• Title/Summary/Keyword: Pseudo Function

Search Result 328, Processing Time 0.023 seconds

STEPANOV-LIKE PSEUDO ALMOST AUTOMORPHIC SOLUTIONS OF CLASS r IN 𝛼-NORM UNDER THE LIGHT OF MEASURE THEORY

  • DJENDODE MBAINADJI;ISSA ZABSONRE
    • Journal of Applied and Pure Mathematics
    • /
    • v.5 no.3_4
    • /
    • pp.129-164
    • /
    • 2023
  • The aim of this work is to present some interesting results on weighted ergodic functions and prove the existence and uniqueness of Stepanov-like pseudo almost automorphic solutions using the spectral decomposition of the phase space developed by Adimy and co-authors. We also give the next challenge of this work.

Cn-PSEUDO ALMOST AUTOMORPHIC SOLUTIONS OF CLASS r IN THE 𝛼-NORM UNDER THE LIGHT OF MEASURE THEORY

  • DJENDODE MBAINADJI
    • Journal of Applied and Pure Mathematics
    • /
    • v.6 no.1_2
    • /
    • pp.71-96
    • /
    • 2024
  • In this paper we present many interesting results such as completeness and composition theorems in the 𝛼 norm. Moreover, under some conditions, we establish the existence and uniqueness of Cn-(𝜇, 𝜈) pseudo-almost automorphic solutions of class r in the 𝛼-norm for some partial functional differential equations in Banach space when the delay is distributed. An example is given to illustrate our results.

A Study On Arbitrary Artificial Earthquake Acceleration Generation -Based On Design Response Spectrum of Arbitrary Damping Value- (임의의 인공지진 가속도 발생에 관한 연구 -설계응답 스펙트럼에 기초하여 -)

  • 우운택;김영문;노재선
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 1989.04a
    • /
    • pp.5-10
    • /
    • 1989
  • In this study, the basic concept of design response spectrum is briefly revi-ewed. To generate the artificial earthquake acceleration, the method of superpo-sition of cosine waves is used. Theoretical developments using F.F.T. and spect-ral density function are compared. The amplitude was derived by use of the peak factor and the phase angle is d-erived by use of Monte Carlo simulation. To smoothen the match, the calculated pseudo velocity respon-se spectrum is compared with input pseudo velocity response spectrum at a set of control frequencies. With the modified spectral density function, a new acceleration and pseudo velocity response spectrum are generat-ed.

  • PDF

ON THE ORDER AND RATE OF CONVERGENCE FOR PSEUDO-SECANT-NEWTON'S METHOD LOCATING A SIMPLE REAL ZERO

  • Kim, Young Ik
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.19 no.2
    • /
    • pp.133-139
    • /
    • 2006
  • By combining the classical Newton's method with the pseudo-secant method, pseudo-secant-Newton's method is constructed and its order and rate of convergence are investigated. Given a function $f:\mathbb{R}{\rightarrow}\mathbb{R}$ that has a simple real zero ${\alpha}$ and is sufficiently smooth in a small neighborhood of ${\alpha}$, the convergence behavior is analyzed near ${\alpha}$ for pseudo-secant-Newton's method. The order of convergence is shown to be cubic and the rate of convergence is proven to be $\(\frac{f^{{\prime}{\prime}}(\alpha)}{2f^{\prime}(\alpha)}\)^2$. Numerical experiments show the validity of the theory presented here and are confirmed via high-precision programming in Mathematica.

  • PDF

Comparison of Cost Function of IMRT Optimization with RTP Research Tool Box (RTB)

  • Ko, Young-Eun;Yi, Byong-Yong;Lee, Sang-Wook;Ahn, Seung-Do;Kim, Jong-Hoon;Park, Eun-Kyung
    • Proceedings of the Korean Society of Medical Physics Conference
    • /
    • 2002.09a
    • /
    • pp.65-67
    • /
    • 2002
  • A PC based software, the RTP Research Tool Box (RTB), was developed for IMRT optimization research. The software was consisted of an image module, a beam registration module, a dose calculation module, a dose optimization module and a dose display module. The modules and the Graphical User Interface (GUI) were designed to easily amendable by negotiating the speed of performing tasks. Each module can be easily replaced to new functions for research purpose. IDL 5.5 (RSI, USA) language was used for this software. Five major modules enable one to perform the research on the dose calculation, on the dose optimization and on the objective function. The comparison of three cost functions, such as the uncomplicated tumor control probability (UTCP), the physical objective function and the pseudo-biological objective function, which was designed in this study, were performed with the RTB. The optimizations were compared to the simulated annealing and the gradient search optimization technique for all of the optimization objective functions. No significant differences were found among the objective functions with the dose gradient search technique. But the DVH analysis showed that the pseudo-biological objective function is superior to the physical objective function when with the simulated annealing for the optimization.

