• Title/Summary/Keyword: modular function

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Basic MOFI Testbed Implementation for Host ID-based Communication (호스트 ID 기반 통신을 위한 기본 MOFI 테스트베드 구축)

  • Jung, Whoi-Jin;Min, Seok-Hong;Lee, Jae-Yong;Kim, Byung-Chul
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.48 no.7
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    • pp.17-27
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    • 2011
  • In recent years, the interest and research for Future Internet are rapidly increasing. In domestic, MOFI (Mobile Oriented Future Internet) is proposed as one architecture of Future Internet. MOFI is a data transmission architecture which provides a mobility, name-based communication and routing scalability. In this paper we implement a basic MOFI testbed that supports HID-based communication, and verify the feasibility of HID-based communication through experimentation of general service such as PING and WWW service. We used "VirtualBox" as a virtual machine and implement a packet processing and a HCP header addition and translation function using "Click Modular Router".

Improvements to a Modular Agricultural Robot Platform for Field Work (밭 노지 작업을 위한 모듈형 농업 로봇 플랫폼 개선에 관한 연구)

  • Kim, Dongwoo;Hong, Hyunggil;Cho, Yongjun;Yun, Haeyong;Oh, Jangseok;Gang, Minsu;Park, Huichang;Seo, Kabho
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.20 no.10
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    • pp.80-87
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    • 2021
  • Our study introduces an improved modular agricultural platform to provide convenience to agricultural workers. We upgrade the platform design in three parts, namely, by adding a 458 pattern tire, electricity control, and four-wheel steering function, to improve the platform performance. Results showed that the upgrades enhanced the platform performance and reduced its overall weight as compared with the existing platform. To demonstrate the performance of our improved platform, we conducted five types of experiments with respect to the climbing angle, variable width, attitude control, speed, and obstacle passing.

A Low-Computation Indirect Model Predictive Control for Modular Multilevel Converters

  • Ma, Wenzhong;Sun, Peng;Zhou, Guanyu;Sailijiang, Gulipali;Zhang, Ziang;Liu, Yong
    • Journal of Power Electronics
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    • v.19 no.2
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    • pp.529-539
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    • 2019
  • The modular multilevel converter (MMC) has become a promising topology for high-voltage direct current (HVDC) transmission systems. To control a MMC system properly, the ac-side current, circulating current and submodule (SM) capacitor voltage are taken into consideration. This paper proposes a low-computation indirect model predictive control (IMPC) strategy that takes advantages of the conventional MPC and has no weighting factors. The cost function and duty cycle are introduced to minimize the tracking error of the ac-side current and to eliminate the circulating current. An optimized merge sort (OMS) algorithm is applied to keep the SM capacitor voltages balanced. The proposed IMPC strategy effectively reduces the controller complexity and computational burden. In this paper, a discrete-time mathematical model of a MMC system is developed and the duty ratio of switching state is designed. In addition, a simulation of an eleven-level MMC system based on MATLAB/Simulink and a five-level experimental setup are built to evaluate the feasibility and performance of the proposed low-computation IMPC strategy.

TRANSFORMATION FORMULAS FOR THE GENERATING FUNCTIONS FOR CRANKS

  • Lim, Sung-Geun
    • East Asian mathematical journal
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    • v.27 no.3
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    • pp.339-348
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    • 2011
  • B. C. Berndt [6] has evaluated the transformation formula for a large class of functions that includes and generalizes the classical Dedekind eta-function. In this paper, we consider a twisted version of his formula. Using this transformation formula, we derive modular trans-formation formulas for the generating functions for cranks which were central to deduce K. Mahlburg's results in [11].

Survey of the Arithmetic and Geometric Approach to the Schottky Problem

  • Jae-Hyun Yang
    • Kyungpook Mathematical Journal
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    • v.63 no.4
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    • pp.647-707
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    • 2023
  • In this article, we discuss and survey the recent progress towards the Schottky problem, and make some comments on the relations between the André-Oort conjecture, Okounkov convex bodies, Coleman's conjecture, stable modular forms, Siegel-Jacobi spaces, stable Jacobi forms and the Schottky problem.

SOME RELATIONS BETWEEN ζ(2n + 1) AND ζ(2n + 1, α) FOR SPECIAL VALUES OF α

  • Lim, Sung-Geun
    • Honam Mathematical Journal
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    • v.39 no.4
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    • pp.561-568
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    • 2017
  • Hurwitz zeta function occurs in various parts of mathematics. In particular, it plays an important role in some area of number theory. In this paper, using a certain transformation formula, we find some identities of relations between ${\zeta}(2n+1)$ and ${\zeta}(2n+1,{\alpha})$ for special values of ${\alpha}$.

GALOIS ACTIONS OF A CLASS INVARIANT OVER QUADRATIC NUMBER FIELDS WITH DISCRIMINANT D≡64(mod72)

  • Jeon, Daeyeol
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.1
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    • pp.213-219
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    • 2013
  • A class invariant is the value of a modular function that generates a ring class field of an imaginary quadratic number field such as the singular moduli of level 1. In this paper, we compute the Galois actions of a class invariant from a generalized Weber function $g_1$ over imaginary quadratic number fields with discriminant $D{\equiv}64(mod72)$.