scholarly journals Semicontinuous functions and convex sets in C(K) spaces

2007 ◽  
Vol 82 (1) ◽  
pp. 111-121 ◽  
Author(s):  
J. P. Moreno
Keyword(s):  
Banach Space ◽  
Compact Space ◽  
Convex Sets ◽  
Minkowski Addition ◽  
Stability Properties ◽  
Compact Spaces ◽  
The Family ◽  
The Stability ◽  
Open Question ◽  
Semicontinuous Functions

AbstractThe stability properties of the family ℳ of all intersections of closed balls are investigated in spaces C(K), where K is an arbitrary Hausdorff compact space. We prove that ℳ is stable under Minkowski addition if and only if K is extremally disconnected. In contrast to this, we show that ℳ is always ball stable in these spaces. Finally, we present a Banach space (indeed a subspace of C[0, 1]) which fails to be ball stable, answering an open question. Our results rest on the study of semicontinuous functions in Hausdorff compact spaces.

scholarly journals Continued fractions built from convex sets and convex functions

2015 ◽  
Vol 17 (05) ◽  
pp. 1550003 ◽  
Author(s):  
Ilya Molchanov
Keyword(s):  
Convex Functions ◽  
Continued Fractions ◽  
Convex Sets ◽  
Sufficient Conditions ◽  
Ordered Semigroup ◽  
Minkowski Addition ◽  
Partially Ordered ◽  
The Family ◽  
Sufficient Conditions For Convergence

In a partially ordered semigroup with the duality (or polarity) transform, it is possible to define a generalization of continued fractions. General sufficient conditions for convergence of continued fractions are provided. Two particular applications concern the cases of convex sets with the Minkowski addition and the polarity transform and the family of non-negative convex functions with the Legendre–Fenchel and Artstein-Avidan–Milman transforms.

scholarly journals Stability theorems for wedges

1971 ◽  
Vol 17 (3) ◽  
pp. 201-214 ◽  
Author(s):  
G. Brown ◽  
J.D. Pryce
Keyword(s):  
Compact Space ◽  
The Real ◽  
Stability Properties ◽  
Stability Theorems ◽  
The Stability ◽  
Image Position ◽  
Uniformly Closed

We are concerned with the stability properties of uniformly closed wedges in C(E) (resp. C+(E)), the real-valued (resp. non-negative) continuous functionson a compact space E, and solve the following problems in this area:(a) Let A be a closed semi-algebra in C+(E) such that

scholarly journals Some stability properties of c0-saturated spaces

1995 ◽  
Vol 118 (2) ◽  
pp. 287-301 ◽  
Author(s):  
Denny H. Leung
Keyword(s):  
Banach Space ◽  
Tensor Product ◽  
Tensor Products ◽  
General Version ◽  
Direct Sums ◽  
Stability Properties ◽  
Infinite Dimensional ◽  
The Stability

AbstractA Banach space is c0-saturated if all of its closed infinite-dimensional subspaces contain an isomorph of c0. In this article, we study the stability of this property under the formation of direct sums and tensor products. Some of the results are: (1) a slightly more general version of the fact that c0-sums of c0-saturated spaces are c0-saturated; (2) C(K, E) is c0-saturated if both C(K) and E are; (3) the tensor product is c0-saturated, where JH is the James Hagler space

Using FRET to Measure the Time it Takes for a Cell to Destroy a Virus

2019 ◽  
Author(s):  
Candace E. Benjamin ◽  
Zhuo Chen ◽  
Olivia Brohlin ◽  
Hamilton Lee ◽  
Stefanie Boyd ◽  
...  
Keyword(s):  
Cellular Uptake ◽  
Rhodamine B ◽  
Virus Like Particle ◽  
A Cell ◽  
Viral Nanoparticles ◽  
The Stability ◽  
Open Question ◽  
Viral Surface ◽  
Fret Pair

<div><div><div><p>The emergence of viral nanotechnology over the preceding two decades has created a number of intellectually captivating possible translational applications; however, the in vitro fate of the viral nanoparticles in cells remains an open question. Herein, we investigate the stability and lifetime of virus-like particle (VLP) Qβ - a representative and popular VLP for several applications - following cellular uptake. By exploiting the available functional handles on the viral surface, we have orthogonally installed the known FRET pair, FITC and Rhodamine B, to gain insight of the particle’s behavior in vitro. Based on these data, we believe VLPs undergo aggregation in addition to the anticipated proteolysis within a few hours of cellular uptake.</p></div></div></div>

