• Title/Summary/Keyword: modular function

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General Formulas for Explicit Evaluations of Ramanujan's Cubic Continued Fraction

  • Naika, Megadahalli Sidda Naika Mahadeva;Maheshkumar, Mugur Chinna Swamy;Bairy, Kurady Sushan
    • Kyungpook Mathematical Journal
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    • v.49 no.3
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    • pp.435-450
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    • 2009
  • On page 366 of his lost notebook [15], Ramanujan recorded a cubic continued fraction and several theorems analogous to Rogers-Ramanujan's continued fractions. In this paper, we derive several general formulas for explicit evaluations of Ramanujan's cubic continued fraction, several reciprocity theorems, two formulas connecting V (q) and V ($q^3$) and also establish some explicit evaluations using the values of remarkable product of theta-function.

Improvement of Paillier Probabilistic Plumbic Key Cryptosystem for Efficiency (Paillier의 확률 공개키 암호 방식의 효율적인 개선)

  • 최덕환;조석향;최승복;원동호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.8C
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    • pp.756-764
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    • 2003
  • We investigate a probabilistic public key cryptosystem proposed by Paillier. It is based on the discrete logarithmic function and the messages are calculated from the modular product of two those functions, one of which has a fixed value depending on a given public key. The improvement is achieved by a good choice for the public key so that it is possible to get efficient schemes without losing the onewayness and semantic security. Also we suggest the method to get the public key for our schemes.

Harmonic Winding Factors and MMF Analysis for Five-phase Fractional-slot Concentrated Winding PMSM

  • Kang, Huilin;Zhou, Libing;Wang, Jin
    • Journal of international Conference on Electrical Machines and Systems
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    • v.3 no.1
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    • pp.20-26
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    • 2014
  • To enhance torque density by harmonic current injection, optimal slot/pole combinations for five-phase permanent magnet synchronous motors (PMSM) with fractional-slot concentrated windings (FSCW) are chosen. The synchronous and the third harmonic winding factors are calculated for a series of slot/pole combinations. Two five-phase PMSM, with general FSCW (GFSCW) and modular stator FSCW (MFSCW), are analyzed and compared in detail, including the stator structures, star of slots diagrams, and MMF harmonic analysis based on the winding function theory. The analytical results are verified by finite element method, the torque characteristics and phase back-EMF are also taken into considerations. Results show that the MFSCW PMSM can produce higher average torque, while characterized by more MMF harmonic contents and larger ripple torque.

A new modular neural network training algorithm for step-like discontinuous function approximation (계단형 불연속 함수의 근사화를 위한 새로운 모듈형 신경회로망 학습 알고리즘)

  • 이혁준
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.12
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    • pp.2613-2625
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    • 1997
  • Theoretically, a multi-layered feedforward network has been known to be able to approximate a continuous function to an arbitrary degree of accuracy. However, these networks fail to approximate discontinuous functions when they are trained by well-known training algorithms. This paper presents a training algorithm which doesn't work consists of one or more modules, which are trained in a sequential order within subspaces of the input space, and is trained very rapidely once all modules are trained and merged. The experimantal results of applying this method indicates the proposed training algorithm is superior to traditional ones such as baskpagation.

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Implementation of Main Computation Board for Safety Improvement of railway system (철도시스템의 안전성 향상을 위한 주연산보드 구현)

  • Park, Joo-Yul;Kim, Hyo-Sang;Lee, Joon-Hwan;Kim, Bong-Taek;Chung, Ki-Seok
    • Proceedings of the KSR Conference
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    • 2011.05a
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    • pp.1195-1201
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    • 2011
  • Since the release of safety standard IEC 61508 which defines functional safety of electronic safety-related systems, SIL(Safety Integrity Level) certification for railway systems has gained lots of attention lately. In this paper, we propose a new design technique of the computer board for train control systems with high reliability and safety. The board is designed with TMR(Triple Modular Redundancy) using a certified SIL3 Texas Instrument(TI)'s TMS570 MCU(Micro-Controller Unit) to guarantee safety and reliability. TMR for the control device is implemented on FPGA(Field Programmable Gate Array) which integrates a comparator, a CAN(Controller Area Network) communication module, built-in self-error checking, error discriminant function to improve the reliability of the board. Even if a malfunction of a processing module occurs, the safety control function based on the proposed technique lets the system operate properly by detecting and masking the malfunction. An RTOS (Real Time Operation System) called FreeRTOS is ported on the board so that reliable and stable operation and convenient software development can be provided.

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Development of Integrated Test Equipment for Airborne SAR System and Control Unit (항공탑재 SAR 시스템 및 통제장치 시험을 위한 통합시험장비 개발)

  • Lee, Hyon-Ik;Hwang, Tae-Jin
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.41 no.9
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    • pp.747-754
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    • 2013
  • This paper describes SCTE(System and Control unit Test Equipment) as an integrated test equipment for airborne SAR system and control unit. SCTE enhances reusability of test equipment by modular design for required functions and strengthens automatic testing and test convenience by providing functions such as script-based testing function and report generation function. Also, it includes a navigation data simulator which can simulate various flight conditions. In this paper, we details SCTE requirements, H/W and S/W design, implementation, and test results with control unit and SAR system.

