• 충청수학회지
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• 제28권4호
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• pp.635-645
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• 2015

We will show the general solution of the functional equation $$\begin{eqnarray}f(x+ay)+f(x-ay)+2(a^2-1)f(x)\\=a^2f(x+y)+a^2f(x-y)+2a^2(a^2-1)f(y)\end{eqnarray}$$ and investigate the Hyers-Ulam stability of the quartic set-valued functional equation.

• 충청수학회지
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• 제26권3호
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• pp.557-569
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• 2013

In this paper we shall introduce the $f$-function in a set, and give some properties of $f$-function of a set. In particular, we establish a relation between $f$-function of a set and fuzzy equivalence relation. We also introduce the notion of $f$-homomorphism on a semigroup S, and prove the generalized fundamental homomorphism theorem of semigroup.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제22권4호
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• pp.389-401
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• 2015

We will show the general solution of the functional equation f(x + ay) + f(x − ay) + 2(a² − 1)f(x) = a²f(x + y) + a²f(x − y) + 2a²(a² − 1)f(y) and investigate the stability of quartic Lie *-derivations associated with the given functional equation.

• Applied Biological Chemistry
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• 제22권2호
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• pp.123-134
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• 1979

Bacillus thuringiensis Berliner를 이용한 미생물 살충제의 개발을 위하여 연구를 행한바 다음과 같은 결과를 얻었다. (1) 제사공장에서 폐기되는 자견수의 냉동 건조물 중에는 조단백질 함량이 51.825%가 함유되어 있으며 기타 무기염류도 다량 함유되어 있어 자견수는 본 세균 배양의 좋은 영양원이 될 수 있다. (2) 현수성으로 보아 가장 양호한 제제는 F-5로서 그 조성은 Cell-Spore-Crystal 혼합을 0.2 g, 200-mesh Kaolin 25 g, New Kalgen NX-150, 2.59 그리고 glycerine 2.5 g을 증류수 8ml의 비율로 혼합하여 80 mesh 입제로 한 것이다. (3) F-5, F-6, 및 F-7의 조성중 다른 것은 전부 같고 다만 Cell-Spore-Crystal 혼합들의 함량이 F-5에서는 0.2 g, F-6에서는 0.4 g, F-7에서는 0.6 g인 점이 다르므로 이들 제제의 물리성은 거의 동일하다. (4) F-5, F-6 및 F-7은 5% 농도에서 무궁화잎 밤나방, 송충, 회양목 명나방 유충 등에 우수한 살충효과를 보였다. (5) 제제의 일 성분으로 $NaHCO_3$를 첨가한 F-8과 F-9는 무궁화잎 밤나방과 송충에 대한 독성 실험에서 $NaHCO_3$를 함유하지 않은 F-6 보다 현저한 독성의 감소를 보여주었다. (6) $(NH_4)_2SO_4$ 0.2%와 glucose 0.8%를 자견수에 용해하여 pH를 7.05로 조정한 배지인 M-3을 사용하여 aeration 시키면서 96시간 배양하였을때 포자수는 최고 $2.97{\times}10^9/ml$에 도달하였다. (7) F-6은 제제후 70일 동안 실온에서 저장시 무궁화잎 밤나방과 송충에 대한 독성이 약간 감소하는 경향이 있었으므로 냉암소에 저장함이 바람직하다. (8) F-6은 야외 살포로 대추나무의 노랑쐐기나방 회양목 명나방유충, 장미의 찔레수염 진딧물 등의 방제에 좋은 효과를 보였다.

