Mathematician:Joseph Hoshen
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Mathematician
Israeli-American mathematician known for the creation of Hoshen-Kopelman algorithm that is used to count clusters (connected components) in large lattices; over the years, the algorithm has found many applications in science and technology.
Demonstrated that solving GPS (Global Positioning System) equation is equivalent to solving the Problem of Apollonius in 3 dimensions.
Developed a graph theoretical method to resolve software dependencies problems; problems that in $1992$ almost brought the delivery of Lucent's 5ESS international switch software updates to a standstill.
Nationality
Israeli-American
History
- Born: June 13, 1942 in Tel Aviv Israel (at that time Mandatory Palestine).
Theorems and Definitions
Publications
- Oct. 15, 1976: Percolation and Cluster Distribution. I. Cluster Multple Labeling Technique and Critical Concentration Algorithm (Phys Rev B Vol. 14, no. 8: pp. 3438 – 3445) (with R. Kopelman)
- Jun 1996: The GPS Equations and the Problem of Apollonius (IEEE T Aero Elec Sys Vol. 32, no. 3: pp. 1116 – 1124)
- May 1998: On the Application of the Enhanced Hoshen-Kopelman Algorithm for Image Analysis (Pattern Recognit Lett Vol. 19, no. 7: pp. 575 – 584)
- July 10, 1998: A Graph Theoretical Method for the Management and Synchronization of Large Software Updates (Software Pract Exper Vol. 28, no. 8: pp. 845 – 857)
- Feb 2000: Personal Locator Services Emerge (IEEE Spectr Vol. 37, no. 2: pp. 41 – 48) (with H. Koshima)
- Fall 2009: Powers of Integers and the Geometric Series (PME Vol. 13, no. 1: pp. 45 – 49) www.jstor.org/stable/24340752