• Title/Summary/Keyword: zero-dimensional space

Search Result 59, Processing Time 0.026 seconds

REGULARIZATION FOR THE PROBLEM OF FINDING A SOLUTION OF A SYSTEM OF NONLINEAR MONOTONE ILL-POSED EQUATIONS IN BANACH SPACES

  • Tran, Thi Huong;Kim, Jong Kyu;Nguyen, Thi Thu Thuy
    • Journal of the Korean Mathematical Society
    • /
    • v.55 no.4
    • /
    • pp.849-875
    • /
    • 2018
  • The purpose of this paper is to present an operator method of regularization for the problem of finding a solution of a system of nonlinear ill-posed equations with a monotone hemicontinuous mapping and N inverse-strongly monotone mappings in Banach spaces. A regularization parameter choice is given and convergence rate of the regularized solutions is estimated. We also give the convergence and convergence rate for regularized solutions in connection with the finite-dimensional approximation. An iterative regularization method of zero order in a real Hilbert space and two examples of numerical expressions are also given to illustrate the effectiveness of the proposed methods.

GEOCODING OF SAR IMAGE USING THE ORBIT AND ATTITUDE DETERMINATION OF RADARSAT (RADARSAT 위성의 궤도결정과 자세결정을 이용한 SAR 영상의 자리매김)

  • 소진욱;최규홍;원중선
    • Journal of Astronomy and Space Sciences
    • /
    • v.15 no.1
    • /
    • pp.183-196
    • /
    • 1998
  • The Synthetic Aperture Radar(SAR) image and the Digital Elevation Model(DEM) of an target area are put into use to generate three dimensional image map. An method of image map generation is explained. The orbit and attitude determination of satellite makes it possible to model signal acquisition configuration precisely, which is a key to mapping image coordinates to geographic coordinates of concerned area. An application is made to RADARSAT in the purpose of testing its validity. To determine the orbit, zero Doppler range is used. And to determine the attitude, Doppler centroid frequency, which is the frequency observed when target is put in the center of antenna's view, is used. Conventional geocoding has been performed on the basis of direct method(mapping image coordinates to geographic coordinates), but in this reserch the inverse method(mapping from geographic coordinates to image coordinates) is taken. This paper shows that precise signal acquisition modeling based on the orbit and attitude determination of satellite as a platform leads to a satellite-centered accurate geocoding process. It also shows how to model relative motion between space-borne radar and target. And the relative motion is described in ECIC(earth-centered-initial coordinates) using Doppler equation and signal acquisition geometry.

  • PDF

Higher order flutter analysis of doubly curved sandwich panels with variable thickness under aerothermoelastic loading

  • livani, Mostafa;MalekzadehFard, Keramat;Shokrollahi, Saeed
    • Structural Engineering and Mechanics
    • /
    • v.60 no.1
    • /
    • pp.1-19
    • /
    • 2016
  • In this study, the supersonic panel flutter of doubly curved composite sandwich panels with variable thickness is considered under aerothermoelastic loading. Considering different radii of curvatures of the face sheets in this paper, the thickness of the core is a function of plane coordinates (x,y), which is unique. For the first time in the current model, the continuity conditions of the transverse shear stress, transverse normal stress and transverse normal stress gradient at the layer interfaces, as well as the conditions of zero transverse shear stresses on the upper and lower surfaces of the sandwich panel are satisfied. The formulation is based on an enhanced higher order sandwich panel theory and the vertical displacement component of the face sheets is assumed as a quadratic one, while a cubic pattern is used for the in-plane displacement components of the face sheets and the all displacement components of the core. The formulation is based on the von $K{\acute{a}}rm{\acute{a}}n$ nonlinear approximation, the one-dimensional Fourier equation of the heat conduction along the thickness direction, and the first-order piston theory. The equations of motion and boundary conditions are derived using the Hamilton principle and the results are validated by the latest results published in the literature.

