isoperimetric inequality
geometric inequality which sets a lower bound on the surface area of a set given its volume
Facts
5 properties- Instance of
- theorem, inequality, compactness measure of a shape[2][3]
- Part of
- list of theorems[4]
- Defining formula
- \operatorname{surf}(S)\ge n\operatorname{vol} (S)^{1-1/n}\operatorname{vol}(\mathbb B_1)^{\frac1n}[6]
- Described by source
- Armenian Soviet Encyclopedia, vol. 4[5]
- Maintained by WikiProject
- WikiProject Mathematics[7]
🏷️ Also known as
en isovolume problem
en isoperimetric inequality
ar مبرهنة تساوي المحيطات
ar متباينة المحيط الثابت
ar تباين المحيطات
ar متباينة المحيطات
ar مبرهنة تباين المحيطات
de Isoperimetrische Ungleichung
es Isoperimetria
es isoperimetría
fi Isoperimetrinen epäyhtälö
fr théorème isopérimétrique
he אי-שוויון איזופרימטרי
hu izoperimetrikus egyenlőtlenség
ja シュタイナー対称化
ja 等周不等式
ja 等周定理
ko 등주부등식
pl Nierówność izoperymetryczna
pt Desigualdade isoperimétrica
🔖 Identifiers · 7
- OpenAlex ID
- C140142295
- Encyclopædia Britannica Online ID
- topic/isoperimetric-problem
- Freebase ID
- /m/01w4y0
- Great Russian Encyclopedia Online ID (2017)
- 2002864
- MathWorld ID
- IsoperimetricInequality
- Microsoft Academic ID (discontinued)
- 140142295
- ScienceDirect topic ID
- mathematics/isoperimetric-inequality
🔗 Connections
Instance of 2
Maintained by WikiProject 1
Part of 1
← FactGrid item ID 1
Press Enter · cited answer in seconds
0 sources
Summary
isoperimetric inequality is a theorem[1].