Results 61 to 70 of about 4,468,061 (331)
Quantum Calogero-Moser systems: a view from infinity
Various infinite-dimensional versions of Calogero-Moser operator are discussed in relation with the theory of symmetric functions and representation theory of basic classical Lie superlagebras. This is a version of invited talk given by the second author
Sergeev, A. N., Veselov, A. P.
core +1 more source
Nonclassical equations of mathematical physics. Linear Sobolev type equations of higher order
The article presents the review of authors’ results in the field of non-classical equations of mathematical physics. The theory of Sobolev-type equations of higher order is introduced. The idea is based on generalization of degenerate operator semigroups
A. Zamyshlyaeva, G. Sviridyuk
semanticscholar +1 more source
Bone‐wise rigid registration of femur, tibia, and fibula for the tracking of temporal changes
Abstract Background Multiple myeloma (MM) induces temporal alterations in bone structure, such as osteolytic bone lesions, which are challenging to identify through manual image interpretation. The large variation in radiologists' assessments, even at expert centers, further complicates diagnosis.
Arttu Ruohola+5 more
wiley +1 more source
Abstract Purpose This study evaluates the technical feasibility of adapting a surface monitoring system, designed for conventional four‐dimensional computed tomography (4DCT), to an intelligent, breathing‐adapted 4DCT and examines its potential to expand the currently limited range of supported surrogate systems.
Niklas Lackner+4 more
wiley +1 more source
Negative flows and non-autonomous reductions of the Volterra lattice [PDF]
We study reductions of the Volterra lattice corresponding to stationary equations for the additional, noncommutative subalgebra of symmetries. It is shown that, in the case of general position, such a reduction is equivalent to the stationary equation ...
V. E. Adler
doaj +1 more source
A remark on the matrix Airy function [PDF]
An integral representation for matrix Airy function is ...
arxiv +1 more source
Abstract Purpose Reducing radiation dose attributed to computed tomography (CT) may compromise the accuracy of organ segmentation, an important step in 177Lu DOTATATE therapy that affects both activity and mass estimates. This study aimed to facilitate CT dose reduction using deep learning methods for patients undergoing serial single photon emission ...
Hung‐Te Yang+2 more
wiley +1 more source
Soliton equations: admitted solutions and invariances via B\"acklund transformations [PDF]
A couple of applications of B\"acklund transformations in the study of nonlinear evolution equations is here given. Specifically, we are concerned about third order nonlinear evolution equations.
Sandra Carillo, Cornelia Schiebold
doaj +1 more source
The Mathematical Universe in a Nutshell [PDF]
The mathematical universe discussed here gives models of possible structures our physical universe can have.
arxiv
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+6 more
wiley +1 more source