critical point

American  

[krit-i-kuhl point] / ˈkrɪt ɪ kəl ˈpɔɪnt /

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.

   1. (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.

   2. (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.

---

critical point British  

noun

1. physics

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

   2. another name for critical state

2. maths the US name for stationary point

---

critical point Scientific  

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.

2. Physics Compare triple point

3. Mathematics

   1. A maximum, minimum, or point of inflection of a curve.

   2. A point at which the derivative of a function is zero, infinite, or undefined.

---

Etymology

Origin of critical point

First recorded in 1875–80

Example Sentences

In that framework, “bubbles” are defined as prices that accelerate super-exponentially toward a critical point, with oscillations that become more frequent as the “bubble” matures.

From MarketWatch

A familiar physical example appears at the critical point of water, defined by a precise temperature and pressure at which liquid water and water vapor become indistinguishable.

From Science Daily

Some critical points to check on: Who can access the data?

From The Wall Street Journal

His unexpected coronation, coming at the most critical point of USC’s season, is part of why the Trojans could be just two wins away from their first playoff bid.

From Los Angeles Times

The area around Lake Naivasha is being "invaded" by people, he said bluntly, leading to costly relocations when a "critical point" is reached.

From Barron's

Related Words

• turning point