SAMPLING ERROR ANALYSIS FOR SOIL MOISTURE ESTIMATION

  • Kim, Gwang-Seob;Yoo, Chul-sang
    • Water Engineering Research
    • /
    • v.1 no.3
    • /
    • pp.209-222
    • /
    • 2000
  • A spectral formalism was applied to quantify the sampling errors due to spatial and/or temporal gaps in soil moisture measurements. The lack of temporal measurements of the two-dimensional soil moisture field makes it difficult to compute the spectra directly from observed records. Therefore, the space-time soil moisture spectra derived by stochastic models of rainfall and soil moisture was used in their record. Parameters for both models were tuned with Southern Great Plains Hydrology Experiment(SGP'97) data and the Oklahoma Mesonet data. The structure of soil moisture data is discrete in space and time. A design filter was developed to compute the sampling errors for discrete measurements in space and time. This filter has the advantage in its general form applicable for all kinds of sampling designs. Sampling errors of the soil moisture estimation during the SGP'97 Hydrology Experiment period were estimated. The sampling errors for various sampling designs such as satedlite over pass and point measurement ground probe were estimated under the climate condition between June and August 1997 and soil properties of the SGP'97 experimental area. The ground truth design was evaluated to 25km and 50km spatial gap and the temporal gap from zero to 5 days.

  • PDF

Numerical Investigation of Dual Mode Ramjet Combustor Using Quasi 1-Dimensional Solver (근사 1차원 솔버를 이용한 이중모드 램제트 연소실 해석)

  • Yang, Jaehoon;Nam, Jaehyun;Kang, Sanghun;Yoh, Jai-ick
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.49 no.11
    • /
    • pp.909-917
    • /
    • 2021
  • In this work, a one-dimensional combustor solver was constructed for the scramjet control m odel. The governing equations for fluid flow, Arrhenius based combustion kinetics, and the inje ction model were implemented into the solver. In order to validate the solver, the zero-dimensi onal ignition delay problem and one-dimensional scramjet combustion problem were considered and showed that the solver successfully reproduced the results from the literature. Subsequentl y, a ramjet analysis algorithm under subsonic speed conditions was constructed, and a study o n the inlet Mach number of the combustor was carried out through the thermal choking locatio ns at ram conditions. In such conditions, a model for precombustion shock train analysis was i mplemented, and the algorithm for transition section analysis was introduced. In addition, in or der to determine the appropriateness of the ram mode analysis in the code, the occurrence of a n unstart was studied through the length of the pseudo-shock in the isolator. A performance a nalysis study was carried out according to the geometry of the combustor.

Nomadism in Yeohlee Teng's Works (욜리 텡(Yeohlee Teng) 디자인에 표현된 노마디즘)

  • Yim, Eunhyuk
    • Journal of Fashion Business
    • /
    • v.20 no.1
    • /
    • pp.35-52
    • /
    • 2016
  • Yeohlee Teng's 'Urban Nomad' concept stresses high mobility and flexibility in 'Clothing-as-shelter' in order to satisfy the needs of urban dwellers. Yeohlee interprets clothing as a portable environment that protects and shelters urban nomads as well as creates space of clothing as intimate architecture. This study examines Nomadism in Yeohlee's designs since 1981 when she received the attention from the fashion critics, by conducting literary survey as well as case analysis. Nomadism in Yeohlee's work showed the following characterizes. First, 'modular system' deals with the organized dressing system that enables interchanging and layering of separates that function in the fifth season; second, 'organic geometry' describes the architectonic approach to clothing as wearable structure that transforms two dimensional geometry into three dimensional form; third, 'functionalism' refers to the use of technological novel materials, ergonomic clothing construction, and the strategy of using structure as decoration; and fourth, 'reductionism' is the economical approach for realizing Nomadism, which is composed of one-size-fits-all as well as unisex size system and 'zero waste' strategy to maximize use of a piece of cloth.

6G in the sky: On-demand intelligence at the edge of 3D networks (Invited paper)

