• Bulletin of the Korean Chemical Society
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• 제18권7호
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• pp.730-733
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• 1997

Monofluoroiron(Ⅲ) tetraphenylporphyrin, Fe(TPP)F, and difluoroiron(Ⅲ) tetraphenylporphyrin, [Fe(TPP)F2]- were generated in a various non-aqueous solvents by the reaction between Fe(TPP)Cl and tetrabutylammonium fluoride TBAF 3H2O. Formation of the these complexes was detected by the appearance of the ν(F-Fe) (ν, stretching vibration) at 506 cm-1 for Fe(TPP)F and the ν(F-Fe-F) at 448 cm-1 for [Fe(TPP)F2]-, simultaneously, with 441.6 nm excitation by Resonance Raman (RR) spectroscopy. These assignments were confirmed by observed frequency shifts due to 56Fe/54Fe and TPP/TPP-d8/TPP-N15 isotopic substitutions. Difluoroiron complex is an iron(Ⅲ) high-spin complex with the oxidation sensitive band at 1347 cm-1 for ν4 and core size/spin state sensitive band at 1541 cm-1 for ν2.

• 대한수학회지
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• 제56권5호
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• pp.1403-1418
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• 2019

Let R be a commutative ring with unity. If f(x) is a zero-divisor polynomial such that $f(x)=c_f f_1(x)$ with $c_f{\in}R$ and $f_1(x)$ is not zero-divisor, then $c_f$ is called an annihilating content for f(x). In this case $Ann(f)=Ann(c_f )$. We defined EM-rings to be rings with every zero-divisor polynomial having annihilating content. We showed that the class of EM-rings includes integral domains, principal ideal rings, and PP-rings, while it is included in Armendariz rings, and rings having a.c. condition. Some properties of EM-rings are studied and the zero-divisor graphs ${\Gamma}(R)$ and ${\Gamma}(R[x])$ are related if R was an EM-ring. Some properties of annihilating contents for polynomials are extended to formal power series rings.

• 대한수학회논문집
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• 제37권1호
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• pp.125-136
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• 2022

For k = 1, 2, let $f_k=h_k+{\bar{g_k}}$ be normalized harmonic right half-plane or vertical strip mappings. We consider the convex combination ${\hat{f}}={\eta}f_1+(1-{\eta})f_2={\eta}h_1+(1-{\eta})h_2+{\overline{\bar{\eta}g_1+(1-\bar{\eta})g_2}}$ and the combination ${\tilde{f}}={\eta}h_1+(1-{\eta})h_2+{\overline{{\eta}g_1+(1-{\eta})g_2}}$. For real 𝜂, the two mappings ${\hat{f}}$ and ${\tilde{f}}$ are the same. We investigate the univalence and directional convexity of ${\hat{f}}$ and ${\tilde{f}}$ for 𝜂 ∈ ℂ. Some sufficient conditions are found for convexity of the combination ${\tilde{f}}$.

• Kyungpook Mathematical Journal
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• 제61권4호
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• pp.791-803
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• 2021

Earlier investigators have made detailed studies of geometric properties such as integrability, partial integrability, and invariants, such as the fundamental 2-form, of some canonical f-structures, such as f³ ± f = 0, on the frame bundle FM. Our aim is to study metallic structures on the frame bundle: polynomial structures of degree 2 satisfying F² = pF +qI where p, q are positive integers. We introduce a tensor field F_α, α = 1, 2…, n on FM show that it is a metallic structure. Theorems on Nijenhuis tensor and integrability of metallic structure F_α on FM are also proved. Furthermore, the diagonal lifts g^D and the fundamental 2-form Ω_α of a metallic structure F_α on FM are established. Moreover, the integrability condition for horizontal lift F_α^H of a metallic structure F_α on FM is determined as an application. Finally, the golden structure that is a particular case of a metallic structure on FM is discussed as an example.

