Search results
Results from the WOW.Com Content Network
It is also strongly convex (and hence strictly convex too), with strong convexity constant 2. The function () = has ″ =, so f is a convex function. It is strictly convex, even though the second derivative is not strictly positive at all points. It is not strongly convex.
In mathematics, the modulus of convexity and the characteristic of convexity are measures of "how convex" the unit ball in a Banach space is. In some sense, the modulus of convexity has the same relationship to the ε-δ definition of uniform convexity as the modulus of continuity does to the ε-δ definition of continuity.
Convection (or convective heat transfer) is the transfer of heat from one place to another due to the movement of fluid. Although often discussed as a distinct method of heat transfer, convective heat transfer involves the combined processes of conduction (heat diffusion) and advection (heat transfer by bulk fluid flow ).
Pages for logged out editors learn more. Contributions; Talk; Strong convexity
In mathematics, a strictly convex space is a normed vector space (X, || ||) for which the closed unit ball is a strictly convex set. Put another way, a strictly convex space is one for which, given any two distinct points x and y on the unit sphere ∂ B (i.e. the boundary of the unit ball B of X ), the segment joining x and y meets ∂ B only ...
Strictly logarithmically convex if is strictly convex. Here we interpret log 0 {\displaystyle \log 0} as − ∞ {\displaystyle -\infty } . Explicitly, f is logarithmically convex if and only if, for all x 1 , x 2 ∈ X and all t ∈ [0, 1] , the two following equivalent conditions hold:
Cooking With Convection Since convection ovens work so fast, the foods don't have to be cooked for as long a time as in conventional ovens. Plus the temperature can be set lower, at about 25 ...
We are also given differentiable convex function :, -strongly convex with respect to the given norm. This is called the distance-generating function , and its gradient ∇ h : R n → R n {\displaystyle \nabla h\colon \mathbb {R} ^{n}\to \mathbb {R} ^{n}} is known as the mirror map .