• 제목/요약/키워드: Root numbers

검색결과 267건 처리시간 0.029초

학교수학에서 '피타고라스 정리' 관련 내용의 재구조화 연구 (A Study on Reorganization of 'Pythagorean Theorem' in School Mathematics)

  • 서보억
    • 한국수학교육학회지시리즈A:수학교육
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    • 제57권2호
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    • pp.93-110
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    • 2018
  • One of the biggest changes in the 2015 revised mathematics curriculum is shifting to the second year of middle school in Pythagorean theorem. In this study, the following subjects were studied. First, Pythagoras theorem analyzed the expected problems caused by the shift to the second year middle school. Secondly, we have researched the reconstruction method to solve these problems. The results of this study are as follows. First, there are many different ways to deal with Pythagorean theorem in many countries around the world. In most countries, it was dealt with in 7th grade, but Japan was dealing with 9th grade, and the United States was dealing with 7th, 8th and 9th grade. Second, we derived meaningful implications for the curriculum of Korea from various cases of various countries. The first implication is that the Pythagorean theorem is a content element that can be learned anywhere in the 7th, 8th, and 9th grade. Second, there is one prerequisite before learning Pythagorean theorem, which is learning about the square root. Third, the square roots must be learned before learning Pythagorean theorem. Optimal positions are to be placed in the eighth grade 'rational and cyclic minority' unit. Third, Pythagorean theorem itself is important, but its use is more important. The achievement criteria for the use of Pythagorean theorem should not be erased. In the 9th grade 'Numbers and Calculations' unit, after learning arithmetic calculations including square roots, we propose to reconstruct the square root and the utilization subfields of Pythagorean theorem.

까마중내 (Solanum nigrum L.) 항산화방어계의 항산화력 및 물질의 동정 (Evaluation of the Antioxidant Potential and ldentification of Active Principles of Solanum nigrum L. on Antioxidant Defense Systems)

  • 임종국;정규영;정형진
    • 생명과학회지
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    • 제11권6호
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    • pp.509-516
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    • 2001
  • 까마중의 부위별 DPPH free radical 소거활성은 뿌리에서 가장 높았고, 줄기, 전부위, 열매 잎 그리고 꽃 순으로 높았다. 추출방법간의 DPPH free radical 소거활성은 80%methanol에 침지하여 추출한것보다는 $80^{\circ}C$에서 80% meth-anol에 흰류추출한것이 높았다. Sephades LH-20 column chromatography에 의하여 분획된 L6의 DPPH free radical 소거활성은 ethy acetate 분획 추출물보다 6.7배 높았다. 분획물내의주요물질은 2, 6-methano-3-benzazocin-11-ol, 2[1h]-pyridinethione 및 2-hydroxy-5 methylbenzaldehyde로 phenolic 화 물이었다. 줄기와 뿌리의 POD및 SOD 활성은 타 부위에 비하여 높은 활성을 나타내었고, 생육기간에는 파종 후 60일후에서 활성이 가장 높았다. PODdmlehddnl gth 패턴은 뿌리에서 10개의 band로 가장 많았고 그중 8개의 band가 식물체의 부위별로 차이가 있어Tdmaul, SOD의 동위효소 패턴은 잎에 5개의 band로 가장 많았고 그중 2개의 band가 식물체의 부위별로 차이가 있었다.이가 있었다.

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Responses of Guava Plants to Inoculation with Arbuscular Mycorrhizal Fungi in Soil Infested with Meloidogyne enterolobii

