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There exists the left composita for every left composita and there exists the right composita for every right composita.
For every (left or right) vertex in the bipartite graph, all the code symbols associated with the edges incident on the vertex satisfy a linear constraint (over (mathbb {F}_{q})).
A subset C is said to verify the fixed point property for left reversible semigroups if for every left reversible semitopological semigroup S and for every nonexpansive action (phi Stimes Cto C), the set (operatorname{Fix}(S) := {uin C: t u)= u,forall tin S}) is nonempty.
Let (X) be a nonempty set and let the probabilistic metric (or distance) (F, :X times X to L) a symmetric mapping from (X times X), where (X) is an abstract set, to the set of distance distribution functions (L) of the form (H:{mathbf{R}} to left[ {,0,1} right]) which are functions of elements (F_{x, y}) for every (left( {x,y}} right) quad in X times X).
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For every left-handed-shooting Wayne Gretzky, there is a right-handed-shooting Mario Lemieux.
For every left-leaning college student, the Republicans can argue, there is an absentee ballot coming in from an aged retiree who is sticking with President Bush.
A function f : T ⟶ X is called right dense continuous, or just rd-continuous, if (i) f is continuous at every right-dense point t ∈ T ; (ii) lim s ⟶ t − f ( s ) exists (finite) for every left-dense point t ∈ T. .
A function f : [ a, b ] T → R m is rd-continuous in [ a, b ] T if f is continuous at every right-dense point of [ a, b ] T and there exists f ( t − ) for every left-dense point t ∈ [ a, b ] T (see e.g. [22]).
f is continuous at every right-dense point t ∈ T ; lim s ⟶ t − f ( s ) exists (finite) for every left-dense point t ∈ T. The set of rd-continuous functions f : T ⟶ X will be denoted by C rd = C rd ( T ) = C rd ( T, X ).
Given a submodule I of Mod k ⟨ X ⟩ ⟨ Y ⟩ and a monomial ordering < on X ∗ Y as above, there exists a unique reduced Gröbner Shirshov basis S for I. (Cohn) Every left ideal I of k ⟨ X ⟩ is a free left k ⟨ X ⟩ -module.
In her short, but immensely successful, career she has been nominated for the Orwell prize and has written for pretty much every left-leaning British publication.
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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