• 제목/요약/키워드: Remainder

검색결과 446건 처리시간 0.023초

LONG PATHS IN THE DISTANCE GRAPH OVER LARGE SUBSETS OF VECTOR SPACES OVER FINITE FIELDS

  • BENNETT, MICHAEL;CHAPMAN, JEREMY;COVERT, DAVID;HART, DERRICK;IOSEVICH, ALEX;PAKIANATHAN, JONATHAN
    • 대한수학회지
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    • 제53권1호
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    • pp.115-126
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    • 2016
  • Let $E{\subset}{\mathbb{F}}^d_q$, the d-dimensional vector space over the finite field with q elements. Construct a graph, called the distance graph of E, by letting the vertices be the elements of E and connect a pair of vertices corresponding to vectors x, y 2 E by an edge if ${\parallel}x-y{\parallel}:=(x_1-y_1)^2+{\cdots}+(x_d-y_d)^2=1$. We shall prove that the non-overlapping chains of length k, with k in an appropriate range, are uniformly distributed in the sense that the number of these chains equals the statistically correct number, $1{\cdot}{\mid}E{\mid}^{k+1}q^{-k}$ plus a much smaller remainder.

PROOFS OF CONJECTURES OF SANDON AND ZANELLO ON COLORED PARTITION IDENTITIES

  • Berndt, Bruce C.;Zhou, Roberta R.
    • 대한수학회지
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    • 제51권5호
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    • pp.987-1028
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    • 2014
  • In a recent systematic study, C. Sandon and F. Zanello offered 30 conjectured identities for partitions. As a consequence of their study of partition identities arising from Ramanujan's formulas for multipliers in the theory of modular equations, the present authors in an earlier paper proved three of these conjectures. In this paper, we provide proofs for the remaining 27 conjectures of Sandon and Zanello. Most of our proofs depend upon known modular equations and formulas of Ramanujan for theta functions, while for the remainder of our proofs it was necessary to derive new modular equations and to employ the process of duplication to extend Ramanujan's catalogue of theta function formulas.

인삼사포닌이 생쥐에 있어서 카페인으로 유도된 보행활동과 뇌 카테콜아민 함량에 미치는 영향 (Effects of Ginseng Total Saponin on Caffeine-induced Stimulation of Locomotor Activity and the Related Brain Catecholamine Contents in Mice)

  • Hack Seang Kim;Seo
    • Journal of Ginseng Research
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    • 제14권3호
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    • pp.399-403
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    • 1990
  • This study was undertaken to investigate the effect of ginseng total sapoin (GTS) on locomotor activity that had been increased by caffeine. Catecholamines, noradrenaline and dopamine, possible mediators for the locomotor activity, were measllred in the mouse whole brain, cortex and the re- mainder. The locomotor activity was measured in circlllar activity cages equipped with six light sources and photocells. The catecholamine contents in the mollse brain were determined by HPLC-fluorescence detection. GTS (50 and 100 mg/kg) reduced the increased locomotor activity by caffeine (25 mg/kg) dose-devendently. Caffeine increased the norevinephrint and dopamine in mouse whole brain and cortex dose-dependently. GTS reduced the norevinevhrine in the remainder, and reduced the dopamine in the cortex which had been increased by caffeine.

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퍼지 시스템을 이용한 Giga-Bit MODEM의 BASK 시스템 성능 개선 (The Performance Improvement of BASK System of Giga-Bit MODEM Using the Fuzzy System)

  • 엄기환;이규윤
    • 제어로봇시스템학회논문지
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    • 제13권5호
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    • pp.462-466
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    • 2007
  • This paper proposes an automatic bandwidth control method for the performance improvement of Binary Amplitude Shift Keying (BASK) system for Giga-Bit Modem in millimeter band. In order to improve the performance of the BASK system with a fixed bandwidth, the proposed method is to adjust a bandwidth of low pass filter in receiver using the fuzzy system. The BASK system consists of a high speed shutter of the transmitter and a counter and a repeater of receiver. The repeater consists of four stage converters, and a converter is constructed with a low pass filter and a limiter. The inputs to the fuzzy system are the reminder and integral of remainder of counter, and output is a bandwidth. We used a Viterbi algorithm to find the optimum detection from the output of the counter. Simulation results showed that the proposed system improves the performance compared to the fixed bandwidth.

Identification of HPV Integration and Genomic Patterns Delineating the Clinical Landscape of Cervical Cancer

  • Akeel, Raid-Al
    • Asian Pacific Journal of Cancer Prevention
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    • 제16권18호
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    • pp.8041-8045
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    • 2016
  • Cervical cancer is one of the most common cancers in women worldwide. During their life time the vast majority of women become infected with human papillomavirus (HPV), but interestingly only a small portion develop cervical cancer and in the remainder infection regresses to a normal healthy state. Beyond HPV status, associated molecular characterization of disease has to be established. However, initial work suggests the existence of several different molecular classes, based on the biological features of differentially expressed genes in each subtype. This suggests that additional risk factors play an important role in the outcome of infection. Host genomic factors play an important role in the outcome of such complex or multifactor diseases such as cervical cancer and are also known to regulate the rate of disease progression. The aim of this review was to compile advances in the field of host genomics of HPV positive and negative cervical cancer and their association with clinical response.

