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For the special case of his construction that gives groups of type E6, we connect the two papers by answering the question: Given an Albert algebra A and a separable quadratic field extension K, what is the index of the resulting algebraic group?
      
Gibbs' phenomenon for sampling series and what to do about it
      
Therefore, it is also important to know to what extent |A(u)| determines the signal.
      
Specifically, we show under what conditions these decay properties of g are inherited by its minimal dual γ0 and by generalized duals γ.
      
Here, we show under what conditions and to what extent the canonically associated tight frame inherits decay properties of g.
      
The choice number of a graph G, denoted by xl(G), is the minimum number k such that if a list of k colors is given to each vertex of G, there is a vertex coloring of G where each vertex receives a color from its own list no matter what the lists are.
      
Comparisons of the new and circular models in the experiment show that the new model can predict yield caused by real defects more accurately than what the circular model does, which is of significance for the prediction and improvement of the yield.
      
The rank theorem in advanced calculus asks to answer what properties of f ensure that f(x) is conjugate to f'(x0) near x0.
      
With further analysis, our model shows that, without the influence of the external field, the opinions will finally die out to a limited small value no matter what the initial condition of the system is.
      
What is the highest Tc for phonon-mediated superconductivity
      
Usually, we can use finite objects to approximate infinite objects, and we should know what kinds of infinite objects are approximable and how to approximate them effectively.
      
These results demonstrate the role of hydrogen bonds in molecular assembly formations and what is more, would be beneficial for understanding and fine tuning of the assembling of truxene-related opto-electronic materials.
      
The study can be used to support decisions on how natural gas resources can best be utilized as a fuel/energy resource for automobiles, and what issues need to be resolved in Chongqing.
      
Contrary to what has been reported for Escherichia coli, the expression of vgb in E.aerogenes decreased several fold under 10% of atmospheric oxygen (≈2% oxygen) and its growth was not greatly improved by the presence of VHb.
      
It was shown in what way the cone varies with increasing number of indices or interacting systems.
      
What Can Medicine Learn from the Human DNA Sequence
      
In this paper we first review what is known about the kinetics of Meta II formation, the role and stoichiometry of protons in Meta II formation, the kinetics of the light-induced changes of proton concentration, and the site of proton uptake.
      
Can a biologist fix a radio - or, what i learned while studying apoptosis
      
Lazebnik, "Can a Biologist Fix a Radio? - or, What I Learned while Studying Apoptosis" has already been published in English (Cancer Cell, 2002, 2, 179-182) and in Russian (Uspekhi Gerontologii, 2003, No.
      
Can a biologist fix a radio - or, what I learned while studying apoptosis
      
 

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