Results 21 to 30 of about 295,758 (246)
RG flows, cycles, and c-theorem folklore
Monotonic renormalization group flows of the "c" and "a" functions are often cited as reasons why cyclic or chaotic coupling trajectories cannot occur. It is argued here, based on simple examples, that this is not necessarily true. Simultaneous monotonic
A. B Zamolodchikov+3 more
core +1 more source
On the Laplace transform of absolutely monotonic functions
We obtain necessary and sufficient conditions on a function in order that it be the Laplace transform of an absolutely monotonic function.
Koumandos, Stamatis, Pedersen, Henrik L.
core +1 more source
The monotonicity of the permanent function
AbstractLet Ωn denote the set of all n × n doubly stochastic matrices and let Jn = [1/n]n × n. It is conjectured that, for any S ϵ Ωn, the permanent function is monotone increasing on the straight line segment from Jn to S, or equivalently that for any θ, 0 ⩽ θ ⩽ 1, per[(1 − θ)Jn + θS] ⩽ per S for all S ϵ Ωn.
openaire +2 more sources
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+12 more
wiley +1 more source
Piecewise rational quadratic interpolation to monotonic data [PDF]
An explicit representation of a piecewise rational quadratic function is developed which produces a monotonic interpolant to given monotonic data. The explicit representation means that the piecewise monotonic interpolant is easily constructed and ...
Delbourgo, R, Gregory, JA
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On the inevitability of the consistency operator
We examine recursive monotonic functions on the Lindenbaum algebra of $\mathsf{EA}$. We prove that no such function sends every consistent $\varphi$ to a sentence with deductive strength strictly between $\varphi$ and $(\varphi\wedge\mathsf{Con}(\varphi))
Montalbán, Antonio, Walsh, James
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Abstract Background The aim of this study was to thoroughly analyze the reproducibility of radiomics feature extraction across three Image Biomarker Standardization Initiative (IBSI)‐compliant platforms using a digital phantom for benchmarking. It uncovers high consistency among common features while also pointing out the necessity for standardization ...
Han‐Back Shin+5 more
wiley +1 more source
Rational quadratic spline interpolation to monotonic data. [PDF]
In an earlier paper by Gregory & Delbourgo (1982), a piecewise rational quadratic function is developed which produces a monotonic interpolant to monotonic data. This interpolant gives visually pleasing curves and is of continuity class C1 .
Delbourgo, R, Gregory, JA
core
In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia+2 more
wiley +1 more source
Comments on Holographic Entanglement Entropy and RG Flows
Using holographic entanglement entropy for strip geometry, we construct a candidate for a c-function in arbitrary dimensions. For holographic theories dual to Einstein gravity, this c-function is shown to decrease monotonically along RG flows.
A Adams+101 more
core +1 more source