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 proper LetRo andR1 be two Kempf-Ness sets arising from moment maps induced by strictly plurisubharmonic,K-invariant, proper functions. It is shown here that there are proper subsets of ${\cal M}$ that also form a complete set of translation invariants, and these subsets are characterized. The existence and uniqueness of optional and predictable projections of setvalued measurable processes are proved under proper circumstances. Benson proper efficiency in the nearly cone-subconvexlike vector optimization with set-valued functions Under the assumption of nearly cone-subconvexlikeness, a Lagrangian multiplier theorem on Benson proper efficiency is presented. In this paper, the general Marcinkiewicz integral operator μΩ,α on the Hp Sobolev spaces under the proper condition of kernel Ω(x') is considered. The D-η-proper prequasi-invexity of vector-valued functions is characterized by means of (weak) nearly convexity and density of sets. Under weaker assumptions, some equivalent conditions for D-η-proper prequasi-invexity are derived. By choosing a proper constant a nontrivial solution of a class of non-divergence Dirichlet problem on the polarizable Carnot group is constructed. Results show that DMF/H2O mixtures are proper media for PEAPH/PDAC multilayer fabrication. It is necessary to select the catalyst with proper Pt loading when the anode of a direct-methanol fuel cell is prepared. Their objective functions include the squared error summation between the output of nonlinear function based on kernels and the desired output and a proper regularization term. Proper location can be achieved by using this method. The design was investigated numerically to obtain proper dimensions for the antenna and a prototype was constructed. An important conclusion of wood for musical instruments with proper anisotropy, fine toughness, and weak shear of longitudinal and radial vibration was inducted. A squeezing of 0.3 dB can be observed at the detuning of probe light at the proper parameters of atoms and coupling beam. In order to ensure that the pheasants are receiving the proper amount of nutrition and to improve their breeding success, the amount of certain elements in the food should be adjusted. Further, we demonstrate that principally distributive domains (those for which each principle ideal is distributive) form a proper subclass of weakly distributive domains, and Birkhoff's M3 and N5 (Introduction to Lattices and order, Cambridge Univ. The proper conditions were determined as the following: pressure 2.0 MPa, temperature 120°C and stirring rate 550 r/min. Moreover, for the catalysts with a proper amount of MgO promoter, the nickel dispersiveness was enhanced, therefore making their catalytic performance in methane partial oxidation improved.

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