• Bulletin of the Korean Mathematical Society
• /
• v.51 no.2
• /
• pp.567-577
• /
• 2014

In this note, we generalize the weak maximum principle in [4] to the case of complete linear Weingarten hypersurface in Riemannian space form $\mathbb{M}^{n+1}(c)$ (c = 1, 0,-1), and apply it to estimate the norm of the total umbilicity tensor. Furthermore, we will study the linear Weingarten hypersurface in $\mathbb{S}^{n+1}(1)$ with the aid of this weak maximum principle and extend the rigidity results in Li, Suh, Wei [13] and Shu [15] to the case of complete hypersurface.

• 한국정보디스플레이학회:학술대회논문집
• /
• 2007.08b
• /
• pp.1319-1322
• /
• 2007

Planar PIN photodiode is compatible with LTPS process, and its fabrication requires no additional manufacturing process. In this study we design the optimum dimension of PIN diodes with two nitride layers to improve the efficiency of PIN diodes. The PIN photo sensor shows very good sensitivity to ambient light illuminance.

• KLA journal
• /
• v.9 no.6
• /
• pp.7-14
• /
• 1968

이글은 경학ㆍ사학ㆍ불교학등 제면에 박식한 중국의 석학인 고 양계초(Liang Chi-Chao 1378~1930)씨의 ‘고서진위여기년대’(대만, 중화서국, 국민 52)를 역한 것이다. 본저는 저자가 그의 만년에 전생을 거쳐 연구한 한 단면을 정리, 국민 16년 2월부터 6월까지 반년간 북경 연경대학에서 이를 강의한 내용이다. 총론에 제기된 고서의 진위식별에 대한 제문제는 동양학연구는 물론, 고서정리와 서지거연구자들의 지침서로 될 것이며, 각론에 소개된 경전을 비롯한 제문헌의 해제는 동양학부문에 있어서의 인문ㆍ사회과학서지연구의 나침반으로 믿어 의심치 않는다.

• Proceedings of the Korea Water Resources Association Conference
• /
• 2005.09b
• /
• pp.1120-1121
• /
• 2005

• 한국정보디스플레이학회:학술대회논문집
• /
• 2008.10a
• /
• pp.898-899
• /
• 2008

In this paper we propose a new method for obtaining two way switchable LCD. For this two domain vertical alignment LCD is used. A two way LCD is able to show different images on the same screen based on left and right perspectives. Viewing angle dependence of different grey levels of transmittance for the polar angles 0, +45 and -45 degree are also found out.

• Proceedings of the KSMRM Conference
• /
• 1996.10a
• /
• pp.72-72
• /
• 1996

• Journal of applied mathematics & informatics
• /
• v.35 no.1_2
• /
• pp.1-9
• /
• 2017

In this paper, we investigate the uniqueness problem related to the power of a meromorphic functions sharing a small function with its derivative. The results in this paper improve and generalize some well known previous results.

• Journal of applied mathematics & informatics
• /
• v.36 no.5_6
• /
• pp.447-458
• /
• 2018

In this paper, we investigate the uniqueness problems of certain types of difference polynomials sharing a small function. The results of the paper improve and generalize the recent results due to H.P. Waghamore [Tbilisi Math. J. 11(2018), 1-13], P. Sahoo and B. Saha [App. Math. E-Notes. 16(2016), 33-44].

• Journal of the Korean Mathematical Society
• /
• v.45 no.1
• /
• pp.273-287
• /
• 2008

In this paper, some logarithmically completely monotonic, strongly completely monotonic and completely monotonic functions related to the gamma, digamma and polygamma functions are established. Several inequalities, whose bounds are best possible, are obtained.

• Bulletin of the Korean Mathematical Society
• /
• v.53 no.5
• /
• pp.1411-1425
• /
• 2016

We provide a partial differential equation for European options on a stock whose price process follows a general geometric Riemannian Brownian motion. The existence and the uniqueness of solutions to the partial differential equation are investigated, and then an expression of the value for European options is obtained using the fundamental solution technique. Proper Riemannian metrics on the real number field can make the distribution of return rates of the stock induced by our model have the character of leptokurtosis and fat-tail; in addition, they can also explain option pricing bias and implied volatility smile (skew).