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 unit
 Algebraic monoids with affine unit group are affine In this short paper we prove that any irreducible algebraic monoid whose unit group is an affine algebraic group is affine. One outcome is a simple proof that for $g_{m \alpha , n \beta}$ to span $L^2,$ the lattice $(m \alpha , n \beta )$ must have at least unit density. This is done by proving that a well-known method, the construction of a Perron Tree, can be applied to a larger collection of subsets of the unit circle than was earlier known. In the special case of Ω=Id, the d-dimensional unit cube, we prove this conjecture, with Ω'=Id, for d≤3, describing all the tilings by Id, and for all d when Λ is a discrete periodic set. 更多
 units
 It is assume that trading takes place in the sequence of spot markets and futures markets for securities payable in units of account. It is assumed that the trading takes place in the sequence of spot markets and futures markets for securities payable in units of account. Furthermore, task Ai can be processed on M1 for ai time units, or on M2 for a'i time units, while task Bi can only be processed on M2 for bi time units. The respective functions of the structure units of the main and branched chains were discussed. The proposed planning system is composed of several separate fuzzy units, which control individually each manipulator joint. 更多
 per
 In previous work, under some assumptions, we specified a replacement rule which minimizes the long-run (expected) average cost per unit time and possesses control limit property. By numerical analysis, the fertility decreases with the per capita capital and per capita consumption increasing and increases with the per capita capital and per capita consumption decreasing on the economic growth path are obtained. The static maximum adsorption capacity of naringin is 32.6 mg/g with naringin concentration at 2.7 g/L, while the dynamic adsorption capacity of naringin is 23.8 mg/g with naringin extract flow rate at two times that of resin volume per hour. The desorption ratio will rise to more than 85% when the flow rate of this optimal eluant is one to two times that of resin volume per hour. Detectability of 0.7 mg/l for pseudoephedrine hydrochloride was achieved at a sample throughput rate of 24 times per hour, which is 30% lower than that obtained by HDI-based conventional CE. 更多
 the unit
 This is done by proving that a well-known method, the construction of a Perron Tree, can be applied to a larger collection of subsets of the unit circle than was earlier known. For p∈(-∞, ∞) letQp(?Δ) be the space of all complex-valued functions f on the unit circle ?Δ satisfying, where the supremum is taken over all subarcs I ? ?Δ with the arclength |I|. In this article we consider a simple method of radial quasi-interpolation by polynomials on the unit sphere in ?3, and present rates of covergence for this method in Sobolev spaces of square integrable functions. Toeplitz operators on the Bergman space of the unit disc can be written as integrals of the symbol against an invariant operator field of rank-one projections. We present a method for constructing wavelet bases on the unit sphere S2 of R3, using the radial projection and an inner product associated to a convex polyhedron having the origin inside. 更多
其他
 This paper expounds the geochemical log evaluation procedure and its technical limitations, analyzcs the similarities and differences through examples between difficult-to-diagnose reservoirs which include light crude oil, heavy crude oil, low resistivity and fractured reservoirs and other types of reservoirs, and discusses the geochemical log evaluation procedure and the interpretation method of hydrocarbon bearing and water bearing beds. 地化录井技术是依据现场地化分析多数，确定储层的单位含烃量、孔隙度、含油饱和度及原油性质，判别油气水层。文中阐述了储层地化录井的评价方法及技术界限，以实例分析了含重质油、轻质油，低阻及裂缝性等疑难储层与其它储层的异同，阐明了该类储层的地化录井评价特点和油气水层解释方法。
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