A definition of the term "probability density function (pdf)" is presented. In mathematics, it represents a probability distribution in terms of integrals. According to the article, a pdf can informally be seen as a smoothed out version of a histogram. It is stated that if one empirically ...
Functional annotations have the potential to increase power of genome-wide association studies (GWAS) by prioritizing variants according to their biological function, but this potential has not been well studied. We comprehensively evaluated all 1132 tra
Importantly, this information was non-instrumental and hence had no objective value because there was no way to use it to influence the outcome6, and participants were clearly instructed on this. Thus, each offer had multiple attributes corresponding to multiple features of the reward distribution ...
We derive exponential upper bounds for the distribution tails of multiple stochastic integrals of bounded nonrandom functions. In this paper we consider integrating processes from certain wide classes. Some important examples of integrating processes are given. Multiple stochastic integrals with respect to...
Properly integrating spatially resolved transcriptomics (SRT) generated from different batches into a unified gene-spatial coordinate system could enable the construction of a comprehensive spatial transcriptome atlas. Here, we propose SPIRAL, consisting of two consecutive modules: SPIRAL-integration, with gr...
Under unreasonable human interference and fragile ecological conditions, the Daning river basin is suffering an increasingly severe trend of degradation and landscape fragmentation, which have hindered the free migration of species and the normal ecological circulation process of landscape (Huang et al., ...
As a result, all layers will be standardized and placed on a normal distribution with a mean of zero and a standard deviation of one, allowing an unbiased TOD Index to be created. In the next section, we will outline in detail how each layer in the TOD Index was calculated and how the...
Deciphering the role of plasma proteins in pancreatic cancer (PC) susceptibility can aid in identifying novel targets for diagnosis and treatment. We examined the relationship between genetically determined levels of plasma proteins and PC through a syst
In online public opinion events, key figures are crucial to the formation and diffusion of public opinion, to the evolution and dissemination of topics, and to the guidance and transformation of the direction of public opinion. Based on the four-dimensio
Single-cell RNA sequencing (scRNA-seq) enables the systematic identification of cell populations in a tissue, but characterizing their spatial organization remains challenging. We combine a microarray-based spatial transcriptomics method that reveals spa