bernoulli
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Definition
- 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
- Swiss mathematician (1654-1705)
- Swiss mathematician (1667-1748)
- Swiss physicist who contributed to hydrodynamics and mathematical physics (1700-1782)