Results 31 to 40 of about 2,427,063 (305)
λ–Algebra with Some of Their Properties
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2020 The objective of this paper is, firstly, we study a new concept noted by algebra and discuss the properties of this concept. Secondly, we introduce a new concept related to the algebra such as smallest algebra.
Hassan Hussien Ebrahim +1 more
doaj +1 more source
On a New Kind of Collection of Subsets Noted by δ–field and Some Concepts Defined on δ–field
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019 The objective of this paper is, first, study a new collection of sets such as field and we discuss the properties of this collection. Second, introduce a new concepts related to the field such as measure on field, outer measure on field and we ...
Hassan H. Ebrahim, Ibrahim S. Ahmed
doaj +1 more source
Journal of Function Spaces, 2021 In this paper, we establish several random fixed point theorems for random operators satisfying some iterative condition w.r.t. a measure of noncompactness. We also discuss the case of monotone random operators in ordered Banach spaces.
Adil El-Ghabi +2 more
doaj +1 more source
Simplifying Monotonicity Conditions for Entanglement Measures [PDF]
Open Systems & Information Dynamics, 2005 We show that for a convex function the following, rather modest conditions, are equivalent to monotonicity under local operations and classical communication. The conditions are: (i) invariance under local unitaries, (ii) invariance under adding local ancilla in arbitrary state (iii) on mixtures of states possessing local orthogonal flags the function
openaire +4 more sources
Absolute Continuity of Fuzzy Measures and Convergence of Sequence of Measurable Functions
Mathematics, 2020 In this note, the convergence of the sum of two convergent sequences of measurable functions is studied by means of two types of absolute continuity of fuzzy measures, i.e., strong absolute continuity of Type I, and Type VI.
Jun Li
doaj +1 more source
Relaxation methods for optimal control problems [PDF]
Bulletin of Mathematical Sciences, 2020 We consider a nonlinear optimal control problem with dynamics described by a differential inclusion involving a maximal monotone map A : ℝN → 2ℝN. We do not assume that D(A) = ℝN, incorporating in this way systems with unilateral constraints in our ...
Nikolaos S. Papageorgiou +2 more
doaj +1 more source
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 +14 more
wiley +1 more source
Some inequalities for operator monotone functions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 In this paper we show that, if that the function f : [0, ∞) → 𝔾 is operator monotone in [0, ∞) then there exist b ≥ 0 and a positive measure m on [0, ∞) such that [f(B)-f(A)](B-A)==b(B-A)2+∫0∞s2[∫01[((1-t)A+tB+s)-1(B-A)]2dt]dm(s)\matrix{ {\left[ {f ...
Dragomir Silvestru Sever
doaj +1 more source
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 +7 more
wiley +1 more source