  • PDF

A Combined Pseudo-random Noise Signal Based Advanced Region Correlation Scheme for BOC(pn,n) Modulated GNSS Signals in Repeat-back Jamming Environment (재방송 재밍 환경에서 BOC(pn,n) GNSS 변조된 신호를 위한 CP-ARC 기법)

  • Yoo, Seungsoo;Yeom, Dong-Jin;Jee, Gyu-In;Kim, Sun Yong
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.22 no.11
    • /
    • pp.977-983
    • /
    • 2016
  • This paper proposes a novel code-tracking scheme to track the fine code synchronization for BOC (pn,n)-modulated global navigation satellite system signals in a repeat-back jamming environment. The correlation function of BOC (pn,n)-modulated signals has several peaks. The correlation function in the advanced offset region remains almost unchanged due to the repeat-back signals being received later than a line-of-sight signal in the same multipath signal receiving case. Additionally, the combined pseudo-random noise signal can be treated as repeat-back jamming signals, like multipath signals. In this paper, we propose a novel code-tracking scheme utilizing the advantages of using a combined pseudo-random noise signal in the advanced offset region and verify its performance through simulation.

Firmware Fuzzing Method through Pseudo-HAL Identification (유사 HAL 함수 탐색을 통한 펌웨어 퍼징 기법)

  • Jeong, Seyeon;Hwang, Eunbi;Cho, Yeongpil;Kwon, Taekyoung
    • Journal of the Korea Institute of Information Security & Cryptology
    • /
    • v.32 no.6
    • /
    • pp.1121-1125
    • /
    • 2022
  • HAL-Fuzz, a fuzzing technique to find firmware vulnerabilities, is efficient by using the HAL function of the hardware abstraction layer provided by MCU vendors. However, it cannot handle most firmware that unused the exact HAL function. In this paper, we propose a new method for identifying pseudo-HAL functions to increase the fuzzing availability of HAL-Fuzz. In experiments, we identified not only the HAL but also the pseudo-HAL functions, implemented by the developer, and that fuzzing is possible.

Translation-invariant Wavelet Denoising Method Based on a New Thresholding Function for Underwater Acoustic Measurement (수중 음향 측정을 위한 새로운 임계치 함수에 의한 TI 웨이블렛 잡음제거 기법)

  • Choi, Jae-Yong
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.16 no.11 s.116
    • /
    • pp.1149-1157
    • /
    • 2006
  • Donoho et al. suggested a wavelet thresholding denoising method based on discrete wavelet transform. This paper proposes an improved denoising method using a new thresholding function based on translation-invariant wavelet for underwater acoustic measurement. The conventional wavelet thresholding denoising method causes Pseudo-Gibbs phenomena near singularities due to the lack of translation-invariant of the wavelet basis. To suppress Pseudo-Gibbs phenomena, a denoising method combining a new thresholding function based on the translation-invariant wavelet transform is proposed in this paper. The new thresholding function is a modified hard-thresholding to each node according to the discriminated threshold so as to reject unknown external noise and white gaussian noise. The experimental results show that the proposed method can effectively eliminate noise, extract characteristic information of radiated noise signals.

Improved Preimage Attacks on RIPEMD-160 and HAS-160

  • Shen, Yanzhao;Wang, Gaoli
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • v.12 no.2
    • /
    • pp.727-746
    • /
    • 2018
  • The hash function RIPEMD-160 is a worldwide ISO/IEC standard and the hash function HAS-160 is the Korean hash standard and is widely used in Korea. On the basis of differential meet-in-the-middle attack and biclique technique, a preimage attack on 34-step RIPEMD-160 with message padding and a pseudo-preimage attack on 71-step HAS-160 without message padding are proposed. The former is the first preimage attack from the first step, the latter increases the best pseudo-preimage attack from the first step by 5 steps. Furthermore, we locate the linear spaces in another message words and exchange the bicliques construction process and the mask vector search process. A preimage attack on 35-step RIPEMD-160 and a preimage attack on 71-step HAS-160 are presented. Both of the attacks are from the intermediate step and satisfy the message padding. They improve the best preimage attacks from the intermediate step on step-reduced RIPEMD-160 and HAS-160 by 4 and 3 steps respectively. As far as we know, they are the best preimage and pseudo-preimage attacks on step-reduced RIPEMD-160 and HAS-160 respectively in terms of number of steps.

Magnetoresistance Effect of Ta/NiFe/Cu/Co Pseudo Spin Valve Structure (Ta/NiFe/Cu/Co Pseudo 스핀밸브 구조의 자기저항 효과)

  • Joo, Ho-Wan;Choi, Jin-Hyup;Choi, Sang-Dae;Lee, Ky-Am
    • Journal of the Korean Magnetics Society
    • /
    • v.14 no.1
    • /
    • pp.25-28
    • /
    • 2004
  • The dependence of sensitivity, MR ratio, coercivity (Hc) and switching fields as a function of thickness of each magnetic layers(Co, NiFe and Cu) were investigated in pseudo spin valves with a structure of Ta/NiFe/Cu/Co. As measured results dependence of the thickness of each magnetic layer, we obtained MR ratio of 7.26% for Ta(4 nm)/NiFe(7.5 nm)/Cu(3 nm)/Co(5 nm) pseudo spin valves. Also, we could control properties of magnetoresistance for independent magnetization courses of each magnetic layer. Especially, we found that we could control coercivity as constant MR ratio dependence of Co thickness.