• Title/Summary/Keyword: rectangular covering

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An Investigation on the Possibility to Teach Mathematical Principles of Tessellations in Elementary School Mathematics (초등학교에서 테셀레이션의 수학적 원리 지도 가능성 탐색)

  • Baek, Seon-Su;Kim, Won-Kyung
    • The Mathematical Education
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    • v.46 no.1 s.116
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    • pp.81-96
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    • 2007
  • This study was conducted to investigate the possibility of teaching tessellations' mathematical principles in elementary school mathematics. A survey was carried out and the two hours of the instructional experiment were developed for this study triangular tessellation activity and rectangular tessellation activity. Six fifth graders from W elementary school participated voluntarily in the instructional experiment. It was shown from the survey that teachers and students both know what the tessellation is, but they don't know what the mathematical principles really are in the tessellation. This is because they have just done the covering up-activities in class. It was seen from the instructional experiments that even ordinary students were able to understand the mathematical principles of the tessellation if teachers could throw the suitable focusing questions like 'how to move the rectangles making sides equal' and 'how to gather vertexes making angle $360^{\circ}$'. Furthermore, it is desirable to teach the rectangular tessellation prior to the triangular tessellation since the rectangular tessellation is more easy to deal with than the triangular tessellation.

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A Study on the Impedance Matching of Phased Array Antennas (위상배열 안테나의 임피던스 정합에 관한 연구)

  • 하헌태;김세윤
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.29A no.2
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    • pp.24-32
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    • 1992
  • The impedance matching properties of infinite planar arrays of rectangular waveguides with dielectric plug loading and sheath covering are studied here. The effects of several involved parameters on the impedance matching of the phased array antenna are investigated by calculating the reflection coefficients numerically. The improvement of impedance matching and the appearance of forced surface wave resonances are also discussed.

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Design of Compact Series-fed Dipole Pair Antenna with End-loaded Rectangular Patches (사각형 패치가 종단에 장하된 소형 직렬 급전 다이폴 쌍 안테나 설계)

  • Yeo, Junho;Lee, Jong-Ig;Park, Jin-Taek
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.10
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    • pp.2245-2251
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    • 2013
  • In this paper, a design of a compact series-fed dipole pair(SDP) antenna with end-loaded rectangular patches is presented. In order to reduce the lateral size of a conventional SDP antenna, rectangular patches are end-loaded to the two dipole elements of the SDP antenna and a grooved ground plane is used by adding a patch at both ends of the ground plane. The effects of varying the length and width of the rectangular patches on the antenna performance such as input reflection coefficient are investigated. An optimized compact SDP antenna covering a frequency band ranging from 1.7 GHz to 2.7 GHz is designed and fabricated on an FR4 substrate. The total width of the fabricated prototype of the proposed antenna is reduced by approximately 14.3% compared to the conventional SDP antenna. Experimental results show that the antenna presents a 48.7% bandwidth in the range of 1.68-2.76 GHz and a stable gain of 5.6-6.0 dBi with minimal degradation. Moreover, a front-to-back ratio is improved by about 0.7 to 7.4 dB.

Experimental research on flow regime and transitional criterion of slug to churn-turbulent and churn-turbulent to annular flow in rectangular channels

  • Qingche He;Liang-ming Pan;Luteng Zhang;Wangtao Xu;Meiyue Yan
    • Nuclear Engineering and Technology
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    • v.55 no.11
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    • pp.3973-3982
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    • 2023
  • As for two-phase flow in rectangular channels, the flow regimes especially like churn-turbulent and annular flow are significant for the physical problem like Countercurrent Flow Limitation (CCFL). In this study, the rectangular channels with cross-sections of 4 × 66 mm, 6 × 66 mm, 8 × 66 mm are adopted to investigate the flow regimes of air-water vertical upward two phase flow under adiabatic condition. The gas and liquid superficial velocities are 0 ≤ jg ≤ 20m/s and 0.25 ≤ jf ≤ 3m/s respectively which covering bubbly to annular flow. The flow regimes are identified by random forest algorithm and the flow regime maps are obtained. As the results, the transitional void fraction from slug to churn turbulent flow fluctuate from 0.47 to 0.58 which is significantly affected by the dimensional size of channel and flow rate. Besides, the void fraction at transitional points from churn-turbulent (slug) to annular flow are 0.66-0.67, which are independent with the gap size. Furthermore, a new criteria of slug to churn-turbulent flow is established in this study. In addition, by introducing the interfacial force model, the criteria of churn-turbulent (slug) flow to annular flow is verified.

A compact Monopole Antenna Design for WLAN/WiMAX Triple Band Operations (WLAN/WiMAX 삼중대역에서 동작하는 모노폴 안테나의 설계)

  • Yoon, Joong-Han;Jang, Yeon-Gil;Rhee, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.7 no.3
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    • pp.465-473
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    • 2012
  • In this study, a novel dual band planar monopole antenna for wireless local area network (WLAN)/ Worldwide Interoperability of Microwave Access (WiMAX) application was designed, fabricated, and measured. The proposed antenna consists of two hook shaped strips, an asymmetric ground plane, and a rectangular slit in the ground plane. Acceptable agreements between the measured and simulated results are achieved. Numerical and experimental results demonstrate that the proposed antenna satisfies the 10 dB impedance bandwidth requirement while covering the WLAN and WiMAX bands simultaneously. This paper also presents and discusses the 2D radiation patterns and 3D gains according to the results of the experiment that was conducted.

