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COMMUTATIVITY OF MULTIPLICATIVE b-GENERALIZED DERIVATIONS OF PRIME RINGS

  • Muzibur Rahman Mozumder;Wasim Ahmed;Mohd Arif Raza;Adnan Abbasi
    • Korean Journal of Mathematics
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    • v.31 no.1
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    • pp.95-107
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    • 2023
  • Consider ℛ to be an associative prime ring and 𝒦 to be a nonzero dense ideal of ℛ. A mapping (need not be additive) ℱ : ℛ → 𝒬mr associated with derivation d : ℛ → ℛ is called a multiplicative b-generalized derivation if ℱ(αδ) = ℱ(α)δ +bαd(δ) holds for all α, δ ∈ ℛ and for any fixed (0 ≠)b ∈ 𝒬s ⊆ 𝒬mr. In this manuscript, we study the commutativity of prime rings when the map b-generalized derivation satisfies the strong commutativity preserving condition and moreover, we investigate the commutativity of prime rings that admit multiplicative b-generalized derivation, which improves many results in the literature.

Microwave Absorbing Properties of Rubber Composites Containing Soft Magnetic Fe-Alloy Particles (철계 연자성 합금 분말을 함유한 고무 복합재의 전파흡수특성)

  • Cho, Han-Shin;Kim, Sung-Soo
    • Journal of Powder Materials
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    • v.20 no.2
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    • pp.125-128
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    • 2013
  • Magnetic and dielectric properties of rubber composites are controlled by using two kinds of high-permeability metal particles with different electrical conductivity (Sendust, Permalloy), and their effect on microwave absorbance has been investigated, focusing on the quasi-microwave frequency band (0.8-2 GHz). Noise absorbing sheets are composite materials of magnetic flake particles of high aspect ratio dispersed in polymer matrix with various filler amount of 80-90 wt.%. The frequency dispersion and magnitude of complex permeability is almost the same for Sendust and Permalloy composite specimens. However, the complex permittivity of the Permalloy composite (${{\varepsilon}_r}^{\prime}{\simeq}250$, ${{\varepsilon}_r}^{{\prime}{\prime}}{\simeq}50$) is much greater than that of Sendust composite (${{\varepsilon}_r}^{\prime}{\simeq}70$, ${{\varepsilon}_r}^{{\prime}{\prime}}{\simeq}0$). Due to the large dielectric permittivity of Permalloy composite, the absorbing band is shifted to lower frequency region. However, the investigation of impedance matching reveals that the magnetic permeability is still small to satisfy the zero-reflected condition at the quasi-microwave frequency band, resulting in a small microwave absorbance lower than 10 dB.

The Effect of Initial α' on Low and High Cycle Fatigue Behavior of STS 304 Stainless Steel (STS 304 강의 저주기 및 고주기 피로에 있어 초기 마르텐사이트의 영향)

  • Lee, Hyun-Seung;Sin, Hyung-Ju;Kim, Song-Hee
    • Journal of Industrial Technology
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    • v.21 no.B
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    • pp.331-339
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    • 2001
  • Zero to tension fatigue tests and strain controlled fatigue tests were carried out to find how initial strain induced martensite, ${\alpha}^{\prime}$ affects low and high cycle fatigue behavior and fatigue crack growth mechanisms. Microscopic study and phase analysis were carried out with TEM, SEM, EDAX, Optical Microscope, Ferriscope, and X-ray diffractometry. The amount of Initial ${\alpha}^{\prime}$ was controlled from 0% to 33% by controlling the temperatures for cold working and heat treatment. Lower contents of initial ${\alpha}^{\prime}$ showed higher fatigue resistance in low cycle fatigue but lower fatigue resistance in high cycle fatigue because it is ascribed to the more transformation of ${\alpha}^{\prime}$ martensite during low cycle fatigue and higher ductility. In high cycle fatigue, fatigue life is attributed to the strength and phase transformation of austenite into ${\alpha}^{\prime}$ during fatigue was negligible. ${\gamma}$ boundary, ${\gamma}/twin$ boundary, and ${\gamma}/{\alpha}^{\prime}$ boundary were found to be the preferred site of fatigue crack initiation.

