• 제목/요약/키워드: complement number

검색결과 296건 처리시간 0.025초

THE NIELSEN ROOT NUMBET FOR THE COMPLEMENT

  • Yang, Ki-Yeol
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제8권1호
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    • pp.61-69
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    • 2001
  • The purpose of this paper is to introduce the Nielsen root number for the complement N(f:X-A,c) which shares such properties with the Nielsen root number N(f;c) as lower bound and homotopy invariance.

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보수 개념 신장을 위한 놀이 학습 프로그램의 개발 및 적용 (A Development and Application of Play Learning Program for the Complement Number Concept)

  • 정지인;김성준
    • 한국초등수학교육학회지
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    • 제20권2호
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    • pp.193-213
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    • 2016
  • 초등수학에서 보수 개념은 위치적 십진 기수법 체계를 이해하고 덧셈과 뺄셈 연산을 완성하기 위해 필요한 기본적인 개념이다. 본 연구는 초등학교 1학년 학생을 대상으로 보수 개념을 신장시키기 위한 놀이 중심의 단계별 프로그램을 개발하여 적용한 것으로, 개발된 프로그램의 수업을 단계별로 실시하면서 학생들의 연산 능력과 수학적 태도의 변화를 관찰한 것이다. 먼저 보수 개념을 학습하기 위한 조작 교구 및 놀이 학습 프로그램은 5단계(총 11차시)로 개발하였다. 보수 개념 신장을 위한 프로그램의 개발과 조직은 디에네스(Dienes)의 놀이 학습 단계 이론에 근거하여 각 차시와 수업 내용을 구성하여 개발하였다. 본 연구는 프로그램의 각 단계별 수업의 과정과 학생들의 반응, 연구자의 관점 등을 종합하여 기술하고 이로부터 학생들의 연산 능력에서의 변화와 수학에 대한 태도 변화를 함께 살펴본 것이다. 수업을 진행하면서 학생들의 연산 능력과 수학적 태도 두 측면에서 모두 긍정적인 변화를 이끌어낼 수 있었는데, 따라서 1학년 수학에서부터 보수 개념을 효과적이고 체계적으로 신장시킬 수 있는 프로그램을 조직화하고 지도할 필요성을 제기한다.

10의 보수 찾기 게임을 통한 초등학교 1학년 학생의 수 감각 분석 (An Analysis of a First Grader's Number Sense using the Searching Complement of Ten Game)

  • 이경언
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제14권3호
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    • pp.303-316
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    • 2011
  • 본 연구는 1에서 9까지의 숫자 카드를 이용하여 10의 보수를 찾는 게임에서 초등학교 1학년 학생이 보여주는 수 감각을 분석한 사례 연구이다. 이를 위해서 초등학교 1학년 학생 1명과 연구자가 실제 게임을 진행하였고, 게임과정에서 대화 내용을 중심으로 학생의 수 감각을 분석하였다. 본 연구의 결과 두 장의 카드를 이용하여 10을 만드는 게임에 매우 흥미를 가졌으며, 보수를 찾는 게임이 자연스럽게 덧셈을 구하는 상황으로 전환되었다. 연구 대상인 학생은 합이 10이 되는 경우, 즉 10의 보수를 찾는 경우는 규칙을 쉽게 이해하고 수를 만들어 내었지만 합이 12가 되는 경우는 쉽게 해결하지는 못하였다. 연구에 참여한 학생은 자신의 카드를 관찰하고 2장, 3장, 4장을 이용하여 10을 만드는 게임으로 자연스럽게 규칙을 확장하였고 어떤 경우에는 쉽게 10을 만들었지만 대부분의 경우에는 3장 이상을 이용하여 10을 만들지는 못하였다.

