Results 61 to 70 of about 16,555,549 (335)
Rational first integrals of geodesic equations and generalised hidden symmetries [PDF]
, 2016 We discuss novel generalisations of Killing tensors, which are introduced by considering rational first integrals of geodesic equations. We introduce the notion of inconstructible generalised Killing tensors, which cannot be constructed from ordinary ...
Arata Aoki +2 more
semanticscholar +1 more source
The First Mean Value Theorem for Integrals [PDF]
Formalized Mathematics, 2008 For simplicity, we use the following convention: X is a non empty set, S is a σ-field of subsets of X, M is a σ-measure on S, f , g are partial functions from X to R, and E is an element of S. One can prove the following three propositions: (1) If for every element x of X such that x ∈ dom f holds f(x) ≤ g(x), then g − f is non-negative.
Keiko Narita +2 more
openaire +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Objective To evaluate selumetinib exposure using therapeutic drug monitoring (TDM) in pediatric patients with neurofibromatosis type 1 (NF1) and plexiform neurofibromas (PN), assess interpatient pharmacokinetic variability, and explore the relationship between drug exposure, clinical response, and adverse effects.
Janka Kovács +8 more
wiley +1 more source
Symmetry Classification of First Integrals for Scalar Linearizable Second-Order ODEs
Journal of Applied Mathematics, 2012 Symmetries of the fundamental first integrals for scalar second-order ordinary differential equations (ODEs) which are linear or linearizable by point transformations have already been obtained.
K. S. Mahomed, E. Momoniat
doaj +1 more source
Formulas for the arithmetic geometric mean of curves of genus 3
, 2004 The arithmetic geometric mean algorithm for calculation of elliptic integrals of the first type was introduced by Gauss. The analog algorithm for Abelian integrals of genus 2 was introduced by Richelot (1837) and Humbert (1901).
Lehavi, D., Ritzenthaler, C.
core +2 more sources
Meromorphic and formal first integrals for the Lorenz system
Journal of Nonlinear Mathematical Physics, 2018 The Lorenz system , is completely integrable with two functional independent first integrals when σ = 0 and β, r arbitrary. In this paper, we study the integrability of the Lorenz system when σ,β, r take the remaining values.
Kaiyin Huang, S. Shi, Wenlei Li
semanticscholar +1 more source
GRB 021125: The first GRB imaged by INTEGRAL [PDF]
Astronomy & Astrophysics, 2003 4 pages, 5 figures.
Malaguti, G. +14 more
openaire +4 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Objective To evaluate the diagnostic yield and utility of universal paired tumor–normal multigene panel sequencing in newly diagnosed pediatric solid and central nervous system (CNS) tumor patients and to compare the detection of germline pathogenic/likely pathogenic variants (PV/LPVs) against established clinical referral criteria for cancer ...
Natalie Waligorski +9 more
wiley +1 more source
The problem of first integral of nonholonomic systems
Vietnam Journal of Mechanics, 2001 In this paper, the problem of first integrals of a nonholonomic system is discussed. The aim of this work is concentra.ted on finding the condition for existence of first integrals.
Do Sanh
doaj +1 more source
Towards a Basis for Planar Two-Loop Integrals
, 2011 The existence of a finite basis of algebraically independent one-loop integrals has underpinned important developments in the computation of one-loop amplitudes in field theories and gauge theories in particular. We give an explicit construction reducing
Gluza, Janusz +2 more
core +1 more source