• Title/Summary/Keyword: prime number

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Some Characteristics of Unit-Distance Duo-Decimal Codes (단위거리 12진부호의 몇가지 특성)

  • 김병찬
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.12 no.1
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    • pp.7-11
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    • 1975
  • Investigations on sole characteristics of unit-distance duo-decimal codes are carried out, and 31kinds of Prime Digit Sequence (PDS) are proposed in order to express various digit sequences. From these PDS, by means of the rotational conversion, 348 digit sequences which express the practical GC are obtained, and, ism these digit sequences, it is found that there are 120576 unit distance codes by the permutation of the coordinate number and the initial condition of the codes. Some special codes such as reflected or symmetrical codes and Lippel codes, and their application to the practical GC counter are also studied.

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Reproductive Cycle of Marsh Clam, Corbicula leana (Prime) in Hyongsan Estuary (형산강하구에 서식하는 참재첩 (Corbicula leana (Prime))의 생식주기)

  • Kim Jin-Hee;YOO Myong-Suk
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.33 no.3
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    • pp.184-191
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    • 2000
  • Gametogenesis and the reproductive cycle of the marsh clam, Corbicula leana(Prime} were investigated monthly Hyongsan estuary, Korea from January to December 1998 by histological observation. C. leana had separate sexes, and oviparous. The gonads were located between the sub-region of mid-intestinal gland in visceral cavity and reticular cennective tissue. The ovary and testis were composed of a number of ovarian and testicular tubules, respectively, Mature oocytes were characterized by germinal vesicles with nucleoli and their sizes ranged $70\;to\;80{\mu}m$ in diameter. A number of mesenchymal tissues and pigment granular cells were distributed in the growing oocytes and spermatocytes during early developmental stages. With the further development of gonad, these tissuse and cells gradually disappeared. The monthly changes in the fatness index were closely related to reproductive cycle. Minimun size for sexual maturity was reached over 10.0 mm in shell length. The reproductive cycle could be classified into 6 stages : multiplicative (March to April): early growing and growing (May to June), mature (July to August), spent (September), degenerative (October) and recovery (November to February).

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The Primality Test (소수 판별법)

  • Lee, Sang-Un;Choi, Myeong-Bok
    • Journal of the Korea Society of Computer and Information
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    • v.16 no.8
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    • pp.103-108
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    • 2011
  • Generally, Miller-Rabin method has been the most popular primality test. This method arbitrary selects m at k-times from m=[2, n-1] range and (m,n)=1. Miller-Rabin method performs $k{\times}r$ times and reports prime as $m^d\;{\equiv}\;1(mod\;n)$ or $m^{2^rd}\;{\equiv}\;-1(mod n)$ such that n-1=$2^sd$, $0\;{\leq}\;r\;{\leq}\;s-1$. This paper suggests more simple primality test than Miller-Rabin method. This test method computes c=$p^{\frac{n-1}{2}}(mod\;n)$ for k times and reports prime as c=-1. The proposed primality test method reduces $k{\times}r$ times of Miller-Rabin method to k times.

THE GENERATORS OF COMPLETE INTERSECTION

  • Kang, Oh-Jin;Ko, Hyuong-J.
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.829-841
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    • 2000
  • We classify complete intersections I of grade 3 in a regular local ring (R, M) by the number of minimal generators of a minimal prime ideal P over I. Here P is either a complete intersection or a Gorenstein ideal which is not a compete intersection.

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REMARKS ON FINITE FIELDS

  • Kang, Shin-Won
    • Bulletin of the Korean Mathematical Society
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    • v.20 no.2
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    • pp.81-85
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    • 1983
  • It is the purpose of this paper to give some remarks on finite fields. We shall show that the little theorem of Fermat, Euler's criterion for quadratic residue mod p, and other few theorems in the number theory can be derived from the theorems in theory of finite field K=GF(p), where p is a prime. The forms of some irreducible ploynomials over K-GF(p) will be given explicitly.

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ON THE MINKOWSKI UNITS OF 2-PERIODIC KNOTS

  • Lee, Sang-Youl
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.475-486
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    • 2001
  • In this paper we give a relationship among the Minkowski units, for all odd prime number including $\infty$, of 2-periodic knot is $S^3$, its factor knot, and the 2-component link consisting of the factor knot and the set of fixed points of the periodic action.

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CIRCULAR UNITS IN A BICYCLIC FUNCTION FIELD

  • Ahn, Jaehyun;Jung, Hwanyup
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.1
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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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