• Title/Summary/Keyword: 1/n

Search Result 53,292, Processing Time 0.064 seconds

ISHIKAWA AND MANN ITERATIVE PROCESSES WITH ERRORS FOR NONLINEAR $\Phi$-STRONGLY QUASI-ACCRETIVE MAPPINGS IN NORMED LINEAR SPACES

  • Zhou, H.Y.;Cho, Y.J.
    • Journal of the Korean Mathematical Society
    • /
    • v.36 no.6
    • /
    • pp.1061-1073
    • /
    • 1999
  • Let X be a real normed linear space. Let T : D(T) ⊂ X \longrightarrow X be a uniformly continuous and ∮-strongly quasi-accretive mapping. Let {${\alpha}$n}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} , {${\beta}$n}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} be two real sequences in [0, 1] satisfying the following conditions: (ⅰ) ${\alpha}$n \longrightarrow0, ${\beta}$n \longrightarrow0, as n \longrightarrow$\infty$ (ⅱ) {{{{ SUM from { { n}=0} to inf }}}} ${\alpha}$=$\infty$. Set Sx=x-Tx for all x $\in$D(T). Assume that {u}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} and {v}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} are two sequences in D(T) satisfying {{{{ SUM from { { n}=0} to inf }}}}∥un∥<$\infty$ and vn\longrightarrow0 as n\longrightarrow$\infty$. Suppose that, for any given x0$\in$X, the Ishikawa type iteration sequence {xn}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} with errors defined by (IS)1 xn+1=(1-${\alpha}$n)xn+${\alpha}$nSyn+un, yn=(1-${\beta}$n)x+${\beta}$nSxn+vn for all n=0, 1, 2 … is well-defined. we prove that {xn}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} converges strongly to the unique zero of T if and only if {Syn}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} is bounded. Several related results deal with iterative approximations of fixed points of ∮-hemicontractions by the ishikawa iteration with errors in a normed linear space. Certain conditions on the iterative parameters {${\alpha}$n}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} , {${\beta}$n}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} and t are also given which guarantee the strong convergence of the iteration processes.

  • PDF

ASYMPTOTIC BEHAVIOR OF SINGULAR SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS

  • BAN, HYUN JU;KWAK, MINKYU
    • Honam Mathematical Journal
    • /
    • v.17 no.1
    • /
    • pp.107-118
    • /
    • 1995
  • We study the asymptotic behavior of nonnegative singular solutions of semilinear parabolic equations of the type $$u_t={\Delta}u-(u^q)_y-u^p$$ defined in the whole space $x=(x,y){\in}R^{N-1}{\times}R$ for t>0, with initial data a Dirac mass, ${\delta}(x)$. The exponents q, p satisfy $$1 where $q^*=max\{q,(N+1)/N\}$.

  • PDF

SOME CONDITIONS FOR COMAXIMALITY OF IDEALS

  • Ahn, Sung Hun
    • Korean Journal of Mathematics
    • /
    • v.8 no.1
    • /
    • pp.19-26
    • /
    • 2000
  • In this paper, it is shown that if R is a commutative ring with identity and there exists a multiplicatively closed subset S of R such that $S{\cap}Z(R/(I_1I_2{{\cdots}I_n))={\emptyset}$ and $I_1R_s,I_2R_s{\cdots},I_nR_s$ are pairwise comaximal, then $I_1I_2{\cdots}I_n=I_1{\cap}I_2{\cap}{\cdots}{\cap}I_n={\cap}^n_{i=1}(I_i\;:_R\;I_1{\cdots}I_{i-1}I_{i+1}{\cdots}I_n)$.

