• Title/Summary/Keyword: period-k component

Search Result 675, Processing Time 0.024 seconds

A Construction of the Principal Period-2 Component in the Degree-9 Bifurcation Set with Parametric Boundaries (9차 분기집합의 2-주기 성분의 경계방정식에 관한 연구)

  • Geum, Young-Bee
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.7 no.6
    • /
    • pp.1421-1424
    • /
    • 2006
  • By extending the Mandelbrot set for the complex polynomial $$M={c\in C\;:\; _{k\rightarrow\infty}^{lim}P_c^k(0)\;{\neq}\;{\infty}$$ we define the degree-n bifurcation set. In this paper, we formulate the boundary equation of a period-2 component on the main component in the degree-9 bifurcation set by parameterizing its image. We establish an algorithm constructing a period-2 component in the degree-9 bifurcation set and the typical implementations show the satisfactory result with Mathematica codes grounded on the analysis.

  • PDF

A PARAMETRIC BOUNDARY OF A PERIOD-2 COMPONENT IN THE DEGREE-3 BIFURCATION SET

  • Kim, Young Ik
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.16 no.2
    • /
    • pp.43-57
    • /
    • 2003
  • The boundary of a typical period-2 component in the degree-3 bifurcation set is formulated by a parametrization of its image which is the unit circle under the multiplier map. Some properties on the geometry of the boundary are investigated including the root point, the cusp and the length as well as the area bounded by the boundary curve. The centroid of the area for the period-2 component was numerically found with high accuracy and compared with its center. An algorithm drawing the boundary curve with Mathematica codes is proposed and its implementation exhibits a good agreement with the analysis presented here.

  • PDF

OPRoS: A New Component-Based Robot Software Platform

  • Jang, Choul-Soo;Lee, Seung-Ik;Jung, Seung-Woog;Song, Byoung-Youl;Kim, Rock-Won;Kim, Sung-Hoon;Lee, Cheol-Hoon
    • ETRI Journal
    • /
    • v.32 no.5
    • /
    • pp.646-656
    • /
    • 2010
  • A component is a reusable and replaceable software module accessed through its interface. Component-based development is expected to shorten the development period, reduce maintenance costs, and improve program reusability and the interoperability of components. This paper proposes a new robot software component platform in order to support the entire process of robot software development. It consists of specifications of a component model, component authoring tool, component composer, and component execution engine. To show its feasibility, this paper presents the analysis results of the component's communication overhead, a comparison with other robotic software platforms, and applications in commercial robots.

Nutrient Contributions of the Five Meal Components in School Lunch: $Entr{\'{e}}e$, Milk, Vegetable/Fruit, Bread/Grain, and Miscellaneous

  • Wie Seung-Hee;Shanklin Carol W.
    • Journal of Community Nutrition
    • /
    • v.8 no.1
    • /
    • pp.3-8
    • /
    • 2006
  • This retrospective study was designed to evaluate the nutrient contributions of the five meal components of school lunch menus planned for elementary students in two school districts (District A and B) in the Midwestern state of the United States. The 4-week cycle menu was planned for two time periods (Period 1 and Period 2) following guidelines for NuMenus and general menu planning principles. Menu components of planned and served menus for two time periods were analyzed using $Nutri-Kids^{TM}$. No significant differences in the nutrient content of between Periods 1 and 2 were found for District A. District B served significantly more vitamin A and total fat in Period 1 and significantly more calories, iron, vitamin A, protein, and total fat in Period 2 than was planned. The major nutrients provided by the entree component included protein, calories, cholesterol, total fat, saturated fat, and sodium. Milk was an important source of calcium and provided approximately one-third of the total protein and vitamin A in the meal. The vegetable/fruit component was the major source of vitamins A and C. The grain/bread component provided approximately 20% of the carbohydrates among five meal components. The miscellaneous component affected the sodium and fat content of the menus. Menu planners can use the results of this study to enhance their knowledge of the nutrient contributions of each meal component and as inputs for planning menus that meet children's nutritional requirements.

