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This requires the definition of an appropriate admissibility condition such that the arising kernel functions can be efficiently approximated on admissible blocks.
Eq. 2. The wavelet admissibility condition.
C ψ <∞ is called the admissibility condition of the LCWT which coincides with the admissibility condition defined in WT.
From (2.5), we see that the admissibility condition for ϕ ∈ Φ L ′ [ Ω, q ] is equivalent to the admissibility condition for ψ as given in Definition 1.2.
This condition is known as an admissibility condition for the wavelet.
In this analysis, the Dabachi wavelet 6 was used which satisfied the admissibility condition (Eq. 4).
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Such weight clearly satisfies the admissibility conditions of Definition 1.1.
It is easy to see that such a weight satisfies the admissibility conditions of Definition 1.1.
We propose new entropy admissibility conditions for multidimensional hyperbolic scalar conservation laws with discontinuous flux which generalize one-dimensional Karlsen Risebro Towers entropy conditions.
It is based on new admissibility conditions of singular fractional-order systems expressed in a set of strict Linear Matrix Inequalities (LMI s).
The geometric admissibility conditions of the principle of minimum total potential energy are satisfied by representing the assumed displacement pattern by a polynomial function.
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