Definitions for inflection point
in·flec·tion point

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1. inflection pointnoun

   a point of inflection

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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.

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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.

How to pronounce inflection point?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say inflection point in sign language?

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. 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.

2. Mae Hazelton:

   We are in an inflection point in this country and it is painful. Commissioner Campione, I heard the pain in your voice this morning. Thank you, but nothing is as painful as staying at a point where you know that's not who we are.

3. Riki Wilchins:

   We are at a social inflection point on transgender issues, civil rights for minorities come in fits and starts. We're on an upswing now.

4. Michael Daniel:

   The summit is really an opportunity for us to take stock of where we've been and where we need to go, since we are very much at an inflection point in terms of ensuring we can continue to have cyber space be a strategic for the United States.

5. President Biden:

   I believe we're at an inflection point in this country, one of those moments where the decisions we're about to make can change -- literally change -- the trajectory of our nation for years and possibly decades to come.

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Inflection_Point
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Inflection_Point
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=inflection point