H-Y항체에 의한 생쥐초기배의 성판별에 관한 연구 I. 세포발육능검사에 의한 성판별 (Study on the sexing of preimplantation mouse embryo exposed to H-Y ntisera I. Sexing of mouse embryos by cytolytic assay)

  • 양부근;김정익
    • 한국가축번식학회지
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    • 제12권1호
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    • pp.31-36
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    • 1988
  • There studies were conducted using inbred ICR mice to examine the sex of preimplantation mouse embryo. The morphological normality of mice embryos treated with the culture medium containing rat H-Y antiserum(10%, v/v) plus complement(20%,v/v) was observed and also the sexing of embryos was investigated by chromosomal analysis. The results obtained were summarized as follows: 1. The viability of preimplantation mouse embryos, which were incubated in vitro with different media condition, was scored 68.9-85.5% in control group. However, 151 embryos normally developed up to blastocyst and 160 embryos were retarded growth or destroyed out of total 311 embryos treated in the medium containing H-Y antiserum(10%, v/v) plus complement(20%,v/v). 2. H-Y antiserum was prepared from inb red rats (Wistar and Donryu strain) with different immunization times (4, 5 and 6th) to examine the specific titer of embryos by the number of immunization. Precentage of normally developed embryos incubated either in the medium containing the antiserum of Wistar plus complement or Donryu plus complement was revealed 50.9, 47.4 and 50.0% (4, 5 and 6th immunization and 47.8, 41.2 and 48.7%, respectively. 3. Twenty two females and five males were identified out of fourty-eight normally developed embryos incubated in the medium containing H-Y antiserum plus complement by chromosomal analysis.

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A complement to Hoek-Brown failure criterion for strength prediction in anisotropic rock

  • Bagheripour, Mohammad Hossein;Rahgozar, Reza;Pashnesaz, Hassan;Malekinejad, Mohsen
    • Geomechanics and Engineering
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    • 제3권1호
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    • pp.61-81
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    • 2011
  • In this paper, a complement to the Hoek-Brown criterion is proposed in order to derive the strength of anisotropic rock from strength of the corresponding truly intact rock. The complement is a decay function, which unlike other modifications or suggestions made in the past, is multiplied to the function of the original Hoek-Brown failure criterion for intact rock. This results in a combined and extended form of the criterion which describes the strength of anisotropic rock as a varying fraction of the corresponding truly intact rock strength. Statistical procedures and in particular regression analyses were conducted into data obtained in experiments conducted in the current research program and those collected from the literature in order to define the Hoek-Brown's criterion complement. The complement function was best described by a simple polynomial including only three constants to be empirically evaluated. Further investigations also showed that these constants can be related to the other readily available parameters of rock material which further facilitate determining the constants. A great and prime advantage of the proposed complement is that it is mathematically simple including the least possible number of empirical constants which are easily estimated with minimum experimental effort. Moreover, proposed concept does not suggests any change to the original Hoek-Brown criterion itself or its constants and serves whenever anisotropy does exist in the rock. This further implies on the possibility of using any other failure criterion for intact rock in conjunction with the compliment to reach the strength of anisotropic rock.

Method of SSO Noise Reduction on FPGA of Digital Optical Units in Optical Communication

  • Kim, Jae Wan;Eom, Doo Seop
    • 전자공학회논문지
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    • 제50권1호
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    • pp.97-101
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    • 2013
  • There is a growing need for optical communication systems that convert large volumes of data to optical signals and that accommodate and transmit the signals across long distances. Digital optical communication consists of a master unit (MU) and a slave unit (SU). The MU transmits data to SU using digital optical signals. However, digital optical units that are commercially available or are under development transmit data using two's complement representation. At low input levels, a large number of SSOs (simultaneous switching outputs) are required because of the high rate of bit switching in two's complement, which thereby increases the power noise. This problem reduces the overall system capability because a DSP (digital signal processor) chip (FPGA, CPLD, etc.) cannot be used efficiently and power noise increases. This paper proposes a change from two's complement to a more efficient method that produces less SSO noise and can be applied to existing digital optical units.

