• Title/Summary/Keyword: single integral

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Integral Regression Network for Facial Landmark Detection (얼굴 특징점 검출을 위한 적분 회귀 네트워크)

  • Kim, Do Yeop;Chang, Ju Yong
    • Journal of Broadcast Engineering
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    • v.24 no.4
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    • pp.564-572
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    • 2019
  • With the development of deep learning, the performance of facial landmark detection methods has been greatly improved. The heat map regression method, which is a representative facial landmark detection method, is widely used as an efficient and robust method. However, the landmark coordinates cannot be directly obtained through a single network, and the accuracy is reduced in determining the landmark coordinates from the heat map. To solve these problems, we propose to combine integral regression with the existing heat map regression method. Through experiments using various datasets, we show that the proposed integral regression network significantly improves the performance of facial landmark detection.

Physical stability response of a SLGS resting on viscoelastic medium using nonlocal integral first-order theory

  • Rouabhia, Abdelkrim;Chikh, Abdelbaki;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Heireche, Houari;Tounsi, Abdeldjebbar;Kouider Halim, Benrahou;Tounsi, Abdelouahed;Al-Zahrani, Mesfer Mohammad
    • Steel and Composite Structures
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    • v.37 no.6
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    • pp.695-709
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    • 2020
  • The buckling properties of a single-layered graphene sheet (SLGS) are examined using nonlocal integral first shear deformation theory (FSDT) by incorporating the influence of visco-Pasternak's medium. This model contains only four variables, which is even less than the conventional FSDT. The visco-Pasternak's medium is introduced by considering the damping influence to the conventional foundation model which modeled by the linear Winkler's coefficient and Pasternak's (shear) foundation coefficient. The nanoplate under consideration is subjected to compressive in- plane edge loads per unit length. The impacts of many parameters such as scale parameter, aspect ratio, the visco-Pasternak's coefficients, damping parameter, and mode numbers on the stability investigation of the SLGSs are examined in detail. The obtained results are compared with the corresponding available in the literature.

Investigation of two-phase natural circulation with the SMART-ITL facility for an integral type reactor

  • Jeon, Byong Guk;Yun, Eunkoo;Bae, Hwang;Yang, Jin-Hwa;Ryu, Sung-Uk;Bang, Yun-Gon;Yi, Sung-Jae;Park, Hyun-Sik
    • Nuclear Engineering and Technology
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    • v.54 no.3
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    • pp.826-833
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    • 2022
  • A two-phase natural circulation test using SMART integral test loop (SMART-ITL) was conducted to explore thermo-hydraulic phenomena of two-phase natural circulation in the SMART reactor. Specifically, the test examined the natural circulation in the primary loop under a stepwise coolant inventory loss while keeping the core power constant at 5% of the scaled full power. Based on the test results, three flow regimes were observed: single-phase natural circulation (SPNC), two-phase natural circulation (TPNC), and boiler-condenser natural circulation (BCNC). The flow rate remained steady in the SPNC, slightly increased in the TPNC, and dropped abruptly and maintained in the BCNC. Using a natural circulation flow map, the natural circulation characteristic in the SMART-ITL was compared with those in pressurized water reactor simulators. In the SMART-ITL, a BCNC regime appeared instead of siphon condensation and reflux condensation regimes because of the use of once-through steam generators.

A nonlocal integral Timoshenko beam model for free vibration analysis of SWCNTs under thermal environment

  • Liani, Mohamed;Moulay, Noureddine;Bourada, Fouad;Addou, Farouk Yahia;Bourada, Mohamed;Tounsi, Abdelouahed;Hussain, Muzamal
    • Advances in materials Research
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    • v.11 no.1
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    • pp.1-22
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    • 2022
  • In this paper, the nonlocal integral Timoshenko beam model is employed to study the free vibration characteristics of singled walled carbon nanotubes (SWCNTs) including the thermal effect. Based on the nonlocal continuum theory, the governing equations of motion are formulated by considering thermal effect. The influences of small scale parameter, the chirality of SWCNTs, the vibrational mode number, the aspect ratio of SWCNTs and temperature changes on the thermal vibration properties of single-walled nanotubes are examined and discussed. Results indicate significant dependence of natural frequencies on the nonlocal parameter, the temperature change, the aspect ratio and the chirality of SWCNTs. This work should be useful reference for the application and the design of nanoelectronics and nanoelectromechanical devices that make use of the thermal vibration properties of SWCNTs.

