• Kyungpook Mathematical Journal
• /
• 제64권1호
• /
• pp.15-30
• /
• 2024

In this paper, we focus on partial isometry elements and strongly EP elements on a ring. We construct characterizing equations such that an element which is both group invertible and MP-invertible, is a partial isometry element, or is strongly EP, exactly when these equations have a solution in a given set. In particular, an element a ∈ R^# ∩ R^† is a partial isometry element if and only if the equation x = x(a^†)^*a^† has at least one solution in {a, a#, a^†, a^*, (a^#)^*, (a^†)^*}. An element a ∈ R^#∩R^† is a strongly EP element if and only if the equation (a^†)^*xa^† = xa^†a has at least one solution in {a, a^#, a^†, a^*, (a^#)^*, (a^†)^*}. These characterizations extend many well-known results.

• Nuclear Engineering and Technology
• /
• 제55권9호
• /
• pp.3352-3358
• /
• 2023

Nuclear medicine seems to be a decent choice of medicine in the recent decade. The radioactive isotopes ⁵¹Cr, ⁸⁹Sr, ⁹⁹Tc, ¹³¹I, ¹³³Xe, ¹³⁷Cs and ¹⁵³Sm are extremely essential in nuclear medicine. The excitation functions of the ⁵⁴Fe (n, α) ⁵¹Cr, ⁹²Zr (n, α) ⁸⁹Sr, ¹⁰²Rh (n, α) ⁹⁹Tc, 134Cs (n, α) ¹³¹I, ¹³⁶Ba (n, α) ¹³³Xe, ¹⁴⁰La (n, α) ¹³⁷Cs and ¹⁵⁶Gd (n, α) ¹⁵³Sm reactions were calculated in this study using the EMPIRE 3.2.3 and TALYS 1.95 nuclear codes. Additionally, the cross sections at 14-15 MeV were calculated using empirical formulae and the experimental data. The computer codes were compared to the experimental data and Empirical formulas as well as the evaluated data (TENDL 2021, JENDL 3.3, JENDL 5, JEFF 3.3, EAF 2010, CENDL 3.1, CENDL 3.2, ROSFOND 2010, FENDL 3.2 b, and BROND 3.1).

• Journal of Applied and Pure Mathematics
• /
• 제4권3_4호
• /
• pp.99-105
• /
• 2022

The objective of this research paper is to prove that an additive mapping T from a semiprime ring R to itself will be centralizer having a suitable torsion restriction on R if it satisfy any one of the following algebraic equations (a) 2T(xⁿyⁿxⁿ) = T(xⁿ)yⁿxⁿ + xⁿyⁿT(xⁿ) (b) 3T(xⁿyⁿxⁿ) = T(xⁿ)yⁿxⁿ+xⁿT(yⁿ)xⁿ+xⁿyⁿT(xⁿ) for every x, y ∈ R. Further, few extensions of these results are also presented in the framework of *-ring.

