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# critical point

[ krit-i-kuhl point ]

/ ËkrÉȘt ÉȘ kÉl ËpÉÉȘnt /

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noun

Physics. the point at which a substance in one phase, as the liquid, has the same density, pressure, and temperature as in another phase, as the gaseous: The volume of water at the critical point is uniquely determined by the critical temperature.

Mathematics.

- (of a function of a single variable) a point at which the derivative of the function is zero: One critical point, at x = 0, is a decreasing function for positive x.
- (of a function of several variables) a point at which all partial derivatives of the function are zero: Find and classify all the critical points of the given function.

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## Origin of critical point

First recorded in 1875â80

## Words nearby critical point

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, Â© Random House, Inc. 2022

## How to use critical point in a sentence

## British Dictionary definitions for critical point

critical point

noun

physics

- the point on a phase diagram that represents the critical state of a substance
- another name for critical state

maths the US name for stationary point

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Â© William Collins Sons & Co. Ltd. 1979, 1986 Â© HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for critical point

critical point

Physics The temperature and pressure at which the liquid and gaseous phases of a pure substance become unstable and fluctuate locally within the substance. The critical point of water is at a temperature of 374Â°C (705.2Â°F) and a pressure of 218 atmospheres, at which point it becomes opaque. Compare triple point.

Mathematics

- A maximum, minimum, or point of inflection of a curve.
- A point at which the derivative of a function is zero, infinite, or undefined.

The American HeritageÂź Science Dictionary
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