  • PDF

Effect of Growth and Yield Potential on the Level of Additional Manure of the Leaf of Perilla Organic Cultivation (잎들깨 유기재배 추비수준별 생육 및 수량성)

  • Kim, Yong-Soon;Lim, Keong-Ho;Seo, Yung-Won;Yang, Seung-Koo;Kim, Sun-Guk;Kim, Hong-Jae
    • Proceedings of the Korean Society of Organic Agriculture Conference
    • /
    • 2009.12a
    • /
    • pp.288-288
    • /
    • 2009
  • WTO가 진행되고 한미 FTA 협상타결로 농업농촌이 어려움을 격고 있으며 EU, 중국, 인도 등과의 FTA 협상도 검토되고 있다. 또한 소득수준 향상으로 소비자들이 웰빙 건강식품에 대한 관심이 고조되면서 이제는 농산물의 안전성과 기능성, 맛 등이 우수한 고품질 안전농산물 생산이 농업의 핵심과제로 대두되고 있다. 이와 같이 급변하는 농업여건에 대응해 나가기 위해서는 농업정책의 최우선과제인 친환경농업에 적극 동참하여 안전하고 우수한 농산물을 생산해야 할 것이다. 잎들깨의 재배에 있어 주생산 요소의 한 가지는 영양생장을 잘 조절해야 하고 기비보다는 추비에 보다 많은 기술이 요구되고 있다. 이에 본 연구의 목적은 잎들깨 추비시용에 있어 화학비료를 대체 유기질 비료를 이용하여 추비수준별 생육 및 수량성을 구명 하는데 있다. 재배방법은 재식거리는 10 cm${\times}$7cm(137,500주/10a) 로 하였으며 기비는 유기질비료(N-P-K=3.2:4.2:1.1)를 N량 기준으로 5.2kg/10a 을 시용하였다. 추비시용 처리는 10a당 N 0kg, N1.2kg, N1.5kg, N 1.8kg 등 4처리를 두었으며, 추비는 유기질 비료 (N-P-K=4.0-2.0-1.5)를 N 기준으로 생육에 따라 매회 수확 후에 시용 하였으며, 시용 방법에 있어 관수는 1 회 급여시 유기질 비료를 10a당 물 5톤에 희석하여 총 5회를 주었으며 관수방법은 점적호스를 이용하여 저면 관수 하였다. 재배기간 중 10a당 T-N 시용량은 N 0kg 재배는 5.2kg, N 1.2kg 재배는 11.2kg, N 1.5kg재배는 12.7kg, N 1.8kg재배는 14.2kg을 시용하였다. 재배 후 처리별 N 흡수량은 N 1.8kg구 33.1kg, N 1.5kg구 30.0kg, N 1.2kg구 25.7kg, N 0kg구 18.1kg순으로 나타났다. 생육은 초장, 경경, 엽장, 엽폭, 엽중은 추비 시용량이 높을수록 향상되었고, 마디수 발생은 추비 수준 간 변동이 없었다. 병해충 발생정도는 병은 시들음병, 역병, 노균병 순으로 발생하였고, 충은 잎말이나방, 잿빛곰팡이, 진딧물 순으로 발생되었다. 수량성은 N 1.5kg 재배구가 N 1.2kg 대비 115%, N 0kg 대비 169%를 수확하여 타 처리에 비해 비교적 높게 나타났다.

  • PDF

Preparation and Properties of $N^1,N^1,N^4,N^4$-Tetrakis(hydroxyethyl)cyclohexanetrans-1,4-dicarboxamide as a Crosslinker of Polyester Powder Coatings (폴리에스터계 분체도료용 경화제 $N^1,N^1,N^4,N^4$-Tetrakis(hydroxethyl) cyclohexane-trans-1,4-dicarboxamide의 제조 및 특성)

  • Jung, Hong-Ryun;Heo, Joon;Lee, Wan-Jin;Kim, Hyung Jin;Lim, Hyung Soo
    • Applied Chemistry for Engineering
    • /
    • v.20 no.2
    • /
    • pp.195-200
    • /
    • 2009
  • To develop a crosslinker for the polyester powder coatings, $N^1,N^1,N^4,N^4$-tetrakis(hydroxyethyl)cyclohexane-1,4-dicarboxamide (Cy-${\beta}-HAA$), incorporated with a cyclohexane ring within the main chain of commercial ${\beta}-hydroxyalkylamide$ (${\beta}-HAA$), was prepared from the amidation of dimethyl trans-1,4-cyclohexanedicarboxylate and diethanolamine in the presence of $NaOCH_3$, The structure of $Cy-{\beta}-HAA$ was confirmed by its NMR, FT-IR and ESI-MS spectra. $Cy-{\beta}-HAA$ was thermally more stable than ${\beta}-HAA$. When $Cy-{\beta}-HAA$ was used as a crosslinker for the polyester powder coatings, it provided the smooth coating surface and reduced the formation of pinholes in the coating surface with comparison with ${\beta}-HAA$.