• 광물과 암석
• /
• 제36권3호
• /
• pp.185-197
• /
• 2023

구봉 금-은 광상은 선캠브리아기의 변성퇴적암류내에 발달된 열극대를 충진한 8개조의 석영맥으로 구성된 조산형과 intrusion-related형이 혼합된 광상으로 과거 한국에서 가장 큰 금-은 광상들 중의 하나였다. 대한광업진흥공사는 이 광상의 남부에서 시추(90-12)를 통한 심도 -728 ML에서 27.9 g/t Au 품위를 갖는 0.9 m 폭을 갖는 석영맥(6호맥)을 착맥하였으며 2004년 재차 6호맥의 재개발 가능성 검토를 위해 시추(04-1)를 수행하였다. 2004년 시추 현장에서 모암, 모암변질 및 석영맥 시료들(04-1)을 채취하여 함 티타늄 광물들(티탄철석, 금홍석)의 산상과 화학조성을 연구하였다. 심도 -275 ML의 광화대에서 관찰되는 금홍석은 모암변질대에서 칼리장석, 흑운모, 석영, 방해석, 녹니석 및 황철석과 함께 산출된다. 심도 -779 ML의 광맥(6호맥)에서 관찰되는 티탄철석과 금홍석은 모암변질대와 석영맥에서 백색운모, 녹니석, 인회석, 저어콘, 석영, 방해석, 자류철석 및 황철석과 함께 산출된다. 이들 광물조합을 토대로, 금홍석은 열수 용액에 의한 모암내 Ti을 풍부하게 함유한 흑운모의 열수변질작용(녹니석화작용) 시 형성된 것으로 생각된다. 티탄철석은 최대 0.09 wt.% (HfO₂), 0.39 wt.% (V₂O₃), 0.54 wt.% (BaO) 함량이 함유되어 있다. 심도 -275 ML과 -779 ML에서 산출되는 금홍석의 화학조성을 비교하면, 심도 -779 ML의 광맥(6호맥)의 금홍석에서 WO₃, FeO 및 BaO 원소들의 함량이 높다. 이들 미량원소들은 심도 -275 ML의 금홍석 Ba²⁺ + Al³⁺ + Hf⁴⁺ + (Nb⁵+, Ta⁵⁺) ↔ 3Ti⁴⁺ + Fe²⁺, 2V⁴⁺ + (W⁵⁺, Ta⁵⁺, Nb⁵⁺) ↔ 2Ti⁴⁺ + Al³⁺ + (Fe²⁺, Ba²⁺), Al³⁺ + V⁴⁺ + (Nb⁵⁺, Ta⁵⁺) ↔ 2Ti⁴⁺ + 2Fe²⁺, 심도 -779 ML의 금홍석 2(Fe²⁺, Ba²⁺) + Al³⁺ + (W⁵⁺, Nb⁵⁺, Ta⁵⁺) ↔ 2Ti⁴⁺ + (V⁴⁺, Hf⁴⁺), Fe²⁺ + Al³⁺ + Hf⁴⁺ + (W⁵⁺, Nb⁵⁺, Ta⁵⁺) ↔ 2Ti⁴⁺ + V⁴⁺ + Ba²⁺로써 치환관계가 있었다. 이들 자료와 기 연구된 조산형 금 광상에서 산출되는 함 티타늄 광물들의 화학조성과 비교 검토 본 결과, 구봉 광상의 금홍석들은 다른 조산형 금 광상(운산 광상, Kori Kollo 광상, Big Bell 광상, Meguma 함 금 석영맥)들에서 산출되는 금홍석들보다 상대적으로 산화 환경에서 형성되었음을 알 수 있다.

• Nuclear Engineering and Technology
• /
• 제55권1호
• /
• pp.304-309
• /
• 2023

In the last decade, nuclear medicine appears to be a good choice of medicine. ⁵⁸Co, ⁹⁹Mo, ⁹⁹Tc, ⁹⁹Re, ¹³³Xe and ¹⁸⁶Re are very important radionuclides for nuclear medicine. In this study, the excitation functions of ⁵⁸Ni (n, p) ⁵⁸Co, ⁹⁹Tc (n, p) ⁹⁹Mo, ⁹⁹Ru (n, p) ⁹⁹Tc, ¹³¹Xe (n, p) ¹³¹I, ¹³³Cs (n, p) ¹³³Xe and ¹⁸⁶Os (n, p) ¹⁸⁶Re nuclear reactions were calculated at neutron energies between 1 and 20 MeV using TALYS 1.95 and EMPIRE 3.2 nuclear codes. Furthermore, the cross sections were calculated with the empirical formula derived in our past study at 14-15 MeV. The obtained results were compared with the measured values in EXFOR library, and with the evaluated data of (JENDL-4.0/HE, JEFF-3.3, TENDL-2019, ENDF/B-VIII.0, IRDFF-II, JENDL/ImPACT-18). The results are in good agreement with those of the evaluated data libraries and experimental results and indicates that these radioisotopes can be produced by smaller cyclotrons.

• The Korean Journal of Physiology and Pharmacology
• /
• 제24권6호
• /
• pp.555-561
• /
• 2020

TWIK-related two-pore domain K⁺ channel-2 (TREK-2) has voltage-independent activity and shows additional activation by acidic intracellular pH (pH_i) via neutralizing the E³³² in the cytoplasmic C terminal (Ct). We reported opposite regulations of TREK-2 by phosphatidylinositol 4,5-bisphosphate (PIP₂) via the alkaline K³³⁰ and triple Arg residues (R^355-357); inhibition and activation, respectively. The G³³⁴ between them appeared critical because its mutation (G³³⁴A) endowed hTREK-2 with tonic activity, similar to the mutation of the inhibitory K³³⁰ (K³³⁰A). To further elucidate the role of putative bent conformation at G³³⁴, we compared the dual mutation forms, K³³⁰A/G³³⁴A and G³³⁴A/R^355-7A, showing higher and lower basal activity, respectively. The results suggested that the tonic activity of G³³⁴A owes to a dominant influence from R^355-7. Since there are additional triple Arg residues (R^377-9) distal to R^355-7, we also examined the triple mutant (G³³⁴A/R^355-7A/R^377-9A) that showed tonic inhibition same with G³³⁴A/R^355-7A. Despite the state of tonic inhibition, the activation by acidic pH_i was preserved in both G³³⁴A/R^355-7A and G³³⁴A/R^355-7A/R^377-9A, similar to the R^355-7A. Also, the inhibitory effect of ATP could be commonly demonstrated under the activation by acidic pH_i in R^355-7A, G³³⁴A/R^355-7A, and G³³⁴A/R^355-7A/R^377-9A. These results suggest that the putative bent conformation at G³³⁴ is important to set the tug-of-war between K³³⁰ and R^355-7 in the PIP₂-dependent regulation of TREK-2.

