• 제목/요약/키워드: Prime number

검색결과 374건 처리시간 0.023초

CIRCULAR UNITS IN A BICYCLIC FUNCTION FIELD

  • Ahn, Jaehyun;Jung, Hwanyup
    • 충청수학회지
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    • 제21권1호
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    • pp.61-69
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    • 2008
  • For a real subextension of some cyclotomic function field with a non-cyclic Galois group order $l^2$, l being a prime different from the characteristic of function field, we compute the index of the Sinnott group of circular units.

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광학입자계수기를 이용한 안면도 연직 에어러솔 수농도 크기 분포 특성 (Features on the Vertical Size Distribution of Aerosols using Ballon-borne Optical Particle Counter at Anmyeon)

  • 최병철;;임재철;정상부;김윤석;;;;김상백;홍기만;이영곤;유희정
    • 대기
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    • 제15권3호
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    • pp.149-153
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    • 2005
  • A balloon-borne Optical Particle Counter (hereafter "OPC Sonde"), which was developed by the atmospheric research group of Nagoya University, is used for getting the information of vertical profile of particle size and concentration in Anmyeon ($36^{\circ}32^{\prime}N$ $126^{\circ}19^{\prime}E$) on 18 March 2005. A range of five different particle sizes is shown in the vertical profile of aerosol number density estimated from the OPC Sonde. It was found that small size particles have vertically larger aerosol number density than relatively big ones. For all size ranges the vertical aerosol number density shows a decreased pattern as the altitude becomes higher. The aerosol number density of $0.3{\sim}0.5{\mu}m$, $0.5{\sim}0.8{\mu}m$, $0.8{\sim}1.2{\mu}m$ size ranges at the 10km height, which is the tropopause approximately, are $1,000,000ea/m^3$, $100,000ea/m^3$, $10,000ea/m^3$ respectively. The data of OPC Sonde are also compared with the data of PM10 $\beta$-ray) and Micro Pulse Lidar which are operating at Korea Global Atmosphere Watch Observatory in Anmyeon.

Calculating Error Reduction with Graph Restructuring in Loop Folding

  • Nishitani, Yoshi;Harashima, Katsumi;Kutsuwa, Toshirou
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2000년도 ITC-CSCC -2
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    • pp.657-660
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    • 2000
  • This paper proposes a Data-Flow-Graph (DFG) restructuring to reduce calculating errors in loop folding scheduling. The prime cause of calculating error is rounding errors due to the restriction of the operation digit of functional units. This rounding error is increased more by using multipliers than adders, so reducing the number of multiplications and putting off them as much as possible reduce rounding errors. The proposed approach reduces the number of multiplications by restructuring DFG in loop folding.

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ON ζ-FACTORS AND COMPUTING STRUCTURES IN CYCLIC n-ROOTS

  • Sabeti, Rostam
    • Korean Journal of Mathematics
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    • 제30권2호
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    • pp.187-198
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    • 2022
  • In this paper, we introduce a new concept in number theory called ζ-factors associated with a positive integer n. Applications of ζ-factors are in the arrangement of the defining polynomials in cyclic n-roots algebraic system and are thoroughly investigated. More precisely, ζ-factors arise in the proofs of vanishing theorems in regard to associated prime factors of the system. Exact computations through concrete examples of positive dimensions for n = 16, 18 support the results.

경북대학교(慶北大學校) 연습림(演習林)의 유관속(維管束) 식물상(植物相)에 관(關)하여 (A Study of the Flora of Kyungpook National University Forests)

  • 홍성천;이병천
    • Current Research on Agriculture and Life Sciences
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    • 제1권
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    • pp.101-111
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    • 1983
  • 연습림(演習林)에 분포(分布)된 식물(植物)은 79과(科) 188속(屬) 248종(種) 16변종(變種), 1아종(亞種), 3품종(品種)으로서 총계(總計) 298종류(種類)였다. 목본식물(木本植物)은 39과(科), 67속(屬)112종(種), 7변종(變種) 3품종(品種)이었으며 이중에서 교목(喬木)이 50종류(種類) 관목(灌木)이 46종류(種類), 만목(蔓木)이 16종류(種類)였다. 참취, 더덕, 지치등의 식용식물(食用植物)이 118종류(種類) 오미자, 오갈피나무등의 약용식물(藥用植物)이 48종류(種類)였다. 이 지역일대(地域一帶)에서 아직 보고(報告)되지 않았던 특기할 수 있는 군락(群落)은 왕느릅나무(Ulmus macrocarpa), 오미자(Schizandra chinensis), 오갈피나무(Acanthopanax sessiliflorus), 지치(Lithospermum erythrorhizon)등이었다.