IDEMPOTENCE PRESERVING MAPS ON SPACES OF TRIANGULAR MATRICES

  • Sheng, Yu-Qiu;Zheng, Bao-Dong;Zhang, Xian
    • Journal of applied mathematics & informatics
    • /
    • v.25 no.1_2
    • /
    • pp.17-33
    • /
    • 2007
  • Suppose F is an arbitrary field. Let ${\mid}F{\mid}$ be the number of the elements of F. Let $T_{n}(F)$ be the space of all $n{\times}n$ upper-triangular matrices over F. A map ${\Psi}\;:\;T_{n}(F)\;{\rightarrow}\;T_{n}(F)$ is said to preserve idempotence if $A-{\lambda}B$ is idempotent if and only if ${\Psi}(A)-{\lambda}{\Psi}(B)$ is idempotent for any $A,\;B\;{\in}\;T_{n}(F)$ and ${\lambda}\;{\in}\;F$. It is shown that: when the characteristic of F is not 2, ${\mid}F{\mid}\;>\;3$ and $n\;{\geq}\;3,\;{\Psi}\;:\;T_{n}(F)\;{\rightarrow}\;T_{n}(F)$ is a map preserving idempotence if and only if there exists an invertible matrix $P\;{\in}\;T_{n}(F)$ such that either ${\Phi}(A)\;=\;PAP^{-1}$ for every $A\;{\in}\;T_{n}(F)\;or\;{\Psi}(A)=PJA^{t}JP^{-1}$ for every $P\;{\in}\;T_{n}(F)$, where $J\;=\;{\sum}^{n}_{i-1}\;E_{i,n+1-i}\;and\;E_{ij}$ is the matrix with 1 in the (i,j)th entry and 0 elsewhere.

An Optimal Parallel Sort Algorithm for Minimum Data Movement (최소 자료 이동을 위한 최적 병렬 정렬 알고리즘)

  • Hong, Seong-Su;Sim, Jae-Hong
    • The Transactions of the Korea Information Processing Society
    • /
    • v.1 no.3
    • /
    • pp.290-298
    • /
    • 1994
  • In this paper we propose parallel sorting algorithm, taking 0( $n^{n}$ log n) time complexity, 0( $n^{x}$ log n) cost (parallel running time * number of processors) and 0( $n^{1-}$x+ $n^{x}$ )data movement complexity under the ERWW- PRAM model. The methods for solving these problems similar. Parallel algorithm finds pivot for partitioning the data into ordered subsets of approximately equal size by using encording pointers..

  • PDF

Differentiation of Fusarium oxysporum f. sp. fragariae Isolates by Random amplified Polymorphic DNA (RAPD) Analysis. (Random Amplified Polymorphic DNA(RAPD)를 이용한 딸기 시들음병균(Fusarium oxysporum f. sp. fragariae)의 분류)

  • 현재욱;박원목
    • Korean Journal Plant Pathology
    • /
    • v.12 no.1
    • /
    • pp.41-46
    • /
    • 1996
  • 본 실험은 이병 딸기의 조직에서 분리 동정된 시들음병균(Fusarium oxysporum f. sp. fragariae) 균주들의 유?거 변이를 random amplified polymorphic DNA(RAPD) marker들을 이용하여 조사하였다. 총 24개의 딸기 시들음병 균주들의 DNA를 주형으로 하여 16개의 random 10-mer primer들을 사용하여 증폭시킨 결과 총 231개의 marker들을 이용하여 유전적 변이를 조사해 본 결과 크게 RAPD I과 RAPD II의 2개 그룹으로 나눌 수 있었다. RAPD I그룹에 속하는 균주는 VCG A에 속하는 Y1, K1, K2, K3, K4, N2, N3, N4-1, N6-1, N6-2, N8, N9, N10, M1-2-1 균주, VCG B에 속하는 M4-1 균주 그리고 VCG C에 속하는 N1, Y2 균주들이었고, RAPD II그룹에는 VCG B에 속하는 M1-1, M2-2-1, M2-4-2, M3-2, M3-3-2 균주와 VCG D에 속하는 N1 1 균주가 속하였다. 이들 2그룹 간에는 31%의 유사성이 있었다.

