Examples
- The functions and are concave, as the second derivative is always negative.
- Any linear function is both concave and convex.
- The function is concave on the interval .
- The function, where is the determinant of a nonnegative-definite matrix B, is concave.
- Practical example: rays bending in Computation of radiowave attenuation in the atmosphere.
Read more about this topic: Concave Function
Famous quotes containing the word examples:
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (1688–1744)
“It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
—G.C. (Georg Christoph)
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (1670–1733)