• 제목/요약/키워드: Root numbers

검색결과 267건 처리시간 0.021초

입구유동 가진이 있는 층류 후향계단 유동에서 열전달에 대한 프란틀수 효과해석 (Effects of Prandtl Numbers on Heat Transfer of Backward-Facing Step Laminar Flow with a Pulsating Inlet)

  • 김원현;박태선
    • 대한기계학회논문집B
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    • 제36권9호
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    • pp.923-930
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    • 2012
  • 입구유동 가진이 있는 층류 후향계단 유동에서 Pr수의 변화에 따른 열전달 특성변화를 조사하기 위하여 비정상 수치해석을 수행하였다. 입구는 가진주파수와 가진진폭의 변화에 따른 교란이 주어졌고, 온도함수의 물성치가 적용되었다. 열전달 변화에 대한 다양한 특징들이 열경계층 변화에 의해서 설명되었다. 물성치가 일정한 경우와 비교하였을 때, 물성치가 온도의 함수성이 있는 경우 Pr < 1인 조건에서 열전달은 감소하였고, 반대로 Pr > 1인 조건에서 열전달은 증가하였다. 또한 가진진폭이 증가함에 따라 계단 후류 바닥면에서 열전달도 증가하였다. 그렇지만 가진주파수 변화의 경우 St < 0.2인 조건에서 열전달이 크게 증가하는 특정주파수 영역이 존재하였다. 특히, 열전달의 증가는 재부착 길이의 rms값의 변동정도와 밀접한 관련이 있음을 보여주었다.

교과서에 표현된 복소수와 이에 대한 학생들의 이해 실태 분석 (Complex number on textbooks and Analysis on understanding state of students)

  • 박선호;표성수
    • 한국수학교육학회지시리즈A:수학교육
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    • 제51권1호
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    • pp.1-19
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    • 2012
  • In this study, contents of 'the 2007 revised curriculum handbook' and 16 kinds of mathematics textbooks were analyzed first. The purpose of this study is to examine the understanding state of students at general high schools by making questionnaires to survey the understanding state on contents of chapter of complex number based on above analysis. Results of research can be summarized as follows. First, the content of chapter of complex number in textbook was not logically organized. In the introduction of imaginary number unit, two kinds of marks were presented without any reason and it has led to two kinds of notation of negative square root. There was no explanation of difference between delimiter symbol and operator symbol at all. The concepts were presented as definition without logical explanations. Second, students who learned with textbook in which problems were pointed out above did not have concept of complex number for granted, and recognized it as expansion of operation of set of real numbers. It meant that they were confused of operation of complex numbers and did not form the image about number system itself of complex number. Implications from this study can be obtained as follows. First, as we came over to the 7th curriculum, the contents of chapter of complex number were too abbreviated to have the logical configuration of chapter in order to remove the burden for learning. Therefore, the quantitative expansion and logical configuration fit to the level for high school students corresponding to the formal operating stage are required for correct configuration of contents of chapter. Second, teachers realize the importance of chapter of complex number and reconstruct the contents of chapter to let students think conceptually and logically.

The effect of extract from leaves and stalks of Angelica gigas on the innate immunity

  • Kang, Shin-Seok;Byeon, Hyeon-Seop;Kang, Shin-Kwon;Ko, Duk-Hwan;Lim, Dae-Jun;Lee, Jung-Hwa;Kang, Sung-Ho
    • 한국동물위생학회지
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    • 제36권4호
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    • pp.227-232
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    • 2013
  • The dried root of Angelica gigas (A. gigas) has been traditionally used as an oriental medicine, which is known to improve blood circulation and blood stasis. In the present study, leaves and stalks of A. gigas were used to investigate their effects on the innate immunity. The extracts were prepared from leaves and stalks of A. gigas and were fed to mice. The numbers of blood cells, total WBCs, neutrophils, lymphocytes, eosinophils and basophils were increased by 50% in mice fed with leaves extract of A. gigas compared to control mice. However, the numbers of blood cells were decreased when treated with stalks extract of A. gigas. The level of cholesterol and triglyceride in serum was markedly reduced in both mice group fed with leaves extract and stalks extract of A. gigas compared to control group (P<0.01). There was no significant change in the level of albumin, total protein, phosphate and calcium in serum. Activity of cationic peptide was found to be diffused in the testicles of mice fed with leaves extract of A. gigas compared to control group, which might be due to increased lysozyme in testicle. The lysoplate assay and immunohistochemistry assay suggest that the extract of leaves and stalks of A. gigas are immunogenic, but the effects might be related with acquired immune response rather than innate immunity.

