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pro vyhledávání: '"Huang, Yen-Chang"'
Autor:
Huang, Yen-Chang
The classical result of Cauchy's surface area formula states that the surface area of the boundary $\partial K=\Sigma$ of any $n$-dimensional convex body in the $n$-dimensional Euclidean space $\mathbb{R}^n$ can be obtained by the average of the proj
Externí odkaz:
http://arxiv.org/abs/2303.03691
Autor:
Huang, Yen-Chang
By considering the three dimensional Heisenberg group $\mathbb{H}_1$ as a flat model of pseudo-hermitian manifolds, the authors in [8] derived the Frenet-Serret formulas for curves in $\mathbb{H}_1$. In this notes we show three applications of the Fr
Externí odkaz:
http://arxiv.org/abs/2203.03148
Autor:
Huang, Yen-Chang1 (AUTHOR) ychuang@mail.nutn.edu.tw
Publikováno v:
Journal of Inequalities & Applications. 4/2/2024, Vol. 2024 Issue 1, p1-16. 16p.
Autor:
Huang, Yen-Chang
We show the analogy of Cauchy's surface area formula for the Heisenberg groups $\mathbb{H}_n$ for $n\geq 1$, which states that the p-area of any compact hypersurface $\Sigma$ in $\mathbb{H}_n$ with its p-normal vector defined almost everywhere on $\S
Externí odkaz:
http://arxiv.org/abs/2010.14380
Autor:
Ho, Pak Tung, Huang, Yen-Chang
On a compact manifold $M$ with boundary $\partial M$, we study the problem of prescribing the scalar curvature in $M$ and the mean curvature on the boundary $\partial M$ simultaneously. To do this, we introduce the notion of singular metric, which is
Externí odkaz:
http://arxiv.org/abs/2008.11893
Autor:
Huang, Yen-Chang
In this paper we study areas (called p-areas) and volumes for parametric surfaces in the 3D-Heisenberg group $\mathbb{H}_1$, which is considered as a flat model of pseudo-hermitian manifolds. We derive the formulas of p-areas and volumes for parametr
Externí odkaz:
http://arxiv.org/abs/2001.04578
Publikováno v:
In Journal of Dental Sciences October 2023 18(4):1467-1476
Autor:
Liong, Sze-Teng, Gan, Y. S., Liu, Kun-Hong, Binh, Tran Quang, Le, Cong Tue, Wu, Chien An, Yang, Cheng-Yan, Huang, Yen-Chang
Genuine leather, such as the hides of cows, crocodiles, lizards and goats usually contain natural and artificial defects, like holes, fly bites, tick marks, veining, cuts, wrinkles and others. A traditional solution to identify the defects is by manu
Externí odkaz:
http://arxiv.org/abs/1906.06446
Leather is a type of natural, durable, flexible, soft, supple and pliable material with smooth texture. It is commonly used as a raw material to manufacture luxury consumer goods for high-end customers. To ensure good quality control on the leather p
Externí odkaz:
http://arxiv.org/abs/1905.11731
Leather is a natural and durable material created through a process of tanning of hides and skins of animals. The price of the leather is subjective as it is highly sensitive to its quality and surface defects condition. In the literature, there are
Externí odkaz:
http://arxiv.org/abs/1903.12139