Photocatalysts La_2Ti_(2-x)Co_xO_7(x=0, 0.05, 0.10, 0.20) with pyrochlore structure were synthesized by sol-gel method. XRD, FT-IR, BET, and UV-Vis diffuse reflectance spectroscopy were used to characterize the crystal structure, specific surface area, and diffuse reflectance spectra, respectively, the formation rate of hydrogen was measured by the photocatalytic activity measurement device and gas chromatography(GC).
We give a characterization of those elements ofW whose reduced expressions avoid substrings of the formsts wheres andt are noncommuting generators.
An infinitesimal characterization of the complexity of homogeneous spaces
A characterization of the complexity of a homogeneous space of a reductive groupG is given in terms of the mutual position of the tangent Lie algebra of the stabilizer of a generic point of and the (-1)-eigenspace of a Weyl involution of.
A characterization of linearly reductive groups by their invariants
Indeed, we will give a full classification of the manifoldsN(g, V) which are commutative spaces, using a characterization in terms of multiplicity-free actions.
We characterize irreducible Hermitian symmetric spaces which are not of tube type, both in terms of
Scales of quasi-norms are defined for the coefficients of the expansion that characterize, via Littlewood-Paley-Stein theory, when a radial distribution belongs to a Triebel-Lizorkin or Besov space.
The theorem is then used to characterize a class of entire functions that can be reconstructed from their sample values at the points tn = an + b if n = 0, 1, 2, ...
In Section 2 of this article, we characterize stability and linear independence of the shifts of a finite refinable function set in terms of the refinement mask.
We characterize, for finite measure spaces, those orthonormal bases with the following positivity property: if f is a non-negative function, then the partial sums in the expansion of f are non-negative.
We use the theory of tilting modules for algebraic groups to propose a characteristic free approach to "Howe duality" in the exterior algebra.
Euler characteristic of certain affine flag varieties
The purpose of this note is to prove, as Lusztig stated, that the Euler characteristic of the variety of Iwahori subalgebras containing a certain nil-elliptic elementnt istcl wherel is the rank of the associated finite type Lie algebra.
For the case of positive characteristic we use the classification of finite irreducible groups generated by pseudoreflections due to Kantor, Wagner, Zalesski? and Sere?kin.
We also compute the Euler characteristic of the space of partial flags containingnt and give a connection with hyperplane arrangements.