the stage number of insects, resulting in LogY = 1.4627 + 0.1192X ($r^2= 0.9993$). Also fitness to the Dyar's law for the nymphal head capsule width of each instar was 98% or over and the Dyar's constant (K) was 1.316. The occurrence of N. cincticeps was maximum at the end of January with 195 individuals/0.25 $m^2$. The most abundant instar in the overwintering N. cincticeps population was 4th instar accounting for over 90%. Population of the 5th instar began to increase from mid-March, and adults began to occur in early April.

The Estimation of Friction Velocity in an Open Channel by the Entropy Concept (엔트로피 개념을 활용한 개수로 마찰속도 산정)

  • Choo, Tai Ho;Son, Hee Sam;Yun, Gwan Seon;Noh, Hyun Seok;Ko, Hyun Soo
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.16 no.2
    • /
    • pp.1533-1540
    • /
    • 2015
  • In order to demonstrate the flow properties of the river bed and the design of hydraulic structures, the estimation of friction velocity is essentially required. However, existing friction velocity equations such as Log method and Power law have trouble to estimate the friction velocity because a boundary condition and various hydraulic properties are changed constantly in near the wall. In the present study, therefore, a new friction velocity equation that can minimize the parameters and reduce an error was suggested. To verify accuracy and reliability for the proposed equation, Clauser method, $\sqrt{gRI}$ method, reynolds stress method by Dr. Song were compared with the proposed method by estimated entropy parameter M for each channel. Consequently, the results show that uniform flow condition as well as non-uniform flow condition with highly accuracy nearly matched in case of accelerating non-uniform condition of $R^2=0.9621$, Decelerating Non Uniform condition of $R^2=0.9274$, Uniform condition of $R^2=0.8865$.

Quality Changes in Peeled Lotus Roots Immersed in Electrolyzed Water Prior to Wrap- and Vacuum-Packaging (전기분해수 침지처리 박피연근의 랩 및 진공포장 저장 중의 품질변화)

  • Park, Kee-Jai;Jeong, Jin-Woong;Lim, Jeong-Ho;Kim, Bum-Kun;Jeong, Seong-Won
    • Food Science and Preservation
    • /
    • v.15 no.5
    • /
    • pp.622-629
    • /
    • 2008
  • This study investigated changes in quality characteristics of wrap- and vacuum-packaged peeled lotus roots treated with strong acidic electrolyzed acid water (SAEW pH 2.58, ORP 1,128 mV, HClO 105.0 ppm) or low alkaline electrolyzed water (LAEW pH 8.56, ORP 660 mV, HClO 73.8 ppm) as immersion liquids prior to packaging and storage at 5C. Immersion of peeled lotus roots in SAEW and LAEW reduced initial microbial load by about 1 log compared to treatment with tap water (TW). Hardness differences on storage were observed. However, reduction in PPO activity by electrolyzed water was not reproducible. Changes in Hunter's color value and the color difference value ($\Delta$) of peeled lotus roots immersed in 0.5% (w/v) sodium metabisulfite (SMS) and electrolyzed water were smaller than those of roots treated with TW prior to storage. Sensory characteristics measured during storage were best-preserved in lotus roots previously immersed in 0.5% (w/v) SMS or electrolyzed water, compared to TW. Immersionin electrolyzed water and vacuum packaging preserves the quality of peeled lotus roots in terms of microbial, visual, and sensory aspects, at levels comparable to those offered by storage after treatment with 0.5% (w/v) SMS.

Analysis of Morphological Characteristics of Farm Dams in Korea (한국 농업용 저수지의 형태학적 특성 분석)

  • Yoo, Chul-Sang;Park, Hyun-Keun
    • Journal of the Korean Geographical Society
    • /
    • v.42 no.6
    • /
    • pp.940-954
    • /
    • 2007
  • This study was to analyze a total of 18,068 farm reservoirs in Korea with their basic measures, and estimate their average characteristics. These characteristics have also been compared with those of foreign countries. Histograms of seven measures(approval area, beneficial area, watershed area, effective storage, full water area, dam length, and dam height) of reservoirs are made to characterize their distributions and to apply the Pareto analysis with the power law to evaluate their inequalities. The histogram analysis shows that the measures of dam(channel cross-section) characteristics follow the log-normal distributions, on the other hand, those of the basin characteristics the exponential-type distributions. Pareto analysis was done for the five measures of having exponential distribution. The Pareto exponents estimated are 0.38 for the approval area, 0.42 for the beneficial area, -0.19 for the effective storage, 0.30 for the watershed area, and 0.22 for the full water area, so the inequality of the beneficial area is the highest and that of the effective storage is the lowest. Analysis of morphology index versus watershed area shows that most reservoirs are categorized into deep or normal ones. These characteristics are also found to be similar to those of foreign countries.

Comparative Study of Extracting Fragrance Allergens by GC-MS/MS

  • Lee, In Ja;Ahn, Jae-Chan;Kim, Bogsoon;Chung, Deukmo
    • Mass Spectrometry Letters
    • /
    • v.8 no.1
    • /
    • pp.18-22
    • /
    • 2017
  • Products containing any one or more of 26 fragrance allergens likely to cause contact allergies, are required under the 2008 domestic cosmetic law to be labeled when their concentrations exceed a certain range. This study focuses on the comparison and development of analytical methods based on headspace-solid phase micro extraction (HS-SPME) and liquid-liquid extraction (LLE) methods followed by GC-MS/MS for 24 of the fragrance allergens excepting for two natural materials in water samples. Using the developed HS-SPME method, 15 of the 24 fragrance allergens were analyzed and 9 compounds which have relatively low $logK_{OW}$ values (below about 2.5) were not extracted, and the correlation coefficient ($r^2$) of the calibration curve for quantification showed linearity of 0.9969 or more, and the method detection limits (MDL) and the limits of quantification (LOQ) were $0.078{\sim}0.582{\mu}g/L$ and $0.261{\sim}1.940{\mu}g/L$, respectively. In the case of using the optimized LLE method, all 24 fragrance allergens were analyzed, and the correlation coefficient ($r^2$) of the calibration curve for quantification showed linearity of 0.9957 or more, MDL and LOQ were $0.020{\sim}0.138{\mu}g/L$ and $0.065{\sim}0.440{\mu}g/L$, respectively.

Quantification of Heterogenous Background Fractures in Bedrocks of Gyeongju LILW Disposal Site (경주 방폐장의 불균질 배경 단열의 정량화)

  • Cho, Hyunjin;Cheong, Jae-Yeol;Lim, Doo-hyun;Hamm, Se-Yeong
    • The Journal of Engineering Geology
    • /
    • v.27 no.4
    • /
    • pp.463-474
    • /
    • 2017
  • Heterogeneous background fractures of granite and sedimentary rocks in Gyeongju LILW (low-intermediate level radioactive waste) facility area have been characterized quantitatively by analyzing fracture parameters (orientation, intensity, and size). Surface geological survey, electrical resistivity survey, and acoustic televiewer log data were used to characterize the heterogeneity of background fractures. Bootstrap method was applied to represent spatial anisotropy of variably oriented background fractures in the study area. As a result, the fracture intensity was correlated to the inverse distance from the faults weighted by nearest fault size and the mean value of electrical resistivity and the average volumetric fracture intensity ($P_{32}$) was estimated as $3.1m^2/m^3$. Size (or equivalent radius) of the background fractures ranged from 1.5 m to 86 m and followed to power-law distribution based on the fractal property of fracture size, using fractures measured on underground silos and identified surface faults.