Gamma functionconfluent hypergeometric functionGauss hypergeometric functionintegrating factorMeijer’s G-function33C99Conway [A Lagrangian method for deriving new indefinite integrals of special functions. Integral Transforms Spec Funct. 2015;26:812824] introduced a new and simple method named the Lagrangian...
for the first fraction $$ \int_{0}^{\infty}{e^{-(s+i\ln{(x)}t)}}dt = \frac{1}{s++i\ln{(x)}} $$ have $$ \begin{align} I &= \Im{\int_{0}^{\infty}{\int_{0}^{\infty}{e^{-(s+i\ln{(x)}t)}\frac{1}{\sqrt{x}(1+x^2)}}dt}dx} \\ &= \Im{\int_...
SSR3 gene encodes the gamma subunit of the signal sequence receptor (SSR), which is a protein complex involved in the recognition and targeting of proteins to the endoplasmic reticulum for further processing and secretion. Eukaryotic translation initiation factor 3 (eIF-3) complex is encoded by ...
. Experiments using an adapted in-house light sheet fluorescence microscopy set-up were conducted to confirm the three-dimensional structure of the hydrogel deposition near the trap site and along the main serpentine microchannel (Fig.1gand Supplementary Fig.3b–d). The thickness of the gel layer ...
Next, recall also that the gauge algebroid of A is the Lie agebroid DA \Rightarrow M whose sections are derivations of A, i.e., {\mathbb {R}}-linear maps \begin{aligned} D: \Gamma (A) \rightarrow \Gamma (A) \end{aligned} such that \begin{aligned} D(f a) = \sigma _D (...
The pancreatic islet is a complex mini organ composed of a variety of endocrine cells and their support cells, which together tightly control blood glucose homeostasis. Changes in glucose concentration are commonly regarded as the chief signal controllin
Integrating out supersymmetric M2 branes wrapped on two-cycles in Calabi–Yau manifolds is an important calculation: it allows the determination of, a
We use essential cookies to make sure the site can function. We also use optional cookies for advertising, personalisation of content, usage analysis, and social media. By accepting optional cookies, you consent to the processing of your personal data - including transfers to third parties. Some...
$$y=\gamma \frac{x-\langle x\rangle }{\sqrt{{{\rm{Var}}}[x]+\epsilon }}+\beta.$$ (4) Here, γ and β are learnable parameter vectors that have the same size as the input data, and ϵ is set at 10−5. During training, the layer keeps running estimates of its computed...
Analysis of single-nucleus RNA-seq of glaucoma-relevant eye tissues reveals that the POAG and IOP colocalizing genes and genome-wide associations are enriched in specific cell types in the aqueous outflow pathways, retina, optic nerve head, peripapillary sclera, and choroid. This study nominates ...