A Study on the Architectural Planning of traditional herbal medicine distribution supporting facilities (한약재유통지원시설의 건축계획에 관한 연구)

  • Bae, Joa-Sup;Oh, Jong-Hee;Kang, Won-Pil
    • Journal of The Korea Institute of Healthcare Architecture
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    • v.14 no.2
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    • pp.53-64
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    • 2008
  • This study is the architectural planning of 5 distribution supporting facilities for traditional herbal medicine cultivated in the rural areas. The main function of the facility consists of storage, pre-treatment/processing, loading/unloading and the assistant function consists of inspection, office, exhibition/sale, technical equipment etc. The planning shows the modular plan and the section plan of the storage space reflecting the shape and size of storage container, the action radius of carrier and the possibilities of space lease. The total floor area of the storage is 3,192$m^2$ consisting of 27 space. The total floor area of the pre-treatment/processing is 1,488$m^2$ consisting of 7 space. The total floor area of the loading/unloading is 329$m^2$ consisting of 4 space. The total floor area of each facility storage is 8,284$m^2$ including of public space 2,170$m^2$. Also this planning shows the preliminary design, "fundamental model design" for 5 rural government BTL project. Therefore, this result of planning will be the guidelines of the RFP(Request For Proposal) for the private sector company interested in this BTL project.

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Engineering Hybrid Proteins by Modular Recombination and Evolutionary Optimization (모듈성 단백질의 재설계 및 개량)

  • Lee, Seung-Goo;Rha, Eu-Gene;Ha, Jae-Seok;Lee, Jeong-Min;Kim, Sun-Hwa
    • Microbiology and Biotechnology Letters
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    • v.36 no.2
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    • pp.149-157
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    • 2008
  • Many proteins consist of distinctive domains that can act independently or cooperatively to achieve a unique function. As these domains evolve from a naturally existing repertoire of functional domains, this implies that domain organization is an intrinsic element involved in building the complex structure and function of proteins. Thus, identifying functional domains would appear to be critical to the elucidation of questions related to protein evolution, folding, and the engineering of hybrid proteins for tai- lored applications. However, the simple application of "Lego-like assembly" to the engineering of hybrid proteins is an oversimplification, as many hybrid constructs lack structural stability, usually due to unfavorable domain contacts. Thus, directed evolution, along with computational studies, may help to engineer hybrid proteins with improved physico-chemical properties. Accordingly, this paper introduces several approaches to functional hybrid protein engineering that potentially can be used to create modulators of gene transcription and cell signaling, and novel biosensors to analyze biological functions in vivo.

A Development of Intelligent Service Robot System for Store Management in Unmanned Environment (무인화 환경 기반의 상점 자동 관리를 위한 지능형 서비스 로봇 시스템)

  • Ahn, Ho-Seok;Sa, In-Kyu;Baek, Young-Min;Lee, Dong-Wook
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.6
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    • pp.539-545
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    • 2011
  • This paper describes an intelligent service robot system for managing a store in an unmanned environment. The robot can be a good replacement for humans because it is possible to work all day and to remember lots of information. We design a system architecture for configuring many intelligent functions of intelligent service robot system which consists of four layers; a User Interaction Layer, a Behavior Scheduling Layer, a Intelligent Module Layer, and a Hardware Layer. We develop an intelligent service robot 'Part Timer' based on the designed system architecture. The 'Part Timer' has many intelligent function modules such as face detection-recognition-tracking module, speech recognition module, navigation module, manipulator module, appliance control module, etc. The 'Part Timer' is possible to answer the phone and this function gives convenient interface to users.

Improvement of Genetic Programming Based Nonlinear Regression Using ADF and Application for Prediction MOS of Wind Speed (ADF를 사용한 유전프로그래밍 기반 비선형 회귀분석 기법 개선 및 풍속 예보 보정 응용)

  • Oh, Seungchul;Seo, Kisung
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.12
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    • pp.1748-1755
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    • 2015
  • A linear regression is widely used for prediction problem, but it is hard to manage an irregular nature of nonlinear system. Although nonlinear regression methods have been adopted, most of them are only fit to low and limited structure problem with small number of independent variables. However, real-world problem, such as weather prediction required complex nonlinear regression with large number of variables. GP(Genetic Programming) based evolutionary nonlinear regression method is an efficient approach to attach the challenging problem. This paper introduces the improvement of an GP based nonlinear regression method using ADF(Automatically Defined Function). It is believed ADFs allow the evolution of modular solutions and, consequently, improve the performance of the GP technique. The suggested ADF based GP nonlinear regression methods are compared with UM, MLR, and previous GP method for 3 days prediction of wind speed using MOS(Model Output Statistics) for partial South Korean regions. The UM and KLAPS data of 2007-2009, 2011-2013 years are used for experimentation.