The Parametrized Boundary of a Period-2 Component in the Degree-3 Bifurcation Set

  • 김영익
    • Proceedings of the Korean Society of Computational and Applied Mathematics Conference
    • /
    • 2003.09a
    • /
    • pp.5.3-5
    • /
    • 2003
  • The boundary of a typical period-2 component in the degree-3 bifurcation set is formulated by a parametrization of its image which is the unit circle under the multiplier map, Some properties on the geometry of the boundary are investigated including the root point, the cusp, the component center and the length as well as the area bounded by the boundary curve. An algorithm drawing the boundary curve with Mathematica codes is proposed and its implementation exhibits a good agreement with the analysis presented here.

  • PDF

Very-Far Remote Reference Magnetotelluric Surveys across the Hemispheres

  • Lee, Tae-Jong;Lee, Seong-Kon;Song, Yoon-Ho;Cull, James
    • 한국지구물리탐사학회:학술대회논문집
    • /
    • 2007.06a
    • /
    • pp.273-278
    • /
    • 2007
  • 2-D MT surveys at the Century mine in Australia have been performed with very far remote reference in Esashi, Japan as well as Gregory Downs, which are roughly 6400 km and 80 km apart from the field site, respectively. Long period pulsations observed in this survey generally showed dominant $H_x$ polarization than $H_y$; $H_x$ component is more than 3 times stronger than $H_y$ component. Polarity reversal in magnetic field pointing east ($H_y$ component) has also been observed in long period pulsations, while $H_x$ component remain coherent between the hemispheres. Though $H_x$ component shows relatively good coherency than $H_y$ component between the hemispheres at frequencies lower than 0.01 Hz, it seems rather too far to be used as a remote reference for ordinary MT frequency band.

  • PDF

Elastic floor response spectra of nonlinear frame structures subjected to forward-directivity pulses of near-fault records

  • Kanee, Ali Reza Taghavee;Kani, Iradj Mahmood Zadeh;Noorzad, Assadollah
    • Earthquakes and Structures
    • /
    • v.5 no.1
    • /
    • pp.49-65
    • /
    • 2013
  • This article presents the statistical characteristics of elastic floor acceleration spectra that represent the peak response demand of non-structural components attached to a nonlinear supporting frame. For this purpose, a set of stiff and flexible general moment resisting frames with periods of 0.3-3.6 sec. are analyzed using forty-nine near-field strong ground motion records. Peak accelerations are derived for each single degree of freedom non-structural component, supported by the above mentioned frames, through a direct-integration time-history analysis. These accelerations are obtained by Floor Acceleration Response Spectrum (FARS) method. They are statistically analyzed in the next step to achieve a better understanding of their height-wise distributions. The factors that affect FARS values are found in the relevant state of the art. Here, they are summarized to evaluate the amplification and/or reduction of FARS values especially when the supporting structures undergo inelastic behavior. The properties of FARS values are studied in three regions: long-period, fundamental-period and short-period. Maximum elastic acceleration response of non-structural component, mounted on inelastic frames, depends on the following factors: inelasticity intensity and modal periods of supporting structure; natural period, damping ratio and location of non-structural component. The FARS values, corresponded to the modal periods of supporting structure, are strongly reduced beyond elastic domain. However, they could be amplified in the transferring period domain between the mentioned modal periods. In the next step, the amplification and/or reduction of FARS values, caused by inelastic behavior of supporting structure, are calculated. A parameter called the response acceleration reduction factor ($R_{acc}$), has been previously used for far-field earthquakes. The feasibility of extending this parameter for near-field motions is focused here, suggested repeatedly in the relevant sources. The nonlinearity of supporting structure is included in ($R_{acc}$) for better estimation of maximum non-structural component absolute acceleration demand, which is ordinarily neglected in the seismic design provisions.

