critical point

[ krit-i-kuhl point ]
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noun
  1. 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.

  2. 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.

Origin of critical point

1
First recorded in 1875–80

Words Nearby critical point

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2024

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British Dictionary definitions for critical point

critical point

noun
  1. physics

    • the point on a phase diagram that represents the critical state of a substance

    • another name for critical state

  2. maths the US name for stationary point

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

Scientific definitions for critical point

critical point

  1. 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 374°C (705.2°F) and a pressure of 218 atmospheres, at which point it becomes opaque. Compare triple point.

    • 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 Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.