• Title/Summary/Keyword: kernel functions

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ERTAIN k-FRACTIONAL CALCULUS OPERATORS AND IMAGE FORMULAS OF GENERALIZED k-BESSEL FUNCTION

  • Agarwal, P.;Suthar, D.L.;Tadesse, Hagos;Habenom, Haile
    • Honam Mathematical Journal
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    • v.43 no.2
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    • pp.167-181
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    • 2021
  • In this paper, the Saigo's k-fractional integral and derivative operators involving k-hypergeometric function in the kernel are applied to the generalized k-Bessel function; results are expressed in term of k-Wright function, which are used to present image formulas of integral transforms including beta transform. Also special cases related to fractional calculus operators and Bessel functions are considered.

Thermo-mechanical response of size-dependent piezoelectric materials in thermo-viscoelasticity theory

  • Ezzat, Magdy A.;Al-Muhiameed, Zeid I.A.
    • Steel and Composite Structures
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    • v.45 no.4
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    • pp.535-546
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    • 2022
  • The memory response of nonlocal systematical formulation size-dependent coupling of viscoelastic deformation and thermal fields for piezoelectric materials with dual-phase lag heat conduction law is constructed. The method of the matrix exponential, which constitutes the basis of the state-space approach of modern control theory, is applied to the non-dimensional equations. The resulting formulation together with the Laplace transform technique is applied to solve a problem of a semi-infinite piezoelectric rod subjected to a continuous heat flux with constant time rates. The inversion of the Laplace transforms is carried out using a numerical approach. Some comparisons of the impacts of nonlocal parameters and time-delay constants for various forms of kernel functions on thermal spreads and thermo-viscoelastic response are illustrated graphically.

PDF-Distance Minimizing Blind Algorithm based on Delta Functions for Compensation for Complex-Channel Phase Distortions (복소 채널의 위상 왜곡 보상을 위한 델타함수 기반의 확률분포거리 최소화 블라인드 알고리듬)

  • Kim, Nam-Yong;Kang, Sung-Jin
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.12
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    • pp.5036-5041
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    • 2010
  • This paper introduces the complex-version of an Euclidean distance minimization algorithm based on a set of delta functions. The algorithm is analyzed to be able to compensate inherently the channel phase distortion caused by inferior complex channels. Also this algorithm has a relatively small size of Gaussian kernel compared to the conventional method of using a randomly generated symbol set. This characteristic implies that the information potential between desired symbol and output is higher so that the algorithm forces output more strongly to gather close to the desired symbol. Based on 16 QAM system and phase distorted complex-channel models, mean squared error (MSE) performance and concentration performance of output symbol points are evaluated. Simulation results show that the algorithm compensates channel phase distortion effectively in constellation performance and about 5 dB enhancement in steady state MSE performance.

An Analysis of a Structure and Implementation of Error-Detection Tool of Cryptography API-Next Generation(CNG) in Microsoft (마이크로소프트의 차세대 암호 라이브러리 구조에 관한 연구 및 오류-검출 도구 구현)

  • Lee, Kyungroul;You, Ilsun;Yim, Kangbin
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.26 no.1
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    • pp.153-168
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    • 2016
  • This paper introduces a structure, features and programming techniques for the CNG(Cryptography API: Next Generation), which is the substitution of the CAPI(Cryptography API) from Microsoft. The CNG allows to optimize a scope of functions and features because it is comprised of independent modules based on plug-in structure. Therefore, the CNG is competitive on development costs and agility to extend. In addition, the CNG supports various functions for the newest cryptographic algorithm, audit, kernel-mode programming with agility and possible to contribute for core cryptography services in a new environment. Therefore, based on these advantageous functions, we analyze the structure of CNG to extend it for the enterprise and the public office. In addition, we implement an error-detection tool for program which utilizes CNG library.

SCALE TRANSFORMATIONS FOR PRESENT POSITION-INDEPENDENT CONDITIONAL EXPECTATIONS

  • Cho, Dong Hyun
    • Journal of the Korean Mathematical Society
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    • v.53 no.3
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    • pp.709-723
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    • 2016
  • Let C[0, t] denote a generalized Wiener space, the space of real-valued continuous functions on the interval [0, t] and define a random vector $Z_n:C[0,t]{\rightarrow}{\mathbb{R}}^n$ by $Zn(x)=(\int_{0}^{t_1}h(s)dx(s),{\cdots},\int_{0}^{t_n}h(s)dx(s))$, where 0 < $t_1$ < ${\cdots}$ < $t_n$ < t is a partition of [0, t] and $h{\in}L_2[0,t]$ with $h{\neq}0$ a.e. In this paper we will introduce a simple formula for a generalized conditional Wiener integral on C[0, t] with the conditioning function $Z_n$ and then evaluate the generalized analytic conditional Wiener and Feynman integrals of the cylinder function $F(x)=f(\int_{0}^{t}e(s)dx(s))$ for $x{\in}C[0,t]$, where $f{\in}L_p(\mathbb{R})(1{\leq}p{\leq}{\infty})$ and e is a unit element in $L_2[0,t]$. Finally we express the generalized analytic conditional Feynman integral of F as two kinds of limits of non-conditional generalized Wiener integrals of polygonal functions and of cylinder functions using a change of scale transformation for which a normal density is the kernel. The choice of a complete orthonormal subset of $L_2[0,t]$ used in the transformation is independent of e and the conditioning function $Z_n$ does not contain the present positions of the generalized Wiener paths.

