This paper proposes an economic growth model to analyze dynamic interdependence between capital and knowledge accumulation, government research policy and job amenity. The system consists of one production sector and one university. It is assumed that each person may obtain different levels of job amenity in the university and in the production sector. A typical consumer’s utility is dependent on the level of his job amenity, consumption level of commodity and wealth. The conditions for the existence of equilibria are provided. It is shown that the system may have either a unique equilibrium or multiple equilibria, depending on the research policy, the levels of job amenity and the creativity and knowledge utilization efficiency of the university and the production sector. We also examine the effects of changes in job amenity and government’s wage policy for scientists on the equilibrium economic structure.

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The public sector and landowners, including private entities, need to cooperate in urban renewal projects to develop the infrastructure. It is important to allocate fairly the joint costs to each agent. In this paper we present a discussion on the rationality of the cost allocation of infrastructure arrangement among landowners and the public sector in the urban renewal project. A mathematical model based on cooperative game theory is formulated and then applied to an assumed three-player situation. We show that the model well explains an appropriate way of allocating costs, and also extra cooperative benefits.

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This paper present an analytical framework to measure the effects of foreign direct investment (FDI) on the economy of the host country, particularly the technological structure, amount of domestic production and imports and the level of employment, wages and prices. This framework is applied to study the effects of U.S. and Japan direct investments made in the 10-year period 1982-1991 on the Philippine economy in 1991.

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Bacteriorhodopshin (BR) is an intrinsic membrane protein composed of seven membrane-spanning helices (A-G). Partial genes of bacterioopsin (BOP) which encode the peptides including ABCD helices and EFG helices of bacteriorhodopsin were independently expressed in Escherichia coli (E. coli ). Six inducible expression vectors were constructed, three of which contain a partial gene coding the ABCD helices of BOP (vectors pUBOAIN, pKBOAIN and pTKBOAIN), and three coding the EFG helices of BOP (vectors pUBOAIC, pKBOAIC and pTKBOAIC). The vectors pUBOAIN and pUBOAIC contain lac-promoter and the vectors pKBOAIN and pKBOAIC contain tac-promoter followed by the partial genes of BR. The vectors pTKBOAIN and pTKBOAIC contain a nucleotide fragment encoding the presequence of the manganese-stabilization protein of Anacystis nidurans between the lac-promoter and the BR partial gene. The expression of the resulting fusion proteins were detected by ELISA using mouse anti-BR serum. The fusion proteins prepared from F. coli transformed by pTKBOAIN or pTKBOAIC were estimated to comprise more than 1% of the total membrane protein in the E. coli.

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For discrete-time non-minimum phase plants with feedback delays, we discuss two Loop Transfer Recovery (LTR) techniques applied at the plant output side. We show that the feedback property achieved by the formal application of the conventional LTR procedure can be achieved by the partial LTR technique which has a clear system-theoretic significance. By this fact, we can justify the use of the conventional LTR technique to a class of non-minimum phase plants. In addition, we point out that the partial LTR technique provides more freedom in shaping a target feedback property via the selection of disturbance model. We propose a simple technique exploiting this freedom. By a numerical example, we show that the proposed technique can be used to enhance robustness against uncertainties near a Nyquist frequency without significant change in low frequency characteristics.

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The Gauss contiguous relations are used to give three recurrence relations for the hypergeometric functions F (n +a,n +b ;m +c ;z ) for integers n and m. Their usefulness in successive computation of F (n +1⁄2,n +1⁄2;m ;z ) and its analytic continuation is studied for integers n and m satisfying n ≥ 0 and m > 0, for complex numbers z. A program in C language is presented, by which all the values of F (n +1⁄2,n +1⁄2;m ;z ) for n and m satisfying 0 ≤ n ≤ n ₁ and 1 ≤ m ≤ m ₁ are calculated when positive integers n ₁ and m ₁ and a complex number z are given; the algorithm is applicable to the analytic continuation of the function. The algorithm for the computation of F (n +a,n +b ;m +c ;z ) is sketched.

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We show that the spectral gap of the Dirichlet form on the path space P_x (M )_T =C ([0,T ]→M ; γ(0)=x ) goes to 0 exponentially, when T → ∞. Here, M is a compact negatively curved manifold. This contrasts with the case of positive curvature. It is proved by using a gradient estimate of bounded harmonic functions on negatively curved manifolds.

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Let G be an oriented graph. We introduce the notion of (+)-subgraph, which comes naturally from the notion of (+)-fcd in foliation theory. We give a property of oriented graphs having at least one (+)-subgraph, which corresponds to the property of mean curvature functions in foliation theory.

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Let us consider connected closed 3-dimensional SU (2)-manifolds. Within them, we shall determine all manifolds admitting smooth SL(2,C)-actions. Moreover, we shall classify completely all smooth SL(2,C)-actions on these manifolds topologically.

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For a function f ∈L¹ ([−π,π] ⁿ) we denote by (S_Rf ) (x) (R > 0) the spherical partial sums of multiple Fourier series of f defined by (S_R f )(x)=∑_|k|≤Rf^_ke^i( k,x) and let f (x)=F(|x|) be radial with support in { |x| ≤ a } (0 < a ≤ π ). In this note, when n ≥ 3, we prove that, for F∈C^l +2([0,a]) and l =[(n−3)⁄2], a necessary and sufficient condition under which lim_R→∞(S_Rf )(0) exists is that F(a)=F'(a)=…=F^(l )(a)=0.

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