Definition

1. Proper noun:
   • A surname of a prominent Swiss family of mathematicians and scientists, particularly referring to three notable members: Jacob (Jacques) Bernoulli (1654-1705), Johann (Jean) Bernoulli (1667-1748), and Daniel Bernoulli (1700-1782). The name is often used in the context of their foundational contributions to calculus, probability theory, fluid dynamics, and mathematical physics.

Usage Examples

• Proper noun:
  • The Bernoulli principle in fluid dynamics is named after Daniel Bernoulli.
  • Jacob Bernoulli is famous for his work on the calculus of variations and the Bernoulli numbers.
  • The rivalry between Johann Bernoulli and his brother Jacob is well-documented in the history of mathematics.

Advanced Usage

• "Bernoulli" as an attributive noun: Used adjectivally to name scientific concepts, equations, or distributions derived from their work.
  • The Bernoulli equation is fundamental to understanding fluid flow.
  • A Bernoulli trial is a basic random experiment in probability theory.

Variants and Related Words

• Bernoullian (adj): Pertaining to or characteristic of the work of the Bernoulli family.
  • The solution has a distinct Bernoullian form.

Related Scientific Terms

• Bernoulli's Principle: A principle in fluid dynamics stating that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure.
• Bernoulli Distribution: In probability theory, a discrete distribution having two possible outcomes (e.g., success/failure).
• Bernoulli Numbers: A sequence of rational numbers important in number theory and analysis, discovered by Jacob Bernoulli.
• Bernoulli Equation: The specific form of the energy conservation equation for fluid flow derived by Daniel Bernoulli.

Noun

1. Swiss mathematician (1654-1705)
2. Swiss mathematician (1667-1748)
3. Swiss physicist who contributed to hydrodynamics and mathematical physics (1700-1782)