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Let F : T → S be a map given by F ( x ) ( n ) = x n + y n.
Let Y be a metric space and let Id Y : Y → Y be a map given by formula Id Y (y) = y for each y ∈ Y. Definition 2.5.
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Let (f:mathbb {D}to mathbb {D}) be a mapping given by (f(re^{itheta})=re^{i varphi r,theta)}), where (varphi r,theta)= theta e^{(theta -2pi r}).
It is easy to see that if we let F X×X→Y be a mapping satisfying Equation 2 and r:X→Y be a mapping given by r ( x ) = F ( x, x ), Open image in new window.
Let ( U, E ) be a soft universe and A ⊆ E. A pair I = ( F ˜, A ) is called an interval-valued fuzzy soft set over U, where F ˜ is a mapping given by F ˜ : A → I ( U ).
Let P ( X ) denote the power set of X and A be a non-empty subset of E. A pair ( F, A ) is called a soft set over X, where F is a mapping given by F : A → P ( X ).
Let A ⊆ E. A pair ( F, A ) is called a soft set over U, where F is a mapping given by F : A → P ( U ), where E is the set of parameters.
And the result was a map that gives Republicans almost a 60percentt majority, even if they were less than 50percentt of the vote.
Let be a mapping, let be a given Fréchet differentiable -convex functional, and let be a given positive real number.
Let ((X,d)) be a metric space, (T:X rightarrow X) be a mapping and (varepsilon>0) be a given real number.
Let be a given map.
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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