• 광물과 암석
• /
• 제33권3호
• /
• pp.195-214
• /
• 2020

삼광 금-은 광상은 과거 한국에서 가장 큰 금-은 광상들 중의 하나였다. 이 광상은 선캠브리아기의 변성퇴적암류내에 발달된 열극대를 충진한 8개조의 석영맥으로 구성된 조산형 금-은 광상이다. 이 광상에서 함 티타늄 광물로는 설석, 티탄철석 및 금홍석이며 설석과 티탄철석은 모암에서만 산출되나 금홍석은 모암과 엽리상 석영맥에서 산출된다. 이들 광물들은 모암에선 흑운모, 백운모, 녹니석, 백색운모, 모나자이트, 저어콘 및 인회석과 엽리상 석영맥에선 백색운모, 녹니석 및 유비철석 등과 함께 산출된다. 설석은 최대 3.94 wt.% (Al₂O₃), 0.49 wt.% (FeO), 0.52 wt.% (Nb₂O₅), 0.46 wt.% (Y₂O₃) 및 0.43 wt.% (V₂O₅) 값을 갖는다. 이 설석은 0.06~0.14 (Fe/Al 비) 값으로 변성기원의 설석이고 X_Al (=Al/Al+Fe³⁺+Ti) 값이 0.06~0.15 값으로 저 함량 알루미늄 설석에 해당된다. 티탄철석은 최대 0.07 wt.% (ZrO₂), 0.12 wt.% (HfO₂), 0.26 wt.% (Nb₂O₅), 0.04 wt.% (Sb₂O₅), 0.13 wt.% (Ta₂O₅), 2.62 wt.% (As₂O₅), 0.29 wt.% (V₂O₅), 0.12 wt.% (Al₂O₃), 1.59 wt.% (ZnO)로써 As₂O₅ 함량이 높게 산출된다. 금홍석의 화학조성은 모암과 엽리상 석영맥에서 각각 최대 0.35 wt.%, 0.65 wt.% (HfO₂), 2.52 wt.%, 0.19 wt.% (WO₃), 1.28 wt.%, 1.71 wt.% (Nb₂O₃), 0.03 wt.%, 0.07 wt.% (Sb₂O₃), 0.28 wt.%, 0.21 wt.% (As₂O₅), 0.68 wt.%, 0.70 wt.% (V₂O₃), 0.48 wt.%, 0.59 wt.% (Cr₂O₃), 0.70 wt.%, 1.90 wt.% (Al₂O₃), 4.76 wt.%, 3.17 wt.% (FeO)로써 엽리상 석영맥의 금홍석에서 HfO₂, Nb₂O₃, As₂O₅, Cr₂O₃, Al₂O₃ 및 FeO 원소들의 함량이 모암의 금홍석보다 높지만 WO₃ 원소의 함량은 낮다. 이 미량원소들은 모암의 금홍석[(Fe³⁺, Al³⁺, Cr³⁺) + Hf⁴⁺+(W⁵⁺, As⁵⁺, Nb⁵⁺) ⟵⟶; 2Ti⁴⁺+ V⁴⁺, 2Fe²⁺+(Al³⁺, Cr³⁺) + Hf⁴⁺+(W⁵⁺, As⁵⁺, Nb⁵⁺) ⟵⟶ 2Ti⁴⁺+2V⁴⁺], 엽리상 석영맥의 금홍석 [(Fe³⁺, Al³⁺) + As⁵⁺ ⟵⟶ Ti⁴⁺+ V⁴⁺, (Fe³⁺, Al³⁺) + As⁵⁺ ⟵⟶ Ti⁴⁺+Hf⁴⁺, 4(Fe³⁺, Al³⁺) ⟵⟶ Ti⁴⁺+(W⁵⁺, Nb⁵⁺) + Cr³⁺]로써 치환관계가 있었다. 이들 자료를 근거로, 모암내 산출되는 설석, 티탄철석 및 금홍석은 광역변성작용 동안 모암광물들의 변질 시 광물내 존재했던 W⁵⁺, Nb⁵⁺, As⁵⁺, Hf⁴⁺, V⁴⁺, Cr³⁺, Al³⁺, Fe³⁺, Fe²⁺ 등과 같은 양이온들의 재 용해 및 농집에 의해 형성되었다. 그후 계속된 연성전단 시 엽리상 석영맥내 금홍석은 열수 용액의 유입에 따른 백색운모와 녹니석의 모암변질작용에 의한 양이온들의 재 용해 및 재 농집과 더불어 초기에 형성된 설석, 티탄철석 및 금홍석과의 반응에 의해 기존에 이들 광물내에 존재하였던 Nb⁵⁺, As⁵⁺, Hf⁴⁺, Cr³⁺, Al³⁺, Fe³⁺, Fe²⁺과 같은 양이온들의 재농집에 의해 형성된 것으로 생각된다.