영국의 신재생에너지 정책-바이오매스를 중심으로 (Renewable Energy Policy in the UK - with Focus on Biomass)

  • 류창국
    • 한국수소및신에너지학회논문집
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    • 제19권3호
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    • pp.260-265
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    • 2008
  • As one of renewable energy sources, biomass is playing a major role in reducing the greenhouse gas emission in the UK. The country currently produces about 4.5% (18.1TWh in 2006) of the total electricity generation from renewables, where biomass-based sources accounts for 50% of the amount and the remainder mostly from hydro and windpower. In 2007, the UK government has announced its new energy policy through the Energy White Paper, which includes an ambitious national target of 60% cuts in carbon emission by 2050. Complementary strategic plans in key renewable energy technologies accompanied the Energy White Paper, including biomass strategy, waste strategy and low carbon transportation strategy. This paper summarizes the current status and policy of UK for renewable energy production with focus on the use of biomass and bioenergy.

A Memory-Efficient VLC Decoder Architecture for MPEG-2 Application

  • Lee, Seung-Joon;Suh, Ki-bum;Chong, Jong-wha
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1999년도 추계종합학술대회 논문집
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    • pp.360-363
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    • 1999
  • Video data compression is a major key technology in the field of multimedia applications. Variable-length coding is the most popular data compression technique which has been used in many data compression standards, such as JPEG, MPEG and image data compression standards, etc. In this paper, we present memory efficient VLC decoder architecture for MPEG-2 application which can achieve small memory space and higher throughput. To reduce the memory size, we propose a new grouping, remainder generation method and merged lookup table (LUT) for variable length decoders (VLD's). In the MPEG-2, the discrete cosine transform (DCT) coefficient table zero and one are mapped onto one memory whose space requirement has been minimized by using efficient memory mapping strategy The proposed memory size is only 256 words in spite of mapping two DCT coefficient tables.

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한국의 온도기후와 생물의 계절변화 (The Thermal Climate and Phenology in Korea)

  • 임양재
    • Journal of Plant Biology
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    • 제26권2호
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    • pp.101-117
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    • 1983
  • The phenological phenomena in terms of year day index (YDI) in South Korea were studied. The YDI was proposed here, because the remainer index such as Nuttonson's index is unadequate for the interpretation on the phenological phenomena of early spring season in sourthern coastal area. The YDI was calculated by summing daily mean temperature of the year days (YD) above physical zero degree in centigrade, based on the data of the Monthly Weather Reports from 1967 to 1980 by the Central Meteorological Office. The pattern of YDI increase with the increase of YD was similar to that of the remainder index such as the Nuttonson's index. The some YDI distribution maps were made by Yim and Kira (1975), dividing into 30'$\times$40' meshes, in latitude and longtude, on the topographical map(1 : 500,000) of the Korea Peninsula. According to the year day of different localities flowering dates of Prunus yedoensis and other phenological phenomena in various species delayed about 3.5 day as the increase of 1 degree of latitude, which coincides with the Hopkins bioclimatic law. It was found that the YDI is useful to interprete the phenology of plant and animal species and to select the optimum range of cultivars in South Korea.

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온도 변화의 영향을 고려한 커넥팅 로드 베어링의 EHL 해석 (EHL Analysis of Connecting Rod Bearings Considering Effects of Temperature Variation)

  • 김병직;김경웅
    • Tribology and Lubricants
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    • 제17권3호
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    • pp.228-235
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    • 2001
  • EHL analysis of connecting rod bearing is proposed which includes effects of temperature variation in lubrication film. Lubrication film temperature is treated as a time-dependent, two-dimensional variable which is averaged over the film thickness, while connecting rod big end temperature is assumed to be time-independent and three-dimensional. It is assumed that a portion of the heat generated by viscous dissipation in the lubrication film is absorbed by the film itself, and the remainder flows into the bearing surface. Mass-conserving cavitation algorithm is applied and the effect of variable viscosity is included to solve the Reynolds equation. Simulation results of the connecting rod bearing in internal combustion engine are presented. It is shown that the temperature variation has remarkable effects on the bearing performance. It is concluded that the EHL analysis considering effects of the temperature variation is strongly recommended to predict the connecting rod bearing performance in internal combustion engine.

도살돈의 장간막 임파절과 직장내용물로 부터 Salmonella Spp. 분리 제도와 약제 감수성 시험 (Serotpyes and Drug Susceptibility of Salmonella Cultrues Isolated from Slaughtered Pigs)

  • 한창희;이국천;이주홍;이순선
    • 한국동물위생학회지
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    • 제17권3호
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    • pp.181-189
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    • 1994
  • Sixty-three Salmonella Cultures were isolated from 600 msenteric lymphnodes and 600 rectal contents of apprently healthy pigs slaughtered at abattoris in Hapchun, changnyong, Keochang. The result observed were summaried as follows ; 1. Fifty-nine out of sixty-three cultures were serotyped and Salmonella enteritis(20 cultures) 2. Was found to be the most predominant serotpye. The remainder comprised of 15 serotypes were ; S. typhimuriu, S. derby, S. wagenia, S. infantis, S. thompson, S. tennessee, S. mission, S. anatum, S. give, S. nuwlands, S. newingtion, S. newhaw, S. neumuenstes, S. senftenberg, S. gbana 3. The antibiotic susceptibility of 9 were ; Baytril, Streptomycin, Cephalothin, Ampicillin, Tetracycline, Sulfadimethoxine, Rifampicin, Gentamicin, Kanamycln.

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