• Title/Summary/Keyword: MAPLE

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Assessment of Fire Risk Rating for Wood Species in Fire Event (화재 발생 시 목재 수종의 화재위험성 등급 평가)

  • Jin, Eui;Chung, Yeong-Jin
    • Applied Chemistry for Engineering
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    • v.32 no.4
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    • pp.423-430
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    • 2021
  • In order to evaluate the fire risk and fire risk rating of wood for construction materials, this study focused on fire performance index-III (FPI-III), fire growth index-III (FGI-III), and fire risk index-IV (FRI-IV) according to Chung's equations-III and -IV. Western red cedar, needle fir, ash, and maple were used as the specimens. The fire characteristics were investigated using a cone calorimeter (ISO 5660-1) equipment on the specimen. The FPI-III measured after the combustion reaction was 0.86 to 12.77 based on polymethylmethacrylate (PMMA). The FGI-III was found to be 0.63 to 5.26 based on PMMA. The fire rating according to the FRI-IV, which is the fire rating index, was 0.05 to 6.12, and the western red cedar was 122.4 times higher than that of the maple. The fire risk rating according to the FRI-IV increased in the order of maple, ash, needle fir, PMMA and western red cedar. The CO peak concentration of all specimens was measured as 103 to 162 ppm, and it was 2.1 to 3.2 times higher than 50 ppm, the permissible exposure limits of the US occupational safety and health administration. Materials such as western red cedar, which have a low bulk density and contain a large amount of volatile organic substances, have a low FPI-III and a high FGI-III, so they have a high fire risk rating.

Geoacoustic Inversion and Source Localization with an L-Shaped Receiver Array (L-자형 선배열을 이용한 지음향학적 인자 역산 및 음원 위치 추정)

  • Kim, Kyung-Seop;Lee, Keun-Hwa;Kim, Seong-Il;Kim, Young-Gyu;Seong, Woo-Jae
    • The Journal of the Acoustical Society of Korea
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    • v.25 no.7
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    • pp.346-355
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    • 2006
  • Acoustic data from a shallow water experiment in the East Sea of Korea (MAPLE IV) is Processed to investigate the Performance of matched-field geo-acoustic inversion and source localization. The receiver array consists of two legs as in an L-shape. one vertical and the other horizontal lying on the seabed. Narrowband multi-tone CW source was towed along a slightly inclined bathymetry track. The matched-field geo-acoustic inversion includes comparisons between three processing techniques. all based on the Bartlett processor as; (1) the coherent processing of the data from the full array, (2) the incoherent Product of each output from both the horizontal and vertical arrays, and (3) the cross correlation between the horizontal and vertical arrays. as well as processing each array leg separately. To verify the inversion results. matched-field source localization for low level source signal components were performed using the same Processors used at the inversion stage.

A Study of Computer-Based Discrete Mathematics Focused on the Leslie Matrix Model (컴퓨터 기반의 이산수학에 관한 연구 -Leslie 행렬 모델을 중심으로-)

  • 김민경
    • The Mathematical Education
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    • v.38 no.2
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    • pp.189-197
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    • 1999
  • Discrete mathematics allows students to examine and explore unique, special problem situations which were not used to solve problems by paper-and-pencil procedures or applying common formulas. The use and integration of accessible computer-related technologies such as 'Mathematics' or 'Maple' software programs enables students to explore problem situation dramatically. This study shows that it is possible to introduce computer-based discrete mathematics focused on the Leslie matrix model as modeling age-specific population growth to high school students.

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Residual P-Finiteness of Certain Generalized Free Products of Nilpotent Groups

  • Kim, Goan-Su;Lee, Young-Mi;McCarron, James
    • Kyungpook Mathematical Journal
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    • v.48 no.3
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    • pp.495-502
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    • 2008
  • We show that free products of finitely generated and residually p-finite nilpotent groups, amalgamating p-closed central subgroups are residually p-finite. As a consequence, we are able to show that generalized free products of residually p-finite abelian groups are residually p-finite if the amalgamated subgroup is closed in the pro-p topology on each of the factors.

ON SEQUENCE OF FUNCTIONS

  • Salehbhai, Ibrahim A.;Prajapati, Jyotindra C.;Shukla, Ajay K.
    • Communications of the Korean Mathematical Society
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    • v.28 no.1
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    • pp.123-134
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    • 2013
  • Operational techniques have drawn the attention of several researchers in the study of sequence of functions and polynomials. An attempt is made to introduce a new sequence of functions by using operational techniques. Some generating relations and finite summation formulae have been obtained. The corresponding MAPLE code for obtaining above sequence of functions for different values of parameters was also discussed.

On A Symbolic Method for Error Estimation of a Mixed Interpolation

  • Thota, Srinivasarao
    • Kyungpook Mathematical Journal
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    • v.58 no.3
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    • pp.453-462
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    • 2018
  • In this paper, we present a symbolic formulation of the error obtained due to an approximation of a given function by the mixed-interpolating function. Using the proposed symbolic method, we compute the error evaluation operator as well as the error estimation at any arbitrary point. We also present an algorithm to compute an approximation of a function by the mixed interpolation technique in terms of projector operator. Certain examples are presented to illustrate the proposed algorithm. Maple implementation of the proposed algorithm is discussed with sample computations.

Common DB Interface APIs for Data Sharing at Shop Floor Level (Shop Floor Level 의 Data 공유화를 위한 공통 DB Interface API의 필요성과 그 역할)

  • Chung, Sung-Jun;Horiuchi, Horiuchi;Baek, Il-Hyun;Kim, Tae-Wan
    • IE interfaces
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    • v.8 no.3
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    • pp.187-195
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    • 1995
  • 본 연구는 생산 현장과 기술 설계 부서를 효율적으로 연결시키고 기술 자료를 공유화하기 위해서는 각 역할분담(Software Module)에서 공통DB(EDB/MDB)를 공유화할 뿐만 아니라, 이러한 공통DB를 특별한 지식이 없이 이용할 수 있는 공통 API)(Application Program Interface)와 DB를 통합적으로 관리해주는 Servet Process의 필요성의 업계의 동향과 국제 표준화 동향을 참고하여 설명하고자 한다.

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Eigenspaces of Max-Plus Matrices: An Overview

  • Kim, Yonggu;Shin, Hyun Hee
    • Journal for History of Mathematics
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    • v.31 no.1
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    • pp.1-17
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    • 2018
  • In this expository paper, we present an abridged report on the max-plus eigenspaces of max-plus matrices with its brief history. At the end of our work, a number of examples are presented with maple codes, and then we make a claim from the observation of these examples, which is on the euclidean dimension of the max-plus eigenspaces of strongly definite matrices.

A NEW EXTENSION OF BESSEL FUNCTION

  • Chudasama, Meera H.
    • Communications of the Korean Mathematical Society
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    • v.36 no.2
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    • pp.277-298
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    • 2021
  • In this paper, we propose an extension of the classical Bessel function by means of our ℓ-hypergeometric function [2]. As the main results, the infinite order differential equation, the generating function relation, and contour integral representations including Schläfli's integral analogue are derived. With the aid of these, other results including some inequalities are also obtained. At the end, the graphs of these functions are plotted using the Maple software.