Results 21 to 30 of about 2,808,612 (231)

On the monotonicity of games generated by symmetric submodular functions

Discrete Applied Mathematics, 2001
Submodular functions have appeared to be a key tool for proving the monotonicity of several graph searching games. In this paper we provide a general game theoretic framework able to unify old and new monotonicity results in a unique min-max theorem. Our theorem, provides a game theoretic analogue to a wide number of graph theoretic parameters such as ...
Fedor V. Fomin, Dimitrios M. Thilikos
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The characterization of monotone functions that generate associative functions

Fuzzy Sets and Systems
17 ...
Meng Chen, Yun-Mao Zhang, Xue-ping Wang 0001   +2 more
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CONES OF MONOTONE FUNCTIONS GENERATED BY A GENERALIZED FRACTIONAL MAXIMAL FUNCTION

Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics
In this paper, we consider the generalized fractional maximal function and use it to introduce the space of generalized fractional maximal functions and the various cones of monotone functions generated by generalized fractional maximal functions $M_Φf$. We introduced three function classes.
Bokayev, N. A., Gogatishvili, A. (Amiran), Abek, A. N.   +2 more
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Monotonicity of generalized Furuta type functions [PDF]

Operators and Matrices, 2012
The monotonicity of generalized Furuta type operator function Fs0 (r,s) =C −r 2 (C r 2 (A t 2 BpA t 2 )sC −r 2 ) (p+t)s0+r (p+t)s+r C −r 2 is discussed via the equivalent relations between operator inequalities. Let −1 t 0 . It is shown that, for each s0 such that t p+t < s0 , the function Fs0 (r,s) is decreasing for both r −t and s max{1,s0 ...
Jiangtao Yuan, Guoxing Ji
openaire   +1 more source

A generation method for completely monotone functions

Applicable Analysis and Discrete Mathematics, 2019
In this article we present technique how to produce completely monotone functions using linear functionals and already known families of completely monotone functions. After that, using mean value theorems, we construct means of Cauchy type that have monotonicity properties.
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Evaluation of Digital Technologies for Home‐Based Assessment in People With Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Digital technologies hold promise for transforming healthcare by enhancing personalized treatments and offer valuable opportunities to improve patient care. Here, we evaluated several novel, self‐administered, home‐based, digital endpoints for their association with corresponding conventional standard clinical measures (primary) in ...
Arne Mueller, Vanessa Vallejo, Mónica Povedano Panadés, Orla Hardiman, Véronique Danel‐Brunaud, Senda Ajroud‐Driss, Philippe Couratier, Jeremy Shefner, Anna Gokey, Mike DiCesare, Erin Lennox, Jens Praestgaard, Lucie Brujin, Peggy Allred, Ram Miller   +14 more
wiley   +1 more source

Sex‐Stratified Association of Regional Dopamine Transporter Binding With Disease Progression in Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To clarify the clinical relevance of dopamine transporter single‐photon emission computed tomography (DAT‐SPECT) abnormalities in amyotrophic lateral sclerosis (ALS), with a prespecified focus on sex‐stratified associations with disease progression and short‐term prognosis.
Tomoya Kawazoe, Keizo Sugaya, Kentaro Hayashi, Keiko Hino, Yasuhiro Nakata, Kota Bokuda, Toshio Shimizu, Kazushi Takahashi   +7 more
wiley   +1 more source

White Matter and Perivascular Imaging Changes in Alzheimer's Disease and Cerebral Amyloid Angiopathy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Peak‐width of skeletonized mean diffusivity (PSMD) and diffusion tensor imaging–analysis along the perivascular space (DTI‐ALPS), reflecting white matter integrity and glymphatic function, are altered in Alzheimer's disease (AD).
Debina Laishram, Guangwei Du, Sangam Kanekar, Nandakumar Nagaraja   +3 more
wiley   +1 more source

On Singular Generalized Absolutely Monotone Functions

Journal of Approximation Theory, 1994
Let \(\{u_ i\}^ \infty_{i=0}\) be an infinite sequence of functions belonging to \(C^ \infty [a,b]\), such that for all \(n\), \(n = 0,1, \dots, \{u_ i\}^ n_{\ell = 0}\) form an extended Chebyshev system on \([a,b]\). We assume that \(u_ i(t) = \varphi_ i (t;a)\), \(i = 0,1,2, \dots\), where \[ \varphi_ 0 (t;x) = \begin{cases} 0 & a \leq t < x \\ w_ 0 ...
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Data‐Driven SuStaIn Model of Disability Progression in Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To determine whether ordinal Subtype and Stage Inference (SuStaIn) applied to routine ALSFRS‐R item scores can identify reproducible disability progression patterns in amyotrophic lateral sclerosis (ALS) and provide clinically meaningful staging.
Giammarco Milella, Veria Vacchiano, Vittorio Velucci, Stefano Zoccolella, Rocco Liguori, Giovanni Defazio   +5 more
wiley   +1 more source