We study the computational complexity certification of inexact gradient augmented Lagrangian methods for solving convex optimization problems with complicated constraints. We solve the augmented Lagrangian dual problem that arises from the relaxation of complicating constraints with gradient and fast gradient methods based on inexact first order information. Moreover, since the exact solution o...

in this paper, we study spacelike dual biharmonic curves. we characterize spacelike dual biharmonic curves in terms of their curvature and torsion in the lorentzian dual heisenberg group . we give necessary and sufficient conditions for spacelike dual biharmonic curves in the lorentzian dual heisenberg group . therefore, we prove that all spacelike dual biharmonic curves are spacelike dual heli...

Purpose: The integration of health or social services is an enduring challenge and especially so in relation to the people experiencing 'dual diagnosis', the co‐occurrence of mental health and substance use problems. The emergence of the ‘dual diagnosis’ concept has highlighted the tension between specialist treatment for single problems and complex, individualised care. This paper examines the...

In this paper, we introduce the concept of $g$-dual frames for Hilbert $C^{*}$-modules, and then the properties and stability results of $g$-dual frames  are given.  A characterization of $g$-dual frames, approximately dual frames and dual frames of a given frame is established. We also give some examples to show that the characterization of $g$-dual frames for Riesz bases in Hilbert spaces is ...

Searching simultaneously for metal threats (guns and knives) and improvised explosive devices (IEDs) in X-ray images is less effective than 2 independent single-target searches, 1 for metal threats and 1 for IEDs. The goals of this study were to (a) replicate this dual-target cost for categorical targets and to determine whether the cost remains when X-ray images overlap, (b) determine the role...

У статті визначено основні аспекти організації дуальної форми здобуття освіти в Україні. Проаналізовано моделі системи провідних країнах світу. Визначено, що саме дуальна форма може стати вирішенням проблем сьогодення у взаємовідносинах між навчальним закладом, здобувачем та роботодавцем. Метою є визначення переваг недоліків для всіх учасників її організації. Методика. Для вирішення даної науко...