Results 61 to 70 of about 11,287,559 (375)

Scoliosis Surgery in a Patient With Advanced Friedreich's Ataxia—It Is Not Too Late

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Friedreich's ataxia is a multisystem disorder with scoliosis being the most common non‐neurological manifestation. While scoliosis surgery is typically performed in adolescent, ambulatory patients, few data exist on surgical outcomes in patients with advanced disease.
Kathrin Reetz   +20 more
wiley   +1 more source

Convex Functions and Spacetime Geometry

open access: yes, 2001
Convexity and convex functions play an important role in theoretical physics. To initiate a study of the possible uses of convex functions in General Relativity, we discuss the consequences of a spacetime $(M,g_{\mu \nu})$ or an initial data set $(\Sigma,
  +12 more
core   +2 more sources

Insights Into the Antigenic Repertoire of Unclassified Synaptic Antibodies

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective We sought to characterize the sixth most common finding in our neuroimmunological laboratory practice (tissue assay‐observed unclassified neural antibodies [UNAs]), combining protein microarray and phage immunoprecipitation sequencing (PhIP‐Seq). Methods Patient specimens (258; 133 serums; 125 CSF) meeting UNA criteria were profiled;
Michael Gilligan   +22 more
wiley   +1 more source

Cosine Similarity Measure According to a Convex Cost Function [PDF]

open access: yes, 2014
In this paper, we describe a new vector similarity measure associated with a convex cost function. Given two vectors, we determine the surface normals of the convex function at the vectors.
Akbas, Cem Emre   +2 more
core  

A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality

open access: yesПроблемы анализа, 2019
A characterization of h-convex function via Hermite-Hadamard inequality related to the h-convex functions is investigated. In fact it is determined that under what conditions a function is h-convex, if it satisfies the h-convex version of Hermite ...
Delavar M. Rostamian   +2 more
doaj   +1 more source

Generalization of some fractional versions of Hadamard inequalities via exponentially (α,h−m)-convex functions

open access: yesAIMS Mathematics, 2021
In this paper we give Hadamard inequalities for exponentially (α,h−m)-convex functions using Riemann-Liouville fractional integrals for strictly increasing function.
Yu-Pei Lv   +4 more
doaj   +1 more source

Subordination by convex functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
The following theorem is proven: Let F ( z ) F(z) be convex and univalent in Δ = { z : | z | > 1 } , F ( 0 ) = 1 \Delta = \{ z:|z| > 1\} ,F(0)
Hallenbeck, D. J., Ruscheweyh, Stephan
openaire   +2 more sources

Data‐Driven Distributed Safe Control Design for Multi‐Agent Systems

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
This paper presents a data‐driven control barrier function (CBF) technique for ensuring safe control of multi‐agent systems (MASs) with uncertain linear dynamics. A data‐driven quadratic programming (QP) optimization is first developed for CBF‐based safe control of single‐agent systems using a nonlinear controller. This approach is then extended to the
Marjan Khaledi, Bahare Kiumarsi
wiley   +1 more source

A universal bound on the variations of bounded convex functions [PDF]

open access: yes, 2015
Given a convex set $C$ in a real vector space $E$ and two points $x,y\in C$, we investivate which are the possible values for the variation $f(y)-f(x)$, where $f:C\longrightarrow [m,M]$ is a bounded convex function. We then rewrite the bounds in terms of
Kwon, Joon
core  

Approximation of Convex Functions

open access: yesReal Analysis Exchange, 2004
It is known [\textit{M. Ghomi}, Proc. Am. Math. Soc. 130, No.~8, 2255--2259 (2002; Zbl 0999.26008)] that every convex function on an open interval \(I\) can be uniformly approximated by convex \(C^\infty\)-functions on every compact subinterval \([a,b]\) of \(I\). Ghomi's approach requires the knowledge of Lebesgue integral and convolutions. The aim of
openaire   +2 more sources

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