Two-sample tests for multivariate data and especially for non-Euclidean data are not well explored. This paper presents a novel test statistic based on a similarity graph constructed on the pooled observations from the two samples. It can be applied to multivariate data and non-Euclidean data as long as a dissimilarity measure on the sample space can be defined, which can usually be provided by...

In this paper, we present different types of continuous set multifunctions with respect to a set norm (such as uniformly autocontinuous or autocontinuous from above), their relationships with non-additive set multifunctions and some properties of atoms and pseudo-atoms for null-null-additive set multifunctions.

This paper is concerned with the Cauchy problem for relativistic membrane equation (RME) embedded in $${\mathbb {R}}^{1+(1+n)}$$ $$n=2, \, 3$$ . We show that RME a class of large (in energy norm) initial data admits global, smooth solution. The are given by short pulse type, which introduced Christodoulou his work on formation black holes [10]. Due to quasilinear feature RME, we construct two m...

A characteristic value formulation of the Weyl double copy leads to an asymptotic formulation. We find that holds asymptotically in cases where full solution is algebraically general, using rotating STU supergravity black holes as example. The provides clues regarding relation between symmetries follows from copy. Using C-metric example, we show a previous interpretation this gravity superrotat...

In this correspondence we derive the asymptotic distribution of the MUSIC null spectrum, from which an exact expression of the asymptotic variance of the MUSIC null spectrum can be obtained. The result presented in this correspondence is a simpler alternative and a special case of a more general result recently obtained by Lee and Wengrovitz.

A new sufficient condition for photons emitted near future null infinity to reach is derived by studying geodesics in the Bondi coordinates asymptotically flat spacetimes. In our previous works [M. Amo et al., Phys. Rev. D 104, 064025 (2021).; M. 105, 064074 (2022).], such a was established outward or tangential directions constant radial surfaces. This paper improves result including inward di...

Tests for regression neglected nonlinearity based on artificial neural networks (ANNs) have so far been studied by separately analyzing the two ways in which the null of regression linearity can hold. This implies that the asymptotic behavior of general ANN-based tests for neglected nonlinearity is still an open question. Here we analyze a convenient ANN-based quasi-likelihood ratio statistic f...

In the mouse embryo, the generation of primordial germ cells (PGCs) from the epiblast requires a bone morphogenetic protein-4 (BMP4) signal from the adjacent extraembryonic ectoderm. In this study, we report that Bmp8b, a member of the Gbb-60A class of the BMP superfamily, is expressed in the extraembryonic ectoderm in pregastrula and gastrula stage mouse embryos and is required for PGC generat...

Yeast protein insertion orientation (PIO) mutants were isolated by selecting for growth on sucrose in cells in which the only source of invertase is a C-terminal fusion to a transmembrane protein. Only the fraction with an exocellular C terminus can be processed to secreted invertase and this fraction is constrained to 2-3% by a strong charge difference signal. Identified pio mutants increased ...

five genotypes of chickpea as a half diallel crossed with each other, in 2008, 5 parents and 10 progenies were planted as randomized complete block design and some traits including days to podding, basal pod height, number of pods per plant, number of double seed pods per plant, number of single seed pods per plant, number of empty pods per plant, seeds per plant and seed yield per plant were e...