APPLICATION OF THE OPERATOR H (α, β) TO THE SARAN FUNCTION FE AND SOME OTHER RESULTS

  • Choi, June-Sang;Kim, Yong-Sup;Hasanov, Anvar
    • Honam Mathematical Journal
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    • v.33 no.4
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    • pp.441-452
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    • 2011
  • The enormous success of the theory of hypergeometric series in a single variable has stimulated the development of a corresponding theory in two and more variables. A wide variety of investigations in the theory of several variable hypergeometric functions have been essentially motivated by the fact that solutions of many applied problems involving partial differential equations are obtainable with the help of such hypergeometric functions. Here, in this trend, we aim at presenting further decomposition formulas for Saran function $F_E$, which are used to give some integral representations of the function $F_E$. We also present a system of partial differential equations for the Saran function $F_E$.

Investigation of the Validity of the Image Model for the Analysis of Spherical Wave Reflection

  • Suh, Jin-Sung;Cheung, Wan-Sup
    • The Journal of the Acoustical Society of Korea
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    • v.17 no.3E
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    • pp.27-34
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    • 1998
  • The validity of the image model is investigated both analytically and experimentally in a half space with an infinite single reflecting surface present. This paper exploits the Sommerfeld integral that represents the exact solution for the reflected field in the half space. The solution is shown to be obtained by direct numerical integration which yields more accurate and stable results. The predicted results from the image model are compared to those from the direct numerical integration of the Sommerfeld integral. It is also experimentally demonstrated that the image model gives acceptably accurate results. It is of significance that this paper reveals analytical and experimental validation of using the image model except near-grazing incidence.

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Scattering of by Dielectric-Coated Conducting Grating with an Arbitrary Profile (유전체가 덮혀진 임의의 Profile을 갖는 도체 격자에 의한 산란현상)

  • 이동국;이철훈조웅희조영기
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.375-378
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    • 1998
  • Scattering of TE waves by a periodic conducting surface with dielectric cover is considered. A method for the aalysis of scattering from periodic structures based on the numerical solution of the integral equations is further developed. Using periodicity (Floquet's theorem), the range of the integral equations is reduced to a single period where the kernels are the Green's functions for periodic arrays. The numerical solution of the intergral equations is obtained using the method of moments. From numerical results for the reflected power the effects of surface profile shape, period-to-depth ratio, and cover permittivity on the scattering behaviors are examined.

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Calculation of Stress Intensity Factor in 2-D Using $J_k$-Integral for a Rectilinear Elastic Anisotropic Body (2차원 선형 탄성 이방성 재료에서 $J_k$-적분을 이용한 응력확대계수 계산)

  • An, Deuk-Man;Choi, Chang-Yeon
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.7
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    • pp.134-142
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    • 2001
  • The integrals $J_k$(k=1,2) in the rectilinear anisotropis body in 2-D were determined using Lekhnitskii formalism. The relationship between $J_k$ and stress intensity factors are implified by the important equation between elastic compliance. The numerical evaluation of stress intensity factor for the single edge crack in mixed mode is determined by superposing known exact solutions.

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Crack driving force prediction based on finite element analysis using standard models

  • Brnic, Josip;Vukelic, Goran;Turkalj, Goran
    • Structural Engineering and Mechanics
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    • v.44 no.5
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    • pp.601-609
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    • 2012
  • Effect of different crack sizes on fracture criterion of some engineering materials was investigated in this work. Using finite element (FE) method coupled with a newly developed algorithm, J-integral values for different crack sizes were obtained for single-edge notched bend (SENB) and compact type (CT) specimen. Specimens with initial a/W ratio from 0.25 to 0.75 varying in crack size in steps of 0.125 were investigated. Several different materials, like 20MnMoNi55, 42CrMo4 and 50CrMo4, usually used in engineering structure, were investigated. For one of mentioned materials, numerical results were compared with experimental and their compatibility is visible.

A REDUCIBILITY OF SRIVASTAVA'S TRIPLE HYPERGEOMETRIC SERIES F(3)[x, y, z]

  • Choi, Junesang;Wang, Xiaoxia;Rathie, Arjun K.
    • Communications of the Korean Mathematical Society
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    • v.28 no.2
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    • pp.297-301
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    • 2013
  • When certain general single or multiple hypergeometric functions were introduced, their reduction formulas have naturally been investigated. Here, in this paper, we aim at presenting a very interesting reduction formula for the Srivastava's triple hypergeometric function $F^{(3)}[x,y,z]$ by applying the so-called Beta integral method to the Henrici's triple product formula for hypergeometric series.