Expanding Circles
Expanding Circles is a mathematical model within the framework of related rates problems that describes the dynamic growth of circular regions over time, characterized by the rate of change of the radius and its propagation to derived quantities such as area and circumference.
80
Publications
5.7K
Citations
94
Authors
83
Institutions
Publications per year
2017–2026
22
Parents
80
Understanding English as a Lingua Franca
Cem Alptekin · ELT Journal · 2012 · 1.4K citations
New reflections on the evolutionary dynamics of world Englishes
Edgar W. Schneider · World Englishes · 2014 · 333 citations
The Expanding Circle: Ethics, Evolution, and Moral Progress
Jonathan Warner · The European Legacy · 2014 · 292 citations
The power and politics of English
Braj Β. Kachru · World Englishes · 1986 · 286 citations
1–5 of 80
94
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83
Purdue University West Lafayette
West Lafayette, United States
5 h-index
6 publications
232 citations
Allameh Tabataba'i University
Tehran, Iran
3 h-index
4 publications
86 citations

Lomonosov Moscow State University
Moscow, Russia
3 h-index
3 publications
59 citations

Monash University
Melbourne, Australia
2 h-index
3 publications
134 citations
Moscow State University
Dushanbe, Tajikistan
2 h-index
2 publications
44 citations

Urbana University
Urbana, United States
2 h-index
2 publications
324 citations

North-West University
Potchefstroom, South Africa
2 h-index
2 publications
89 citations
Nanyang Technological University
Singapore, Singapore
2 h-index
3 publications
134 citations
1–8 of 83
WE · 39 publications · 2.2K citations
24
h-index
5 publications · 136 citations
5
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4 publications · 141 citations
4
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2 publications · 67 citations
2
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2 publications · 80 citations
2
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1–5