  • Campos, Maryluce Albuquerque Da Silva;Silva, Fabio Sergio Barbosa Da;Yano-Melo, Adriana Mayumi;Melo, Natoniel Franklin De;Pedrosa, Elvira Maria Regis;Maia, Leonor Costa
    • The Plant Pathology Journal
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    • 제29권3호
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    • pp.242-248
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    • 2013
  • In the Northeast of Brazil, expansion of guava crops has been impaired by Meloidogyne enterolobii that causes root galls, leaf fall and plant death. Considering the fact that arbuscular mycorrhizal Fungi (AMF) improve plant growth giving protection against damages by plant pathogens, this work was carried out to select AMF efficient to increase production of guava seedlings and their tolerance to M. enterolobii. Seedlings of guava were inoculated with 200 spores of Gigaspora albida, Glomus etunicatum or Acaulospora longula and 55 days later with 4,000 eggs of M. enterolobii. The interactions between the AMF and M. enterolobii were assessed by measuring leaf number, aerial dry biomass, $CO_2$ evolution and arbuscular and total mycorrhizal colonization. In general, plant growth was improved by the treatments with A. longula or with G. albida. The presence of the nematode decreased arbuscular colonization and increased general enzymatic activity. Higher dehydrogenase activity occurred with the A. longula treatment and $CO_2$ evolution was higher in the control with the nematode. More spores and higher production of glomalin-related soil proteins were observed in the treatment with G. albida. The numbers of galls, egg masses and eggs were reduced in the presence of A. longula. Inoculation with this fungus benefitted plant growth and decreased nematode reproduction.

S 화력발전소 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
    • 화약ㆍ발파
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    • 제9권4호
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    • pp.3-12
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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 70mm on the calcalious sand stone (soft-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(D/W/sup b/)/sup n/ where V : Peak partical velocity(cm/sec) D : Distance between explosion and recording sites(m) W ; Maximum Charge per delay -period of eight milliseconds or 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/sup 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 groups. Cabic root Scaling charge per delay Square root Scaling of charge per delay Site-specific Scaling of charge 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 varified by the distance from blast site. Empirical equation of cautious blasting vibration is as follows. Over 30m--under 100m----V=41(D/ W)/sup -1.41/-----A Over l00m---------V=121(D/ W)/sup -1.56/-----B K value on the above equation has to be more specified for furthur understand 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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질소시용 및 예초간격이 한국 잔디(Zoysia japonica Steud.)의 제잔디 구성요소 특성변화에 미치는 영향 (The Effect of Nitrogen Application and Clipping Interval on the Characteristics of Several Turf Components of Korean Lawn Grass (Zoysia japonica Steud.))

  • 심재성;윤익석
    • 아시안잔디학회지
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    • 제1권1호
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    • pp.18-29
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    • 1987
  • This study was carried out to examine the effect of nitrogen application and clipping interval on the characteristics of several turf components of korean lawngrass for the basic data of lawn management. It was treated by Split plot design with three replications. The main plots were nitrogen levels with 0, 350, and 700kgN / ha, and the sub plots were clipping intervals with 10, 20, and 30 days The results obtained are summarized as follows ; 1. Increasing the rate of nitrogen fertilizer and frequent clipping increased tiller number of korean lawngrass and the maximum number of tillers obtained in October were recorded from 700kgN application and clipping treatment of 10 days interval. Meanwhile, treatment of 350kgN with 10 days clipping interval increased tillers much more than those of 700kgN with 20 and 30 days clipping intervals. 2. The average number of green leaves occurred during the growth period maximized by applying 700 kgN and clipping 10 days interval. 3. Increasing tiller numbers significantly decreased tops DM weight per tiller by clippng plants at interval of 10 and 20 days, irrespective of nitrogen applied, and with nil N, at the interval of 30 days. By applying 700kgN however, tops DM weight per tiller increased as the number of tillers increased consistently. 4. The highest tops DM weight was achieved from late August to early September by applying 350 and 700kgN. 5. During the growth period, nitrogen application increased unders(stolon+root) DM weight, and, at the same level of nitrogen applied, the increase in stolon DM weight enhanced by lengthening the clipping interval to 30 days. 6. Nitrogen efficiency to green leaves, stolon nodes and DM weight of root with high nitrogen was achieved as clipping interval was shortened.

