• 한국컴퓨터정보학회논문지
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• 제25권7호
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• pp.65-73
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• 2020

바이럴 영상광고는 광고 및 영화산업에서 특정제품이나 개봉전 영화에 대한 사전 홍보 목적으로 활용되고 있으며, 투자 대비 많은 효과를 내고 있다. 향후 발전 방향을 예측해 보려면 바이럴 영상 인식에 대한 분석이 필요하다. 이에 본 연구는 광고나 영화를 가장 많이 접하는 연령층인 20대 대학생 118명에 대한 바이럴 영상 설문조사를 하였다. 이를 통해 바이럴 영상에 대한 인지 여부, 기억에 남는 바이럴 영상, 만족도, 메시지 전파여부, 전파 방식, 바이럴 영상에 대한 긍정도, 향후 발전 예상, 희망하는 바이럴 영상 유형 등에 대한 설문을 실시하였다. 이 결과 바이럴 영상 인지도는 16.7%로 나타났고, 가장 기억에 남는 바이럴 영상으로 "겨울왕국" 영화의 "Let it Go" 영상이 설문조사 결과 69.1%로 나타났다. 바이럴 영상에 대한 만족도는 31.2%로 높지 않았으며, 바이럴영상을 시청한 후 타인에게 메시지를 전달한 경우는 73.5%로 높게 나타났다. 바이럴 영상에 대한 부정적 의견은 13.7%로 낮게 나타났으며, 바이럴 영상 분야가 64.5%는 "발전할 것이다"라고 답하였고, 6.7%는 "발전하지 못할 것이다"라고 답하였다.

• Kyungpook Mathematical Journal
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• 제56권4호
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• pp.1135-1140
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• 2016

Let A be an abelian variety over a global field K. We know [6, 7] that, in many cases, the average number of n-torsion points of A over various residue fields of K, takes the minimal possible value. In this article, we study several defect cases by calculating the number of Galois orbits.

• Journal of applied mathematics & informatics
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• 제1권1호
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• pp.49-54
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• 1994

Let f(n) denoted the number of essential parameters which are needed to classify n-dimensional nilpotent Lie Algebras over the complex number field. Then ${\int}(2n){\ge}{\frac{n(n^2-7)}{6}}-2$.

• Korean Journal of Mathematics
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• 제7권2호
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• pp.291-299
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• 1999

Let ${\Omega}$ be the set of all commutative $k$-subalgebras of 14 by 14 matrices over a field $k$ whose dimension is 13 and index of Jacobson radical is 3. Then we will find the equivalent condition for a commutative subalgebra to be maximal.

• 충청수학회지
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• 제7권1호
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• pp.75-86
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• 1994

Let L be a Lie algebra over an algebraically closed field F of chracteristic p > 0 which has an $\underline{1}$-filtration. We prove that W(1;$\underline{1}$) is the only restricted simple Lie algebra having an $\underline{1}$-filtration. And we show that the even dimensional Lie algebra can not have an $\underline{1}$-filtration.

• 대한수학회보
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• 제48권2호
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• pp.353-363
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• 2011

Let k $\geq$ 1 be an integer, and let G be a 2-connected graph of order n with n $\geq$ max{7, 4k+1}, and the minimum degree $\delta(G)$ $\geq$ k+1. In this paper, it is proved that G has a fractional k-factor excluding any given edge if G satisfies max{$d_G(x)$, $d_G(y)$} $\geq$ $\frac{n}{2}$ for each pair of nonadjacent vertices x, y of G. Furthermore, it is showed that the result in this paper is best possible in some sense.

• 대한수학회보
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• 제25권2호
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• pp.185-194
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• 1988

In [2], we have shown that the optimal boundary controls for hyperbolic systems in L$^{2}$-spaces can be attained in a feedback form via Riccati operators. A number of authors [1, 5, 7 and 10] have investigated approximations of Riccati operators arising in distributed parameter systems. They assumed bounded controls for parabolic systems. However, we in this paper study Galerkin approximations of Riccati operators and feedback controls for hyperbolic systems with unbounded control actions. Let us briefly introduce some results of [2]. Let .ohm. be an open bounded region in R$^{n}$ with smooth boundary .GAMMA. where n is a fixed positive integer. We consider a strictly hyperbolic differential operator H(x) of order 1 on .ohm. with noncharacteristic boundary on .GAMMA.

• 대한수학회보
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• 제48권1호
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• pp.129-140
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• 2011

The aim of this paper is to study the structure of the fundamental group of a closed oriented Riemannian manifold with positive scalar curvature. To be more precise, let M be a closed oriented Riemannian manifold of dimension n (4 $\leq$ n $\leq$ 7) with positive scalar curvature and non-trivial first Betti number, and let be $\alpha$ non-trivial codimension one homology class in $H_{n-1}$(M;$\mathbb{R}$). Then it is known as in [8] that there exists a closed embedded hypersurface $N_{\alpha}$ of M representing $\alpha$ of minimum volume, compared with all other closed hypersurfaces in the homology class. Our main result is to show that the fundamental group ${\pi}_1(N_{\alpha})$ is always virtually free. In particular, this gives rise to a new obstruction to the existence of a metric of positive scalar curvature.

• 대한수학회지
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• 제45권5호
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• pp.1379-1391
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• 2008

Let k be an imaginary quadratic field, ${\eta}$ the complex upper half plane, and let ${\tau}{\in}{\eta}{\cap}k,\;q=e^{{\pi}{i}{\tau}}$. For n, t ${\in}{\mathbb{Z}}^+$ with $1{\leq}t{\leq}n-1$, set n=${\delta}{\cdot}2^{\iota}$(${\delta}$=2, 3, 5, 7, 9, 13, 15) with ${\iota}{\geq}0$ integer. Then we show that $q{\frac}{n}{12}-{\frac}{t}{2}+{\frac}{t^2}{2n}{\prod}_{m=1}^{\infty}(1-q^{nm-t})(1-q^{{nm}-(n-t)})$ are algebraic numbers.

• 호남수학학술지
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• 제42권1호
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• pp.139-150
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• 2020

Let p be a prime number with p > 3, p ≡ 3 (mod 4) and let n be a positive integer. In this paper, we prove that the Diophantine equation (5pn² - 1)^x + (p(p - 5)n² + 1)^y = (pn)^z has only the positive integer solution (x, y, z) = (1, 1, 2) where pn ≡ ±1 (mod 5). As an another result, we show that the Diophantine equation (35n² - 1)^x + (14n² + 1)^y = (7n)^z has only the positive integer solution (x, y, z) = (1, 1, 2) where n ≡ ±3 (mod 5) or 5 | n. On the proofs, we use the properties of Jacobi symbol and Baker's method.