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BERNSTEIN-TYPE INEQUALITIES PRESERVED BY MODIFIED SMIRNOV OPERATOR

  • Shah, Wali Mohammad;Fatima, Bhat Ishrat Ul
    • Korean Journal of Mathematics
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    • v.30 no.2
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    • pp.305-313
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    • 2022
  • In this paper we consider a modified version of Smirnov operator and obtain some Bernstein-type inequalities preserved by this operator. In particular, we prove some results which in turn provide the compact generalizations of some well-known inequalities for polynomials.

THE DYNAMIC EFFECTS AND SHOCKS IN ELECTRONICS

  • Roizman, V.
    • Proceedings of the KIPE Conference
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    • 1998.10a
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    • pp.458-463
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    • 1998
  • The paper describes the methods and means of measurement and study of vibrations, stresses and shocks affecting electronic equipment during its use and in the testing stage as well as original units to determine shapes and frequencies of vibrations of functional boards. Particular attention has been given to the development of methods and means to protect sturctures against vibrations and shocks.

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EXISTENCE OF PERIODIC SOLUTIONS IN FERROELECTRIC LIQUID CRYSTALS

  • Park, Jinhae
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.3
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    • pp.571-588
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    • 2010
  • We introduce the Landau-de Gennes model in order to understand molecular structures in ferroelectric liquid crystals. We investigate equilibrium configurations of the governing energy functional by means of bifurcation analysis. In particular, we obtain periodic solutions of the functional, which is a signature of a rich variety of applications of ferroelectric materials.

Towards a Structure-Function Relationship for Vascular Endothelial Growth Factor-B (VEGF-B)

  • Scrofani, Sergio D.B.;Nash, Andrew D.
    • Journal of Microbiology and Biotechnology
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    • v.11 no.4
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    • pp.543-551
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    • 2001
  • The vascular endothelial growth factor (VEGF), or VEGF-A, is intimately involved in both physiological and pathological forms of angiogenesis. VEGF-A is now recognized as the founding member of a family of growth factors that has expanded to include VEGF-B, VEGF-C, VEGF-D, VEGF-E, and placental growth factor (PIGF). This family of cytokines binds differentially to at least three receptor tyrosine kinases, however, the extent to which family members other than VEGF-A contribute to physiological and pathological angiogenesis remains unclear. Issues that are of relevance include uncertainty regarding the consequences of signaling through VEGF - RI in particular, and the ability of some family members to heterodimerize, leading to the possibility ofheterodimeric receptor complexes. Structural characterization is one approach that can be used to address these issues, however, the vast majority of previous structure-function studies have only focused on VEGF-A. While these studies may provide some clues regarding the structural basis of the interaction of other family members with their receptors, studies using the ligands themselves are clearly required if highly specific interactions are to be revealed. With the recent progress toward refolding and purifying substantial' quantities of other VEGF family members, such structural studies are now possible. Here, these ~ssues are addressed with a particular emphasis on VEGF-B and its receptors.

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Consideration of Launch and Recovery Systems for Operation of Underwater Robot from Manned Platform (유인플랫폼에서의 수중로봇 운용을 위한 진수 및 회수 체계 고찰)

  • Lee, Ki-Young
    • Journal of Ocean Engineering and Technology
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    • v.30 no.2
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    • pp.141-149
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    • 2016
  • In this technical note, the issues and challenges for the launch and recovery systems (LARS) and related techniques for the operation of an underwater robot from a manned platform are considered. Various types of LARS fitted to specific manned platforms, surface or sub-surface, are surveyed and categorized. The current UUV launch and recovery systems from surface ships and submarines utilize time consuming processes. As underwater robot technologies evolve and their roles are defined, safe and effective launch and recovery methods should be developed capable of reliable and efficient operations, particularly at a high sea state. To improve the existing underwater robot capabilities, LARS technology maturation is required in the near term, leading to the ability to incorporate autonomous LARS for an underwater robot on a manned platform. In the near term, particular emphasis should be placed on UUV LARS, which are surface ship based, with submarine based systems in the long term. Furthermore, for a dedicated LARS ship, independent of the existing host ship type, particular emphasis should be given to fully utilizing the capabilities of underwater robots.

A Qualitative Study on the Process of Gambling Addiction - Including a Concurrent Phenomenon - (도박중독 과정에 관한 질적연구 - 동시적 현상을 포함하여 -)

  • Song, Jin-Ah
    • Korean Journal of Social Welfare
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    • v.63 no.3
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    • pp.213-237
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    • 2011
  • The aim of this study was to elucidate characteristics of ongoing and progressive gambling addiction. So a researcher reviewed existing studies on the gambling addiction and reflected the epistemological assumptions behind it. In this study, 4 men gamblers were participated and in-depth interviews were conducted, the data were analyzed using case studies. The results of this study were as followings; the process of gambling addiction was conducted based on a particular stage. In particular, we could find that the phenomenon of gambling addiction has 'concurrency' in each phase. Phenomenons often seen in each step and each other extraneous event were interpreted as mutually complementary meaning. Also they affected the transmission to next steps of gambling addiction.

