Results 91 to 100 of about 6,719,781 (362)
Cosmological meaning of geometric curvatures
In this paper, we analyzed the physical meaning of scalar curvatures for a generalized Riemannian space. It is developed the Madsen?s formulae for pressures and energy-densities with respect to the corresponding energy-momentum tensors. After that, the energy-momentum tensors, pressures, energy-densities and state-parameters are analyzed ...
openaire +3 more sources
ABSTRACT Objective Facioscapulohumeral muscular dystrophy type 1 (FSHD1) is a progressive neuromuscular disorder with no approved treatments. Identifying reliable biomarkers is critical to monitor disease severity, activity, and progression. Interleukin‐6 (IL‐6) has been proposed as a candidate biomarker, but longitudinal validation is limited ...
Jonathan Pini +13 more
wiley +1 more source
Some weighted operator geometric mean inequalities
In this paper, using the extended Holder- -McCarthy inequality, several inequalities involving the α-weighted geometric mean ...
Alemeh Sheikhhosseini +2 more
doaj
Information Geometric Approach on Most Informative Boolean Function Conjecture
Let X n be a memoryless uniform Bernoulli source and Y n be the output of it through a binary symmetric channel. Courtade and Kumar conjectured that the Boolean function f : { 0 , 1 } n → { 0 , 1 } that maximizes the ...
Albert No
doaj +1 more source
Geometric mean extension for data sets with zeros
There are numerous examples in different research fields where the use of the geometric mean is more appropriate than the arithmetic mean. However, the geometric mean has a serious limitation in comparison with the arithmetic mean.
de la Cruz, Roberto, Kreft, Jan-Ulrich
core
Continued fraction digit averages an Maclaurin's inequalities [PDF]
A classical result of Khinchin says that for almost all real numbers $\alpha$, the geometric mean of the first $n$ digits $a_i(\alpha)$ in the continued fraction expansion of $\alpha$ converges to a number $K = 2.6854520\ldots$ (Khinchin's constant) as ...
Cellarosi, Francesco +3 more
core +1 more source
Additive versus multiplicative parameters - applications in economics and finance
In this paper, we pay our attention to geometric parameters and their applications in economics and finance. We discuss the multiplicative models in which a geometric mean and a geometric standard deviation are more natural than arithmetic ones.
Jasiulewicz, Helena, Kordecki, Wojciech
core +1 more source
Higher Amyloid and Tau Burden Is Associated With Faster Decline on a Digital Cognitive Test
ABSTRACT Objective A 2‐min digital clock‐drawing test (DCTclock) captures more granular features of the clock‐drawing process than the pencil‐and‐paper clock‐drawing test, revealing more subtle deficits at the preclinical stage of Alzheimer's disease (AD). A previous cross‐sectional study demonstrated that worse DCTclock performance was associated with
Jessie Fanglu Fu +16 more
wiley +1 more source
Network Decomposition and Complexity Measures: An Information Geometrical Approach
We consider the graph representation of the stochastic model with n binary variables, and develop an information theoretical framework to measure the degree of statistical association existing between subsystems as well as the ones represented by each ...
Masatoshi Funabashi
doaj +1 more source
Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes [PDF]
Spacelike hypersurfaces of prescribed mean curvature in cosmological space times are constructed as asymptotic limits of a geometric evolution equation. In particular, an alternative, constructive proof is given for the existence of maximal and constant ...
Ecker, K., Huisken, G.
core

