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Let be the state space at time,.
Let S and A be the state space and action space, respectively.
Let be the state space at time (stage) for the th mobile node which represents the set of directions that the th mobile node can move at time.
Put more technically, the state space of an elementary system must not contain any relativistically invariant subspaces, i.e., it must be the state space of an irreducible representation of the relevant invariance group.
Example 3.2 Let X = Y = R be a Banach space endowed with the standard norm ∥ ⋅ ∥ defined by ∥ x ∥ = | x |, for all x ∈ X. Suppose W = [ 0, 1 ] ⊂ X be the state space, and D = [ 0, ∞ ) ⊂ Y be the decision space.
Let Ω t,t=0,1,…,n, be the state space which has m + t t. possible states, Γ n ={0,1,…,n} be an index set, and {Z t :t∈Γ n } be a non-homogeneous Markov chain on the state space Ω t.
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That is, the state space - the trajectory at a project onset - changes along the project life in an unpredictable way.
However, the drawback for many real and complex systems is the state space explosion in which model checking cannot generate all the possible states.
Unfortunately, one major problem of model checking is the state space explosion if too many objects have to be taken into account.
In this section, we assume that and are real Banach spaces, is the state space, and is the decision space.
In this case, S equals {G, P} that is the state space of macro-state.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com