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In answer to Ko's question raised in 1983, we show that an initial value problem given by a polynomial-time computable, Lipschitz continuous function can have a polynomial-space complete solution. The key insight is simple: the Lipschitz condition means that the feedback in the differential equation is weak. We define a class of polynomial-space computation tableaux with equally restricted feedback,...
A long calculation time is required to solve the inverse kinematics problem by the numerical iterative method (i.e. Newton-Raphson method) if the dimension of the Jacobian matrix becomes large. In this paper a new high speed numerical calculation method (SMJM method: simply modified Jacobian matrix method) to calculate the inverse kinematics of nonredundant manipulators and redundant manipulators...
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