Results 51 to 60 of about 2,304,071 (294)

The isoperimetric inequality on asymptotically flat manifolds with nonnegative scalar curvature

, 2015
In this note, we consider the isoperimetric inequality on an asymptotically flat manifold with nonnegative scalar curvature, and improve it by using Hawking mass.
Shi, Yuguang
core   +1 more source

Contact manifolds, Lagrangian Grassmannians and PDEs

Complex Manifolds, 2018
In this paper we review a geometric approach to PDEs. We mainly focus on scalar PDEs in n independent variables and one dependent variable of order one and two, by insisting on the underlying (2n + 1)-dimensional contact manifold and the so-called ...
Eshkobilov Olimjon, Manno Gianni, Moreno Giovanni, Sagerschnig Katja   +3 more
doaj   +1 more source

A Higher Order Chebyshev-Halley-Type Family of Iterative Methods for Multiple Roots

Mathematics, 2019
The aim of this paper is to introduce new high order iterative methods for multiple roots of the nonlinear scalar equation; this is a demanding task in the area of computational mathematics and numerical analysis. Specifically, we present a new Chebyshev&
Ramandeep Behl, Eulalia Martínez, Fabricio Cevallos, Diego Alarcón   +3 more
doaj   +1 more source

Wheeler-DeWitt Quantization of Gravity Models of Unified Dark Energy and Dark Matter

, 2017
First, we describe the construction of a new type of gravity-matter models based on the formalism of non-Riemannian space-time volume forms - alternative generally covariant integration measure densities (volume elements) defined in terms of auxiliary ...
Bryce S. DeWitt, N. A. Bahcall, Nima Arkani-Hamed, P. J. E. Peebles   +3 more
core   +1 more source

Detecting homologous recombination deficiency for breast cancer through integrative analysis of genomic data

Molecular Oncology, EarlyView.
This study develops a semi‐supervised classifier integrating multi‐genomic data (1404 training/5893 validation samples) to improve homologous recombination deficiency (HRD) detection in breast cancer. Our method demonstrates prognostic value and predicts chemotherapy/PARP inhibitor sensitivity in HRD+ tumours.
Rong Zhu, Katherine Eason, Suet‐Feung Chin, Paul A. W. Edwards, Raquel Manzano Garcia, Richard Moulange, Jia Wern Pan, Soo Hwang Teo, Sach Mukherjee, Maurizio Callari, Carlos Caldas, Stephen‐John Sammut, Oscar M. Rueda   +12 more
wiley   +1 more source

Learning mathematics with personal mobile devices in school: a multigroup invariance analysis of acceptance among students and teachers

Frontiers in Education
Students’ use of personal mobile devices (PMDs), including smartphones, tablets, and laptops, in mathematics classrooms globally has become feasible due to the implementation of the bring your own device (BYOD) initiatives and policies in schools ...
Cloneria Nyambali Jatileni, Sari Havu-Nuutinen, Susanna Pöntinen, Jari Kukkonen   +3 more
doaj   +1 more source

Enabling visually impaired people to learn three-dimensional tactile graphics with a 3DOF haptic mouse

Journal of NeuroEngineering and Rehabilitation, 2021
Background In this work, we present a novel sensory substitution system that enables to learn three dimensional digital information via touch when vision is unavailable. The system is based on a mouse-shaped device, designed to jointly perceive, with one
Mariacarla Memeo, Marco Jacono, Giulio Sandini, Luca Brayda   +3 more
doaj   +1 more source

Production of scalar {ital K{bar K}} molecules in {phi} radiative decays [PDF]

, 1996
The potentialities of the production of the scalar K{bar K} molecules in {phi} radiative decays are considered beyond the narrow resonance width approximation. It is shown that B{bold (}{phi}{r_arrow}{gamma}f{sub 0}(a{sub 0}){r_arrow}{gamma}{pi}{pi}({pi}{
N.N.Achasov, V.V.Gubin, V.I.Shevchenko S.L.Sobolev Institute for Mathematics, Novosibirsk, Institute for Theoretical, E. Physics, Moscow   +6 more
semanticscholar   +1 more source

Decrypting cancer's spatial code: from single cells to tissue niches

Molecular Oncology, EarlyView.
Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik, Shi Pan, Eloise Withnell, Hou Wang Lam, Maria Secrier   +4 more
wiley   +1 more source

On the computation of the term $w_{21}z^2\bar{z}$ of the series defining the center manifold for a scalar delay differential equation

, 2011
In computing the third order terms of the series of powers of the center manifold at an equilibrium point of a scalar delay differential equation, with a single constant delay $r>0,$ some problems occur at the term $w_{21}z^2\bar{z}.$ More precisely, in ...
Anca-Veronica Ion, J. Hale, J. Hale, T. Faria, W. Wischert   +4 more
core   +1 more source