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경기와 경북지역의 제수 비교 연구 (Research on the comparison on the ritual food of Gyeonggi and Gyungsangbuk-do province)

  • 김정미;장성현;김종군
    • 한국식품조리과학회지
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    • 제19권5호
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    • pp.562-570
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    • 2003
  • The awareness of ritual foods in general rituals were surveyed and compared in the Gyeonggi and Gyungsangbuk-do areas in order to identify the characteristics of Korean rituals and establish desirable ritual foods. As materials for "Jeon" (fried pan cakes) in rituals, fish fillets, meat and vegetables were largely used in the Gyeonggi region. In the Gyeongbuk region, all three of these ingredients were the most highly used for "Jeon" also. In the case of rice cakes, "Songpyun" steamed on a layer of pine needles, "Jeolpyun" and "Sirudduk", with a red beans, were mostly used in Gyeonggi-do, while "Songpyun", "Jeolpyun" and "Ingelmi" were largely used in Gyeongsangbuk-do. As seasoned vegetables and herbs, fernbrakes, root of bell flowers, green bean sprouts and bean sprouts were largely used in Gyeonggi-do region, whereas, fernbrakes, bean sprouts, root of bell flowers and spinaches were mainly used in Gyeongbuk region. The use of fernbrakes was highest in both regions. With regard to the number of side dishes, 2∼3 kinds of seasoned herbs and 3∼4 kinds of fruits were mostly used, but with slightly higher numbers in the Gyeongsangbuk-do than the Gyeonggi-do region. With regard to liquor used for rituals, clear strained rice wine was used most in the Gyeonggi-do area, while more unrefined rice wine was used in the Gyeongbuk region. Meat was the most used ingredient in broth slices of dried meat and cod were highly used in the Gyeonggi region, but slices of dried squid were most widely used in the Gyeongbuk region. Most households in both regions tended not to use raw fish in the rituals, and as for the ingredients of Korean Kabobs, meat was the most widely used, then fish and finally vegetables were the most used ingredients. Beef soup was the most used, but more green vegetable soup was used in the Gyeongbuk than the Gyeonggi region. Sweet drink made from fermented rice (sikhe) was generally used in the rituals. It was the most widely used in the Chusok-Hangawi Ritual in the Gyeonggi region, while it was used in the New Year's Ritual in the Gyeongbuk region.

Light intensity inside plastic house influences the growth and nutrient uptake of daughter plants in nursery and early stages after transplanting in strawberry propagation

  • Gab Soon Park;Hyoung Je Yoo;Gil Hwan Bae;Seung Ho Jeong;In Sook Park;Jong Myung Choi
    • 농업과학연구
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    • 제49권4호
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    • pp.697-706
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    • 2022
  • The effect of varied light intensities on the growth of daughter plants during propagation and after transplant to raised beds were examined in 'Sulhyang' strawberry. To this end, four treatments in controlling solar radiation inside a plastic house were made: 55% retractable shading and 35, 55, and 75% fixed shading. The plastic house was shaded only from 11:00 to 16:00 in June and 10:00 to 16:00 in July to September for the treatment of 55% retractable shading. The mean solar radiation inside the plastic house in the retractable 55% shading treatment was 317 W·m-2 and those in the 35, 55, and 75% fixed shading treatments were 183, 165, and 116 W·m-2, respectively, at 10 o'clock in the morning. The 55% and 75% fixed shading resulted in taller daughter plants with wider leaf areas than 55% retractable shading. The retractable shading also showed higher leaf numbers, crown diameters, root weights, and fresh weights compared to fixed shading treatments. Regarding the inorganic element contents, daughter plants grown under 75% fixed shading had 1.35% total nitrogen content followed by 1.19% in 35% fixed shading, 1.14% in 55% fixed shading, 1.14% in open culture, and 1.10% in 55% fixed shading. After 54 days following the transplant of daughter plants to a raised bed, the fresh weight of the aboveground part was the heaviest in the 55% retractable shading and non-shading treatments. The 75% fixed shading treatment had the lowest fresh weight of the aboveground plant parts. The results of this study could be used for the production of high-quality daughter strawberry plants.