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ON STEIN TRANSFORMATION IN SEMIDEFINITE LINEAR COMPLEMENTARITY PROBLEMS

  • Song, Yoon J.;Shin, Seon Ho
    • Journal of applied mathematics & informatics
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    • v.32 no.1_2
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    • pp.285-295
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    • 2014
  • In the setting of semidenite linear complementarity problems on $S^n$, we focus on the Stein Transformation $S_A(X)\;:=X-AXA^T$, and show that $S_A$ is (strictly) monotone if and only if ${\nu}_r(UAU^T{\circ}\;UAU^T)$(<)${\leq}1$, for all orthogonal matrices U where ${\circ}$ is the Hadamard product and ${\nu}_r$ is the real numerical radius. In particular, we show that if ${\rho}(A)$ < 1 and ${\nu}_r(UAU^T{\circ}\;UAU^T){\leq}1$, then SDLCP($S_A$, Q) has a unique solution for all $Q{\in}S^n$. In an attempt to characterize the GUS-property of a nonmonotone $S_A$, we give an instance of a nonnormal $2{\times}2$ matrix A such that SDLCP($S_A$, Q) has a unique solution for Q either a diagonal or a symmetric positive or negative semidenite matrix. We show that this particular $S_A$ has the $P^{\prime}_2$-property.

Digital Watermarking Technique for Images with Perspective Distortion

  • Chotikakamthorn, Nopporn;Yawai, Wiyada
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1090-1093
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    • 2004
  • In this paper, a problem of geometrically distorted images is considered. In particular, the paper discusses the detection of a watermark from a photographed image of the watermarked picture. The image is possibly obtained by using a digital camera. This watermark detection problem is made difficult by various geometric distortions added to the original picture through the printing and photographing processes. In particular, the paper focuses on the geometric distortion due to a projective transformation, as part of a camera 3D-to-2D imaging process. It is well-known that a cross ratio of collinear points is invariant under a perspective projection. By exploiting this fact, a projective-invariant digital watermarking technique is developed. By detecting the picture's corners, and the image center point at the intersection of two main diagonal lines, predefined cross ratios are used to compute the watermark embedded locations. From those identified embedding pixel locations, a watermark can be detected by performing a correlation between a watermark pattern and the image over those pixels. The proposed method does not require an inverse transformation on the distorted image, thus simplifying the detection process. Performance of the proposed method has been analyzed through computer experiments

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Calculations of Free Energy Surfaces for Small Proteins and a Protein-RNA Complex Using a Lattice Model Approach

  • Lee, Eun-Sang;Jung, Youn-Joon
    • Bulletin of the Korean Chemical Society
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    • v.32 no.spc8
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    • pp.3051-3056
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    • 2011
  • We calculate the free energy surfaces for two small proteins and a protein-RNA complex system by using a lattice model approach. In particular, we employ the Munoz-Eaton model, which is a native-structure based statistical mechanical model for studying protein folding problem. The model can provide very useful insights into the folding mechanisms by allowing one to calculate the free energy surfaces efficiently. We first calculate the free energy surfaces of ubiquitin and BBL, using both approximate and recently developed exact solutions of the model. Ubiquitin exhibits a typical two-state folding behavior, while BBL downhill folding in our study. We then extend the method to study of a protein-RNA complex. In particular, we focus on PAZ-siRNA complex. In order to elucidate the interplay between folding and binding kinetics for this system we perform comparative studies of PAZ only, PAZ-siRNA complex and two mutated complexes. We find that folding and binding are strongly coupled with each other and the bound PAZ is more stable than the unbound PAZ. Our results also suggest that the binding sites of the siRNA may serve act as a nucleus in the folding process.

Constant speed, variable ascension rate, helical trajectories for airplanes

  • Labonte, Gilles
    • Advances in aircraft and spacecraft science
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    • v.5 no.1
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    • pp.73-105
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    • 2018
  • A particular type of constant speed helical trajectory, with variable ascension rate, is proposed. Such trajectories are candidates of choice as motion primitives in automatic airplane trajectory planning; they can also be used by airplanes taking off or landing in limited space. The equations of motion for airplanes flying on such trajectories are exactly solvable. Their solution is presented, together with an analysis of the restrictions imposed on the geometrical parameters of the helical paths by the dynamical abilities of an airplane. The physical quantities taken into account are the airplane load factor, its lift coefficient, and the thrust its engines can produce. Formulas are provided for determining all the parameters of trajectories that would be flyable by a particular airplane, the final altitude reached, and the duration of the trajectory. It is shown how to construct speed interval tables, which would appreciably reduce the calculations to be done on board the airplane. Trajectories are characterized by their angle of inclination, their radius, and the rate of change of their inclination. Sample calculations are shown for the Cessna 182, a Silver Fox like unmanned aerial vehicle, and the F-16 Fighting Falcon.