Reynolds Number Effects on the Non-Nulling Calibration of a Cone-Type Five-Hole Probe for Turbomachinery Applications

  • Lee, Sang-Woo;Jun, Sang-Bae
    • Journal of Mechanical Science and Technology
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    • 제19권8호
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    • pp.1632-1648
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    • 2005
  • The effects of Reynolds number on the non-nulling calibration of a typical cone-type five-hole probe have been investigated for the representative Reynolds numbers in turbomachinery. The pitch and yaw angles are changed from - 35 degrees to 35 degrees with an angle interval of 5 degrees at six probe Reynolds numbers in range between $6.60{\times}10^3\;and\;3.17{\times}10^4$. The result shows that not only each calibration coefficient itself but also its Reynolds number dependency is affected significantly by the pitch and yaw angles. The Reynolds-number effects on the pitch- and yaw-angle coefficients are noticeable when the absolute values of the pitch and yaw angles are smaller than 20 degrees. The static-pressure coefficient is sensitive to the Reynolds number nearly all over the pitch- and yaw-angle range. The Reynolds-number effect on the total-pressure coefficient is found remarkable when the absolute values of the pitch and yaw angles are larger than 20 degrees. Through a typical non-nulling reduction procedure, actual reduced values of the pitch and yaw angles, static and total pressures, and velocity magnitude at each Reynolds number are obtained by employing the calibration coefficients at the highest Reynolds number ($Re=3.17{\times}10^4$) as input reference calibration data. As a result, it is found that each reduced value has its own unique trend depending on the pitch and yaw angles. Its general tendency is related closely to the variation of the corresponding calibration coefficient with the Reynolds number. Among the reduced values, the reduced total pressure suffers the most considerable deviation from the measured one and its dependency upon the pitch and yaw angles is most noticeable. In this study, the root-mean-square data as well as the upper and lower bounds of the reduced values are reported as a function of the Reynolds number. These data would be very useful in the estimation of the Reynolds-number effects on the non-nulling calibration.

가변 시간 골드스미트 부동소수점 제곱근 계산기 (A Variable Latency Goldschmidt's Floating Point Number Square Root Computation)

  • 김성기;송홍복;조경연
    • 한국정보통신학회논문지
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    • 제9권1호
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    • pp.188-198
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    • 2005
  • 부동소수점 제곱근 계산에 많이 사용하는 골드스미트 제곱근 알고리즘은 곱셈을 반복하여 제곱근을 계산한다. 본 논문에서는 골드스미트 제곱근 알고리즘의 반복 과정의 오차를 예측하여 오차가 정해진 값보다 작아지는 시점까지 반복 연산하는 알고리즘을 제안한다. 'F'의 제곱근 계산은 초기값 $X_0=Y_0=T^2{\times}F,\;T=\frac{1}{\sqrt {F}}+e_t$에 대하여, $R_i=\frac{3-e_r-X_i}{2},\;X_{i+1}=X_i{\times}R^2_i,\;Y_{i+1}=Y_i{\times}R_i,\;i{\in}\{{0,1,2,{\ldots},n-1} }}'$을 반복한다 곱셈 결과는 소수점 이하 p 비트 미만을 절삭하며, 절삭 오차는 $e_r=2^{-p}$보다 작다. p는 단정도실수에서 28, 배정도실수에서 58이다. $X_i=1{\pm}e_i$ 이면 $X_{i+1}$ = $1-e_{i+1}$ $e_{i+1} {\frac{3e^2_i}{4}{\mp}\frac{e^3_i}} $ +4$e_{r}$이다. $|X_i-1|$ < $2^{\frac{-p+2}{2}}$이면, $e_{i+1}$ < $8e_{r}$ 이 부동소수점으로 표현할 수 있는 최소값보다 작게 되며, $\sqrt{F}$ {\fallingdotseq}\frac{Y_{i+1}}{T}}$이다. 본 논문에서 제안한 알고리즘은 입력 값에 따라서 곱셈 횟수가 다르므로, 평균 곱셈 횟수를 계산하는 방식을 도출하고, 여러 크기의 근사 역수 제곱근 테이블 ($T=\frac{1}{\sqrt{F}}+e_i$)에서 단정도실수 및 배정도실수의 제곱근 계산에 필요한 평균 곱셈 횟수를 계산한다. 이들 평균 곱셈 횟수를 종래 알고리즘과 비교하여 본 논문에서 제안한 알고리즘의 우수성을 증명한다. 본 논문에서 제안한 알고리즘은 오차가 일정한 값보다 작아질 때까지만 반복하므로 제곱근 계산기의 성능을 높일 수 있다. 또한 최적의 근사 역수 제곱근 테이블을 구성할 수 있다. 본 논문의 연구 결과는 디지털 신호처리, 컴퓨터 그래픽스, 멀티미디어, 과학 기술 연산 등 부동소수점 계산기가 사용되는 분야에서 폭 넓게 사용될 수 있다.

