• Title/Summary/Keyword: $T_1R$

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Age and Growth of the Stone Flounder Rareius Bocolortus in Approaches to Kyongyolto of Yellow Sea Korea (한국 서해안 격열비열도 근해산 동가자미의 연령과 성장)

  • 박종수
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.31 no.2
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    • pp.121-126
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    • 1995
  • Age and growth of stone flounder kareius bicolortus in approaches to Kyongyolbiyolto of Yellow sea were studied by otolith reading of 248 fishes from September 1992 to August 1993. Examination of the ourter margins of the otoliths showed that th hyaline zone as annulus was formed once a year and that its formation was completed at the end of the spawning season(Jan. to Feb.). Growth of the fish was expressed by the von Bertalanffy's equation as Lt=313.7[1-exp{-0.463(t+0.0704)}] for males and Lt=478.6[1-exp{-0.286(t-0.1619)}] for females, where Lt is body length in mm and It is age in years. It was found that growth of males and females differs, with the females showing a higher growth than the males. Growth in body weight was also examined. The oldest fish were seven years old for males and females.

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Analysis of cross-correlation functions of non-linear sequences (비선형수열의 상호상관함수 분석)

  • Cho, Sung-Jin;Yim, Ji-Mi
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.5
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    • pp.1138-1144
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    • 2013
  • Cross-correlation functions of maximal period sequences have been studied for decades. In this paper, we find the cross-correlation values of non-linear sequences $S_a^r(t)=Tr_1^m\{[Tr_m^n(a{\alpha}^t+{\alpha}^{dt})]^r\}$ having the maximal period $2^n-1$ for Niho type decimation $d=2^{m-2}(2^m+3)$, where n=2m. In particular, we call d Niho type decimation in case $d{\equiv}1(mod\;2^m-1)$. And we analyze the cross-correlation distributions of $S_a^r(t)$ when the phase shift ${\tau}=(2^m+1)k(0{\leq}k{\leq}2^m-2)$ and provide experiment results.

Determination of Rheological Properties of Surimi Gels and Imitation Crab-leg Products by Stress-Relaxation Test (시판 어묵 및 게맛살의 변형력완화 실험을 통한 유변학적 특성)

  • Choi, Won-Seok;Lee, Cherl-Ho
    • Korean Journal of Food Science and Technology
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    • v.30 no.5
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    • pp.1085-1091
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    • 1998
  • The purpose of this study was to investigate the rheological properties of surimi gels and imitation crab-leg products by stress-relaxation test and to examine the correlations between stress-relaxation parameters and T.P.A. parameters. The linear viscoelasticity of surimi gels and imitation crab-leg products was observed in the range of the strain of $5{\sim}20%$ at cross-head speed 2.4 mm/sec. The average tensile forces of surimi gels and imitation crab-leg products were similar, 370.4 g and 436.4 g, respectively, but surimi gels showed higher relaxation time and viscous component (17256.1 sec, $1.357{\times}10^{10}$ poise) than those of imitation crab-leg products (6110 sec, $0.519^{\ast}10^{10}$ poise). Estimated tensile force of each exponential term in relaxation test was highly related with hardness, gumminess and chewiness of T.P.A (r=0.93, 0.93, 0.95, p<0.01), the relaxation time of each exponential term was rrelated with cohesiveness (r=0.89, p<0.01) of T.P,A. and the elastic component of exponential term with gumminess, chewiness and hardness (r=0.92, 0.94, 0.93. p<0.01) of T.P.A.. The viscous component of exponential term was related with cohesiveness (r=0.83, p<0.05) of T.P.A.. The degree of texturization was negatively related with the relaxation time and viscous component (r=-0.92, -0.96, p<0.01).