차근육묘를 위한 배지의 깊이 및 착근 시기가 '설향' 딸기 자묘 소질과 정식 후 초기 생장에 미치는 영향 (Medium Depths and Fixation Dates of 'Seolhyang' Strawberry Runner Plantlets in Nursery Field Influence the Seedling Quality and Early Growth after Transplanting)

  • 박갑순;최종명
    • 원예과학기술지
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    • 제33권4호
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    • pp.518-524
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    • 2015
  • '설향' 딸기 차근육묘에서 팽연왕겨 배지의 깊이 및 착근시기가 자묘의 생장과 본포 정식 후 초기 생장에 미치는 영향을 구명하고자 본 연구를 수행하였다. 배지 깊이에 따른 자묘 생장에서 초장은 50, 70, 및 90mm 처리가 컸고, 엽수, 관부 직경, 및 1차 근수는 처리별 차이가 인정되지 않았다. 뿌리 생체중은 배지 깊이를 70, 90, 및 110mm로 조절한 처리가 30 또는 50mm로 조절한 처리들 보다 뚜렷하게 무거웠고, 근장은 90과 110mm 처리가 가장 길었다. 지상부 생체중은 70mm 처리에서 가장 무거웠고 이 보다 얕거나 깊은 배지 깊이 처리들에서 생장량이 적어졌다. 착근시기에 영향을 받은 자묘의 생장에서 착근 시기가 빠를수록 초장, 엽면적, 관부 직경 및 생체중 등 생장이 우수하였다. 그러나 1차 근수 및 뿌리 생체중은 7월 1일, 7월 15일 및 8월 1일의 세 처리간 통계적인 차이가 인정되지 않았다. 착근시기가 빠를수록 근권의 왕겨 부착량이 많았으며, 체 진동기를 사용하여 왕겨의 제거율을 조사한 결과 7월 1일과 7월 15일 처리는 40% 미만, 8월 1일 및 8월 15 처리는 각각 64% 및 70%로써 정식 시 왕겨 제거를 위한 노동력 요구도가 높았다. 착근시기가 다른 자묘를 본포에 정식하고 45일 후 생육을 조사한 결과 7월 1일 및 15일 그리고 8월 1일 착근한 처리의 1화방 출뢰율은 93-100%, 8월 15일 처리는 67% 였다. 본 실험 결과 팽연왕겨 차근육묘의 적절한 배지 깊이는 70mm, 그리고 착근시기는 7월 20-25일이며, 이상의 결과를 활용하여 육묘농가의 시행착오가 감소하고 양질묘가 생산될 수 있다고 예상한다.

토양(土壤)개량(改良)이 Fusarium solani 에 의한 인삼근부병과(人蔘根腐病)과 미생물(微生物) 변동(變動)에 미치는 효과(效果) (Effects of Amendments on Ginseng Root Rot Caused by Fusarium solani Population Changes of the Microorganisms in Soil)

  • 손서규;신현성;이민웅
    • 한국균학회지
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    • 제13권1호
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    • pp.41-47
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    • 1985
  • 18종(種)의 식물질(植物質)을 토양(土壤)에 첨가(添加)하여 개량(改良)한 토양(土壤)에 인삼근부병원(人蔘根腐病原)에 하나인 Fusarium solani의 후막포수(厚膜胞數)$5{\times}10^3\;Cells/g\;soil)$를 접종(接種)하고 여기에 지표(指標)가 되는 식물(植物) 로 완두(Pisium sativa L.)를 심어 이병성(罹病性) 정도(程度)에 의하여 개량효과를(改良效果) 조사하고 또한 개량물질(改良物質)의 처리(處理) 전(前)과 후(後)의 토양내(土壤內)의 미생물분포(微生物分布)의 변동(變動)을 비교(比較)하였다. 식물질(植物質)로 개량(改良)한 토양처리구(土壤處理區)에서 분쇄밀처리구에서는 대조구(對照區) 이상으로 이병성( 罹病性)이 높았고, 다음이 고구마 줄기, 배추, 인삼잎 및 콩깍지의 순이였다. 반면 마늘 뿌리를 처리한 토양에서는 이병률(罹病率)이 가장 낮아 효과적(效果的) 인 개량물질(改良物質)이었고, 다음에 파, 양배추, 들깨대, 밀짚, 보리짚등에서도 이병률(罹病率)이 감소(減少)하였다. 총균수(總菌數)는 파, 콩, 분쇄밀, 옥수수대, 배추등에서 다수(多數)하였고, 반면 밀짚, 마늘뿌리, 양배추, 보리짚 등의 처리구에서는 감소하였다. 세균수(細菌數)는 콩, 양배추, 무우줄기, 파, 분쇄밀처리구에서는 증가(增加)되었으나 보리, 담배뿌리, 인삼대, 밀짚등에서는 감소(減少)하는 경향을 나타냈다. 방선균(放線菌)의 분포(分布)는 콩처리구에서만 증가(增加)하였으나 기타는 대조구(對照區) 보다 감소(減少)하고 담배뿌리와 마늘대에서는 그 수(數)가 감소(減少)되었다. Fusarium spp의 분포수(分布數)는 배추, 파, 무우줄기, 분쇄밀, 고구마줄기 등의 처리구에서는 증가(增加)하고 반대로 밀짚, 인삼잎, 양배추등의 처리구는 대조구(對照區) 보다 감소(減少)하였다.

