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First he constructed a function, now known as the horseshoe, that serves as a paradigm for chaos.
So for each positive integer N, we have constructed a function f and operators (A_1), (A_2), B such that (|f|le {text {const}},), ({text {supp}}{mathscr {F}}fsubset [-2pi,2pi ]^2), (Vert A_1-A_2Vert _{varvec{S}}_pp}=N^{frac{1}{p}}) and (Vert f(A_1,B -f(A_1,B -frt _{{vA_2,B Vertp}=sqrt{N}). It remains to observe that (lim _{Nrightarrow infty }N^{varvec{S}}_prac{1}=sqrt{N}ty ) for (p>2).
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By 2008, the LTTE had constructed a functioning state in the north of the country, with its own banks, police, civil service, and armed forces.
We construct a function by (3.3).
For applying Lemma 3.3, we construct a function via (41).
We construct a function with, in which case the conclusions of our Proposition 3.4 trivially apply.
In this paper, two factors of price and closeness have been considered to construct a function for customer's utility.
We will construct a function (L t)) (see Section 3) which is different from that in [2, 5, 17, 26].
At first, we construct a function f(t) as follows f ( t ) = x ( t ), t ∈ [ a, b ] ; - x ( 2 a - t ), t ∈ [ 2 a - b, a ].
We have shown how to construct a function to map a concept's similarity position to its concept vector by embedding the concept space into a Euclidean space.
By the same idea of [[4], p.6] we construct a function T : X → P ( X ), which is S K C and has a fixed point.
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