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Everything about Inflection point
Point where the curvature of a curve changes sign
In differential calculus and differential geometry, an inflection point, point of inflection, flex, or inflection 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 to convex, or vice versa. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Inflection pointA 5-minute orientation
- Skim a recent paper: Gaussian Inflection Point Selection for LiDAR Hidden Echo Signal DecompositionInfluential work since 2022
- Pick up a classic book: European Union at an Inflection PointThe most-reprinted book on the subject
- Read the landmark paper: Precision medicine: Beyond the inflection pointCited 102 times
- Go sideways: Stationary pointA closely related topic
- Go sideways: Critical point (mathematics)A closely related topic
📖 Definitions
Noun A point of inflection.
Noun Synonym of turning point.
🏆 Landmark papers (most cited)
Precision medicine: Beyond the inflection point
Gravitational waves from double-inflection-point inflation
Inflection point inflation within supersymmetry
Attraction towards an inflection point inflation
Inflection point: a perspective on photonic nanojets
Coefficient of Consolidation by Inflection Point Method
Inflection point inflation and reheating
Second inflection point of water surface tension
🆕 Influential since 2022
Gaussian Inflection Point Selection for LiDAR Hidden Echo Signal Decomposition
Finding global minima with an inflection point-based filled function algorithm
Inflection point of coupled quintessence
Inflection-point inflation and dark matter redux
If Machines Exceed Us: Health Care at an Inflection Point
📚 Books worth reading
- 📕European Union at an Inflection PointAlasdair Young · 2017
Seeing Around CornersRita McGrath, Clayton M. Christensen · 2019
Vertical Option SpreadsCharles Conrick, Scott Hanson · 2013- 📕Getting Innovation RightSeth Kahan · 2013
- 📕Twists and TurnsRandell Jones · 2022
- 📕Humanity's Inflection PointSydney L. Herrera · 2023
Inflection PointJohn G. Hartness, James Anderson Foster · 2019- 📕Bott Inflection PointJohn P. Bott Ii · 2013
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Stationary point In mathematics, particularly in calculus, a stationary point of a differentiable function of one variable is a point on the graph of the function where…
- Critical point (mathematics) In mathematics, a critical point is the argument of a function where the function derivative is zero (or undefined, as specified below). The value of the…
- Saddle point In mathematics, a saddle point or minimax point is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions…
- Second derivative In calculus, the second derivative, or the second-order derivative, of a function f is the derivative of the derivative of f. Informally, the second derivative…
- Tangent In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at…
- Cubic function In mathematics, a cubic function is a function of the form f(x)=ax3+bx2+cx+d, with a≠0, that is, a polynomial function of degree three. In many texts…
- Curvature In mathematics, curvature is any of several strongly related concepts in geometry that intuitively measure the amount by which a curve deviates from being…
- Interior extremum theorem In calculus and real analysis, the interior extremum theorem states that any local extremum of a real function at which it is differentiable is a stationary…