• Title/Summary/Keyword: $Q_m$

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Operations in finite fields using Modified method (Modified 방법을 이용한 유한체의 연산)

  • 김창한
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.8 no.2
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    • pp.27-36
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    • 1998
  • 최근들어 타원곡선 암호법(ECC)이 RSA암호법을 대체할 것으로 기대되면서ECC의 연산속도를 결정하는 중요한 요소인 유한체의 연산 속도에 관심이 고조되고 있다. 본 논문에서는 Modified 최적 정규 기저의 성질 규명과 GF(q)(q=2$^{k}$ , k=8또는 16)위에서 GF(q$^{m}$ )(m: 홀수)의 Mofdified trinomial 기가 존재하는 m들을 제시하고, GF(r$^{n}$ )위에서 GF(r$^{nm}$ )dml Modified 최적 정규기저와 Modified trinomial 기저를 이용한 연산의 회수와 각 기저를 이용한 연산의 회수와 각 기저를 이용한 유한체 GF(q$^{m}$ )의 연산을 S/W화한 결과를 비교 하였다.

PERMUTAON POLYNOMIALS OF THE TYPE 1+frac{q-1}{m}} + ax$

  • Kim, Seog-Young;Lee, June-Bok
    • Communications of the Korean Mathematical Society
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    • v.10 no.4
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    • pp.823-829
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    • 1995
  • In this paper, we prove that $x^{1+\frac{q-1}{5}} + ax (a \neq 0)$ is not a permutation polynomial over $F_{q^r} (r \geq 2)$ and we show some properties of $x^{1+\frac{q-1}{m}} + ax (a \neq 0)$ over $F_{q^r} (r \geq 2)$.

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Carbon Storage of Quercus mongolica Stands by Latitude and Altitude in Korea

  • Kwon, Ki-Cheol;Lee, Don Koo
    • Journal of Korean Society of Forest Science
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    • v.95 no.2
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    • pp.220-231
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    • 2006
  • The study was conducted to investigate the differences in carbon storage of Quercus mongolica stands with respect to latitude and altitude in Korea. Study sites were located in Mt. Joongwang, Pyeongchang-gun, Gangwon-do (altitudes 1,300 m, 1,000 m, and 800 m), Mt. Taehwa, Gwangju-si, Gyeonggi-do (altitude 350 m), Mt. Wolak, lecheon-si, Chungcheongbuk-do (altitude 300 m), Mt. Baekwoon, Gwangyang-si, Jeollanam-do (altitude 800 m), and Mt. Halla, Jeju-do (altitude 1,000 m). Total carbon storage and annual carbon storage of Q. mongolica stands were 85-210 tonC/ha and 7.2-10.6 tonC/ha, respectively. Lower latitude (NE) stands of Q. mongolica showed more carbon storage and annual carbon storage than higher latitude stands. Carbon storage and annual carbon storage of Q. mongolica stands were increased in low altitude. Carbon storage of Q. mongolica stands was higher in the northern aspect than in the southern aspect. However, there were no significant differences in annual carbon storage between the aspects.

On Partitioning and Subtractive Ideals of Ternary Semirings

  • Chaudhari, Jaiprakash Ninu;Ingale, Kunal Julal
    • Kyungpook Mathematical Journal
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    • v.51 no.1
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    • pp.69-76
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    • 2011
  • In this paper, we introduce a partitioning ideal of a ternary semiring which is useful to develop the quotient structure of ternary semiring. Indeed we prove : 1) The quotient ternary semiring S/$I_{(Q)}$ is essentially independent of choice of Q. 2) If f : S ${\rightarrow}$ S' is a maximal ternary semiring homomorphism, then S/ker $f_{(Q)}$ ${\cong}$ S'. 3) Every partitioning ideal is subtractive. 4) Let I be a Q-ideal of a ternary semiring S. Then A is a subtractive ideal of S with I ${\subseteq}$ A if and only if A/$I_{(Q{\cap}A)}$ = {q + I : q ${\in}$ Q ${\cap}$ A} is a subtractive idea of S/$I_{(Q)}$.

