Bernoulli's inequality
inequality that (1+x)ⁿ ≥ 1+nx for x ≥ −1 and n∈ℕ
Facts
6 properties- Instance of
- inequality, mathematical concept
- Part of
- theory of ordered fields
- Defining formula
- x \in \mathbb{R} \land x > 0 \land n \in \mathbb{N} \land n > 1 \implies (1+x)^n \geq 1+n\times x
- Described by source
- What is Mathematics?
- Maintained by WikiProject
- WikiProject Mathematics
- Named after
- Jacob Bernoulli
🏷️ Also known as
en Bernoulli's inequality
ar متباينة برنولي
cs Bernoulliho nerovnost
de Bernoullische Ungleichung
de Bernoulli-Ungleichung
de Weierstrass-Produkt-Ungleichung
de Bernoulli'sche Ungleichung
el ανισότητα Μπερνούλι
el ανισότητα Μπερνούλλι
el ανισότητα Bernoulli
es Desigualdad de Bernoulli
fa نابرابری برنولی
fa نامساوی برنولی
fi Bernoullin epäyhtälö
fr inegalite de Bernoulli
fr inégalité de Bernoulli
he אי שוויון ברנולי
he אי-שוויון ברנולי
he אי שיוויון ברנולי
hi बर्नूली असमिका
🔖 Identifiers · 9
- OpenAlex ID
- C177180624
- Freebase ID
- /m/01hsf
- Gran Enciclopèdia Catalana ID
- desigualtat-de-bernoulli
- Gran Enciclopèdia Catalana ID (former scheme)
- 0009529
- MathWorld ID
- BernoulliInequality
- Microsoft Academic ID (discontinued)
- 177180624
- Quora topic ID
- Bernoullis-Inequality
- Topic's main category
- Category:Bernoulli inequality
- Treccani's Enciclopedia della Matematica ID
- disuguaglianza-di-bernoulli
🔗 Connections
Created notable works 1
Instance of 1
Maintained by WikiProject 1
Named after 1
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Summary
Bernoulli's inequality is an inequality[1].
Key Facts
- Instance of: mathematical concept[2]
- Named after: Jacob Bernoulli[3]
- Part of: theory of ordered fields[4]
- Described by source: What is Mathematics?[5]
- Defining formula: x \in \mathbb{R} \land x > 0 \land n \in \mathbb{N} \land n > 1 \implies (1+x)^n \geq 1+n\times x[6]
- Maintained by WikiProject: WikiProject Mathematics[7]