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SUFFICIENT CONDITIONS FOR STARLIKENESS

  • RAVICHANDRAN, V.;SHARMA, KANIKA
    • Journal of the Korean Mathematical Society
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    • v.52 no.4
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    • pp.727-749
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    • 2015
  • We obtain the conditions on ${\beta}$ so that $1+{\beta}zp^{\prime}(z){\prec}1+4z/3+2z^2/3$ implies p(z) ${\prec}$ (2+z)/(2-z), $1+(1-{\alpha})z$, $(1+(1-2{\alpha})z)/(1-z)$, ($0{\leq}{\alpha}$<1), exp(z) or ${\sqrt{1+z}}$. Similar results are obtained by considering the expressions $1+{\beta}zp^{\prime}(z)/p(z)$, $1+{\beta}zp^{\prime}(z)/p^2(z)$ and $p(z)+{\beta}zp^{\prime}(z)/p(z)$. These results are applied to obtain sufficient conditions for normalized analytic function f to belong to various subclasses of starlike functions, or to satisfy the condition ${\mid}log(zf^{\prime}(z)/f(z)){\mid}$ < 1 or ${\mid}(zf^{\prime}(z)/f(z))^2-1{\mid}$ < 1 or zf'(z)/f(z) lying in the region bounded by the cardioid $(9x^2+9y^2-18x+5)^2-16(9x^2+9y^2-6x+1)=0$.

Geographical variations in the seed germination response and the seedling growth of hemistepta lyrata bunge by distrbution areas (分布地域에 따른 지침개 ( Hemistepta lyrata Bunge ) 個體群의 發芽 習性 및 幼植物 生長의 地理的 變異)

  • Lee, Ho-Joon;So-Hyun Park;Eun-Boo Cho
    • The Korean Journal of Ecology
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    • v.16 no.1
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    • pp.39-50
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    • 1993
  • The geographical variation of the germination response and the seedling growth of the seed populations of hemistepta lyrata bunge distributed in the southern area of korean peninsula (seoul, yongwol, andong, $Ch^{\prime}angwon, \;Sunch^{\prime}on$)was investigated. Five populations were divided into two principal groups according to the phases of their seed germination. The first group consisting of the seoul and yongwol population was 62% and 64%, respectively, in the final germination percentage of 32%, 24% and 28%, respectively, were Andong, $Ch^{\prime}angwon\;and\;Sunch^{\prime}on$ populations. The seed populations of hemistepta lyrata bunge which hardly germination. the germination of seoul and yongwol populations located at the higher latitudes took plase synchronously in early autumn. On the other hand, andong, $Ch^{\prime}angwon\;and\;Sunch^{\prime}on$ populations located at the lower latitudes showed a tendency to germinata asynchronously in late autumn. the speed of the seedling growth of the populations located at the higher latitudes was greater than that of the populations at the lower latitudes. Therefore the geographical variation in the germination response and the seedling growth of the seed populations of hemistepta lyrate bunge appeared to be an important ecological strategy to maintain their existence in the extreme environmental variations.

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ON SEMILOCAL CONVERGENCE OF A MULTIPOINT THIRD ORDER METHOD WITH R-ORDER (2 + p) UNDER A MILD DIFFERENTIABILITY CONDITION

  • Parida, P.K.;Gupta, D.K.;Parhi, S.K.
    • Journal of applied mathematics & informatics
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    • v.31 no.3_4
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    • pp.399-416
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    • 2013
  • The semilocal convergence of a third order iterative method used for solving nonlinear operator equations in Banach spaces is established by using recurrence relations under the assumption that the second Fr´echet derivative of the involved operator satisfies the ${\omega}$-continuity condition given by $||F^{\prime\prime}(x)-F^{\prime\prime}(y)||{\leq}{\omega}(||x-y||)$, $x,y{\in}{\Omega}$, where, ${\omega}(x)$ is a nondecreasing continuous real function for x > 0, such that ${\omega}(0){\geq}0$. This condition is milder than the usual Lipschitz/H$\ddot{o}$lder continuity condition on $F^{\prime\prime}$. A family of recurrence relations based on two constants depending on the involved operator is derived. An existence-uniqueness theorem is established to show that the R-order convergence of the method is (2+$p$), where $p{\in}(0,1]$. A priori error bounds for the method are also derived. Two numerical examples are worked out to demonstrate the efficacy of our approach and comparisons are elucidated with a known result.

Differences in Artificial Nest Boxes Use of Tits Between Deciduous and Coniferous Forests

  • Rhim, Shin-Jae;Lee, Ju-Young
    • Journal of Korean Society of Forest Science
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    • v.94 no.5 s.162
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    • pp.338-341
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    • 2005
  • This study was conducted to describe the differences in artificial nest boxes use of tits between deciduous and coniferous forests at 2nd campus of Chung-Ang University ($37^{\circ}00^{\prime}04^{{\prime}{\prime}}N$, $127^{\circ}13^{\prime}96^{{\prime}{\prime}}E$), Ansung, Korea from January to August 2005. Tree species richness, tree species diversity index (H') and total basal areas were higher in deciduous forest than in coniferous forest. High, middle, low and understory canopy layers were more developed in deciduous forest, except the coverage of bush-ground layer. Varied tit Parus varius, marsh tit P. palustris and great tit P. major used the artificial nest boxes in this study. Number of breeding pairs of tits used artificial nest boxes, clutch size, and weight and size of eggs were higher in deciduous forest than in coniferous forest. The differences in habitat structure between study sites are very likely to have influenced how breeding birds used the available habitat. Artificial nest boxes could be used as management and conservation tool for birds, particularly in areas, where the availability of natural cavities and coverage of higher layer are limited.

