• Journal of Applied and Pure Mathematics
• /
• v.4 no.1_2
• /
• pp.51-61
• /
• 2022

Let G be a graph. Let f : V (G) → {0, 1, 2, …, k-1} be a map where k ∈ ℕ and k > 1. For each edge uv, assign the label |f(u) - f(v)|. f is called k-total difference cordial labeling of G if |t_df (i) - t_df (j) | ≤ 1, i, j ∈ {0, 1, 2, …, k - 1} where t_df (x) denotes the total number of vertices and the edges labeled with x. A graph with admits a k-total difference cordial labeling is called k-total difference cordial graphs. In this paper we investigate the 4-total difference cordial labeling behaviour of shell butterfly graph, Lilly graph, Shackle graphs etc..

• Journal of the Chungcheong Mathematical Society
• /
• v.22 no.1
• /
• pp.17-23
• /
• 2009

Let F be a finite real abelian extension of a global function field k with G = Gal(F/k). Assume that F is an extension field of the Hilbert class field $K_e$ of k and is contained in a cyclotomic function field $K_n$. Let $\ell$ be any prime number not dividing $ph_k{\mid}G{\mid}$. In this paper, we show that if $\theta{\in}\mathbb{Z}[G]$ annihilates the Sylow $\ell$-subgroup of ${\mathcal{O}}^{\times}_F/{\mathcal{C}}_F$, then (q-1)$\theta$ annihilates the Sylow $\ell$-subgroup of ${\mathcal{Cl}}_F$.

• Journal of the Korean Chemical Society
• /
• v.63 no.6
• /
• pp.453-458
• /
• 2019

Synthesis of ZnCo₂O₃ oxide is performed by sol-gel method via nitrate-citrate route. Powder X-ray diffraction (XRD) study shows monoclinic unit cell having lattice parameters: a = 5.721(1) Å, b = 8.073(2) Å, c = 5.670(1) Å, β = 93.221(8)°, space group P_2/m and Z = 4. Average crystallite sizes determined by Scherrer equation are the range ~14-32 nm, whereas SEM micrographs show nano-micro meter size particles formed in ZnCo₂O₃. Endothermic peak at ~798 K in the Differential scanning calorimetric (DSC) trace without weight loss could be due to structural transformation and the endothermic peak ~1143 K with weight loss is due to reversible loss of O₂ in air atmosphere. Energy Dispersive X-ray (EDX) analysis profile shows the presence of elements Zn, Co and O which indicates the purity of the sample. Magnetic measurements in the range of +12 kOe to -12 kOe at 10 K, 77 K, 120 K and at 300 K by PPMS-II Physical Property Measurement System (PPMS) shows hysteresis loops having very low values of the coercivity and retentivity which indicates the weakly ferromagnetic nature of the oxide. Observed X-band EPR isotropic lineshapes at 300 K and 77 K show positive g-shift at g_iso ~2.230 and g_iso ~2.217, respectively which is in agreement with the presence of paramagnetic site Co²⁺(3d⁷) in the oxide. DC conductivity value of 2.875 ×10^-8 S/cm indicates very weakly semiconducting nature of ZnCo₂O₃ at 300 K. DRS absorption bands ~357 nm, ~572 nm, ~619 nm and ~654 nm are due to the d-d transitions ⁴T_1g(⁴F)→²E_g(²G), ⁴T_1g(⁴F)→⁴T_1g(⁴P), ⁴T_1g(⁴F)→⁴A_2g(⁴F), ⁴T_1g(⁴F)→⁴T_2g(⁴F), respectively in octahedral ligand field around Co²⁺ ions. Direct band gap energy, E_g~ 1.5 eV in the oxide is obtained by extrapolating the linear part of the Tauc plot to the energy axis indicates fairly strong semiconducting nature of ZnCo₂O₃.

