Dec 21, 2020 · Our definition of concave up and concave down is given in terms of when the first derivative is increasing or decreasing. We can apply the results of the previous section and to find intervals on which a graph is concave up or down.

Look up concave or concavity in Wiktionary, the free dictionary. Concave or concavity may refer to:

Spherical mirrors, including concave and convex mirrors, create real and virtual images by directing parallel rays to or from a focal point.

Concave means "hollowed out or rounded inward" and is easily remembered because these surfaces "cave" in. The opposite is convex meaning "curved or rounded outward." Both words have been around for centuries but are often mixed up.

In mathematics, a concave function is one for which the function value at any convex combination of elements in the domain is greater than or equal to that convex combination of those domain elements. Equivalently, a concave function is any function for which the hypograph is convex.

According to Euclidean geometry, a triangle can never be concave, but there exist concave polygons with n sides for any n > 3. An example of a concave quadrilateral is the dart.

Jul 13, 2021 · Concave means “curving inward” or “hollow and curved,” like the inside of a bowl, or, more technically, the inside of a partial sphere. A crater is roughly concave.

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Nov 16, 2022 · So, a function is concave up if it “opens” up and the function is concave down if it “opens” down. Notice as well that concavity has nothing to do with increasing or decreasing.

The shear elasticity of the membrane prevents folding, but may cause the formation of sharp corners and concave regions along the cell contour.