• Journal of applied mathematics & informatics
• /
• 제27권5_6호
• /
• pp.1493-1499
• /
• 2009

Let $A_1$ and $A_2$ be nonzero complex idempotent and tripotent matrix, respectively. Denote a linear combination of the two matrices by A = $c_1A_1$ + $c_2A_2$, where $c_1,\;c_2$ are nonzero complex scalars. In this paper, under an assumption of $A_1A_2$ = $A_2A_1$, we characterize all situations in which the linear combination is tripotent. A statistical interpretation of this tripotent problem is also pointed out. Moreover, In [2], Baksalary characterized all situations in which the above linear combination is idem-potent by using the property of decomposition of a tripotent matrix, i.e. if $A_2$ is tripotent, then $A_2$ = $B_1-B_2$, where $B^2_i=B_i$, i = 1, 2 and $B_1B_2=B_2B_1=0$. While in this paper, by utilizing a method different from the one used by Baksalary in [2], we prove the theorem 1 in [2] again.

• 한국결정학회지
• /
• 제8권2호
• /
• pp.119-123
• /
• 1997

[Ni(L)]I1 (1) (L:3,5,10,12-Tetramethly-1,4,8,11-tetraazacyclotetradecane) 화합물을 합성하고 구조를 X-선 외귀법으로 규명하였다. 이 화합물은 직방정계, 공간군 Pcab, a=13.293(1) Å, b=28.550(7) Å, c=10.804(1) Å, z=8로 결정화되었다. 이 화합물의 구조는 최소 자승법으로 정밀화하였으며, 최종 신뢰도 R(Rw)값은 1851개의 회석반점에 대하여 0.043 및 0.046이였다. 이화합물의 결정구조는 약간 일그러진 반면 사각구조와 trans-III 형태를 갖는다.

• Mass Spectrometry Letters
• /
• 제12권4호
• /
• pp.152-158
• /
• 2021

Electrospray ionization (ESI) and ion mobility spectrometry-mass spectrometry (IMS-MS) were employed to investigate the solvated structures of ionic species in the lithium iodide electrolyte solution in the gas phase. The Li⁺I^-Li⁺ triple ion and single standalone Li+ ions solvated by 1,4-dioxane were successfully generated and observed by ESI-MS under the influence of dioxane vapor at the inlet region. Under the present experimental condition, (1,4-dioxane)_m·Li⁺ complex ions (m = 1, 2, and 3) and a (1,4-dioxane)·Li⁺I^-Li⁺ complex ion were observed, which were further examined by IMS to investigate their structures. The presence of multiple structural isomers was confirmed, which accounts for the endothermic conformational transition of 1,4-dioxane from a chair to a boat to achieve bidentate O-donor binding to Li⁺ and Li⁺I^-Li⁺. Further structural details critical for the ion-solvent interactions were also examined and discussed with the help of density functional theory calculations.

• Bulletin of the Korean Chemical Society
• /
• 제27권5호
• /
• pp.713-717
• /
• 2006

$S_2O$-donor macrocyclic isomers incorporating a xylyl group in o- ($L^1$), m- ($L^2$) and p-positions ($L^3$) extract no metal ions except silver(I) from aqueous to chloroform phase. And the magnitudes of %Ex for silver(I) are in the order of $L^1$ > $L^2$ > $L^3$. Taking this result into account, $L^1$-$L^3$ were utilized as membrane active components to prepare potentiometric silver(I)-selective electrodes. The proposed macrocycles-based electrodes E1 ($L^1$), E2 ($L^2$) and E3 ($L^3$) exhibited comparable results which show considerable selectivity toward silver(I) over alkali, alkali earth and other transition metal ions. Comparative NMR study on $L^1$-$L^3$ and their complexes with silver(I) in solution was also accomplished. In addition, a unique sandwich-type complex $[Ag(L^1)_2]CIO_4$ was prepared from the assembly reaction of $L^1$ with $AgClO_4$ and structurally characterized by an X-ray diffraction analysis.

• 분석과학
• /
• 제18권5호
• /
• pp.391-395
• /
• 2005

$[Cd(N_3)_2(2-ethylimidazole)_2]$ 착물을 합성하고 단결정 X-선 회절법으로 구조를 규명하였다. 이 착물은 단사정계, 공간군 Cc, a=16.200(3), b=12.926(3), $c=7.007(1){\AA}$, ${\beta}=102.29(3)^{\circ}$, $V=1433.7(5){\AA}^3$, Z=4로 결정화되었으며, 1874 개의 독립적인 회절반점에 대한 최종 신뢰도 인자 $R_1$ 및 ${\omega}R_2$ 값은 각각 0.0239 및 0.0604 이었다. Cd(II) 금속 원자는 4개의 azido 리간드와 2개의 2-ethylimidazole 리간드의 질소 원자가 배위되어 약간 찌그러진 팔면체 구조를 나타낸다. c 축 방향으로 배열되어 있는 Cd(II) 금속 원자 사이를 azido 리간드가 end-on (${\mu}-1$,1) 형태로 bridge 하고 2-ethylimidazole 리간드가 시스 형태로 결합하여 이 착물은 1차원의 zigzag 사슬 구조를 형성한다.