실시간 디지털 신호 처리용 고속 MULTIPLIER 단일칩화에 관한 연구 (A Study on the IC, Implementation of High Speed Multiplier for Real Time Digital Signal Processing)

  • 문대철;차균현
    • 한국통신학회논문지
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    • 제15권7호
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    • pp.628-637
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    • 1990
  • 본 연구에서는 고속의 병렬 알고리즘을 이용하여 실시간 디지털 신호를 처리할 수 있는 16x16 고속의 CMOS 승산기를 설계하였다. 설계된 병렬 승산기는 modified Booth's 알고리즘과 Ling's approach를 이용하여 4열의 가산기와 8개의 Booth 디코더로 구성하였으며, 2's complement의 데이터와 계수를 처리할 수 있도록 설계하였다. 또한 VLSI 구현에 적합하도록 modulrity하고 regularity하게 모든 회로를 설계하고 규칙적으로 내부 배열을하여 testavility가 용이하도록 설계하였다.

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Anti-complement Effects of Anion-Substituted Poly(vinyl alcohol) Membranes

  • Ryu, Kyu-Eun;Rhim, Hyang-Shuk;Park, Chong-Won;Chun, Heung-Jae;Hong, Seung-Hwa;Kim, Young-Chai;Lee, Young-Moo
    • Macromolecular Research
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    • 제12권1호
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    • pp.46-52
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    • 2004
  • In a continuation of our previous studies on blood compatibility profiles of anion-substituted poly(vinyl alcohol) (PVA) membranes, in which hydroxyl groups have been replaced with carboxymethyl (C-PVA) and sulfonyl groups (S-PVA), we have studied the activation of complement components and the changes in white cell and platelet count in vitro and compared them with those of unmodified PVA, Cuprophane, and low-density polyethylene. Complement activation of fluid phase components, C3a, Bb, iC3b, and SC5b-9, and of bound phases, C3c, C3d, and SC5b-9, were assessed by enzyme-linked immunosorbent assay (ELISA) and immunoblot, respectively. The changes in the number of white cells and platelets following complement activation were counted using a Coulter counter. C-PVA and S-PVA activated C3 to a lesser extent than did PVA, which we attribute to the diminished level of surface nucleophiles of the samples. In addition, C- and S-PVA exhibit increased inhibition of Bb production, resulting in a decrease in the extent of C5 activation. Consequently, because of the reduced activation of C3 and C5, C- and S-PVA samples cause marked decreases in the SC5b-9 levels in plasma. We also found that the negatively charged sulfonate and carboxylate groups of the samples cause a greater extent of adsorbtion of the positively charged anaphylatoxins, C3a and C5a, because of strong electrostatic attraction, which in turn provides an inhibition of chemotaxis and activation of leukocytes. The ability to inhibit complement production, together with the binding ability of anaphylatoxins of the C- and S-PVA samples, leads to a prominent decrease in lysis of leukocytes as well as activation of platelets.

A Potential New Mouse Model of Axial Spondyloarthritis Involving the Complement System

  • V. Michael Holers;Francisco G. La Rosa;Nirmal K. Banda
    • IMMUNE NETWORK
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    • 제21권6호
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    • pp.45.1-45.13
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    • 2021
  • Many mouse models of rheumatoid arthritis have been identified, but only a limited number are present for axial spondyloarthritis (AxSpA). Collagen Ab-induced arthritis (CAIA) is one of the most widely used mouse models of arthritis, and it is complement-dependent. We found that mice developing CAIA also developed spinal lesions similar to those found in AxSpA. To induce CAIA, mice were injected intraperitoneally at day 0 with anti-collagen Abs, followed by LPS injection at day 3. CAIA mice demonstrated a significant kyphosis through the spine, as well as hypertrophic cartilage and osseous damage of the intravertebral joints. Immunohistochemical staining of the kyphotic area revealed increased complement C3 deposition and macrophage infiltration, with localization to the intravertebral joint margins. Near Infrared (NIR) in vivo imaging showed that anti-collagen Abs conjugated with IRDye® 800CW not only localized to cartilage surface in the joints but also to the spine in arthritic mice. We report here a novel preclinical mouse model in which, associated with the induction of CAIA, mice also exhibited salient features of AxSpA; this new experimental model of AxSpA may allow investigators to shed light on the local causal mechanisms of AxSpA bone and soft tissue changes as well as treatment.