A Study of the Relationships among RMR, Q-system and GSI Applied to Classify Rock Mass of Limestone Mine (석회석 광산의 암반 분류에 적용된 RMR, Q-system, GSI 간의 상관성 연구)

  • Yoon, Yong-Kyun;Lee, Hong-Woo
    • Explosives and Blasting
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    • v.35 no.4
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    • pp.27-35
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    • 2017
  • A total of 22 sites around openings of limestone mine are chosen to assess rock mass classification schemes such as RMR, Q-system, and GSI. RMR and Q are modified to estimate the relationship with GSI. Q' is the modified Q with SRF=1.0 and $J_w=1.0$. Rock mass is assumed to be completely dry and very favorable discontinuity orientations are assumed to estimate ${RMR_{89}}^{\prime}$. Relationships of Q-Basic RMR, Q-Total RMR, ${GSI-RMR_{89}}^{\prime}$, and GSI-Q' are analyzed, in which a correlation of ${GSI-RMR_{89}}^{\prime}$ is found to be the highest. Failure strains are calculated using the modulus ratios and most measuring sites appear to be stable with low failure strain class.

Estimation of Energetic and Charge Transfer Properties of Iridium(III) Bis(2-phenylpyridinato-N,C2')acetylacetonate by Electrochemical Methods

  • Cha, Joeun;Ko, Eun-Song;Shin, Ik-Soo
    • Journal of Electrochemical Science and Technology
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    • v.8 no.2
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    • pp.96-100
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    • 2017
  • Iridium(III) bis(2-phenylpyridinato-$N,C^{2^{\prime}}$)acetylacetonate ($(ppy)_2Ir(acac)$), a green dopant used in organic light-emitting devices (OLEDs), was subjected to electrochemical characterization to estimate its formal oxidation potential ($E^{o^{\prime}}$), HOMO energy level ($E_{HOMO}$), electron transfer rate constant ($k^{o^{\prime}}$), and diffusion coefficient ($D_o$). The employed combination of voltammetric methods, i.e., cyclic voltammetry (CV), chronocoulometry (CC), and the Nicholson method, provided meaningful insights into the electron transfer kinetics of $(ppy)_2Ir(acac)$, allowing the determination of $k^{o^{\prime}}$ and $D_o$. The quasi-reversible oxidation of $(ppy)_2Ir(acac)$ furnished information on $E^{o^{\prime}}$ and $E_{HOMO}$, allowing the latter parameter to be easily estimated by electrochemical methods without relying on expensive and complex ultraviolet photoemission spectroscopic (UPS) measurements.

Characterization of the complete mitochondrial genome of Mauritian sardinella, Sardinella jussieu (Lacepède, 1803), collected in the Banten Bay, Indonesia

  • Sektiana, Sinar Pagi;Andriyono, Sapto;Kim, Hyun-Woo
    • Fisheries and Aquatic Sciences
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    • v.20 no.10
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    • pp.26.1-26.9
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    • 2017
  • Fishes in genus Sardinella are small pelagic species, which plays an important role in marine ecosystem as the first consumer. Those species are also commercially important, whose total catch reaches 278,600 tons in 2011 in Indonesia, but their identification has been difficult for their morphological similarity. In this study, we reported Sardinella jussieu for the first time in Indonesian coastal area (Banten Bay, Indonesia, $6^{\circ}\;0^{\prime}\;50.00^{{\prime}{\prime}}\;S-106^{\circ}\;10^{\prime}\;21.00^{{\prime}{\prime}}\;E$). We were able to confirm the species by both its morphological characteristics including the black spot at dorsal fin origin, the dusky pigmentation at caudal fin, 31 total scute numbers, and DNA sequence identity in the GenBank database by the molecular analysis. Its total mitochondrial genome was determined by the combination of next-generation sequencing and typical PCR strategy. The total mitochondrial genome of Sardinella jussieu (16,695 bp) encoded 13 proteins, 2 ribosomal RNAs, 22 transfer RNAs, and the putative control region. All protein-coding genes started with ATG and typical stop codon and ended with TAA or TAG except for ND4 in which AGA is used. Phylogenetic analyses of both COI region and full mitochondrial genome showed that S. jussieu is most closely related to Sardinella albella and Sardinella gibbosa