• Journal of the Chungcheong Mathematical Society
• /
• v.35 no.4
• /
• pp.315-327
• /
• 2022

In this paper, we investigate the transferred superstability for the p-radical sine functional equation $$f\(\sqrt[p]{\frac{x^p+y^p}{2}}\)^2-f\(\sqrt[p]{\frac{x^p-y^p}{2}}\)^2=f(x)f(y)$$ from the p-radical functional equations: $$f({\sqrt[p]{x^p+y^p}})+f({\sqrt[p]{x^p-y^p}})={\lambda}g(x)g(y),\;\\f({\sqrt[p]{x^p+y^p}})+f({\sqrt[p]{x^p-y^p}})={\lambda}g(x)h(y),$$ where p is an odd positive integer, λ is a positive real number, and f is a complex valued function. Furthermore, the results are extended to Banach algebras. Therefore, the obtained result will be forced to the pre-results(p=1) for this type's equations, and will serve as a sample to apply it to the extension of the other known equations.

• The Korean Journal of Mycology
• /
• v.15 no.1
• /
• pp.1-8
• /
• 1987

The purpose of this experiment is to examine if G. lucidum extracts could have an effect on leukocyte migration and to select the best chemotactic factor for leukocyte migration. When chemotactic factors such as TC-199 medium, filtrate of E. coli culture, N-fMLP, and G. lucidum extracts were used, N-fMLP, G. lucidum extracts and filtrate of E. coli were positive effect, but TC-199 medium was less than others. The various concentrations of the chemotactic factors such as G. lucidum extracts(1.00%, 0.10% and 0.01%) were stimulated for the leukocytes migration in the modified Boyden chambers, however, the lowest concentration such as 0.01% was more effective than others for the chemoattractant of the leukocyte migration When the leukocyte was treated with G. lucidum extracts(1.00%, 0.10%, and 0.01%) at room temperature for 120 minutes, the chemotactic activities had a good effect at 0.01%. Therefore, leukocyte was affected by G. lucidum extracts.

• Journal of Microbiology and Biotechnology
• /
• v.34 no.6
• /
• pp.1249-1259
• /
• 2024

It remains to be determined whether there is a geographical distribution pattern and phylogenetic signals for the Mycena strains with seed germination of the orchid plant Gastrodia elata. This study analyzed the community composition and phylogenetics of 72 Mycena strains associated with G. elata varieties (G. elata. f. glauca and G. elata. f. viridis) using multiple gene fragments (ITS+nLSU+SSU). We found that (1) these diverse Mycena phylogenetically belong to the Basidiospore amyloid group. (2) There is a phylogenetic signal of Mycena for germination of G. elata. Those strains phylogenetically close to M. abramsii, M. polygramma, and an unclassified Mycena had significantly higher germination rates than those to M. citrinomarginata. (3) The Mycena distribution depends on geographic site and G. elata variety. Both unclassified Mycena group 1 and the M. abramsii group were dominant for the two varieties of G. elata; in contrast, the M. citrinomarginata group was dominant in G. elata f. glauca but absent in G. elata f. viridis. Our results indicate that the community composition of numerous Mycena resources in the Zhaotong area varies by geographical location and G. elata variety. Importantly, our results also indicate that Mycena's phylogenetic status is correlated with its germination rate.

• Applied Biological Chemistry
• /
• v.15 no.3
• /
• pp.181-186
• /
• 1972

Wheat coleoptile sections were treated with either $1.5{\times}10^{-5}M$ ABA or $5×10^{-5}M$ IAA in vitro, the results may be summarized as follows, 1. The treatmert of IAA decreased the level of high molecular weight RNA F2 and F3 but that with ABA increased the F4 level. 2. IAA caused an increased activity of G2 isozyme, while ABA suppressed the activity of G3 isozyme. 3. The results may suggest that there may exist common effects of IAA and ABA on RNA and RNase. 4. The latent RNase activity caused by SH blocking reagent (p-hydroxymercury benzoate, Pb et al) was not observed.

