Explicitly Invertible Approximations of the Gaussian Q-Function: A Survey
Communications and information theory use the Gaussian $Q$ -function, a positive and decreasing function, across the literature. Its approximations were created to simplify mathematical study of the Gaussian $Q$ -function expressions. This is important
Alessandro Soranzo +4 more
doaj +1 more source
Closed-Form Formula of the Transverse Dynamic Stiffness of a Shallowly Inclined Taut Cable
The segmented vibration-governed equations and their general solutions for cables acted upon by intermediate transverse forces are derived by applying Hamilton’s principle. Including the effects of sagging, flexible stiffness, clamped boundary conditions,
Dan-hui Dan, Zu-he Chen, Xing-fei Yan
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ABSTRACT Background Neurotoxicity is a rare, often dose‐limiting adverse effect of methotrexate (MTX) therapy that disproportionally affects Latino children. Factors contributing to the observed disparity are not well understood. This study leveraged admixture mapping to identify genetic regions associated with MTX‐related neurotoxicity susceptibility ...
Rachel D. Harris +24 more
wiley +1 more source
An Insight into the Data Structure of the Dynamic Batch Means Algorithm with Binary Tree Code
Batching is a well-known method used to estimate the variance of the sample mean in steady-state simulation. Dynamic batching is a novel technique employed to implement traditional batch means estimators without the knowledge of the simulation run length
Mingchang Chih
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Special-case closed form of the Baker–Campbell–Hausdorff formula [PDF]
The Baker-Campbell-Hausdorff formula is a general result for the quantity $Z(X,Y)=\ln( e^X e^Y )$, where $X$ and $Y$ are not necessarily commuting. For completely general commutation relations between $X$ and $Y$, (the free Lie algebra), the general result is somewhat unwieldy.
Van-Brunt, Alexander, Visser, Matt
openaire +2 more sources
Modulation of Homer1 EVH1 domain internal dynamics by putative autism‐associated mutations
The putative autism‐associated M65I and S97L variants of the EVH1 domain of the postsynaptic scaffold protein Homer1 do not exhibit substantial changes in their overall structure or partner binding. Both of them, but especially the M65I variant, show altered internal dynamics relative to the wild‐type domain on the μs‐ms timescale, indicated by the ...
Fanni Farkas +6 more
wiley +1 more source
A closed form formula for long-lived TCP connections throughput [PDF]
In this paper, we study the variation of the throughput achieved by TCP resulting from both the individual behavior of a connection and the interaction with all other connections sharing the same link. In particular, we calculate the tail distribution function (TDF) of the instantaneous throughput seen by one TCP connection in the additive increase ...
Augustin Chaintreau +1 more
openaire +1 more source
Modelling stem cell differentiation related processes—A practical overview for biologists
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
Liquid biopsy‐based diagnostic evaluation of hypermethylated CpG sites for ovarian cancer diagnosis
This schematic outlines the workflow from biomarker identification to duplex MethyLight assay validation for epithelial ovarian cancer diagnosis using cfDNA‐based liquid biopsy. Initial screening of hypermethylated CpG candidates (cg02957270, cg10061138 cg00480298, COL2A1) was performed in tissue using ARMS‐PCR, COBRA, qPCR and image analysis. Selected
Deepa Bisht +3 more
wiley +1 more source
Iterative and Non-Iterative Theoretical Closed Forms Discrete Cosine Transform-Based Incremental LMS
Novel closed-form expressions of the discrete cosine transform (DCT)-based iterative and non-iterative incremental least mean square (DCTILMS) algorithms are derived here for wireless sensor networks (WSNs) and agent localization. As a direct application
Ali Almohammedi +2 more
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