Results 51 to 60 of about 7,995,582 (334)

Optimal Formula about Ordering the Random Variables Problem [PDF]

Eurasian Journal of Science and Engineering, 2018
In this paper, we propose an algorithm about ordering the random variables into order statistics and find the simple formula of multi order statistics joint probability distribution and endeavor to prove it mathematically.
Ivan S. Latif
doaj   +1 more source

On Polymer Statistical Mechanics: From Gaussian Distribution to Maxwell-Boltzmann Distribution to Fermi-Dirac Distribution [PDF]

arXiv, 2023
Macroscopic mechanical properties of polymers are determined by their microscopic molecular chain distribution. Due to randomness of these molecular chains, probability theory has been used to find their micro-states and energy distribution. In this paper, aided by central limit theorem and mixed Bayes rule, we showed that entropy elasticity based on ...
arxiv  

Evaluation of dosimetric and spatial accuracy of a virtual cone technique for radiosurgery using linac‐integrated CBCT‐based polymer gel dosimetry

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose This study evaluates the dosimetric and geometric precision of a virtual cone technique using CBCT‐based polymer gel dosimetry, enabling radiation delivery, and imaging readout within an identical spatial coordinate system. Methods We created a C# script for a virtual cone technique that generates a treatment plan with 10 gantry arcs ...
Tenzin Kunkyab, Michael Lamey, Andrew Jirasek, Michael Kudla, Nathan Becker, Benjamin Mou, Derek Hyde   +6 more
wiley   +1 more source

Comprehensive clinical evaluation of novel 4DCT‐based lung function imaging methods

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose Methods have been developed that apply image processing to 4DCTs to generate 4DCT‐ventilation/perfusion lung imaging. Traditional methods for 4DCT‐ventilation rely on Hounsfield‐Unit (HU) density‐change methods and suffer from poor numerical robustness while not providing 4DCT‐perfusion data.
Ehsan Golkar, Taindra Neupane, Lydia Wilson, Jennifer Kwak, Richard Castillo, Edward Castillo, Yevgeniy Vinogradskiy   +6 more
wiley   +1 more source

The Approximation of Sum of Independent Distributions by the Erlang Distribution Function

Nonlinear Analysis, 2002
The exponential distribution and the Erlang distribution function are been used in numerous areas of mathematics, and specifically in the queueing theory.
Antanas Karoblis
doaj   +1 more source

Novel CT radiomics models for the postoperative prediction of early recurrence of resectable pancreatic adenocarcinoma: A single‐center retrospective study in China

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose To assess the predictive capability of CT radiomics features for early recurrence (ER) of pancreatic ductal adenocarcinoma (PDAC). Methods Postoperative PDAC patients were retrospectively selected, all of whom had undergone preoperative CT imaging and surgery. Both patients with resectable or borderline‐resectable pancreatic cancer met
Xinze Du, Yongsu Ma, Kexin Wang, Xiejian Zhong, Jianxin Wang, Xiaodong Tian, Xiaoying Wang, Yinmo Yang   +7 more
wiley   +1 more source

Topics in Random Matrix Theory

, 2012
The field of random matrix theory has seen an explosion of activity in recent years, with connections to many areas of mathematics and physics. However, this makes the current state of the field almost too large to survey in a single book.
T. Tao
semanticscholar   +1 more source

Using deep learning generated CBCT contours for online dose assessment of prostate SABR treatments

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Prostate Stereotactic Ablative Body Radiotherapy (SABR) is an ultra‐hypofractionated treatment where small setup errors can lead to higher doses to organs at risk (OARs). Although bowel and bladder preparation protocols reduce inter‐fraction variability, inconsistent patient adherence still results in OAR variability.
Conor Sinclair Smith, Isabelle Gagne, Karl Otto, Carter Kolbeck, Joshua Giambattista, Abraham Alexander, Sonja Murchison, Andrew Pritchard, Erika Chin   +8 more
wiley   +1 more source

Do It by Yourself: An Instructional Derivation of the Laplacian Operator in Spherical Polar Coordinates

Mathematics, 2021
For scientists and engineers, the Laplacian operator is a fundamental tool that has made it possible to carry out important frontier studies involving wave propagation, potential theory, heat conduction, the distribution of stresses in a deformable solid
Ana Laura Pérez-Martínez, Maria del Pilar Aguilar-Del-Valle, Arturo Rodríguez-Gomez   +2 more
doaj   +1 more source

Quant GANs: deep generation of financial time series [PDF]

Quantitative finance (Print), 2019
Modeling financial time series by stochastic processes is a challenging task and a central area of research in financial mathematics. As an alternative, we introduce Quant GANs, a data-driven model which is inspired by the recent success of generative ...
Magnus Wiese, R. Knobloch, R. Korn, Peter Kretschmer   +3 more
semanticscholar   +1 more source