Results 21 to 30 of about 170,012 (254)
Experimental mathematics meets gravitational self-force
Physical Review D, 2015 It is now possible to compute linear in mass-ratio terms in the post-Newtonian (PN) expansion for compact binaries to very high orders using black hole perturbation theory applied to various invariants. For instance, a computation of the redshift invariant of a point particle in a circular orbit about a black hole in linear perturbation theory gives ...
Johnson-McDaniel, Nathan K. +2 more
openaire +3 more sources
Open questions about Ramsey-type statements in reverse mathematics [PDF]
, 2015 Ramsey's theorem states that for any coloring of the n-element subsets of N with finitely many colors, there is an infinite set H such that all n-element subsets of H have the same color.
Patey, Ludovic
core +4 more sources
Strolling through Paradise [PDF]
, 1994 With each of the usual tree forcings I (e.g., I = Sacks forcing S, Laver forcing L, Miller forcing M, Mathias forcing R, etc.) we associate a sigma--ideal i^0 on the reals as follows: A \in i^0 iff for all T \in I there is S \leq T (i.e.
Brendle, Jörg
core +3 more sources
Consecutive singular cardinals and the continuum function [PDF]
, 2012 We show that from a supercompact cardinal \kappa, there is a forcing extension V[G] that has a symmetric inner model N in which ZF + not AC holds, \kappa\ and \kappa^+ are both singular, and the continuum function at \kappa\ can be precisely controlled ...
Apter, Arthur W., Cody, Brent
core +2 more sources
A five element basis for the uncountable linear orders
, 2005 In this paper I will show that it is relatively consistent with the usual axioms of mathematics (ZFC) together with a strong form of the axiom of infinity (the existence of a supercompact cardinal) that the class of uncountable linear orders has a five ...
Moore, Justin Tatch
core +1 more source
MATHEMATICAL MODELS OF CUTTING FORCES DURING TURNING
Bulletin of the South Ural State University series "Mechanical engineering industry", 2023 This paper considers the predictive determination of the cutting force components for non-free cutting during turning. It has been established that plastic deformation and friction along the rear surfaces adjacent to the main and auxiliary cutting edges of the tool influence the magnitude and direction of the action of the component .
V.I. Guzeev, I.P. Deryabin
openaire +1 more source
Exact solutions and physical analogies for unidirectional flows
, 2016 Unidirectional flow is the simplest phenomenon of fluid mechanics. Its mathematical description, the Dirichlet problem for Poisson's equation in two dimensions with constant forcing, arises in many physical contexts, such as the torsion of elastic beams,
Bazant, Martin Z.
core +1 more source
The weakness of being cohesive, thin or free in reverse mathematics [PDF]
, 2016 Informally, a mathematical statement is robust if its strength is left unchanged under variations of the statement. In this paper, we investigate the lack of robustness of Ramsey's theorem and its consequence under the frameworks of reverse mathematics ...
Patey, Ludovic
core +3 more sources
Molecular Oncology, EarlyView.Single circulating tumor cells (sCTCs) from high‐grade serous ovarian cancer patients were enriched, imaged, and genomically profiled using WGA and NGS at different time points during treatment. sCTCs revealed enrichment of alterations in Chromosomes 2, 7, and 12 as well as persistent or emerging oncogenic CNAs, supporting sCTC identity.
Carolin Salmon +9 more
wiley +1 more source
Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
wiley +1 more source