Freuder and Elfe [1996] introduced Neighborhood Inverse Consistency (NIC) as a new local consistency property for Constraint Satisfaction Problems (CSPs) that filters the domains of variables. Two advantages of the algorithm for enforcing NIC is that it automatically adapts its filtering power to the local connectivity of the network and has insignificant space overhead. In this document, we di...

We investigate the monotonicity method for fractional semilinear elliptic equations with power type nonlinearities. prove that if-and-only-if relations between coefficients and derivatives of Dirichlet-to-Neumann map hold. Based on strong relations, we study a constructive global uniqueness inclusion detection Calderón inverse problem. Meanwhile, can also derive Lipschitz stability finitely man...

When in a linear GMM model nuisance parameters are eliminated by multiplying the moment conditions by a projection matrix, the covariance matrix of the model, the inverse of which is typically used to construct an efficient GMM estimator, turns out to be singular and thus cannot be inverted. However, one can show that the generalized inverse can be used instead to produce an efficient estimator...

Recursive matrix relations for kinematics and dynamics of a spatial three-degrees-of-freedom 3-RPS parallel mechanism are established in this paper. Three identical legs connect the moving platform by revolute joints. Knowing the motion of the platform, we develop first the inverse kinematical problem and determine the positions, velocities and accelerations of the robot. Further, the inverse d...

In this paper we study two inverse problems relating to reconstruction of the diffusion coefficient k(x), appearing in a linear partial parabolic equation ut = (k(x)ux)x. One is concerned through overposed data u(x, T ) and the other is with non-local boundary condition ∫ T 0 u(x, t)dt. We derive relations for these inverse problems, which show between changes in k(x) and changes in overposed d...

Recursive matrix relations in kinematics and dynamics of a Delta parallel robot having three revolute actuators are established in this paper. The prototype of the manipulator is a three degrees-of-freedom space mechanism, which consists of a system of parallel closed kinematical chains connecting to the moving platform. Knowing the translation motion of the platform, we develop first the inver...

In this paper, a simple and convenient method – Recursive Matrix method – is proposed for kinematic and dynamic analysis of all types of complex manipulators. After addressing the principle of the method, an example – a 3-DOF parallel manipulator with prismatic actuators – is demonstrated for the efficiency of the method in solving kinematic and dynamic problems of complex manipulators. With th...

Recursive matrix relations for the complete dynamics of a 3-PRP planar parallel robot are established in this paper. Three identical planar legs connecting to the moving platform are located in the same vertical plane. Knowing the motion of the platform, we develop first the inverse kinematical problem and determine the positions, velocities and accelerations of the robot. Further, the inverse ...

A new sequence of eigenfunctions is developed and studied in depth. These theta polynomials are derived from a recent analytic solution of the canonical Cauchy problem for parabolic equations, namely, the inverse heat conduction problem. By appealing to the methods of the operator calculus, it is possible to categorize the new functions as polynomials of binomial and Sheffer types. The connecti...

Elliptic really does have a connection with literal geometric ellipses, removed by a few steps. Integrals expressing arc length of ellipses are less elementary than integrals for inverse trigonometric functions, and were named elliptic because of this. Abel and Jacobi discovered in 1827 that the inverse functions are doubly periodic (explained below). This chain of events caused these functions...