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We present here a self-contained derivation, building the decomposition from basic principles such as the Euclidean algorithm, with a focus on applying it to wavelet filtering.
      
Duality principles in Gabor theory such as the Ron-Shen duality principle and the
      
Related fundamental principles in Gabor analysis are also surveyed, including the Wexler-Raz biorthogonality relations, the Duality Principle, the Balian-Low Theorem, the Walnut and Janssen representations, and the Homogeneous Approximation Property.
      
Increased inhibitory effect of methanol extracts over berberine demonstrates the occurrence of other cytotoxic principles along with main active principle berberine or other factors enhancing the cytotoxic effect of berberine.
      
The above principles can guarantee forwarding of IP packets at line rate.
      
This paper analyzed the operating principles and power and torque characteristics of the wind turbine and the direct current motor (DC motor), and investigated the operating characteristics of the wind turbine compared to that of the DC motor.
      
To improve the efficiency of the branch-and-bound technique, some heuristic principles were proposed to cut those branches that may generate a global optimization solution with low probability.
      
Based on the basic principles of the micrometeorology of atmospheric boundary layers and vegetation canopy, a numerical model of the interaction between forest ecosystems and atmospheric boundary layers was developed.
      
We concluded that the conversion project from croplands to forests and grasslands based on scientific principles is very important in the formation of carbon sinks for reducing greenhouse effects.
      
Using principles of ecosystem health quantitative assessment and diagnosis index selection, 17 factors were considered from three aspects: resource and environmental capacity, social and economic impact, and ecological services.
      
Following the principles of runoff-collecting forestry and applying the forest structure investigation results, the authors developed a formula to calculate appropriate density for forests on the basis of different diameters at breast height (DBH).
      
The displacement of a piezoelectric multilayer actuator was amplified by a flexure-hinged amplifier based on the principles of triangle amplification.
      
Some principles are suggested on effective decomposing of the whole structure into super-elements for identification purposes.
      
The measuring principles for static current are given in theory by an established mathematical model of the sensor.
      
Based on a summary of the conventional polishing principles of hard and brittle materials, the tribo-electrochemical polishing method is proposed.
      
The manufacturing, principles, basic properties, and some applications of photonic crystal fibers are briefly described in this paper.
      
Different FLIM principles as well as applications of particular relevance for the biosciences, especially for fast intravital studies are discussed in this work.
      
The algorithm in this paper presents a solution to the corresponding principles of the vertices on each layer and between layers after meshing the start and the end key frames.
      
The density of states and band structure of 20 nm barium titanate (BaTiO3, BT) ceramics are investigated by first-principles calculation.
      
Geobiology, probing the interaction between the life system and the earth system, provides new principles in deciphering the whole dynamic processes related to the organic evolution history from living biomass to organic burial.
      
 

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