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We also prove that some unimodular wavelets yield unconditional bases in Lp(?).
      
The same technique of proof is also applied to yield an existence result for A-dilation MRA subspace wavelets.
      
In most applications, it is this overcompleteness that is exploited to yield a decomposition that is more stable, more robust, or more compact than is possible using nonredundant systems.
      
This article shows that those abstract results yield an array of new implications for irregular Gabor frames.
      
The base-catalyzed condensation of thioureas (1-3a-i) with acetone was carried out in the presence of bromine to afford the corresponding 1-(isomeric methyl) benzoyl-3-aryl-4-methyl-imidazole-2-thiones (4-6a-i) in good yield.
      
The model developed against chloroquine-resistant malaria parasites was found to yield the best predictions among the three models.
      
Subsequent hydrolysis of the esters afforded the corresponding carboxylic acids (3a-l) (86-93%) and (5a-c) in high yield (80-93%).
      
The convergence rate of the standard method is just half order of this penalty method when using the same penalty parameter, while the extrapolation method proposed by Faik et al can not yield so high accuracy of convergence.
      
H4SiW12O40-PAn is an excellent catalyst for synthesizing n-butyraldehyde 1,2-propanediol acetal, and the yield can reach more than 95.2%.
      
The yield of glutaric dialdehyde by this method can reach 73%.
      
The yield of the final product was 78%, and the melting point was 231-233°C.
      
Photochemical reaction of C60 with iminodiacetic ester (NH(CH2COOR)2, R=Me, Et, t-Bu) produced fulleropyrrolidine derivatives 2 in a 55%-36% yield (based on consumed C60).
      
Fulleropyrrolidine derivative 2 (R=Me) were hydrolyzed with NaH and methanol in toluene, and then acidified with HCl to result in the corresponding fulleropyrrolidine dicarboxylic acid 3 in a 65% yield (relative to fulleropyrrolidine derivative 2).
      
The overall yield for the third generation dendrimer 5 from Schlüter dendron is 12%.
      
Oxidized porous silicon with the large surface area as the solid phase matrix for absorption of DNA from a biological sample can greatly improve the DNA yield.
      
The factors that could affect the DNA yield were analyzed and the preparation technology and the experiment procedure were improved.
      
The DNA purification process from the rat peripheral blood can be achieved and the DNA yield is 24 ng/(μL whole blood), which can reach the level of the commercial DNA purification kits.
      
Effect of the reaction time, mole ratio of reactants, and amount of catalyst on the yield of benzodioxoles were investigated.
      
The starting material used abroad is expensive and the yield is low (16%-28%); furthermore, to our best knowledge, no characterization of Compound A is available in the open literature.
      
We now use low-cost L-lysine as starting material, succeed in raising the yield of Compound A to about 66%, and characterize it.
      
 

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