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Couette-Poiseuille flow based non-linear flow over a square cylinder near plane wall

  • Bhatt, Rajesh;Maiti, Dilip K.;Alam, Md. Mahbub;Rehman, S.
    • Wind and Structures
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    • 제26권5호
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    • pp.331-341
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    • 2018
  • A numerical study on the flow over a square cylinder in the vicinity of a wall is conducted for different Couette-Poiseuille-based non-uniform flow with the non-dimensional pressure gradient P varying from 0 to 5. The non-dimensional gap ratio L (=$H^{\ast}/a^{\ast}$) is changed from 0.1 to 2, where $H^{\ast}$ is gap height between the cylinder and wall, and $a^{\ast}$ is the cylinder width. The governing equations are solved numerically through finite volume method based on SIMPLE algorithm on a staggered grid system. Both P and L have a substantial influence on the flow structure, time-mean drag coefficient ${\bar{C}}_D$, fluctuating (rms) lift coefficient ($C_L{^{\prime}}$), and Strouhal number St. The changes in P and L leads to four distinct flow regimes (I, II, III and IV). Following the flow structure change, the ${\bar{C}}_D$, $C_L{^{\prime}}$, and St all vary greatly with the change in L and/or P. The ${\bar{C}}_D$ and $C_L{^{\prime}}$ both grow with increasing P and/or L. The St increases with P for a given L, being less sensitive to L for a smaller P (< 2) and more sensitive to L for a larger P (> 2). A strong relationship is observed between the flow regimes and the values of ${\bar{C}}_D$, $C_L{^{\prime}}$ and St. An increase in P affects the pressure distribution more on the top surface than on bottom surface while an increase in L does the opposite.

Broad Beam Gamma-Ray Spectrometric Studies with Environmental Materials

  • El-Kateb, Abdul-Hamid Hussein
    • Journal of Radiation Protection and Research
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    • 제43권2호
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    • pp.75-84
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    • 2018
  • Background: Gamma-ray spectrometry helps in radiation shielding problems and different applications of radioisotopes. Experimental arrangements including broad beam geometries are widely used. The aim is to investigate and evaluate the ${\gamma}-ray$ spectra via attenuation by environmental materials. Materials and Methods: The photo peak to nominated parts in the ${\gamma}-ray$ spectra and the attenuation coefficients ${\mu}_b/{\rho}$ from broad beam geometries are measured for the materials water, soil, sand and cement at the energies 0.662, 1.25, and 1.332 MeV with a $3{^{\prime}^{\prime}}{\times}3{^{\prime}^{\prime}}$ NaI(Tl) detector. Results and Discussion: The ${\gamma}-ray$ spectra vary according to changes in the effective atomic number $Z_{eff}$ of the attenuator, the photon energy and the solid angle. The peak to total ratios are the most sensitive parts to variations in the experimental conditions and overturn in the region 0.663 MeV to 1.332 MeV. This is indicated as inversion trend. The results are discussed in view of $Z_{eff}$ and the experimental conditions. The intensity build-up is larger at the lower energy and larger scattering angles in agreement with Klein-Nishina formula and other results. The build-up factor B is$${\sim_=}$$1 at high ${\gamma}-energies$ and small scattering angles. Conclusion: The sensitivity to material characteristics decrease gradually from peak: to total, to Compton valley, to Compton plateau ratios. Rigorous collimation is necessary at small energies. Cement, of the largest $Z_{eff}$, is characterized by the maximum broad beam mass attenuation coefficients ${\mu}_b/{\rho}$. The obtained results provide information to decide for the suitable experimental set-up based on aim of the work.