• Kyungpook Mathematical Journal
• /
• v.59 no.3
• /
• pp.515-523
• /
• 2019

Consider a graph G of order n and maximum degree ${\Delta}$. Let $f:V(G){\rightarrow}\{0,1,{\cdots},{\lceil}{\frac{{\Delta}}{2}}{\rceil}+1\}$ be a function that labels the vertices of G. Let $B_0=\{v{\in}V(G):f(v)=0\}$. The function f is a strong Roman dominating function for G if every $v{\in}B_0$ has a neighbor w such that $f(w){\geq}1+{\lceil}{\frac{1}{2}}{\mid}N(w){\cap}B_0{\mid}{\rceil}$. In this paper, we study the bounds on strong Roman domination numbers of the Cartesian product $P_m{\square}P_k$ of paths $P_m$ and paths $P_k$. We compute the exact values for the strong Roman domination number of the Cartesian product $P_2{\square}P_k$ and $P_3{\square}P_k$. We also show that the strong Roman domination number of the Cartesian product $P_4{\square}P_k$ is between ${\lceil}{\frac{1}{3}}(8k-{\lfloor}{\frac{k}{8}}{\rfloor}+1){\rceil}$ and ${\lceil}{\frac{8k}{3}}{\rceil}$ for $k{\geq}8$, and that both bounds are sharp bounds.

• The Korean Journal of Rheology
• /
• v.5 no.2
• /
• pp.161-169
• /
• 1993

Glucomannan(G.M.)은 Amorphophallus Konjac C. Koch의 tuber로부터 분리되었고. 이 G.M.은 다시 침전제로 메탄올을 사용하여 4단계로 분별되었다.(F.1, F.2, F.3, F.4,). 각분 별물에 비하여 직선으로부터 벗어남을 보였다. Low shear viscometer로 G.M. 용액의 viscosity를 측정하였고 농도와 zero shear specific viscosity의 logarithm을 도시한 결과 inflection point를 나타내었다. 이것은 G.M. 분자들의 coil overlap의 시작에서 기인한 것이 고 묽은 용액에서 진한 용액으로의 전이행동은 임계농도. C＊=4/[η]에서 일어났고 이때의 zero shear specific viscosity는 10을 나타내었다. 또한 specific viscosity는 묽은 용액에대해 서는 C14로써 변화하였고 진한 요액에서는 C3.0으로변화하였다. G.M.의 고체상태에 대한 유 전성($\varepsilon$＇,$\varepsilon$＂)과 점탄성(C＇,C＂)계수들을 액체질소 온도에서부터 15$0^{\circ}C$ 온도범위에 걸쳐 4단계로 film을 건조시키면서 10Hz에서 측정하였다. G.M. film의 유전성과 점탄성의 허수부 분은 ($\varepsilon$＂, C＂), -10$0^{\circ}C$에서 peak를 나타내었고 이 peak는 hydroxy methyl 기들의 회전 운동에서 생겨난 것이다. 건조시키지 않은 상태의 G.M. film의 유전성과 점탄성의 허수부분 의 값들은 -5$0^{\circ}C$에서 물 분자의 운동에 의하여 생긴 peak를 보였다.

• Journal of Korean Society of Environmental Engineers
• /
• v.27 no.10
• /
• pp.1058-1064
• /
• 2005

This research was designed to investigate the removal of anionic species, such as $F^-$, $Cl^-$ and ${NO_3}^-$, by adsorption on the clay minerals. Bentonite, $Ca^{2+}$ or $Na^+$ ion exchanged bentonite and montmorillonite, such as KSF and K10 from Sigma Aldrich, were used as the adsorbent. The component of five inorganic adsorbent was analyzed by XRF and XRD and the concentration of anion was measured by ion chromatography. From the experimental results, it was shown that the adsorption equilibrium was attained after 8-24 hours. For the amount of 6 g of each adsorbent, the adsorption capacities of $F^-$ and ${NO_3}^-$ on KSF was the largest as $825\;{\mu}g/g$ and $707\;{\mu}g/g$ respectively and that of $F^-$ on $Ca^{2+}$ ion exchanged bentonite was $255\;{\mu}g/g$ and that of ${NO_3}^-$ on K10 was $103\;{\mu}g/g$. In general, the efficiency of removal for the anionic species was increased with increasing of the amount of the adsorbent. Especially, for the amount of 6 g of KSF, the efficiency of removal for $F^-$ and ${NO_3}^-$ was 99% and 95% respectively. But, for all adsorbents, the efficiency of removal for $Cl^-$ was less than 9%. Also, a Freundlich equation was used to fit the acquired experimental data. As the result, for the $F^-$ and ${NO_3}^-$ on KSF, Freundlich constants, K, was respectively 1.09 and $0.45\;[mg/g][L/mg]^{1/n}$ and the adsorption intensity(1/n) was determined to be 0.08 and 0.27 respectively.