Sentence examples for be a generalized probabilistic from inspiring English sources
A map (f:X to X) is said to be a generalized probabilistic G-contraction if and only if the following conditions are satisfied: (1) f preserves edges of G, i.e. ((x,y in E G Longrightarroww(fx,fy)in E G)); (2) there exists (phiinPhi_{w}) such that F_{fx,fy}bigl phi(t bigr) geqminbigl{ F_{x,y}(t),F_{x,fx}(t),F_{y,fy}(t) bigr} (2.1) for all (x,yin X) with ((x,y in E G)) and all (t>0). .
Suppose that a map (f:Xto X) is a generalized probabilistic G-contraction.
As opposed to PAs, the edges in a graph that represents our automaton are labeled with words rather than with letters, and thus it can be named a generalized probabilistic automaton, analogously to the definition of generalized HMM [ 44].
The new representation greatly expands the class of problems amenable to be solved probabilistically, and was used successfully to develop a generalized probabilistic domain decomposition method.
In this work, we present and examine the multi-element probabilistic collocation method (ME-PCM), which is a generalized form of the probabilistic collocation method.
Then, the generalized nth order stochastic perturbation technique is incorporated with the edge-based S-FEM to formulate a generalized probabilistic ES-FEM framework (GP_ES-FEM).
For example, Chiribella-D'Ariano-Perinotti [2011] and Rau [2011], working in a generalized probabilistic framework, make use of postulates relating measurements to dynamics.
Now we prove the following generalized contraction mapping principle in the S-probabilistic metric spaces which is a generalized form of the result in [18].
And one is a generalized conspiracy count.
There's a generalized resistance to higher taxes.