  • PDF

Refinement of the Structure of p-Dimethylaminobenzaldehyde 4-(p-Ethoxyphenyl) Thiosemicarbazone (p-Dimethylaminobenzaldehyde 4-(p-Ethoxyphenyl) Thiosemicarbazone구조의 정밀화)

  • Seo, Il-Hwan;Seo, Chu-Myeong;Park, Yeong-Ja
    • Korean Journal of Crystallography
    • /
    • v.2 no.1
    • /
    • pp.12-16
    • /
    • 1991
  • C18H22N4OS, Mr=342.47, monoclinic, P2₁/c,a=11.802(2), b=31.962(2), c=9.829(2)A, β=100.12(1)˚, V=3694.8A3,F(000)=1472, Z=8, Dx=1.246 Mg m-3, Dm=1.17Mg m-3,λ=0.71073 A, μ=0.15mm-1, T=294 K. final R=0.0856 for 3718 observed reflection (Fo>3σ(Fo)) There are two molecules in an asymmetric unit and a major difference between these molecules is in the C(9)-N(1)-C(6)-C(7) torsion angles [58.8(8)˚and 1(1)˚]. Both molecules have intramolecular N(1)-H(10)'N(3) hydrogen bonds [ 2.613(7) and 2.566(7) A] and assume V-shaped conformation with N(2) atoms at the verices. The two independent molecules are linked by the two N(2)-H(11)'S' hydrogen bonds[3.367(5) A and 3.421(4)A] and the dimergen are held together by van der Waals forces.

  • PDF

Assessment on Nitrous Oxide (N2O) Emissions different Nitrogen Application Rates during the Red Pepper Cultivation in Flat Upland

  • Lee, Jong-Eun;Yun, Yeo-Uk;Lee, Jin-Il;Nam, Yun-Gyu;Kim, Gun-Yeob;Kim, Sun-Ju
    • Korean Journal of Soil Science and Fertilizer
    • /
    • v.47 no.1
    • /
    • pp.59-65
    • /
    • 2014
  • Generally, nitrogen (N) fertilization higher than the recommended dose is applied during vegetable cultivation for increasing in productivity. However, excessive N application rate beyond plant requirement could cause adverse environmental impact such as nitrate leaching and nitrous oxide emission. In this experiment, the impacts of N fertilization was studied on nitrous oxide ($N_2O$) emission to standardize the optimum fertilization level for minimizing of $N_2O$ emission as well as most of the crop productivity. Herein, we assessed the $N_2O$ emission in the flat upland soil which was cultivated with different N application rates on red pepper for 3 years (2010~2012). $N_2O$ emission was measured in chemical N fertilizer amounts 0 (N 0), 95 (N 0.5), 190 (N 1.0), $380(N_2.0)kgha^{-1}$ by using the abnormal shape chamber closed repeating three times. In average for 3 years, the total $N_2O$ emissions of each treatment in field of soybean were 2.110 (N 0), 3.165 (N 0.5), 5.039 (N 1.0), and $7.228(N_2.0)kgN_2Oha^{-1}yr^{-1}$, respectively. And then the primary regression between nitrogen fertilizer amount and the total $N_2O$ emission was showed as y = 0.0138x + 2.0942 ($r^2=0.9885$), and an average of the emission factor was $EF_1$ 0.0148(0.0118~0.0191) $N_2O-NkgN^{-1}kg^{-1}$ from 2010 to 2012. The result was a little higher than the emission default of the IPCC 1996 Guideline ($EF_1$ 0.0125) when the results are converted into $N_2O$ emission factor.