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Using related sequences of Lucas numbers, other 3-manifolds are constructed, their geometric structures determined, and a curious relationship between the homology and the invariant trace-field examined.
      
New results are obtained on the excess and overcompleteness of Gabor frames, on the relationship between frame bounds and density, and on the structure of the dual frame of an irregular Gabor frame.
      
The relationship between multiresolution analysis and filtering schemes is a well known facet of wavelet theory.
      
The relationship between harmonic analysis on GF(p?) and harmonic analysis on its subfields, is studied.
      
To establish a relationship between activity and structural descriptors of BABQ compounds, it is essential to develop a regression or an input-output model.
      
The relationship between the topochemical indices and antiallergic activity of 4-oxopyrimido[4,5-b]quinolines was investigated.
      
The relationship between the topochemical indices and poly(ADP-ribose) polymerase inhibitory activity of indole-1-ones has been investigated.
      
For a differential equation, a theoretical proof of the relationship between the symmetry and the one-parameter invariant group is given: the relationship between symmetry and the group-invariant solution is presented.
      
This paper deals with the relationship between a certain three-dimensional elliptic problem and a two-dimensional parabolic problem, which arises from numerical calculation in the process of the continuous casting of steel.
      
The relationship between projective geometric and rational quadratic b-spline curves
      
In this paper, the relationship between non-separating independent number and the maximum genus of a 3-regular simplicial graph is presented.
      
Moreover, the relationship between ratio limits and invariant measures is studied.
      
The relationship between the order of approximation by neural network based on scattered threshold value nodes and the neurons involved in a single hidden layer is investigated.
      
The relationship between the interaction of CNTs and amorphous metals and the catalytic performance of the catalyst is also discussed.
      
A successful interpretation of the complex relationship between GC RIs of methyalkanes and the chemical structure is achieved using the QSPR method.
      
The determination limit is 2.0×10-7 mol/L and a linear relationship between the current and concentration is found in the range of 4.0×10-7 ~ 3.3 ×10-5 mol/L.
      
The relationship between the process parameters and the average diameter of polysulfone nanofibers was investigated.
      
The regression equations revealed a linear relationship between the concentration of the analytes injected and the peak area detected by DAD.
      
The relationship between the structure and performance of polycarboxylate superplasticizer was analyzed.
      
the molecular weight of the obtained polymer increases linearly with monomer conversion, molecular weight distribution is very narrow, and a linear relationship between ln([M]0/[M]) and polymerization time is found.
      
 

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