Discovery of 500-day period component in the Earth's polar motion

  • Na, Seong-Ho;Jo, Jeong-Ho;Baek, Jeong-Ho;Gwak, Yeong-Hui;Park, Pil-Ho
    • The Bulletin of The Korean Astronomical Society
    • /
    • v.35 no.2
    • /
    • pp.53.1-53.1
    • /
    • 2010
  • Earth's polar motion has been known for more than one century, and it has been monitored by astrometric observation and recently by space geodetic technique. The Chandler and the annual wobbles are two dominant parts of Earth's polar motion. But according to our recent analysis on a relevant and accurate dataset, another polar motion component, of which period is about 500 days, exists with an amplitude of 20 milliarcseconds in average. This third largest component of polar motion should be caused by resonance of unidentified oscillating mode of Earth, possibly Earth's inner core wobble.

  • PDF

Higher-mode effects for soil-structure systems under different components of near-fault ground motions

  • Khoshnoudian, Faramarz;Ahmadi, Ehsan;Sohrabi, Sina;Kiani, Mahdi
    • Earthquakes and Structures
    • /
    • v.7 no.1
    • /
    • pp.83-99
    • /
    • 2014
  • This study is devoted to estimate higher-mode effects for multi-story structures with considering soil-structure interaction subjected to decomposed parts of near-fault ground motions. The soil beneath the super-structure is simulated based on the Cone model concept. Two-dimensional structural models of 5, 15, and 25-story shear buildings are idealized by using nonlinear stick models. The ratio of base shears for the soil-MDOF structure system to those obtained from the equivalent soil-SDOF structure system is selected as an estimator to quantify the higher-mode effects. The results demonstrate that the trend of higher-mode effects is regular for pulse component and has a descending variation with respect to the pulse period, whereas an erratic pattern is obtained for high-frequency component. Moreover, the effect of pulse component on higher modes is more significant than high-frequency part for very short-period pulses and as the pulse period increases this phenomenon becomes vice-versa. SSI mechanism increases the higher-mode effects for both pulse and high-frequency components and slenderizing the super-structure amplifies such effects. Furthermore, for low story ductility ranges, increasing nonlinearity level leads to intensify the higher-mode effects; however, for high story ductility, such effects mitigates.

On the Period Change of the Contact Binary GW Cephei

  • Kim, Chun-Hwey;Song, Mi-Hwa;Yoon, Joh-Na;Jeong, Jang-Hae;Jeoung, Taek-Soo;Kim, Young-Jae;Kim, Jung-Yeb
    • Journal of Astronomy and Space Sciences
    • /
    • v.27 no.2
    • /
    • pp.89-96
    • /
    • 2010
  • BVR CCD observations of GW Cep were made on 15 nights in November through December 2008 with a 1-m reflector at the Jincheon station of the Chungbuk National University Observatory. Nineteen new times of minimum lights for GW Cep were determined and added to a collection of all other times of minima available to us. These data were then intensively analyzed, by reference to an O-C diagram, to deduce the general form of period variation for GW Cep. It was found that the O-C diagram could be interpreted as presenting two different forms of period change: an exclusively quasi-sinusoidal change with a period of 32.6 years and an eccentricity of 0.10; and a quasi-sinusoidal change with a period of 46.2 years and an eccentricity of 0.36 superposed on an upward parabola. Although a final conclusion is somewhat premature at present, the latter seems more plausible because late-type contact binaries allow an inter-exchange of both energy and mass between the component stars. The quasi-sinusoidal characteristics were interpreted in terms of a light-time effect due to an unseen tertiary component. The minimum masses of the tertiary component for both cases were calculated to be nearly the same as the $0.23-0.26M\;{\odot}$-ranges which is hardly detectable in a light curve synthesis. The upward parabolic O-C diagram corresponding to a secular period increase of about $4.12{\times}10^{-8}\;d/yr$ was interpreted as mass being transferred from the lesser to more massive component. The transfer rate for a conservative case was calculated to be about $2.66\;{\times}\;10^{-8}\;M_{\odot}/yr$ which is compatible with other W UMa-type contact binaries.