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"Topologically equivalent," or homeomorphic, means that there exists a continuous one-to-one mapping, which is a generalization of the concept of a function, between two sets.
Assume that is another Banach space, such that there exists a continuous one-to-one mapping.
There exists a continuous impulse mapping (I: I(M =N).
(i) There exists a continuous function : such that (2.19).
Suppose that there exists at least one essential component of S 1 ( y ) for each y ∈ Y, and there exists a continuous single-valued mapping T Z Z → Y such that S 2 ( z ) ⊃ S 1 ( T ( z ) ) for each z ∈ Z. Then there exists at least one essential component of S 2 ( z ) for each z ∈ Z. Lemma 3.5 ([27]).
(Hkl Suppose there exists a continuous function such that.
There exists a continuous function (d(t geq0) for a.e.
For, is completely continuous and there exists a continuous nondecreasing function such that for each, (2.18).
Suppose that there exists a continuous mapping T Z Z → U such that G ( z ) ⊃ F ( T ( z ) ) for each z ∈ Z. Furthermore, suppose that there exists at least one essential component of F for each φ ∈ U. Then there exists at least one essential component of G ( z ) for each z ∈ Z.
It's a sporadic entertainment disguised as a continuous one.
It's an old one, a continuous one and a non-linear one.
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CEO of Professional Science Editing for Scientists @ prosciediting.com