What does inflection point mean?

Definitions for inflection point
in·flec·tion point

This dictionary definitions page includes all the possible meanings, example usage and translations of the word inflection point.

Wiktionary

  1. inflection pointnoun

    a point of inflection

Wikipedia

  1. Inflection point

    In differential calculus and differential geometry, an inflection point, point of inflection, flex, or inflection (British English: inflexion) is a point on a smooth plane curve at which the curvature changes sign. In particular, in the case of the graph of a function, it is a point where the function changes from being concave (concave downward) to convex (concave upward), or vice versa. For the graph of a function of differentiability class C2 (f, its first derivative f', and its second derivative f'', exist and are continuous), the condition f'' = 0 can also be used to find an inflection point since a point of f'' = 0 must be passed to change f'' from a positive value (concave upward) to a negative value (concave downward) or vice versa as f'' is continuous; an inflection point of the curve is where f'' = 0 and changes its sign at the point (from positive to negative or from negative to positive). A point where the second derivative vanishes but does not change its sign is sometimes called a point of undulation or undulation point. In algebraic geometry an inflection point is defined slightly more generally, as a regular point where the tangent meets the curve to order at least 3, and an undulation point or hyperflex is defined as a point where the tangent meets the curve to order at least 4.

Wikidata

  1. Inflection point

    In differential calculus, an inflection point, point of inflection, flex, or inflection is a point on a curve at which the curvature or concavity changes sign from plus to minus or from minus to plus. The curve changes from being concave upwards to concave downwards, or vice versa. If one imagines driving a vehicle along a winding road, inflection is the point at which the steering-wheel is momentarily "straight" when being turned from left to right or vice versa. A point where the curvature vanishes but does not change sign is sometimes called a point of undulation or undulation point. In algebraic geometry an inflection point is defined slightly more generally, as a point where the tangent meets the curve to order at least 3, and an undulation point or hyperflex is defined as a point where the tangent meets the curve to order at least 4.

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Numerology

  1. Chaldean Numerology

    The numerical value of inflection point in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of inflection point in Pythagorean Numerology is: 1

Examples of inflection point in a Sentence

  1. Lloyd Green:

    Acosta acknowledges Trumps working-class base and captures the shock that reverberated with his upset win. But he fails to place the rage and resentment in the larger context of how America and the west reached this inflection point, acosta should address all this after he tacitly cops to acting like an advocate or editorialist, as opposed to simply reporting breaking news or calling balls and strikes. In his words : Neutrality for the sake of neutrality doesnt really serve us in the age of Trump.

  2. Ehud Barak:

    We are going through an inflection point to dramatically scale up production, there is an urgent need to provide a pain killer which has almost no side effects.

  3. Jason Gammel:

    We do believe that oil market fundamentals are at an inflection point. Non-OPEC supply will grow by over 2 million bpd in 2020, while demand growth is weak, the OPEC+ decision to extend production cuts should be sufficient to draw down OECD inventories through the end of the year, but these cuts will need to be extended through 2020 just to keep the oil market near balance.

  4. Bill Dubinsky:

    The insurance-linked securities market is at an inflection point, despite the continued downward pressure on reinsurance rates, investor appetite remains strong and we've seen net new capital come into the re/insurance arena during 2015.

  5. Andrew Frick:

    Fourth quarter represented an inflection point at Ford in our transition from cars to a much greater focus on iconic trucks, SUVs and electric vehicles, we are well positioned to see the benefits of our focused efforts throughout 2021.

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"inflection point." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/inflection+point>.

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