• Korean Journal of Mathematics
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• 제29권4호
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• pp.733-740
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• 2021

Let (F_n)_n≥0 be the Fibonacci sequence and p be a prime number. For 1≤k≤m, the Fibonomial coefficient is defined as $$\[\array{m\\k}\]_F=\frac{F_{m-k+1}{\ldots}{F_{m-1}F_m}}{{F_1}{\ldots}{F_k}}$$ and $\[\array{m\\k}\]_F=0$ whan k>m. Let a and n be positive integers. In this paper, we find the conditions of prime number p which divides Fibonomial coefficient $\[\array{P^{a+n}\\{p^a}}\]_F$. Furthermore, we also find the conditions of p when $\[\array{P^{a+n}\\{p^a}}\]_F$ is not divisible by p.

• Korean Journal of Mathematics
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• 제31권2호
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• pp.229-242
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• 2023

In this paper, we investigate the [p, q] - φ order and [p, q] - φ type of f₁ + f₁, ${\frac{f_1}{f_2}}$ and f₁ f₁, where f₁ and f₁ are analytic or meromorphic functions with the same [p, q]-φ order and different [p, q]-φ type in the unit disc. Also, we study the [p, q]-φ order and [p, q]-φ type of different f and its derivative. At the end, we investigate the relationship between two different [p, q] - φ convergence exponents of f. We extend some earlier precedent well known results.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권1호
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• pp.43-65
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• 2023

In this paper, by using the difference analogue of Nevanlinna's theory, the authors study the shared-value problem concerning two higher order difference operators of a transcendental entire function with finite order. The following conclusion is proved: Let f(z) be a finite order transcendental entire function such that λ(f - a(z)) < ρ(f), where a(z)(∈ S(f)) is an entire function and satisfies ρ(a(z)) < 1, and let 𝜂(∈ ℂ) be a constant such that ∆_𝜂ⁿ⁺¹ f(z) ≢ 0. If ∆_𝜂ⁿ⁺¹ f(z) and ∆_𝜂ⁿ f(z) share ∆_𝜂ⁿ a(z) CM, where ∆_𝜂ⁿ a(z) ∈ S ∆_𝜂ⁿ⁺¹ f(z), then f(z) has a specific expression f(z) = a(z) + Be^Az, where A and B are two non-zero constants and a(z) reduces to a constant.

• Asian Pacific Journal of Cancer Prevention
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• 제14권6호
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• pp.3647-3652
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• 2013

Purpose: To evaluate the diagnostic value of $^{18}F$-FDG PET/CT for detection of bone metastasis in comparison with the efficacies of $^{18}F$-FDG PET/CT, CT, $^{18}F$-FDG PET and conventional planar bone scintigraphy in a series of cancer patients. Methods: Five hundred and thirty patients who underwent both $^{18}F$-FDG PET/CT and bone scintigraphy within 1 month were retrospectively analyzed. The skeletal system was classified into 10 anatomic segments and interpreted blindly and separately. For each modality, the sensitivity, specificity, accuracy, PPV and NPV were calculated and the results were statistically analyzed. Results: Bone metastases were confirmed in 117 patients with 459 positive segments. On patient-based analysis, the sensitivity, specificity, accuracy, PPV and NPV of $^{18}F$-FDG PET/CT were significantly higher than bone scintigraphy, CT and $^{18}F$-FDG PET (P<0.05). On segment-based analysis, the sensitivity of CT, bone scintigraphy, $^{18}F$-FDG PET and $^{18}F$-FDG PET/CT were 70.4%, 89.5%, 89.1% and 97.8%, respectively (P<0.05, compared with $^{18}F$-FDG PET/CT). The overall specificity and accuracy of the four modalities were 89.1%, 91.8%, 90.3%, 98.2% and 90.3%, 90.9%, 89.8%, 98.0%, respectively (P<0.05, compared with $^{18}F$-FDG PET/CT). The PPV and NPV were 89.8%, 87.6%, 85.6%, 97.2% and 85.6%, 93.2%, 92.8%, 98.6%, respectively. Three hundred and twelve lesions or segments were presented as lytic or sclerotic changes on CT images at the corresponding sites of increased $^{18}F$-FDG uptake. In lytic or mixed lesions, the sensitivity of $^{18}F$-FDG PET/CT and $^{18}F$-FDG PET were better than bone scintigraphy, while in osteoblastic lesions bone scintigraphy had a similar performance with $^{18}F$-FDG PET/CT but better than $^{18}F$-FDG PET alone. Conclusion: Our data allow the conclusion that $^{18}F$-FDG PET/CT is superior to planar bone scintigraphy, CT or $^{18}F$-FDG PET in detecting bone metastasis. $^{18}F$-FDG PET/CT may enhance our diagnosis of tumor bone metastasis and provide more information for cancer treatment.

