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Lemma 1 Let T be a general infinite tree with uniformly bounded degree.
Corollary 2 Let T be a general infinite tree with uniformly bounded degree.
Theorem 2 Let T be a general infinite tree with uniformly bounded degree.
Corollary 1 Let {X t, t ∈ T} be a general infinite tree T with uniformly bounded degree defined by Definition 2. Let {g t (x, y, z), t ∈ T} be a collection of uniformly bounded functions defined on G3.
Definition 2 Let T be a general infinite tree, G = {1, 2,..., N} be a finite state space, and {X t, t ∈ T} be a collection of G-valued random variables defined on the probability space ( Ω, F, P ).
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Let σ, t σ, t ≠ o, -1) be vertices of a general infinite tree with uniformly bounded degree T. Write t ≤ σ if t is on the unique path connecting o to σ, and |σ| for the number of edges on this path.
Let t(≠ o, -1) be a vertex of a general infinite tree with uniformly bounded degree T. Predecessor of the vertex t is another vertex that is nearest from t on the unique path from root -1 to t.
The CME is a generally infinite-dimensional linear differential equation.
Also, there would be an infinite number of us, doing an infinite number of things.
So there would be an infinite number of galaxies and planets in an infinite universe.
In general, for a -person bargaining game, there might be an infinite number of Pareto optimal points [15].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com