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FINITENESS PROPERTIES OF EXTENSION FUNCTORS OF COFINITE MODULES

  • Irani, Yavar;Bahmanpour, Kamal
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.2
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    • pp.649-657
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    • 2013
  • Let R be a commutative Noetherian ring, I an ideal of R and T be a non-zero I-cofinite R-module with dim(T) ${\leq}$ 1. In this paper, for any finitely generated R-module N with support in V(I), we show that the R-modules $Ext^i_R$(T,N) are finitely generated for all integers $i{\geq}0$. This immediately implies that if I has dimension one (i.e., dim R/I = 1), then $Ext^i_R$($H^j_I$(M), N) is finitely generated for all integers $i$, $j{\geq}0$, and all finitely generated R-modules M and N, with Supp(N) ${\subseteq}$ V(I).

THE EXISTENCE OF (n,r,t,k)-ARRANGEMENTS

  • Jeong, Dal-Young
    • Communications of the Korean Mathematical Society
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    • v.14 no.1
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    • pp.19-29
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    • 1999
  • B. Gr nbaum defined the arrangements of simple curves and got many combinatorial properties. In this paper, we studied the existence of (n,r,t,k)-arrangements and the existence of digon-free(n,r,t,k)-arrangements, which is a generalized version of Gr nbaum`s definition.

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Intermediate Subrings of Normalizing Extensions

  • Min, Kang-Joo
    • Journal of the Chungcheong Mathematical Society
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    • v.7 no.1
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    • pp.87-95
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    • 1994
  • Relationships between the prime ideals of a ring R and of a normalizing extension S have been studied by several authors. Relationships between the prime ideals of a ring R and of an intermediate normalizing extension T also have studied by several authors where $R{\subset}T{\subset}S$. In this note, some relationships between prime ideals of T and S are studied.

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THE TOTAL GRAPH OF A COMMUTATIVE RING WITH RESPECT TO PROPER IDEALS

  • Abbasi, Ahmad;Habibi, Shokoofe
    • Journal of the Korean Mathematical Society
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    • v.49 no.1
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    • pp.85-98
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    • 2012
  • Let R be a commutative ring and I its proper ideal, let S(I) be the set of all elements of R that are not prime to I. Here we introduce and study the total graph of a commutative ring R with respect to proper ideal I, denoted by T(${\Gamma}_I(R)$). It is the (undirected) graph with all elements of R as vertices, and for distinct x, y ${\in}$ R, the vertices x and y are adjacent if and only if x + y ${\in}$ S(I). The total graph of a commutative ring, that denoted by T(${\Gamma}(R)$), is the graph where the vertices are all elements of R and where there is an undirected edge between two distinct vertices x and y if and only if x + y ${\in}$ Z(R) which is due to Anderson and Badawi [2]. In the case I = {0}, $T({\Gamma}_I(R))=T({\Gamma}(R))$; this is an important result on the definition.

Comparison of Electrocardiographic Time Intervals, Amplitudes and Vectors in 7 Different Athletic Groups (운동종목별(運動種目別) 선수(選手)의 심전도시간간격(心電圖時間間隔), 파고(波高) 및 벡터의 비교(比較))

  • Kwon, Ki-Young;Lee, Won-Jung;Hwang, Soo-Kwan;Choo, Young-Eun
    • The Korean Journal of Physiology
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    • v.19 no.1
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    • pp.61-72
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    • 1985
  • In order to compare the cardiac function of various groups of athletes, the resting electrocardiographic time intervals, amplitudes and vectors were analyzed in high school athletes of throwing(n=7), jumping(n=11), short track(n=8), long track(n=14), boxing(n=7), volleyball(n=8) and baseball(n=9), and nonathletic control students(n= 19). All athletic groups showed a significantly longer R-R interval(0.96-1.09 sec) than the controls (0.78 sec). Therefore, the heart rate was significantly slower in atheletes than in the control, but was not different among the different athletic groups. R-R interval is the sum of intervals of P-R, 0-T and T-P: P-R and Q-T intervals showed no difference among the control and athletic groups, but T-P interval in the jump, short track, long track and boxing groups was significantly higher than the control. R-B interval showed a significant correlation with T-P or Q-T intervals but no correlation with P-R or QRS complex. Comparing the amplitude of electrocardiographic waves, the athletic groups showed a lower trend in P wave than the controls. T wave in lead $V_5\;(Tv_5)$ was similar in the athletic and control groups. The long track group showed a significantly higher waves of $Rv_5$, $Sv_1$, and the sum of $Rv_5$ and $Sv_1$ than not only the controls but also the other athletic group. The angles of P, QRS, and T vector in the frontal and horizontal planes were not different among the control and all the athletic groups. Each athletic group stowed a lower trend in amplitude of P vector in the frontal plane, but in horizontal plane, throwing, jump, short track and baseball groups showed a significantly lower than the controls. The amplitude of QRS and T vector was similar in the athletic and control groups, but only the baseball group showed a significantly higher QRS vector in the frontal plane. In taken together, all the athletic groups showed a slower heart rate than the controls, mainly because of elongated T-P interval. Comparing the electrocardiographic waves and vector, the athletic groups showed lower amplitudes of P wave and P vector than the controls. Values of $Rv_5$ and $Sv_1$ strongly suggest that only the long distance runners among the various athletic groups developed a left ventricular hypertrophy.

