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The paper discusses various aspects of this monetary policy regime's including suppressed inflation, obtaining the zero lower bound on the policy interest rates, and promising central banks to simultaneously address additional goals such as financial stability. Since none of the alternatives to inflation targeting currently looks 100% fine, it is also concluded that the inflation targeting system should be modified to reflect the current situation, but central bank accountability must be strengthened in order to ensure the new regime's success.
Source link: https://doi.org/10.38050/2712-7508-2020-14
Despite extensive research showing that three-UPU TPMs are coplanar, only a few 3-UPU TPMs with skewed base and moving platform have been identified, and the effect of constraint singularity loci of such TPMs has not been investigated thoroughly. This paper presents a systematic classification of 3-UPU TPMs with a skewed base and a moving platform based on constraint singularity loci. Unlike many of existing 3-UPU TPMs, which can migrate to two or more 3-DOF operation modes, the new 3-UPU TPM can only transit to one specific 3-DOF operation mode. The work of this 3-UPU TPM is divided into two constraint singularity-free zones by a singularity locus. This research provides a solid foundation for 3-UPU TPMs' design and a starting point for the classification of a general 3-UPU parallel device.
Source link: https://doi.org/10.1115/1.4054307
The Nobel Prize in Physics in 2020 has reignited the interest in singularity theorems and, in particular, in the Penrose theorem, which was published in 1965. The exact structure of the singularity inside black holes is also investigated. This essay is part of the volume 1's The future of mathematical cosmology, Volume 1'.
Source link: https://doi.org/10.1098/rsta.2021.0174
Since specifically aiming for a high-quality integer grid map is mathematically demanding, the design is usually broken into two steps: the establishment of a surface-aligned octahedral field and the creation of an integer grid map that best corresponds to the octahedral field. The main robustness issue comes from the fact that smooth octahedral fields often have singularity graphs that are not suitable for hexahedral meshing and create large number of degenerate integer grid diagrams. The first contribution of this work is an enumeration of all local configurations in hex meshes with bounded edge valence, as well as a generalization of the Hopf-Poincaré formula to octahedral fields, providing the required local and global conditions for determining the hex-meshability of an octahedral field in terms of its singularity graph.
Source link: https://doi.org/10.1145/3197517.3201344
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