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가변 시간 뉴톤-랍손 부동소수점 역수 제곱근 계산기 (A Variable Latency Newton-Raphson's Floating Point Number Reciprocal Square Root Computation)

  • 김성기;조경연
    • 정보처리학회논문지A
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    • 제12A권5호
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    • pp.413-420
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    • 2005
  • 부동소수점 제곱근 계산에 많이 사용하는 뉴톤-랍손 부동소수점 역수 제곱근 알고리즘은 일정한 횟수의 곱셈을 반복하여 역수 제곱근을 계산한다. 본 논문에서는 뉴톤-랍손 역수 제곱근 알고리즘의 반복 과정의 오차를 예측하여 오차가 정해진 값보다 작아지는 시점까지 반복 연산하는 알고리즘을 제안한다. `F`의 역수 제곱근 계산은 초기값 '$X_0={\frac{1}{\sqrt{F}}}{\pm}e_0$'에 대하여, '$X_{i+1}=\frac{{X_i}(3-e_r-{FX_i}^2)}{2}$, $i\in{0,1,2,{\ldots}n-1}$'을 반복한다. 중간 곱셈 결과는 소수점 이하 p 비트 미만을 절삭하며, 절삭 오차는 '$e_r=2^{-p}$' 보다 작다. p는 단정도실수에서 28, 배정도실수에서 58이다. '$X_i={\frac{1}{\sqrt{F}}}{\pm}e_i$'라고 하면 '$X_{i+1}={\frac{1}{\sqrt{F}}}-e_{i+1}$, $e_{i+1}{<}{\frac{3{\sqrt{F}}{{e_i}^2}}{2}}{\mp}{\frac{{Fe_i}^3}{2}}+2e_r$이 된다. '$|{\frac{\sqrt{3-e_r-{FX_i}^2}}{2}}-1|<2^{\frac{\sqrt{-p}{2}}}$'이면,'$e_{i+1}<8e_r$이 부동소수점으로 표현 가능한 최소값보다 작아지며, '$X_{i+1}\fallingdotseq{\frac{1}{\sqrt{F}}}$'이다. 본 논문에서 제안한 알고리즘은 입력 값에 따라서 곱셈 횟수가 다르므로, 평균 곱셈 횟수를 계산하는 방식을 도출하고, 여러 크기의 근사 역수 제곱근 테이블($X_0={\frac{1}{\sqrt{F}}}{\pm}e_0$)에서 단정도실수 및 배정도실수의 역수 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 역수 제곱근 계산기의 성능을 높일 수 있다. 또한 최적의 근사 역수 제곱근 테이블을 구성할 수 있다. 본 논문의 연구 결과는 디지털 신호처리, 컴퓨터 그라픽스, 멀티미디어, 과학 기술 연산 등 부동소수점 계산기가 사용되는 분야에서 폭 넓게 사용될 수 있다.