• 식품보건융합연구
• /
• 제6권1호
• /
• pp.9-15
• /
• 2020

Salinity with sodic condition disturbs germination, retards emergence, and slow down seedling development of Lemon Grass (Cymbopogon citratus).Lemongrass is a perennial grass plant widely distributed worldwide and most especially in tropical and subtropical countries. This research experiment was designed to evaluate the influences of (4 dSm^-1+ 13.5 (mmol L^-1)^-1/2, 5 dSm^-1+ 25 (mmol L^-1)^1/2, 5 dSm^-1+ 30 (mmol L^-1)^1/2, 10 dSm^-1+ 25 (mmol L^-1)^1/2 and 10 dSm^-1+ 30 (mmol L^-1)^1/2) on biomass produce of lemon grass against salt tolerance. The uppermost biomass yield (45.53 gpot^-1) was produced by 4 dSm^-1+ 13.5 (mmol L^-1)^1/2 treatment. The increase in the intensity of salts reduced the growth of lemon grass. Lower biomass yield (79.33 gpot^-1) was gained at 10 dSm^-1+ 30 (mmol L^-1)^1/2. 5 dSm^-1+ 25 (mmol L^-1)^1/2 treatment performed enhanced outcome i.e. the least reduction % over control (5.87). Salinity- sodicity showed serious effect on the growth reduction from 5.87% to33.60%. This reduction gap was affected by the negative effect of salinity and sodicity on Linseed growth. Salinity- sodicity showed severe impact on the growth reduction from 5.87% to33.60%. Based on the findings, lemon Grass (Cymbopogon citratus).was capable to grow up the maximum at 4 dSm^-1+ 13.5 (mmol L^-1)^1/2 treatment.

• 대한수학회지
• /
• 제60권1호
• /
• pp.213-225
• /
• 2023

For every n ≥ 2, let ℝⁿ_‖·‖ be Rn with a norm ‖·‖ such that its unit ball has finitely many extreme points more than 2n. We devote to the description of the sets of extreme and exposed points of the closed unit balls of 𝓛(²ℝⁿ_‖·‖) and 𝓛_𝒮(²ℝⁿ_‖·‖), where 𝓛(²ℝⁿ_‖·‖) is the space of bilinear forms on ℝⁿ_‖·‖, and 𝓛_𝒮(²ℝⁿ_‖·‖) is the subspace of 𝓛(²ℝⁿ_‖·‖) consisting of symmetric bilinear forms. Let 𝓕 = 𝓛(²ℝⁿ_‖·‖) or 𝓛_𝒮(²ℝⁿ_‖·‖). First we classify the extreme and exposed points of the closed unit ball of 𝓕. We also show that every extreme point of the closed unit ball of 𝓕 is exposed. It is shown that ext B_{𝓛𝒮(²ℝⁿ‖·‖)} = ext B_{𝓛(²ℝⁿ‖·‖)} ∩ 𝓛_𝒮(²ℝⁿ_‖·‖) and exp B_{𝓛𝒮(²ℝⁿ‖·‖)} = exp B_{𝓛(²ℝⁿ‖·‖)} ∩ 𝓛_𝒮(²ℝⁿ_‖·‖), which expand some results of [18, 23, 28, 29, 35, 38, 40, 41, 43].

• East Asian mathematical journal
• /
• 제40권3호
• /
• pp.329-339
• /
• 2024

In the work we generate arithmetic matrix P^(c,b,a) of (cx² + bx+a)ⁿ from a Pascal matrix P^(1,1). We extend an identity P^(1,1))O^(1,1) = P^(1,1,1) with an obtuse matrix O^(1,1) to k degree polynomials. For the purpose we study P^(1,1)kO^(1,1) and find generating polynomials of O^(1,1)k.