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Proof Let θ be a function from X × X × [ 0, ∞ ) × [ 0, ∞ ) into R + satisfying (u1 - u5). From lim n p ( z, x n ) = 0, it follows by (u2) that lim n → ∞ θ ( z, z, p ( z, x n ), p ( z, x n ) ) = 0. Therefore, { x n } is a p-Cauchy sequence. □. Theorem 3.2 Let X be a complete metric space and T be a mapping from X into itself.
(1) Let be a function from into satisfying (u2)~(u2).
Let be a function from into satisfying (u2)~(u2).
Let φ be a function from X × X to Z.
Let f be a function from X to Y.
It will be a function from moments to states, and will have type.
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An intension is a function from possible worlds to extensions.
A fuzzy number is a function from to satisfying.
Assume that f is a function from A into B.
A fuzzy set in is a function from into.
where is a function from to with for every.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com