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Ruled invariants and associated ruled surfaces of a space curve
Liu, Huili,Liu, Yixuan,Jung, Seoung Dal Elsevier 2019 Applied Mathematics and Computation Vol.348 No.-
<P><B>Abstract</B></P> <P>As we know, a ruled surface is the tangent ruled surface of a space curve if and only if its ruled distance density function vanishes identically; a ruled surface is the binormal ruled surface of a space curve if and only if its ruled translation density function vanishes identically. The ruled distance density function and translation density function are differential invariants of ruled surfaces in three dimensional Euclidean space. In this paper we give the necessary and sufficient condition of which a ruled surface is the principal normal ruled surface of a space curve using the theories of ruled invariants of ruled surface in three dimensional Euclidean space.</P>
Indefinite centroaffine surfaces with vanishing generalized Pick function
Liu, Huili,Jung, Seoung Dal Elsevier 2007 Journal of mathematical analysis and applications Vol.329 No.1
<P><B>Abstract</B></P><P>In this paper, we study indefinite centroaffine surfaces with vanishing generalized Pick function. We give a classification of such surfaces.</P>
Structures and properties of null scroll in Minkowski 3-space
Liu, Huili,Jung, Seoung Dal World Scientific 2017 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODE Vol.14 No.5
<P>In this paper, we study structures and properties of Null scrolls. We define the (relative) invariants for Null scrolls by using a kind of standard equation. Using these (relative) invariants of Null scrolls, we give some new characterizations and classifications of Null scrolls and B-scrolls.</P>
Bilibili: Soaring to be China's largest Video Community for Young People
Ting Liu,Yubo Zhou,Huili Chen,Hao Sun,Rocky P. Chen Academy of Asian Business (AAB) 2023 Academy of Asian Business Review Vol.9 No.1
Bilibili, the most popular software in China among young people, deserves further exploration. This report aims to analyze how Bilibili has grown from a small website full of pirate videos to a preferred video community for China's younger generation (under 35 years old) today through community atmosphere building, content ecology maintenance, and understanding the mindset of Generation Z+ (born from 1985 to 2009). There are four main segments in this report. The timeline shows the major events that have shaped Bilibili since its foundation. Second, this report analyzes its four important turning points. Moreover, the success factors exhibit what makes Bilibili stand out from the many short-form video platforms in China. For example, Bilibili grasped the psychology of young people, managed to attract young people, and came out with its differentiation strategy. Finally, this report summarizes the lessons that students and entrepreneurs can learn from Bilibili's success.
A CHARACTERIZATION OF PARABOLA
Yu, Yanhua,Liu, Huili Korean Mathematical Society 2008 대한수학회보 Vol.45 No.4
In this paper, the parabola will be characterized as the plane curve whose curvature function and support function satisfy a condition, where we define the support function as the distance from origin to the tangent line.
Factorable surfaces in 3-Minkowski space
Huihui Meng,Huili Liu 대한수학회 2009 대한수학회보 Vol.46 No.1
In this paper, we mainly discuss factorable surfaces in 3-dimensional Minkowski space and give classification of such surfaces whose mean curvature and Gauss curvature satisfy certain conditions. In this paper, we mainly discuss factorable surfaces in 3-dimensional Minkowski space and give classification of such surfaces whose mean curvature and Gauss curvature satisfy certain conditions.
A characterization of parabola
Yanhua Yu,Huili Liu 대한수학회 2008 대한수학회보 Vol.45 No.4
In this paper, the parabola will be characterized as the plane curve whose curvature function and support function satisfy a condition, where we define the support function as the distance from origin to the tangent line. In this paper, the parabola will be characterized as the plane curve whose curvature function and support function satisfy a condition, where we define the support function as the distance from origin to the tangent line.
HELICOIDAL SURFACES AND THEIR GAUSS MAP IN MINKOWSKI 3-SPACE
최미경,김영호,Huili Liu,윤대원 대한수학회 2010 대한수학회보 Vol.47 No.4
The helicoidal surface is a generalization of rotation surface in a Minkowski space. We study helicoidal surfaces in a Minkowski 3-space in terms of their Gauss map and provide some examples of new classes of helicoidal surfaces with constant mean curvature in a Minkowski 3-space.