• Journal of applied mathematics & informatics
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• 제32권3_4호
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• pp.377-387
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• 2014

Let G be a (p, q) graph. Let f be a map from V (G) to {1, 2, ${\ldots}$, p}. For each edge uv, assign the label ${\mid}f(u)-f(\nu){\mid}$. f is called a difference cordial labeling if f is a one to one map and ${\mid}e_f(0)-e_f(1){\mid}{\leq}1$ where $e_f(1)$ and $e_f(0)$ denote the number of edges labeled with 1 and not labeled with 1 respectively. A graph with admits a difference cordial labeling is called a difference cordial graph. In this paper, we investigate the difference cordial labeling behavior of triangular snake, Quadrilateral snake, double triangular snake, double quadrilateral snake and alternate snakes.

• 대한수학회보
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• 제47권1호
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• pp.113-119
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• 2010

If f is M-harmonic and integrable with respect to a weighted radial measure $\upsilon_{\alpha}$ over the unit ball $B_n$ of $\mathbb{C}^n$, then $\int_{B_n}(f\circ\psi)d\upsilon_{\alpha}=f(\psi(0))$ for every $\psi{\in}Aut(B_n)$. Equivalently f is fixed by the weighted Berezin transform; $T_{\alpha}f = f$. In this paper, we show that if a function f defined on $B_n$ satisfies $R(f\circ\phi){\in}L^{\infty}(B_n)$ for every $\phi{\in}Aut(B_n)$ and Sf = rf for some |r|=1, where S is any convex combination of the iterations of $T_{\alpha}$'s, then f is M-harmonic.

• 대한수학회논문집
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• 제32권4호
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• pp.959-970
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• 2017

In this paper, we investigate the transcendental meromorphic solutions with finite order of two different types of difference equations $${\sum\limits_{j=1}^{n}}a_jf(z+c_j)={\frac{P(z,f)}{Q(z,f)}}={\frac{{\sum_{k=0}^{p}}b_kf^k}{{\sum_{l=0}^{q}}d_lf^l}}$$ and $${\prod\limits_{j=1}^{n}}f(z+c_j)={\frac{P(z,f)}{Q(z,f)}={\frac{{\sum_{k=0}^{p}}b_kf^k}{{\sum_{l=0}^{q}}d_lf^l}}$$ that share three distinct values with another meromorphic function. Here $a_j$, $b_k$, $d_l$ are small functions of f and $a_j{\not{\equiv}}(j=1,2,{\ldots},n)$, $b_p{\not{\equiv}}0$, $d_q{\not{\equiv}}0$. $c_j{\neq}0$ are pairwise distinct constants. p, q, n are non-negative integers. P(z, f) and Q(z, f) are two mutually prime polynomials in f.

• 대한수학회보
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• 제57권3호
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• pp.709-737
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• 2020

Let R be a prime ring of characteristic different from 2. Suppose that F, G, H and T are generalized derivations of R. Let U be the Utumi quotient ring of R and C be the center of U, called the extended centroid of R and let f(x₁, …, x_n) be a non central multilinear polynomial over C. If F(f(r₁, …, r_n))G(f(r₁, …, r_n)) - f(r₁, …, r_n)T(f(r₁, …, r_n)) = H(f(r₁, …, r_n)²) for all r₁, …, r_n ∈ R, then we describe all possible forms of F, G, H and T.

• 대한수학회논문집
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• 제24권1호
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• pp.127-144
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• 2009

Let f be a diffeomorphism of a compact $C^{\infty}$ manifold, and let p be a hyperbolic periodic point of f. In this paper we introduce the notion of $C^1$-stable inverse shadowing for a closed f-invariant set, and prove that (i) the chain recurrent set $\cal{R}(f)$ of f has $C^1$-stable inverse shadowing property if and only if f satisfies both Axiom A and no-cycle condition, (ii) $C^1$-generically, the chain component $C_f(p)$ of f associated to p is hyperbolic if and only if $C_f(p)$ has the $C^1$-stable inverse shadowing property.

• 대한수학회보
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• 제52권6호
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• pp.2095-2105
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• 2015

Given c, a positive integer, we set. $$M(f,c):=\frac{2}{{\phi}(f)}\sum_{{\chi}{\in}X^-_f}{\chi}(c)|L(1,{\chi})|^2$$, where $X^-_f$ is the set of the $\phi$(f)/2 odd Dirichlet characters mod f > 2, with gcd(f, c) = 1. We point out several mistakes in recently published papers and we give explicit closed formulas for the f's such that their prime divisors are all equal to ${\pm}1$ modulo c. As a Corollary, we obtain closed formulas for M(f, c) for c $\in$ {1, 2, 3, 4, 5, 6, 8, 10}. We also discuss the case of twisted quadratic moments for primitive characters.

• 한국균학회지
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• 제14권4호
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• pp.253-256
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• 1986

fusarium속(屬)에 속하는 3 종(種)인 F. solani, F. moniliforme, F.cocophilum을 실험재료로 하여 그들의 균사내(菌絲內)에서 일어나는 핵분열(核分裂)을 관찰하고, 그들의 염색체수(染色體數)를 확인하였다. Fusarium속(屬)의 핵분열(核分裂)은 생장(生長)하고 있는 끝부분(hyp-hal tip)에서 좀 더 관찰이 잘 되었고 염색체(染色體)의 형태(形態)는 대체로 점(點)(dot)모양이었으며, 확인한 염색체(染色體)의 수(數)는 F. solani는 n=8, F. moniforme는 8, F. cocophilum은 n=6개였다.

• 한국잠사곤충학회지
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• 제42권2호
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• pp.86-92
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• 2000

Studies were carried out to investigate the phenotypic characteristics of the non-molting mutant (nm-f) which was mapped on the 2nd linkage group. The results obtained were as follows : The nm-f mutant was distinguishable in the 3rd day of hatching. About 80 percentage of the non-molting mutant larvae died at the first instar within 10 days of hatching. The remaining larvae survived to the 2nd ad the 3rd instar but did not live to the final instar. There was no difference in non-molting nutant manifestation between hibernating and artificial hatching eggs. As a result of hemolymph protein analysis, the protein content on nm-f mutant was less than the normal larvae's. Therefore, we conclude that the characterization of nm-f is similar to the already known strains of non-molting mutant and the shortage of hemolymph protein is closely related to the non-molting characteristic in nm-f.

• 산업경영시스템학회지
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• 제6권8호
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• pp.35-40
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• 1983

The fusion frequency of flicker (F.F.F.) of 40 pupils were examined every day repeatedly, from Monday to Saturday. (1) The individual Variations of F.F.F. were statistically highly significant, p < 0.01 (2) Day to day Variations of F.F.F. were statistically highly significant, p < 0.01 (3) The interaction between age and weekly change was highly significant, p < 0.01 (4) The interaction between sex difference and weekly change was also significant, p < 0.01 (5) The interaction among age, sex and weekly change was significant at 1% level of significance.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제27권2호
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• pp.83-96
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• 2020

In this paper we study Biharmonic curves, Legendre curves and Magnetic curves in three dimensional f-Kenmotsu manifolds. We also study 1-type curves in a three dimensional f-Kenmotsu manifold by using the mean curvature vector field of the curve. As a consequence we obtain for a biharmonic helix in a three dimensional f-Kenmotsu manifold with the curvature κ and the torsion τ, κ² + τ² = -(f² + f'). Also we prove that if a 1-type non-geodesic biharmonic curve γ is helix, then λ = -(f² + f').