군집분석을 이용한 다목적 조사의 층화에 관한 연구 (A Study on the Use of Cluster Analysis for Multivariate and Multipurpose Stratification)

  • 박진우;윤석훈;김진흠;정형철
    • 응용통계연구
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    • 제20권2호
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    • pp.387-394
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    • 2007
  • 본 연구는 여러 가지의 양적변수들을 조사하는 다목적, 다변량조사 표본설계에서 층화 문제를 다룬다. 다변량 층화변수를 사용하는 층화 방법으로 일변량 층화변수가 있을 때 사용하는 누적도수제곱근법을 독립적으로 여러 층화변수에 적용하는 방법, 군집분석을 이용하는 방법, 인자분석과 군집분석을 함께 이용하는 방법 등 세 가지 방법을 제시한다. 한편, 2001년 농업총조사 자료에 나타난 동 읍 면의 농기계별 보유대수 정보를 층화변수로 활용하여 세 가지 층화 방안의 효율을 실증적으로 비교하게 되는데 그 결과 인자분석과 군집분석을 함께 고려한 층화방법이 비교적 효율적인 것으로 나타났다.

황기의 녹비작물 작부체계 활용 유기재배 시 생장반응과 수량에 관한 연구 (Effects of Organic Fertilizers and Green Manure Crops on Growth Responses and Yields of Astragalus membranaceus Bunge)

  • 송범헌;이경아;장윤기;김영국;안태진;안영섭;박충범
    • 한국약용작물학회지
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    • 제19권2호
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    • pp.83-89
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    • 2011
  • This studies were conducted to investigate the growth responses and yields of Astragalus membranaceus Bunge which were grown with organic cultivation using two organic fertilizers and two green manure crops of hairy vetch and rye in 2008 and 2009. The lengths of stems and roots were not clearly different between organic and conventional cultivations. The root diameters and the branch numbers were slightly thicker and more in all treatments of organic cultivation than that of conventional cultivation in 2008, although they were not significantly different between two cultivating methods in 2009. The dry weights of shoot and root were heavier on organic cultivation than those on conventional cultivation. The T/R ratios were commonly higher in organic culture, showing more clearly in 2008 than 2009. The yields were generally higher in organic cultivation than those in conventional cultivation in 2008 although the effect did not clear on yield in 2009. The organic cultivation using of organic fertilizers and green manure crops would be new method to have safety and qualitative products. The techniques of organic cultivation for Astragalus membranaceus Bunge would be studied more on utilizing the natural organic resources.

S화력발전소 3, 4호기 증설에 따르는 정밀발파작업으로 인한 인접가동발전기및 구조물에 미치는 파동영향조사 (On the vibration influence to the running power plant facilities when the foundation excavated of the cautious blasting works.)

  • 허진
    • 화약ㆍ발파
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    • 제8권1호
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    • pp.3-16
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    • 1990
  • The cautious blasting works had been used with emulsion explosion electric M/S delay caps. Drill depth was from 3m to 6m with Crawler Drill $\varphi{70mm}$ on the calcalious sand stone(sort-moderate-semi hard Rock). The total numbers of feet blast were 88. Scale distance were induces 15.52-60.32. It was applied to propagation Law in blasting vibration as follows. Propagtion Law in Blasting Vibration $V=K(\frac{D}{W^b})^n$ where V : Peak partical velocity(cm/sec) D : Distance between explosion and recording sites (m) W : Maximum Charge per delay-period of eighit milliseconds or more(Kg) K : Ground transmission constant, empirically determind on th Rocks, Explosive and drilling pattern ets. b : Charge exponents n : Reduced exponents Where the quantity $D/W^b$ is known as the Scale distance. Above equation is worked by the U.S Bureau of Mines to determine peak particle velocity. The propagation Law can be catagrorized in three graups. Cabic root Scaling charge per delay Square root Scaling of charge per delay Site-specific Scaling of charge per delay Charge and reduction exponents carried out by multiple regressional analysis. It's divided into under loom and over loom distance because the frequency is verified by the distance from blast site. Empirical equation of cautious blasting vibration is as follows. Over 30m----under l00m----- $V=41(D/3\sqrt{W})^{-1.41}$ -----A Over l00m-----$V= 121(D/3\sqrt{W})^{-1.66}$-----B K value on the above equation has to be more specified for furthur understang about the effect of explosives, Rock strength. And Drilling pattern on the vibration levels, it is necessary to carry out more tests.

