Erratum to: A Direct Method for Determining the Lower Convex Hull of a Finite Point Set in 3D

2017 ◽  
pp. E1-E1
Author(s):  
Thanh An Phan ◽  
Thanh Giang Dinh
Keyword(s):  
Convex Hull ◽  
Direct Method ◽  
Finite Point ◽  
Point Set ◽  
A Direct Method

An efficient algorithm for finding the minimum norm point in the convex hull of a finite point set in the plane

1994 ◽  
Vol 16 (1) ◽  
pp. 33-40 ◽  
Author(s):  
Naoki Makimoto ◽  
Ikuo Nakagawa ◽  
Akihisa Tamura
Keyword(s):  
Convex Hull ◽  
Efficient Algorithm ◽  
Minimum Norm ◽  
Finite Point ◽  
Point Set

scholarly journals Enumerating Triangulations of Convex Polytopes

2001 ◽  
Vol DMTCS Proceedings vol. AA,... (Proceedings) ◽  
Author(s):  
Sergei Bespamyatnikh
Keyword(s):  
Convex Hull ◽  
Simplicial Complex ◽  
Convex Polytopes ◽  
Three Dimensions ◽  
Finite Point ◽  
Convex Position ◽  
International Audience ◽  
Point Set

International audience A triangulation of a finite point set A in $\mathbb{R}^d$ is a geometric simplicial complex which covers the convex hull of $A$ and whose vertices are points of $A$. We study the graph of triangulations whose vertices represent the triangulations and whose edges represent geometric bistellar flips. The main result of this paper is that the graph of triangulations in three dimensions is connected when the points of $A$ are in convex position. We introduce a tree of triangulations and present an algorithm for enumerating triangulations in $O(log log n)$ time per triangulation.

A DIRECT METHOD OF OPERATIONAL CALCULUS (I)

1982 ◽  
Vol 2 (4) ◽  
pp. 389-402 ◽  
Author(s):  
Lianrong Qiu
Keyword(s):  
Direct Method ◽  
Operational Calculus ◽  
Calculus I ◽  
A Direct Method

A Direct Method of Preparation of Diazirine

1962 ◽  
Vol 84 (6) ◽  
pp. 1063-1064 ◽  
Author(s):  
W. H. Graham
Keyword(s):  
Direct Method ◽  
A Direct Method

scholarly journals Plastic waste to fuels by hydrocracking at mild conditions

2021 ◽  
Vol 7 (17) ◽  
pp. eabf8283
Author(s):  
Sibao Liu ◽  
Pavel A. Kots ◽  
Brandon C. Vance ◽  
Andrew Danielson ◽  
Dionisios G. Vlachos
Keyword(s):  
Direct Method ◽  
Acid Sites ◽  
Liquid Fuels ◽  
High Yield ◽  
Tandem Catalysis ◽  
Hy Zeolite ◽  
Environmental Threat ◽  
Single Use ◽  
Initial Activation ◽  
A Direct Method

Single-use plastics impose an enormous environmental threat, but their recycling, especially of polyolefins, has been proven challenging. We report a direct method to selectively convert polyolefins to branched, liquid fuels including diesel, jet, and gasoline-range hydrocarbons, with high yield up to 85% over Pt/WO3/ZrO2 and HY zeolite in hydrogen at temperatures as low as 225°C. The process proceeds via tandem catalysis with initial activation of the polymer primarily over Pt, with subsequent cracking over the acid sites of WO3/ZrO2 and HY zeolite, isomerization over WO3/ZrO2 sites, and hydrogenation of olefin intermediates over Pt. The process can be tuned to convert different common plastic wastes, including low- and high-density polyethylene, polypropylene, polystyrene, everyday polyethylene bottles and bags, and composite plastics to desirable fuels and light lubricants.

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