Difference between revisions of "Breaking point"
From Encyclopedia of Mathematics
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A singular point of a plane curve with the property that two branches of the curve end in it in such a way that each has a (one-sided) tangent at the point different from the other. For example, the origin is a breaking point of the curve $y=x/(1+e^{1/x})$ (see Fig.). The left and right derivatives are different at a breaking point. | A singular point of a plane curve with the property that two branches of the curve end in it in such a way that each has a (one-sided) tangent at the point different from the other. For example, the origin is a breaking point of the curve $y=x/(1+e^{1/x})$ (see Fig.). The left and right derivatives are different at a breaking point. | ||
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Latest revision as of 15:05, 23 July 2025
angle point
A singular point of a plane curve with the property that two branches of the curve end in it in such a way that each has a (one-sided) tangent at the point different from the other. For example, the origin is a breaking point of the curve $y=x/(1+e^{1/x})$ (see Fig.). The left and right derivatives are different at a breaking point.
How to Cite This Entry:
Breaking point. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Breaking_point&oldid=56082
Breaking point. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Breaking_point&oldid=56082
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article