• 한국해안·해양공학회논문집
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• 제31권6호
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• pp.493-500
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• 2019

본 연구에서는 강원도 맹방해변을 대상으로 Delft3D 지형변화모듈 내의 표사이동 관련 매개변수(f_BED, f_BEDW, f_SUSW)가 지형변화 모의 결과에 미치는 영향을 검토하였다. 맹방해변 해역에서 2018년도에 관측한 1년 간의 파랑자료를 외력으로 적용하고, 동년도 1월과 10월에 관측한 수심자료는 각각 초기 지형자료와 년간 지형변화 자료로 사용하였다. 모델의 지형변화 모의성능은 계산영역 내의 임의의 한 단면을 연안역과 외해역 구간으로 구분하고, 각 영역에 대해 Brier Skill Score 지표에 근거하여 평가하였다. 그 결과 f_BED 변수가 지형변화 모의 결과에 미치는 영향은 미약하다는 것을 알 수 있었다. f_BEDW와 f_SUSW 변수는 그 값이 0.5 이하일 때는 연안역에 대해 좋은 모의 성능을 보이고, 반대의 경우에는 외해역에 대해 좋은 성능을 보이는 것으로 나타났다. 실험조건 중 연안역에 대해 가장 좋은 성능을 보인 변수 조합은 f_BED = 1.0, f_BEDW = 1.0, f_SUSW = 0.1이고, 외해역에 대해서는 f_BED = 1.0, f_BEDW = 1.0, f_SUSW = 0.5이었다. 그러나, 이 조합은 맹방해변 2018년도 자료에 근거하여 산출된 값이므로, 타해역에 적용할 때는 주의가 필요할 것으로 판단된다.

• 한국가금학회지
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• 제19권4호
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• pp.187-195
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• 1992

본 연구는 난용종 순종계의 특정 집단의 주요 경제형질에 대한 단기 산란검정기록을 이용하여 유전적 개량량을 추정하기 위해 수행하였다. 통계분석에 이용된 자료는 단관 백색 레그혼종 F, K 계통에 대한 1986년부터 1991년까지 6세대간 선발결과의 기록으로서 주요 선발형질은 270일령 산란수, 시산일령, 270일령 난중 및 체중으로 분석한 결과는 다음과 같다. 1. 각 계통별 평균능력을 보면 시산일령은 매 세대당 1.94일(K) 1.32일(F)씩 감소되었고 체중은 15.39(K), 16.5g(F)씩 감소되었다. 난중은 0.09(K), -0.05g(F)씩 증가되었고 산란수는 0.56(K), -0.78(F)의 증가를 보였다. 2. 조사형질 모두의 예상 선발차에 대한 실현 선발차의 비율이 세대경과에 따라 유의하게 감소되지 않았다. 3. 분산성분에 의한 유전모수는 시산일령이 평균 0.28(F), 0.40(K), 270일령 체중이 0.29(F), 0.39(K), 산란수 (270일)가 0.25(F), 0.29(K), 270일령 난중이 0.51(F), 0.48(K)으로 추정되었다. 4. 세대당 유전적 개량은 F, K 계통 모두 일정한 경향치를 보이지 않았고 시산일령이 -2.46(F), -1.94(K), 산란수 2.01(F), 2.25(K), 270일령 난중이 0.54(F), 0.64(K)으로 추정되었다.