Response Technique for the Vulnerability of Broadcast Intent Security in Android (안드로이드 브로드캐스트 인텐트의 보안 취약성 대응기법)

  • Lim, Jae-Wan;Ryu, Hwang-Bin;Yoon, Chang-Pyo
    • Convergence Security Journal
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    • v.12 no.6
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    • pp.61-67
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    • 2012
  • Accordingly the number of smart-phone-based malicious codes is also increasing and their techniques for malicio us purpose are getting more clever and evolved. Among them, the malicious codes related to Android take the major portion and it can be estimated that they are based on open source so that the access to the system is easy. Intent is a technique to support the communication between application's components by transmitting message subjects in Android. Intent provides convenience to developers, but it can be utilized as security vulnerability that allows the developer with a malicious purpose to control the system as intended. The vulnerability of intent security is that personal information can be accessed using discretionally its proper function given to application and smart phone's functions can be maliciously controlled. This paper improves with the Intent security vulnerability caused by the smart phone users' discretional use of custom kernel. Lastly, it verifies the malicious behaviors in the process of installing an application and suggests a technique to watch the Intent security vulnerability in realtime after its installation.

A simple statistical model for determining the admission or discharge of dyspnea patients (호흡곤란 환자의 입퇴원 결정을 위한 간편 통계모형)

  • Park, Cheol-Yong;Kim, Tae-Yoon;Kwon, O-Jin;Park, Hyoung-Seob
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.2
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    • pp.279-289
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    • 2010
  • In this study, we propose a simple statistical model for determining the admission or discharge of 668 patients with a chief complaint of dyspnea. For this, we use 11 explanatory variables which are chosen to be important by clinical experts among 55 variables. As a modification process, we determine the discharge interval of each variable by the kernel density functions of the admitted and discharged patients. We then choose the optimal model for determining the discharge of patients based on the number of explanatory variables belonging to the corresponding discharge intervals. Since the numbers of the admitted and discharged patients are not balanced, we use, as the criteria for selecting the optimal model, the arithmetic mean of sensitivity and specificity and the harmonic mean of sensitivity and precision. The selected optimal model predicts the discharge if 7 or more explanatory variables belong to the corresponding discharge intervals.

The ionization chamber response function from the measured and the corrected by Monte Carlo simulation. (측정된 원통형 전리함 반응함수의 몬테카를로 시뮬레이션 보정)

  • 이병용;김미화;조병철;나상균;김종훈;최은경;장혜숙
    • Progress in Medical Physics
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    • v.7 no.1
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    • pp.9-17
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    • 1996
  • The response function of ionization chambers are measured in the narrow radiation field Nominal photon energies are 4MV, 6MV and 15MV. the Radii of the chambers are 0.5cm~3.05cm and the field size is 0.2$\times$20$\textrm{cm}^2$. The measurements are taken in the water phantom at 10cm depth. The beam kernel (radiation distribution profile) for narrow radiation field in the phantom are obtained from Monte Carlo simulation (EGS4, Electron Gamma Shower 4). The beam kernel components in the measured chamber response function are deconvolved in order to get the ideal chamber response function of the $\delta$-shaped function radiation field. The chamber response functions have energy dependent tendency before deconvolution, while they show energy invariant properties, after the components of beam kernels are removed by deconvolution method.

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Korea-specified Maximum Expected Utility Model for the Probability of Default (기대효용최대화를 통한 한국형 기업 신용평가 모형)

  • Park, You-Sung;Song, Ji-Hyun;Choi, Bo-Seung
    • The Korean Journal of Applied Statistics
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    • v.20 no.3
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    • pp.573-584
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    • 2007
  • A well estimated probability of default is most important for constructing a good credit scoring process. The maximum expected utility (MEU) model has been suggested as an alternative of the traditional logistic regression model. Because the MEU model has been constructed using financial data arising from North America and European countries, the MEU model may not be suitable to Korean private firms. Thus, we propose a Korea-specific MEU model by estimating the parameters involved in kernel functions. This Korea-specific MEU model is illustrated using 34,057 private firms to show the performance of the MEU model relative to the usual logistic regression model.

A novel method to aging state recognition of viscoelastic sandwich structures

  • Qu, Jinxiu;Zhang, Zhousuo;Luo, Xue;Li, Bing;Wen, Jinpeng
    • Steel and Composite Structures
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    • v.21 no.6
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    • pp.1183-1210
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    • 2016
  • Viscoelastic sandwich structures (VSSs) are widely used in mechanical equipment, but in the service process, they always suffer from aging which affect the whole performance of equipment. Therefore, aging state recognition of VSSs is significant to monitor structural state and ensure the reliability of equipment. However, non-stationary vibration response signals and weak state change characteristics make this task challenging. This paper proposes a novel method for this task based on adaptive second generation wavelet packet transform (ASGWPT) and multiwavelet support vector machine (MWSVM). For obtaining sensitive feature parameters to different structural aging states, the ASGWPT, its wavelet function can adaptively match the frequency spectrum characteristics of inspected vibration response signal, is developed to process the vibration response signals for energy feature extraction. With the aim to improve the classification performance of SVM, based on the kernel method of SVM and multiwavelet theory, multiwavelet kernel functions are constructed, and then MWSVM is developed to classify the different aging states. In order to demonstrate the effectiveness of the proposed method, different aging states of a VSS are created through the hot oxygen accelerated aging of viscoelastic material. The application results show that the proposed method can accurately and automatically recognize the different structural aging states and act as a promising approach to aging state recognition of VSSs. Furthermore, the capability of ASGWPT in processing the vibration response signals for feature extraction is validated by the comparisons with conventional second generation wavelet packet transform, and the performance of MWSVM in classifying the structural aging states is validated by the comparisons with traditional wavelet support vector machine.