• 한국진공학회:학술대회논문집
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• 한국진공학회 2012년도 제42회 동계 정기 학술대회 초록집
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• pp.132-132
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• 2012

Depositing $CaF_2$[0.6% lattice-mismatch] on the Si(001)-$4^{\circ}$ off surface [composed of a single (001) domain with regularly-arrayed double-layer DB steps and located between (1 1 19) and (1 1 21)] held at $700^{\circ}C$, $CaF_2$ molecules are preferentially adsorbed on the dimers and dissociated to Ca and F atoms. Dissociated Ca atoms form a silicide layer of a $2{\times}3$ structure on the (001) terrace, while F atoms are desorbed from the surface. Once the terrace is covered with a calcium silicide layer, CaF starts to be adsorbed selectively on the steps, as shown in Fig. (a). With $CaF_2$ deposition exceeding 1 ML, the (1 1 17) surface having 1-D $CaF_2$ nanodots are formed as shown in Fig. (b). By the present STM study, it has been clearly disclosed that the calcium silicide interfacial layer is preformed prior to adsorption of $CaF_2$ on vicinal Si(001) surface.

• 한국가축번식학회지
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• 제12권2호
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• pp.77-83
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• 1988

This study was done with mouse embryo to assess effects of freezing media containing sucrose, freezing metods(1-F, 0.3$^{\circ}C$/min;2-F, 3-5$^{\circ}C$/min;3-F, 15$^{\circ}C$min;4-F, LN2 vapour) and cell freezers on the embryo survival determined using the FDA test. The results are summarized as follows. 1. The FDA score obtained with 1, 2, 3 and 4-F was 3.8, 3.6, 3.2 and 3.2, respectively. There was a significant difference(P<0.05) between 1-F, 3-F and 2-F, 4-F. 2. The score at the morular stage(3.8) higher(P<0.005) than the blastocyst stage of embryos(3.2). 3. No difference (P>0.05) was found between the score obtained with a automatic embryo freezer(4.0) and a liquid nitrogen container(3.7).

• 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.

• Kyungpook Mathematical Journal
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• 제53권4호
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• pp.565-571
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• 2013

In this paper, we investigate the commutativity of a semiprime ring R admitting a generalized derivation F with associated derivation D satisfying any one of the properties: (i) $F(x){\circ}D(y)=[x,y]$, (ii) $D(x){\circ}F(y)=F[x,y]$, (iii) $D(x){\circ}F(y)=xy$, (iv) $F(x{\circ}y)=[F(x) y]+[D(y),x]$, and (v) $F[x,y]=F(x){\circ}y-D(y){\circ}x$ for all x, y in some appropriate subsets of R.

• 전자통신동향분석
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• 제34권6호
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• pp.156-163
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• 2019

As a primitive immersive video technology, a three degrees of freedom (3DoF) $360^{\circ}$ video can currently render viewport images that are dependent on the rotational movements of the viewer. However, rendering a flat $360^{\circ}$ video, that is supporting head rotations only, may generate visual discomfort especially when objects close to the viewer are rendered. 3DoF+ enables head movements for a seated person adding horizontal, vertical, and depth translations. The 3DoF+ $360^{\circ}$ video is positioned between 3DoF and six degrees of freedom, which can realize the motion parallax with relatively simple virtual reality software in head-mounted displays. This article introduces the standardization trends for the 3DoF+ video in the MPEG-I visual group.

• 충청수학회지
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• 제28권2호
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• pp.251-259
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• 2015

Let $\mathbb{F}^d_q$ be a d-dimensional vector space over a finite field $\mathbb{F}^d_q$ with q elements. We endow the space $\mathbb{F}^d_q$ with a normalized counting measure dx. Let ${\sigma}$ be a normalized surface measure on an algebraic variety V contained in the space ($\mathbb{F}^d_q$, dx). We define the restricted averaging operator AV by $A_Vf(X)=f*{\sigma}(x)$ for $x{\in}V$, where $f:(\mathbb{F}^d_q,dx){\rightarrow}\mathbb{C}$: In this paper, we initially investigate $L^p{\rightarrow}L^r$ estimates of the restricted averaging operator AV. As a main result, we obtain the optimal results on this problem in the case when the varieties V are any nondegenerate algebraic curves in two dimensional vector spaces over finite fields. The Fourier restriction estimates for curves on $\mathbb{F}^2_q$ play a crucial role in proving our results.