  • Strinati, Emilio Calvanese;Barbarossa, Sergio;Choi, Taesang;Pietrabissa, Antonio;Giuseppi, Alessandro;De Santis, Emanuele;Vidal, Josep;Becvar, Zdenek;Haustein, Thomas;Cassiau, Nicolas;Costanzo, Francesca;Kim, Junhyeong;Kim, Ilgyu
    • ETRI Journal
    • /
    • v.42 no.5
    • /
    • pp.643-657
    • /
    • 2020
  • Sixth generation will exploit satellite, aerial, and terrestrial platforms jointly to improve radio access capability and unlock the support of on-demand edge cloud services in three-dimensional (3D) space, by incorporating mobile edge computing (MEC) functionalities on aerial platforms and low-orbit satellites. This will extend the MEC support to devices and network elements in the sky and forge a space-borne MEC, enabling intelligent, personalized, and distributed on-demand services. End users will experience the impression of being surrounded by a distributed computer, fulfilling their requests with apparently zero latency. In this paper, we consider an architecture that provides communication, computation, and caching (C3) services on demand, anytime, and everywhere in 3D space, integrating conventional ground (terrestrial) base stations and flying (non-terrestrial) nodes. Given the complexity of the overall network, the C3 resources and management of aerial devices need to be jointly orchestrated via artificial intelligence-based algorithms, exploiting virtualized network functions dynamically deployed in a distributed manner across terrestrial and non-terrestrial nodes.

Development of Portable Arrhythmia Moniter Using Microcomputer(I) (마이크로 컴퓨터를 이용한 휴대용 부정맥 모니터의 개발(I)-하드웨어 설계를 중심으로-)

  • 이명호;안재봉
    • Journal of Biomedical Engineering Research
    • /
    • v.7 no.2
    • /
    • pp.169-182
    • /
    • 1986
  • Pulsed ultrasonic Doppler system is a useful diagnostic instrument to measure blood-flow-velocity, velocity profile, and volume-blood-flow. This system is more powerful compare with 2-dimensional B-scan tissue image. A system has been deve- loped and ii being evaluated using TMS 32010 DSP. We use this DSP for the purpose of real-time spectrum analyzer to obtain spectrogram in singlegate pulsed Doppler system and for the serial comb filter to cancel clutter and zero crossing counter to estimate Doppler mean frequency in multigate pulsed Doppler system. The Doppler shift of the backscattered signals is sensed in a phase detector. This Doppler signal corresponds to the mean velocity over a some region in space defined by the ultrasonic beam dimensions, transmitted pulse duration, and transducer ban(iwidth. Multi- gate pulsed Doppler system enable the transcutaneous and simultaneous assessment of the velocities in a number of adjacent sample volumes as a continuous function of time. A multigate pulsed Doppler system processing the information originating from presented.

  • PDF

A GEOMETRIC APPROACH TO TIMELIKE FLOWS IN TERMS OF ANHOLONOMIC COORDINATES

  • Yavuz, Ayse;Erdogdu, Melek
    • Honam Mathematical Journal
    • /
    • v.44 no.2
    • /
    • pp.259-270
    • /
    • 2022
  • This paper is devoted to the geometry of vector fields and timelike flows in terms of anholonomic coordinates in three dimensional Lorentzian space. We discuss eight parameters which are related by three partial differential equations. Then, it is seen that the curl of tangent vector field does not include any component in the direction of principal normal vector field. This implies the existence of a surface which contains both s - lines and b - lines. Moreover, we examine a normal congruence of timelike surfaces containing the s - lines and b - lines. Considering the compatibility conditions, we obtain the Gauss-Mainardi-Codazzi equations for this normal congruence of timelike surfaces in the case of the abnormality of normal vector field is zero. Intrinsic geometric properties of these normal congruence of timelike surfaces are obtained. We have dealt with important results on these geometric properties.

A STUDY OF THE TUBULAR SURFACES ACCORDING TO MODIFIED ORTHOGONAL FRAME WITH TORSION

  • Gulnur SAFFAK ATALAY
    • Honam Mathematical Journal
    • /
    • v.46 no.2
    • /
    • pp.279-290
    • /
    • 2024
  • In this study, tubular surfaces were introduced according to the modified orthogonal frame defined at the points where the torsion is different from zero in the 3-dimensional Euclidean space. First, the relations between the Frenet frame and the modified orthogonal frame with torsion are given. Then, the singularity, Gaussian curvature, mean curvature and basic forms of the tubular surface given according to the modified orthogonal frame with torsion were calculated. In addition, the conditions for the parameter curves of the tubular surface to be geodesic, asymptotic and line of curvature were examined. Finally, tubular surface examples based on both the Frenet frame and the modified orthogonal frame with torsion were given to support the study.