Mourgues and Ressayre [10] showed that any real closed field is isomorphic to a truncation closed subfield of a Hahn field over R. The papers [5, 6, 7, 4] continue the study of truncation closedness. The results are typically that truncation closedness is robust in the sense of being preserved under a variety of extensions. One significance of truncation closedness is that it enables transfinit...

A bstract Recently, [ JHEP 12 131 (2020)] obtained (a similar, scaled version of) the ( a, b )-phase diagram derived from Kazakov-Zinn-Justin solution of Hermitian two-matrix model with interactions $$ -\mathrm{Tr}\left\{\frac{a}{4}\left({A}^4+{B}^4\right)+\frac{b}{2} ABAB\right\}, ? Tr <mm...

Truncation of human chromosomes at desired sites by homologous recombination techniques enables functional and structural analyses of human chromosomes and development of human artificial chromosomes. However, this targeted truncation has been inefficient. We describe here an efficient method for targeted truncation in the chicken DT40 cells with a high homologous recombination rate. The human ...

A new progressive image transmission technique using adaptive block truncation coding is introduced in this paper. The adaptive block truncation coding was proposed as a non-transform coding mode for edge blocks in digital video sequences. By adapting more sophisticated just-noticeable-diierence model of the human visual system, we can get an improved adaptive block truncation coding than the o...

In this paper we first modify a widely used discrete Laplace Beltrami operator proposed by Meyer et al over triangular surfaces, and then establish some convergence results for the modified discrete Laplace Beltrami operator over the triangulated spheres. A sequence of spherical triangulations which is optimal in certain sense and leads to smaller truncation error of the discrete Laplace Beltra...

State-of-the-art filtered backprojection (FBP) algorithms often define the filtering operation to be performed along non-horizontal filter lines in the detector. For non-horizontal filter lines, a limited scan field of view leads to axially as well as trans-axially truncated projections. In this work, we investigate the influence of axial and trans-axial data truncation on the reconstruction re...

The flow characteristics on a truncated cone with a cylinder were experimentally investigated in a Mach 5 flow with a Reynolds number 3.8 × 10, based on the cylindrical diameter. Two different truncation ratios of 0.5 and 0.7 were used. The incidence angle varied from -12 to 0 degrees with 3 degrees intervals to investigate the influence of the truncation ratio on the surface flow pattern. The ...