• 유기물자원화
• /
• 제30권1호
• /
• pp.23-32
• /
• 2022

본 연구는 강우시 산업단지에서 발생하는 비점오염원 유출 특성을 평가하여 비점오염원 부하량 및 원단위 산정을 위한 기초자료로 활용하기 위하여 C 산업단지에 대하여 강우유출수 수질모니터링을 수행하였다. IETD 분석결과, 강우지속시간 약 21시간, 강우량 26.44mm인 27시간일 때 비점오염원 모의를 위한 대표 강우 사상으로 선정되었으며, 유량 및 수질조사 모니터링 결과, 1차 강우시 강수량 12.2mm, 강우지속기간 12hr, 선행 건기일 수 3일이었으며, 2차 강우시 강수량 22.1mm, 강우지속시간 12hr, 선행 건기일 수는 7일이었다.

• 충청수학회지
• /
• 제28권3호
• /
• pp.451-463
• /
• 2015

A continuous and non-decreasing function ${\psi}$ and another continuous function ${\phi}$ with ${\phi}(z)=0{\Leftrightarrow}z=0$ defined on $\mathbb{C}^+=\{x+yi:x,y{\geq}0\}$ are introduced, the ${\psi}-{\phi}$-contractive or expansive type conditions are considered, and the existence theorems of common fixed points for two mappings defined on a complex valued metric space are obtained. Also, Banach contraction principle and a fixed point theorem for a I-expansive type mapping are given on complex valued metric spaces.

• 한국환경과학회지
• /
• 제1권2호
• /
• pp.69-80
• /
• 1992

Effects of light on leaf senescence of Phseolus vulgaris were investigated by measuring the disassembly of chlorophyll-protein complexes in detached leaves which had been kept in the dark or under light. The loss of chlorophyll accompanied by degradation of chlorophyll- protein complexes. PSI (photosystem I) complex containing LHCI (light harvesting complex of PSI) apoproteins was rapidly decreased after the early stage of dark-induced senescence. RC(reaction center)-Cores was slightly increased until 4 d and slowly decreased thereafter. As disassembly of LHCII trimer progressed after the late stage of senescence, there was a steady increase in the relative amount of SC(small complex)-2 containing LHCII monomer. On the other hand, white and red light adaptation caused the structural stability of chlorophyll-protein complexes during dark-induced senescence. Particularly, red light was more effective in the retardation of LHCII breakdown than white light, whereas white light was slightly effect in protecting the disassembly of PSI complex compared to red light. These results suggest, therefore, that light may be a regulatory factor for stability of chlorophyll-protein complexes in the senescent leaves.

• Kyungpook Mathematical Journal
• /
• 제58권1호
• /
• pp.149-165
• /
• 2018

A. Bejancu [2] was the first who instigated the new concept in differential geometry, i.e., CR-submanifolds. On the other hand, CR-submanifolds were generalized by B. Y. Chen [7] as slant submanifolds. Further, he gave the notion of a Kaehlerian slant submanifold as a proper slant submanifold. This article has two objectives. For the first objective, we derive Simons' type formula for a minimal Kaehlerian slant submanifold in a complex space form. Then, by applying this formula, we give a complete classification of a minimal Kaehlerian slant submanifold in a complex space form and also obtain its some immediate consequences. The second objective is to prove some results about semi-parallel submanifolds.

• 한국주거학회논문집
• /
• 제12권3호
• /
• pp.1-12
• /
• 2001

The purpose of this study was to investigate the outdoor space of the recent built apartment complex in Ulsan and to provide the basic information for planning and apartment outdoor space. Multiple methods were utilized such as questionnaire, observation, behavior-mapping, and photography. The sample consisted of 382 residents living in four apartment complex in Ulsan. data were analyzed by frequency and percentage using SPSS PC+. The observation was performed in seven outdoor space, i.e., green area, road area, exercise area, play area, parking area, and approach area. According to the findings of this study, residents did not actively involve in outdoor activities and seldom use the outdoor space. Various changes and erosions were observed as a trace, especially near fence and grass area because of unplanned location of entrances. Finally this study suggested several planning guidelines for outdoor space in apartment complex.