Bernoulli
Swiss mathematics dynasty
Bernoulli is a Swiss family name associated with several mathematicians and scientists who made foundational contributions to calculus, probability, and fluid dynamics.
The Bernoulli principle describes how faster-moving fluid exerts lower pressure—the phenomenon that helps explain airplane lift: The Bernoulli effect keeps the plane airborne.
Bernoulli distributions and Bernoulli trials appear in probability theory, describing experiments with exactly two outcomes.
Force upon contact
- velocityDirected rate of motion
- airflowMovement of atmosphere
- liftMechanism for vertical transport
- streamlineRemove unnecessary elements
pipe · venturi · incompressible · aerodynamics · hydrodynamics · conservation · energy · flow rate
Mathematical equality assertion
- theoremDemonstrated logical conclusion
- principleFundamental truth or standard
- calculusMathematical analysis system
- differentialRelative difference between things
numbers · polynomials · inequality · sequence · Jacob · Johann · Daniel · Swiss
Allocation across recipients
- trialsFormal legal proceedings
- randomOccurring without pattern
- independentFree from external control
- successFavorable outcome attained
failure · binary · outcome · likelihood · experiment · parameter · variance · sampling
Point of beginning
- clustersGrouped collections
- latticeOpenwork of crossed strips
- connectivityState of being linked
- phase transitionMatter shifting between states
critical · probability · bond · site · network · spanning · porosity · conductivity
pressure
Force upon contact
streamline · pipe · venturi · incompressible · aerodynamics · hydrodynamics · conservation · energy · flow rate · wing
equation
Mathematical equality assertion
- theoremDemonstrated logical conclusion
- principleFundamental truth or standard
- calculusMathematical analysis system
differential · numbers · polynomials · inequality · sequence · Jacob · Johann · Daniel · Swiss · Basel
distribution
Allocation across recipients
- trialsFormal legal proceedings
- randomOccurring without pattern
- independentFree from external control
success · failure · binary · outcome · likelihood · experiment · parameter · variance · sampling · stochastic
threshold
Point of beginning
- clustersGrouped collections
- latticeOpenwork of crossed strips
- connectivityState of being linked
phase transition · critical · probability · bond · site · network · spanning · porosity · conductivity · filtration
- MathematiciansEuclid, Gauss, Euler, Archimedes, Pythagoras
- Baroque Era FiguresDescartes, Spinoza, Leibniz, Locke, Hobbes
- Early MathematiciansEuler, Fermat, Pascal, Leibniz, Newton
- Early Sciencescientific revolution, scientific method, experimental method, Boyle, Harvey
- Enlightenment ScienceLavoisier, Linnaeus, Euler, Laplace, Franklin
- Swiss FiguresJean-Jacques Rousseau, Jean Piaget, Carl Jung, John Calvin, Roger Federer
Bernoulliturbulent flow
Irregular, swirling fluid dynamics
Newton · Reynolds · Euler · d'Alembert · Laplace
- Bernoulli numbersRational sequence in analysis
- Bernoulli's principleVelocity-pressure inverse relationship
- Bernoulli effectFaster fluid means lower pressure