Experiments were performed to test a set of general-purpose gamut-mapping functions. These gamut-mapping algorithms utilized contrast-preserving scaling functions. These algorithms were tested against the GCUSP gamut-mapping algorithm proposed by Morovic and Luo, which was shown to have very good "universal" gamut-mapping characteristics. The results of these experiments showed that vast improv...

Such a mapping defines by passing to quotients a continuous one-to-one mapping f of the circle-identified with the real numbers modulo the integersto itself. We can define an orientation-preserving homeomorphism of the circle to be a mapping obtained in this way. The mapping f is not quite uniquely determined by the induced mapping f ; two f ' s induce the same f if and only if they differ by a...

In our previous studies (Li and Zhong, 2021a; Li 2021b), the commonly reported issue that most of existing mapped WENO schemes suffer from either losing high resolutions or generating spurious oscillations in long-run simulations hyperbolic problems has been successfully addressed, by devising improved schemes, namely MOP-WENO-X, where “X” stands for version scheme. However, all MOP-WENO-X brin...

The nonlocal set has received wide attention over recent years. Shortly before, Li and Wang arXiv:2202.09034 proposed the concept of a locally stable set: only possible orthogonality preserving measurement on each subsystem is trivial. Locally sets present stronger nonlocality than those that are just indistinguishable. In this work, we focus constructions in multipartite quantum systems. First...

Background: Mapping quantitative trait loci (QTL) has become a widely used tool in genetical research. In such experiments, it is desired to obtain orthogonal estimates of genetic effects for a number of reasons concerning both the biological meaning of the estimated locations and effects, and making the statistical analysis clearer and more robust. The currently used statistical methods, howev...

The construction of nonlocal sets quantum states has attracted much attention in recent years. We first introduce two Lemmas related to the triviality orthogonality-preserving local measurements. Then we propose a general set $n(d-1)+1$ orthogonal product $(\mathbb{C}^{d})^{\otimes n}$. are also put forward for multipartite systems with arbitrary dimensions. Our novel gives rise less members an...

A locality-preserving mapping (LPM) from the multidimensional space into the one-dimensional space is beneficial for many applications (e.g., range queries, ncarestneighbor queries, clustering, and dedustcring) when multidimeIlsional data is placed into one-dimensional storage (e.g., the disk). The idea behind a locality-preserving mapping is to map points that are nearby in the multidimensiona...