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Top 20 Fast-growings companies in Expansive
by Most Patent Filing In 5 Years in the world in 2018

The Expansive top 20 is Discovery PatSnap’ annual ranking of the top 20 Most Patent Filing In 5 Years Expansive Fast-growings in the world. Discovery has identified the top key players, startups & unicorns, fast-growings, news entrants in 2018, ranking from differnt perspectives, including patent filing intensity, academic research capability, news media heat. The company list is generated from various data types.
In mathematics, the notion of expansivity formalizes the notion of points moving away from one another under the action of an iterated function. The idea of expansivity is fairly rigid, as the definition of positive expansivity, below, as well as the Schwarz-Ahlfors-Pick theorem demonstrate.
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Company Name
Region
Tech Topics
Total
1
Patent: 2
2
Patent: 2
3
Patent: 2
4
Aichi, Japan
Patent: 1
5
Patent: 1
6
Patent: 1
7
Patent: 1
8
Tokyo, Japan
Patent: 1
9
Patent: 1
10
Pinyin,Mathematics,Geotechnical engineering,
...[+2]
Patent: 1
11
Patent: 1
12
Patent: 1
13
Patent: 1
14
Patent: 1
15
Patent: 1
16
Patent: 1
17
Patent: 1
18
Patent: 1
19
Minas Gerais, Brazil
Patent: 1
20
Patent: 1
Page generation time: Aug 12 2025