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Alfalfa 근류균접종제 생산 및 이용에 관한 연구 I. 근류균제 생산을 위한 담체제조 및 선발 (Studies on the Production and Utilization of Rhizobium Inoculants for Alfalfa (Medicago sativa L.) I. Preparation and seletion of carriers for Rhizobium inoculants)

  • 최기준;박근제;허휘;임영철;박병훈
    • 한국초지조사료학회지
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    • 제15권4호
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    • pp.245-252
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    • 1995
  • To select a carrier as Rhizobiwn inoculants for alfalfa, severeal Rhizobium inoculants were produced by adding or not sub-materials($CaCO_3$ and sucrose) to main materials(organic or inorganic materials). The root nodule bacteria, Rhizobium meliloti 1061 distributed from KAIST, and Vemal alfalfa was used in this experiment. The Rhizobium populations and inoculation effects of the Rhizobium inoculants produced in several materials were scrutinized at laboratory and greenhouse in Livestock Experiment Station, RDA from 1993 to 1994. Moisture contents of the caniers were varied from 32 to 50% on dry weight basis according to material characteristics and the pH ranges of these were varied from pH 4.56 to 10.06 according to raw material characteristics and preparations. Initial Rhizobium numbers of the carriers were higher in organic material-inoculants than in inorganic, and among the inoculants, the inoculant made of Bentonite+Vermiculite(l:3 w/w) was excellent because of high rhizobium population($7.8~8.3\times10^8/g$ inoculant) and high rhizobium reappearance of inoculant in severed different production time. The root nodules of the alfalfa inoculated with different inoculants were fast formed in the fermented sawdust with cattle dung (FSC) inoculant, and bentonite(B)+vermiculite(V) than others. Plant length of alfalfa was differentiated on 15 days after inoculation but was not nearly different between higher inoculants than rhizobium number $10^7/g$ inoculant. Total dry matter of alfalfa was yielded by 20.65, 20.34mg per pot in FSC + sucrose 0.5% and B + V + sucrose 1% inoculants respectively that were higher inoculation effect by 17 times compared with non-inoculation, 1.2 mg per pot.

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삼천포화력발전소 3, 4호기 증설에 따르는 정밀발파작업으로 인한 인접가동발전기 및 구조물에 미치는 진동영향조사 (On the vibration influence to the running power plant facilities when the foundation excavated of the cautious blasting works)

  • 허진
    • 기술사
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    • 제24권6호
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    • pp.97-105
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    • 1991
  • The cautious blasting works had been used with emulsion explosion electric M/S delay caps. Drill depth was from 3m to 6m with Crawler Drill ø70mm on the calcalious sand stone (soft-moderate-semi hard Rock). The total numbers of fire blast were 88 round. Scale distance were induces 15.52-60.32. It was applied to propagation Law in blasting vibration as follows. Propagation Law in Blasting Vibration (Equation omitted) where V : Peak partical velocity(cm/sec) D : Distance between explosion and recording sites(m) W : Maximum Charge per delay-period of eighit milliseconds o. more(kg) K : Ground transmission constant, empirically determind on the Rocks, Explosive and drilling pattern ets. b : Charge exponents n : Reduced exponents Where the quantity D / W$^n$ is known as the Scale distance. Above equation is worked by the U.S Bureau of Mines to determine peak particle velocity. The propagation Law can be catagrorized in three graups. Cubic root Scaling charge per delay Square root Scaling of charge per delay Site-specific Scaling of charge per delay Charge and reduction exponents carried out by multiple regressional analysis. It's divided into under loom and over 100m distance because the frequency is verified by the distance from blast site. Empirical equation of cautious blasting vibration is as follows. Over 30 ‥‥‥under 100m ‥‥‥V=41(D/$^3$√W)$\^$-1.41/ ‥‥‥A Over 100 ‥‥‥‥under 100m ‥‥‥V=121(D/$^3$√W)$\^$-1.56/ ‥‥‥B K value on the above equation has to be more specified for furthur understang about the effect of explosives, Rock strength. And Drilling pattern on the vibration levels, it is necessary to carry out more tests.

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