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The segregation mode of plant height in the crosses of rice varieties 1. Indica X Indica crosses (수도 품종간 교잡에 있어서의 초장의 유전 분리 1. Indica x Indica 조합)

  • Heu, Mun-Hue;Beachell, H.M.;Chang, T.T.
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.5 no.1
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    • pp.37-43
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    • 1969
  • A genetrc study was made on plant height of indica rices with a few segregating F2 populations involving three semi-dwarf varieties such as T(N)I, CP231-SLO17, and B569A12. These populations were grown in breeding nursery at the International Rice Research Institute (IRRI) during several seasons. 20 to 25 day old seedlings grown at upland seedbed were transplanted to the paddy in a single plant hill spacing 30 cm ${\times}$ 25cm. Measurements of plant height were made from the juncture between culm and roots to the tip of the longest panicle of a plant pulled out from the paddy when they are matured. The results are summarized as follows: 1. Tall indica varieties originated from the south-east Asian countries could be classified into two groups depending upon their allelism whether they showed monogenic segregating ratio of 3:1 or not when they were crossed to T(N)1. 2. Most of U.S. varieties, especially semi-dwarf breedirg materials such as CP231 ${\times}$ SIO17 and B569A12, did not show monogenic segregating mode of 3:1 ratio when they were crossed to T(N)1 or to other varieties bearing the same genetic allele of T(N)1 such as Peta and Sigadis.

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WEAK α-SKEW ARMENDARIZ RINGS

  • Zhang, Cuiping;Chen, Jianlong
    • Journal of the Korean Mathematical Society
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    • v.47 no.3
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    • pp.455-466
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    • 2010
  • For an endomorphism $\alpha$ of a ring R, we introduce the weak $\alpha$-skew Armendariz rings which are a generalization of the $\alpha$-skew Armendariz rings and the weak Armendariz rings, and investigate their properties. Moreover, we prove that a ring R is weak $\alpha$-skew Armendariz if and only if for any n, the $n\;{\times}\;n$ upper triangular matrix ring $T_n(R)$ is weak $\bar{\alpha}$-skew Armendariz, where $\bar{\alpha}\;:\;T_n(R)\;{\rightarrow}\;T_n(R)$ is an extension of $\alpha$ If R is reversible and $\alpha$ satisfies the condition that ab = 0 implies $a{\alpha}(b)=0$ for any a, b $\in$ R, then the ring R[x]/($x^n$) is weak $\bar{\alpha}$-skew Armendariz, where ($x^n$) is an ideal generated by $x^n$, n is a positive integer and $\bar{\alpha}\;:\;R[x]/(x^n)\;{\rightarrow}\;R[x]/(x^n)$ is an extension of $\alpha$. If $\alpha$ also satisfies the condition that ${\alpha}^t\;=\;1$ for some positive integer t, the ring R[x] (resp, R[x; $\alpha$) is weak $\bar{\alpha}$-skew (resp, weak) Armendariz, where $\bar{\alpha}\;:\;R[x]\;{\rightarrow}\;R[x]$ is an extension of $\alpha$.