Results 11 to 20 of about 1,612,043 (238)

Uniqueness of radiomic features in non‐small cell lung cancer

Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022
Abstract Purpose The uniqueness of radiomic features, combined with their reproducibility, determines the reliability of radiomic studies. This study is to test the hypothesis that radiomic features extracted from a defined region of interest (ROI) are unique to the underlying structure (e.g., tumor). Approach Two cohorts of non‐small cell lung cancer (
Gary Ge, Jie Zhang
wiley   +1 more source

Mathematical Modeling of Group Concurrency in Game Theory

Journal of Computational and Engineering Mathematics, 2015
The approach to an estimation of results of group "competitions" of intellectual agents is described. Petri-Markov models group "competition" are analyzed. Expressions for the determination of the probability density distribution and the participants or groups of participants win or lose "competition" are given.
Alexander S. Novikov, Eugene Larkin, Alexey Ivutin   +2 more
openaire   +2 more sources

Some Relations between Twisted K-theory and E8 Gauge Theory

, 2003
Recently, Diaconescu, Moore and Witten provided a nontrivial link between K-theory and M-theory, by deriving the partition function of the Ramond-Ramond fields of Type IIA string theory from an E8 gauge theory in eleven dimensions. We give some relations
, A. Adams, A. Kapustin, D. S. Freed, D.E. Diaconescu, D.E. Diaconescu, D.S. Freed, D.S. Freed, D.S. Freed, E. Witten, E. Witten, F. Giani, G.W. Moore, Hisham Sati, J. Bismut, J. Evslin, J. Evslin, J. Evslin, J. Rosenberg, J.M. Maldacena, J.M. Maldacena, K. Becker, K. Hori, M. F. Atiyah, M. Huq, M.F. Atiyah, M.F. Atiyah, M.F. Atiyah, M.J. Hopkins, N. Berline, P. Bouwknegt, P. Bouwknegt, P. Horava, P.K. Townsend, R. Bott, R. Minasian, S. Goette, Varghese Mathai, W. Zhang, X. Dai   +39 more
core   +4 more sources

Formalization of the fundamental group in untyped set theory using auto2

, 2017
We present a new framework for formalizing mathematics in untyped set theory using auto2. Using this framework, we formalize in Isabelle/FOL the entire chain of development from the axioms of set theory to the definition of the fundamental group for an ...
A Kornilowicz, A Mahboubi, B Zhan, F Wiedijk, G Lee, JC Blanchette   +5 more
core   +1 more source

Poincaré and the idea of a group [PDF]

, 2012
In many different fields of mathematics and physics Poincaré found many uses for the idea of a group, but not for group theory. He used the idea in his work on automorphic functions, in number theory, in his epistemology, Lie theory (on the so-called ...
Gray, Jeremy
core  

Unraveling epigenetic heterogeneity across gastrointestinal adenocarcinomas through a standardized analytical framework

Molecular Oncology, EarlyView.
This study shows that patients with gastrointestinal adenocarcinomas can be stratified into six distinct subtypes based on genome‐scale DNA methylation profiling. This stratification, achieved using a robust analytical framework, aligns with established tumor characteristics and holds potential to support prognostication.
Rita Pinto, Hege Marie Vedeld, Guro Elisabeth Lind, Marine Jeanmougin   +3 more
wiley   +1 more source

Experimental Mathematics and Mathematical Physics [PDF]

Contemp. Math. 517 (Amer. Math. Soc., 2010), 41--58, 2010
One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the
arxiv   +1 more source

How group theory and school mathematics are connected: an identification of mathematics in-service teachers

Journal of Physics: Conference Series, 2020
Abstract The purpose of the article is to describe the IMTs’ identified mathematical connection between group theory and school mathematics curriculums in Indonesia. The data was gathered from the IMTs who involved in the Teachers Professional Training (TPT) program.
Agnita Siska Pramasdyahsari, Rina Dwi Setyawati, Irkham Ulil Albab   +2 more
openaire   +2 more sources

Signed group orthogonal designs and their applications

, 2015
Craigen introduced and studied {\it signed group Hadamard matrices} extensively in \cite{Craigenthesis, Craigen}. Livinskyi \cite{Ivan}, following Craigen's lead, studied and provided a better estimate for the asymptotic existence of signed group ...
Ghaderpour, Ebrahim
core   +1 more source

High‐precision localization of radiation isocenter using Winston‐Lutz test: Impact of collimator angle, phantom position, and field size

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose This study aimed to evaluate the impact of collimator angle, ball bearing (BB) phantom position, and field size on the accuracy of Winston‐Lutz (WL) test–derived radiation isocenters. Methods WL tests were performed on four TrueBeam linear accelerators.
Weiliang Du
wiley   +1 more source