V2 June 2014. To say that the subject of VTE prophylaxis in orthopaedic surgery is a thorny issue may be understating the case. Debate and difference of opinion is something which is part and parcel of orthopaedic surgery and one of the many. components that makes this specialty fascinating.
Note that just monotonic transformation of a concave function isnot necessarily concave: consider, for example f (x) = x and g (z) = z 3 .Thus the concavity of a function is not ordinal, it is cardinal property.Economic ExampleSuppose production function f (x) is concave and the cost function c (x) is convex.ote that just monotonic transformation of a concave function isnot necessarily concave: consider, for example f (x) = x and g (z) = z 3 .Thus the concavity of a function is not ordinal, it is cardinal property.Economic ExampleSuppose production function f (x) is concave and the cost function c (x) is convex.
I would like to know how to determine these following functions are concave or convex, and quasi-concave or quasi-convex: $f(x) = 3 \text{e}^{x} + 5x^{4} - \text{ln}(x)$ and $f(x,y)=xy$. Given the following definitions of concavity (convexity) and quasi-concavity (quasi-convexity): Definition (Concavity/Convexity of a function).