Development of a Dual-Circular Polarizer for the KVN Receivers

  • Chung, Moon-Hee;Je, Do-Heung;Han, Seog-Tae;Lee, Jung-Won
    • Journal of Astronomy and Space Sciences
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    • v.26 no.3
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    • pp.345-354
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    • 2009
  • A stepped septum polarizer has been designed and fabricated for the 43 GHz band KVN receiver system. The dual-circular polarizer converts left and right hand circularly polarized signals into linear polarizations in two separated rectangular waveguides. Measurements show that the performance of the designed septum polarizer covering 42-48 GHz frequency band is adequate to meet the requirement of KVN receivers. Especially, a polarizer for the KVN receiver of 85-95 GHz frequency band can be fabricated by scaling the dimensions of the septum polarizer developed in this paper.

Stack Effect in High-Rise Buildings: A Review

  • Mijorski, Sergey;Cammelli, Stefano
    • International Journal of High-Rise Buildings
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    • v.5 no.4
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    • pp.327-338
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    • 2016
  • This technical paper presents a detailed review of the stack effect phenomenon and of the associated implications pertaining to the design and construction of high-rise buildings in regions of extreme climatic conditions. The present review is focused on both the classical 'chimney' effect as well as on the reverse stack effect, which are respectively related to cold and hot climates. For the purposed of the work here presented, the ASHRAE (2013) design conditions of Astana (Kazakhstan) and Riyadh (Kingdom of Saudi Arabia) were selected. A 230 m tall residential building of rectangular floor plan was numerically modelled in the context of the climatic conditions of the two abovementioned cities and a number of sensitivity analyses were performed, covering parametric changes of: temperature, façade air tightness, site wind speeds and wind directions.

A Circular-Ring Monopole Antenna with a Half-Circular Ring and Ground Slot for WLAN/WiMAX Triple-Band Operations

  • Yoon, Joong Han;Im, Dae Soo;Ha, Sung Jae;Rhee, Young Chul
    • Journal of electromagnetic engineering and science
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    • v.14 no.4
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    • pp.367-375
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    • 2014
  • In this paper, a novel triple-band circular-ring monopole antenna with a half-circular ring and ground slot for wireless local area network/Worldwide Interoperability of Microwave Access (WLAN/WiMAX) applications is proposed. The proposed antenna consists of one circular ring, a half-circular ring and a rectangular slot in the ground plane. Based on the concept, a prototype of the proposed triple-band antenna was designed, fabricated and tested. The numerical and experiment results demonstrated that the proposed antenna satisfied the -10 dB impedance bandwidth requirement while simultaneously covering the WLAN and WiMAX bands. Furthermore, this paper presents and discusses the 2D radiation patterns and 2D gains according to the results of the experiment.

Exploring Area of Polygons Using Computer Dot Board (컴퓨터로 구성한 점자판에서 면적 개념의 탐구)

  • 고상숙
    • Education of Primary School Mathematics
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    • v.3 no.2
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    • pp.103-107
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    • 1999
  • This article introduces a proposed lesson to help younger or lower level mathematics students conceptualize area. The objective for the proposed lesson was for the student to demonstrate an understanding of the concept of area by identifying the area, in square units, of polygons drawn on computer dot board constructed by computer software, Geometer's Sketchpad. The concept of covering is the key to develop the concept of the area. The article proceeded from rectangular figures, to right-triangular figures, to non-right triangular figures, then to polygons to find the area and develop the formula for the area of the figures. It is meaningful that this kind of materials can be developed within interactive computer environment since students feel successful in loaming and teachers use them directly in their measurement classes.

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An efficient space dividing method for the two-dimensional sound source localization (2차원 상의 음원위치 추정을 위한 효율적인 영역분할방법)

  • Kim, Hwan-Yong;Choi, Hong-Sub
    • The Journal of the Acoustical Society of Korea
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    • v.35 no.5
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    • pp.358-367
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    • 2016
  • SSL (Sound Source Localization) has been applied to several applications such as man-machine interface, video conference system, smart car and so on. But in the process of sound source localization, angle estimation error is occurred mainly due to the non-linear characteristics of the sine inverse function. So an approach was proposed to decrease the effect of this non-linear characteristics, which divides the microphone's covering space into narrow regions. In this paper, we proposed an optimal space dividing way according to the pattern of microphone array. In addition, sound source's 2-dimensional position is estimated in order to evaluate the performance of this dividing method. In the experiment, GCC-PHAT (Generalized Cross Correlation PHAse Transform) method that is known to be robust with noisy environments is adopted and triangular pattern of 3 microphones and rectangular pattern of 4 microphones are tested with 100 speech data respectively. The experimental results show that triangular pattern can't estimate the correct position due to the lower space area resolution, but performance of rectangular pattern is dramatically improved with correct estimation rate of 67 %.