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Let T be a normal form of S relative to ((bar{x}, bar{y})) and (U subset W).
Suppose the set of fixed points of S in W is a real analytic curve (mathcal{F}), and let T be a normal form of S relative to ((0,0)) and W.
Let Γ = ( N, ( X i ) i ∈ N, ( u i ) i ∈ N ) be a normal form game in which N is the player set, X i is the set of strategies for player i ∈ N, and u i : X → R is the utility function for player i ∈ N where X ≡ ∏ i ∈ N X i denotes the set of strategy profiles.
Children consider physical violence/abuse to be a "normal" form of discipline used by parents and relatives to punish and teach children obedience.
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"If that's the case, it's a normal form of sexuality, and that threatens people with their own fear of homosexual impulses in themselves," Dr. Wolson said.
where is a normal form, is a small perturbation.
A planar map T is a normal form of S relative to ((bar{x},bar{y})) and W if T is in normal form and there exists a real analytic change of coordinates under which ((bar{x},bar{y})) is mapped to the origin and the map S conjugates to T on W.
A potential game [23] is a normal form game wherein any change in the utility enjoyed by a given player in reaction to a unilateral (i.e., assuming that the other players do not change their strategies) change of strategy by that player is reflected by a similar change in a global function, that is usually referred to as potential function.
"A donkey is not a normal form of transportation," he said.
In [8], the authors proved the existence of invariant curves through such a fixed point under the assumption that the map is in a normal form.
One algorithm is to check whether a functional dependency is propagated from a set of XML keys via a predefined mapping; this allows one to determine whether or not the relational design is in a normal form.
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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