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The first lemma deals with a decomposition of the distributional tail representation of GED ( v ).
As it was done in (16), we work with a decomposition of the term m−l r Nss according to the desired polyphase structure order PtoNss: m − l r N ss = m − l r N ss P to N ss P to N ss + mod ( m − l r N ss, P to N ss ).
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Section 3 is devoted to the compactness of the semigroup and the existence of global attractor, where the proof of compactness for the semigroup is with the help of a decomposition of the solution which inspired by [18, 19, 23].
To deal with it, we introduce an efficient FFT-based preconditioner which performs well in combination with Nystrom's method and a decomposition of the operator based on "flat geometry subtraction".
Thermogravimetric analysis (TGA) confirms a high thermal stability of the complex with a decomposition temperature of 341 °C.
Thermogravimetric analysis (TGA) confirms highly thermal stability of the complex with a decomposition temperature of 383.4 °C.
The new molecular design shows good thermal stability, with a decomposition temperature of 390 °C and a melting temperature of 295 °C.
Here we will show that by combining the confinement effect of ordered mesoporous silica with a decomposition step of metal nitrates in NO, silica supported nickel and cobalt oxides with a tunable particle size (2 4 nm) can be obtained at high loadings (10 20 wt%).
Features were extracted as explained in Section 5: NMF with a decomposition order of 10 was applied to the spectrograms of y1 and y2.
The numerical approach involves the solution of a boundary value problem in combination with a decomposition method of scattered wavefields.
In all of these methods, the 'db5' and 'db53' wavelets, together with a decomposition level of 3 are used in DWT-based and LSWT-based methods (including Methods 2, 4, 5, 6 and our proposed method), respectively.
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