For example, in theoretical computer science, least fixed points of monotone functions are used to define program semantics. LASER-wikipedia2 - the braking force acts in the same direction as the action on the control (monotonic function), EurLex-2 Temperature is a monotonic function of the...
adjective of a sequence or function; consistently increasing and never decreasing or consistently decreasing and never increasing in value synonyms: monotonic decreasing monotonic consistently decreasing increasing monotonic consistently increasingCite this entry Style: MLA "Monotone." Vocabulary.com Dictio...
This paper will present general methods for constructing secret sharing schemes for any given secret sharing function. There is a natural correspondence between the set of "generalized" secret sharing functions and the set of monotone functions, and tools developed f or simplifying the latter set ...
For an arbitrary function U:Cb→R, its conjugate function U¯:Cb→R is given by U¯(f):=−U(−f) for all f∈Cb. Then we obtain the following corollary. Corollary 2.3 Let U:Cb→R be monotone. Then the following are equivalent: (i) U is continuous from above. (ii) U is...
5. In the second part, we create a new method in comparing the limit set ω with some special fixed point p and construct an integer-valued function M. Using such a function, we first prove the convergence to fixed point for subhomogeneous and monotone discrete-time dynamical system, and ...
In statistical modeling of computer experiments sometimes prior information is available about the underlying function. For example, the physical system simulated by the computer code may be known to be monotone with respect to some or all inputs. We develop a Bayesian approach to Gaussian process ...
A gate becomes superfluous for example if at least one of the two inputs has become a constant function. (2) The function which is computed by the network after we have fixed tkese variables is a function hi :(0, l}i -) (0, l}i cd the same struct...
Moreover, if is transitive and is an arbitrary function, then every increasing, continuous, and surjective solution of (1.1) is homeomorphic (see [4]). We will show (Example 3.7) that if we omit the assumption of the transitivity of , then such a solution needs not to be injective even...
One example of a monotonically increasing series is the series where anequals We can tell that this series is steadily increasing if we let anbe represented by afunctionf(n). Then we will want to take thatfunction’sderivative, and get ...
Example 7.6 (Robust Entropic Risk Functions). Let l(x) = ex. Then ϕl,P is the entropic one, and the associated Young function is Φexp(x) = ex − 1. In this case, we have MuΦexp(P) = MΦexp (P), thus Muϕˆl,P = Mϕˆl,P . Indeed, by Hölder's ...