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.
A function is called strictly concave if. for any t in (0,1) and x â  y. For a function f: R â R, this definition merely states that for every z between x and y, the point (z, f (z)) on the graph of f is above the straight line joining the points (x, f (x)) and (y, f (y)). Any affine function is both (non-strictly) concave and convex. 2  The sine function is concave on the interval. 3  The function, where is the determinant of a nonnegative-definite matrix B, is concave. 4  Practical example: rays bending in computation of radiowave attenuation in the atmosphere.
Two facts about these functions are: 1  if is a monotonic function defined on an interval, then is differentiable almost everywhere on, i.e. the set of numbers in such that is not differentiable in has Lebesgue measure zero.2  In addition, this result cannot be improved to countable: see Cantor function.f the order in the definition of monotonicity is replaced by the strict order, then one obtains a stronger requirement. A function with this property is called strictly increasing. Again, by inverting the order symbol, one finds a corresponding concept called strictly decreasing.