Association of Colony Morphology with Coenzyme $Q_{10}$ Production and Its Enhancement from Rhizobium radiobacter T6102W by Addition of Isopentenyl Alcohol as a Precursor

  • Seo, Myung-Ji;Kook, Moo-Chang;Kim, Soon-Ok
    • Journal of Microbiology and Biotechnology
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    • v.22 no.2
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    • pp.230-233
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    • 2012
  • Rhizobium radiobacter T6102 was morphologically purified by the aniline blue agar plates to give two distinct colonies; white smooth mucoid colony (T6102W) and blue rough colony (T6102B). The coenzyme $Q_{10}$ ($CoQ_{10}$) was produced just by T6102W, showing 2.0 mg/g of $CoQ_{10}$ content, whereas the T6102B did not produce the $CoQ_{10}$. All of the used $CoQ_{10}$ biosynthetic precursors enhanced the $CoQ_{10}$ production by T6102W. Specifically, the supplementation of 0.75 mM isopentenyl alcohol improved the $CoQ_{10}$ concentration (19.9 mg/l) and content (2.4 mg/g) by 42% and 40%, respectively.

Association of Paraoxonase-1(Q192R and L55M) Gene Polymorphisms and Activity with Colorectal Cancer and Effect of Surgical Intervention

  • Ahmed, Nagwa S.;Shafik, Noha M.;Elraheem, Omar Abd;Abou-Elnoeman, Saad-Eldin A.
    • Asian Pacific Journal of Cancer Prevention
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    • v.16 no.2
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    • pp.803-809
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    • 2015
  • Background: Colorectal cancer (CRC) is a leading cause of cancer-related death. Oxidative DNA damage may contribute to cancer risk and the antioxidant paraoxonase is one endogenous free radical scavenger in the human body which could therefore exert an influeence. Purpose: Aim of this study was to determine the role of serum arylesterase (ARE) and paraoxonase 1(PON1) activities in CRC patients and to find any association between (PON1) Q192R and L55M gene polymorphisms in CRC patients. Also the serum ARE and PON1 activities in CRC patients will be investigated before and after surgery Materials and Methods: This study involved a total of 50 patients with newly diagnosed CRC and 80 healthy controls. PON1 and ARE activities were determined using an enzymatic spectrophotometric method. PON1 Q192R and L55M gene polymorphisms were determined using polymerase chain reaction-restriction fragment length polymorphism (PCR-RFLP) based restriction fragment analysis. The restriction enzyme AlwI was used to examine the Q192R polymorphism and Hsp92II for the L55M polymorphism. Results: Significant differences in the PON1 Q192R polymorphism were found between patients and controls. The Q allele was more frequent in the patient group than in controls, while the R allele was more frequent in the controls. Significant differences were found in the L55M polymorphism. Additionally, there were significant differences in L and M allele frequencies (p=0.001). The serum activities of PON1 and ARE were low in QQ and MM genotype. Conclusions: serum PON1 and ARE activities were significantly lower in CRC patients compared to healthy subjects. The R allele may protect against colorectal cancer.

Water Status and Photosynthetic Activities of Evergreen Broad-leaved Trees in Dadohae National Marine Park (다도해 해상 국립공원 상록활엽수의 수분상태와 광합성능)

  • Ihm, Byung-Sun;Gae-Hong Suh;Jeom-Sook Lee
    • The Korean Journal of Ecology
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    • v.16 no.3
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    • pp.353-364
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    • 1993
  • To elucidate ecophysiological factors affecting nutural distribution of evergreen broad-leabed trees in Danohad National Marine Park, water potential, relative water content and photosynthetic activities of 4 species, Cammellia japonica, Machilus thunbergii, Castanopsis cuspidata var.sieboldii and Quercus acuta, were potential began to decrease from 07:00h to its minimum value at 13:00h for C. cuspidata var. sieboldii (-14.3bar) and Q. acuta (-19.4bar) at 16:00 h for M. thunbergii(-17.0bar) and at 19:00 h for C. japonica (-14.5bar), and these showed similar trends to relative water content. Photosynthetic activities of 4 species began to increase from 7:00 h and reached maximum values before their minimum values of water potential occureed. Optimum temperature renges of photosynthetic activities was $18~20^{\circ}C$ for C. japonica - M. thunbergii and $14~16^{\circ}C$ for C. cuspidata var. sieboldii Quercus acuta.Q.acuta had the highest light saturation point of $0.4mM/m^2/s$ and C. japonica the lowest of $0.15mM/m^2/s$. Water potential of 4 species subjected to water stress, began to decrease after 1st day of drought and after 21th day of drought, those of C. japonica, M. thunbergii, C. cuspidata var. sieboldii and Q. acuta decreased to species began to decrease after 7th day of drought and after 21th day, those of M. thunbergii, C. cuspidata var. sieboldii and Q. acuta were dropped to about 50% and C. japonica 83.5%. Photosynthetic activity of 4 specie began to decline in the order of C. cuspidata var. sieboldii, Q.acuta, C. japonica and M. thunbergii after 10th day of drought. These results suggest that the segregated disributions of C. japonica - M. thunbergii on vally positions and C. cuspidata var. sieboldii - Q. acuta on slopes were associated with different responses of water status and photosyntheties to their environment.

