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Taking a specific determination of its argument and studying its limit when approaching the Shilov boundary, we are able to define a ?-valued,G-invariant kernel for triples of mutually transversal points inS.
      
A* arises quite naturally in problems of summability of the Fourier series at Lebesgue points, whereas Wiener's algebra A of functions with absolutely convergent Fourier series arises when studying the norm convergence of linear means.
      
A* arises quite naturally in problems of summability of the Fourier series at Lebesgue points, whereas Wiener's algebra A of functions with absolutely convergent Fourier series arises when studying the norm convergence of linear means.
      
We concentrate on studying algorithms that provide expansions into a series.
      
We prove by studying the properties of the spectrum of the parity progressive operator of population that there existst0>amp;gt;0 such that the parity progressive population semigroup {T(t): t≥0} is differentiable ift>amp;gt;t0
      
On studying traveling waves on a nonlinearly suspended bridge, the following partial differential equation has been considered: uu+uxxxx+f(u)=0, where f(u)=u+-1.
      
This paper is devoted to studying a free boundary problem modeling the effects of drug resistance and vasculature on the response of solid tumors to therapy.
      
In this paper, the so-called approximate convexity and concavity properties of generalized Gr?tzsch ring function μα(r) by studying the monotonicity, convexity or concavity of certain composites of μα(r) are obtained.
      
This paper provides a reference on calculating the binding-site number in proteins for ligands and studying their interactions by fluorescence spectroscopic methods.
      
By studying the different TG curves of magnesium citrate gel prepared by different methods, we found that a combustion process occurred and the nitrate ions acted as an oxidant in the combustion process.
      
By studying the core algorithm of a three-dimensional discrete wavelet transform (3-D DWT) in depth, this paper divides it into three one-dimensional discrete wavelet transforms (1-D DWTs).
      
After investigating and studying the vegetation, we have established that Makehe Forest, in Sanjiangyuan Nature Reserve, Qinghai Province, is host to a total of 364 different species, representing 173 "genera" in 55 different vegetative families.
      
Movement patterns of nutrient elements in hydrological processes can be discovered by studying this monitored data.
      
Yeast two-hybrid approach is popularly used nowadays as an important technical method in the field of studying protein-protein interactions.
      
Studying seasonal changes of fine root biomass, RLD, and SRL associated with soil resource availability will help us understand the mechanistic controls of carbon to fine root longevity and turnover.
      
Pressure-volume curve (PV curve) technique is a major method for studying critical plant water potential and critical tissue water content when plasmolysis takes place.
      
By studying on functional morphology and analogy with mouthpart of Punctatus, there are evidences that this star-like organism approaches the coelenterates in systematic classification and the centre of star-like organism is its mouth.
      
Therefore, it is very important, in the course of modeling for the purpose of studying the TV of the shafting of a turbo-set, to accurately determine the structural parameters of parts that have a relatively sensitive effect on the TV behavior.
      
A corresponding computer program is developed and employed for studying the seismic response control of a self-anchored suspension bridge with a main span of 350 m.
      
The results of this study show that fluorometry of odors is a promising method for studying fruits and other objects.
      
 

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