A new three-degrees-of-freedom (3-DOF) translational parallel manipulator (TPM) with linear actuators, i.e., 3-CRR TPM, is first proposed. The rotation singularity analysis, the inverse kinematics, the forward kinematics, and the kinematic singularity analysis of the 3CRR TPM are then performed. The analysis shows that the proposed TPM has the following kinematic merits over previous TPMs. (1) ...

A new three-degrees-of-freedom (3-DOF) translational parallel manipulator (TPM) with linear actuators, i.e., 3-CRR TPM, is first proposed. The rotation singularity analysis, the inverse kinematics, the forward kinematics, and the kinematic singularity analysis of the 3CRR TPM are then performed. The analysis shows that the proposed TPM has the following kinematic merits over previous TPMs. (1) ...

Physical variables in scale invariant systems often show chaotic, turbulent-like behaviour, what is commonly associated to the existence of a fractal or multifractal underlying structure. The detection of such structure over experimental data requires appropriate methods of analysis and to establish criteria to measure the confidence degree in the estimates. In this paper we will test four diff...

The asymptotic analysis of a class of binomial sums that arise in information theory can be performed in a simple way by means of singularity analysis of generating functions. The method developed extends the range of applicability of singularity analysis techniques to combinatorial sums involving transcendental elements like logarithms or fractional powers. Analyse de singularit e et asymptoti...

The parabolic-profile model for the singularity spectrum f(α) of fully-developed turbulence (FDT) is pursued further. This model is shown to provide not only considerable insight into the qualitative aspects of the intermittency problem but also the universal aspects associated with it. The parabolic-profile model also affords, unlike the multi-fractal model, an analytical calculation of probab...