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Output Characteristics of a Q-Switched Nd:YAG laser with GRM(Gaussian Reflectivity Mirror) unstable resonator (GRM(Gaussian Reflectivity Mirror)을 이용한 불안정 공진기형 Q-스위치 Nd:YAG 레이저의 출력특성)

  • Lee, Hee-Chul;Kim, Yong-Pyung
    • Korean Journal of Optics and Photonics
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    • v.16 no.2
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    • pp.152-158
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    • 2005
  • We investigated the operational characteristics of a Q-switched Nd:YAG laser, which has an unstable resonator with a GRM(Gaussian reflectivity mirror). With electrical input energy of 55 J, we obtained the fundamental energy of 470 mJ at 1064 nm and the frequency doubled energy of 280 mJ at 532 nm. The Top-Hat profile of the output beam was obtained at the near field, and beam divergence was 1.7 mard.

LOCAL AND GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO A POLYTROPIC FILTRATION SYSTEM WITH NONLINEAR MEMORY AND NONLINEAR BOUNDARY CONDITIONS

  • Wang, Jian;Su, Meng-Long;Fang, Zhong-Bo
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.1
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    • pp.37-56
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    • 2013
  • This paper deals with the behavior of positive solutions to the following nonlocal polytropic filtration system $$\{u_t=(\mid(u^{m_1})_x{\mid}^{{p_1}^{-1}}(u^{m_1})_x)_x+u^{l_{11}}{{\int_0}^a}v^{l_{12}}({\xi},t)d{\xi},\;(x,t)\;in\;[0,a]{\times}(0,T),\\{v_t=(\mid(v^{m_2})_x{\mid}^{{p_2}^{-1}}(v^{m_2})_x)_x+v^{l_{22}}{{\int_0}^a}u^{l_{21}}({\xi},t)d{\xi},\;(x,t)\;in\;[0,a]{\times}(0,T)}$$ with nonlinear boundary conditions $u_x{\mid}{_{x=0}}=0$, $u_x{\mid}{_{x=a}}=u^{q_{11}}u^{q_{12}}{\mid}{_{x=a}}$, $v_x{\mid}{_{x=0}}=0$, $v_x|{_{x=a}}=u^{q21}v^{q22}|{_{x=a}}$ and the initial data ($u_0$, $v_0$), where $m_1$, $m_2{\geq}1$, $p_1$, $p_2$ > 1, $l_{11}$, $l_{12}$, $l_{21}$, $l_{22}$, $q_{11}$, $q_{12}$, $q_{21}$, $q_{22}$ > 0. Under appropriate hypotheses, the authors establish local theory of the solutions by a regularization method and prove that the solution either exists globally or blows up in finite time by using a comparison principle.

Cardiac Lymphoma in a Shih Tzu Dog (씨츄 개에서 발생한 심장 림프종)

  • Kim, Tae-Young;Joo, Jeong-Hoon;Hyun, Changbaig
    • Journal of Veterinary Clinics
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    • v.30 no.3
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    • pp.196-200
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    • 2013
  • A 7 years-old intact female dog (4.8 kg) was referred with primary complaints of enlarged surface lymph nodes, cardiac murmur, coughing and exercise intolerance. Diagnostic imaging studies found cardiomegaly with distended caudal vena cava, marked left ventricular and interventrciular septal thickening and flattening, severe aortic and pulmonic stenosis (~5 m/s), and mitral and tricuspid regurgitation (~4 m/s). Cytology for the samples obtained from submandibular lymph node and left ventricle revealed high grade malignant lymphoma. The case was diagnosed as cardiac lymphoma. The dog was treated with prednisolone (2 mg/kg, PO, q24h), lomustine (80 $mg/m^2$ PO, q3wk), diltiazem (1 mg/kg, PO, q12h) and enalalpril (0.5 mg/kg, PO, q12h). The clinical signs were improved after therapy. The dog is still on the chemotherapy and regularly checked up.