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2. Inflection point - Wikipedia

   en.wikipedia.org/wiki/Inflection_point

   A rising point of inflection is a point where the derivative is positive on both sides of the point; in other words, it is an inflection point near which the function is increasing. For a smooth curve given by parametric equations , a point is an inflection point if its signed curvature changes from plus to minus or from minus to plus, i.e ...

3. Serpentine curve - Wikipedia

   en.wikipedia.org/wiki/Serpentine_curve

   Print/export Download as PDF; Printable version; In other projects Wikidata item; Appearance. ... The curve has an inflection point at the origin.

4. Curve fitting - Wikipedia

   en.wikipedia.org/wiki/Curve_fitting

   Low-order polynomials tend to be smooth and high order polynomial curves tend to be "lumpy". To define this more precisely, the maximum number of inflection points possible in a polynomial curve is n-2, where n is the order of the polynomial equation. An inflection point is a location on the curve where it switches from a positive radius to ...

5. Involute - Wikipedia

   en.wikipedia.org/wiki/Involute

   There are generically two types of cusps in involutes. The first type is at the point where the involute touches the curve itself. This is a cusp of order 3/2. The second type is at the point where the curve has an inflection point. This is a cusp of order 5/2.

6. List of mathematical properties of points - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical...

   Antipodal point, the point diametrically opposite to another point on a sphere, such that a line drawn between them passes through the centre of the sphere and forms a true diameter; Conjugate point, any point that can almost be joined to another by a 1-parameter family of geodesics (e.g., the antipodes of a sphere, which are linkable by any ...

7. Linear approximation - Wikipedia

   en.wikipedia.org/wiki/Linear_approximation

   Linear approximations in this case are further improved when the second derivative of a, ″ (), is sufficiently small (close to zero) (i.e., at or near an inflection point). If f {\displaystyle f} is concave down in the interval between x {\displaystyle x} and a {\displaystyle a} , the approximation will be an overestimate (since the ...