Examining perceptions of stress, wellbeing and fear among Hungarian adolescents and their parents under lockdown during the COVID-19 pandemic

2020 ◽  
Author(s):  
Gabor Csikos ◽  
Krisztina Dr Törő ◽  
Judit Mokos ◽  
Sandor Rozsa ◽  
Hadházi Éva ◽  
...  
Keyword(s):  
Family Relationships ◽  
Parental Stress ◽  
Significant Negative Correlation ◽  
Post Traumatic Stress ◽  
Natural Catastrophes ◽  
Parents And Children ◽  
Wellbeing Index ◽  
The Family ◽  
Post Traumatic ◽  
Open Question

Intensified anxiety responses and even symptoms of post-traumatic stress are commonly observed under quarantine conditions. In this study, the effects on fear, anxiety and wellbeing of the recent pandemic caused by SARS-CoV-2 were investigated in a sample of otherwise healthy Hungarians. Taking the family as a microsystem, differences in gender, age, family relationships and time spent in isolation were the main focus of this investigation. 346 parent-child dyads were examined; the children were 11-17 years of age. Standard psychological questionnaires (Perceived Stress Scale, WHO Wellbeing Index), and an open question test (the Metamorphosis test) were used, and the results analysed with the aid of basic statistical methods. Stress levels and wellbeing displayed a significant negative correlation with each other in both parents and children. Parental stress and levels of wellbeing had a weak but significant impact on the wellbeing of their children. Among the demographic variables examined, none of them was found to explain the wellbeing or stress level of parents. Natural catastrophes, such as pandemics, create a stressful social environment for parents, and therefore directly impact the psychological wellbeing of all family members.

scholarly journals Further steps on the reconstruction of convex polyominoes from orthogonal projections

2021 ◽  
Author(s):  
Paolo Dulio ◽  
Andrea Frosini ◽  
Simone Rinaldi ◽  
Lama Tarsissi ◽  
Laurent Vuillon
Keyword(s):  
Discrete Geometry ◽  
Convex Subset ◽  
Convex Sets ◽  
A Priori ◽  
Orthogonal Projections ◽  
Reconstruction Process ◽  
Combinatorial Properties ◽  
The Family ◽  
Discrete Counterpart ◽  
Interior Part

AbstractA remarkable family of discrete sets which has recently attracted the attention of the discrete geometry community is the family of convex polyominoes, that are the discrete counterpart of Euclidean convex sets, and combine the constraints of convexity and connectedness. In this paper we study the problem of their reconstruction from orthogonal projections, relying on the approach defined by Barcucci et al. (Theor Comput Sci 155(2):321–347, 1996). In particular, during the reconstruction process it may be necessary to expand a convex subset of the interior part of the polyomino, say the polyomino kernel, by adding points at specific positions of its contour, without losing its convexity. To reach this goal we consider convexity in terms of certain combinatorial properties of the boundary word encoding the polyomino. So, we first show some conditions that allow us to extend the kernel maintaining the convexity. Then, we provide examples where the addition of one or two points causes a loss of convexity, which can be restored by adding other points, whose number and positions cannot be determined a priori.

scholarly journals Velocity and acceleration level inverse kinematic calculation alternatives for redundant manipulators

Meccanica ◽  
2021 ◽  
Author(s):  
Dóra Patkó ◽  
Ambrus Zelei
Keyword(s):  
Degrees Of Freedom ◽  
Direct Method ◽  
Tracking Error ◽  
Inverse Kinematic ◽  
Linear Feedback ◽  
Joint Position ◽  
Stability Properties ◽  
Acceleration Level ◽  
Error Elimination ◽  
The Stability

AbstractFor both non-redundant and redundant systems, the inverse kinematics (IK) calculation is a fundamental step in the control algorithm of fully actuated serial manipulators. The tool-center-point (TCP) position is given and the joint coordinates are determined by the IK. Depending on the task, robotic manipulators can be kinematically redundant. That is when the desired task possesses lower dimensions than the degrees-of-freedom of a redundant manipulator. The IK calculation can be implemented numerically in several alternative ways not only in case of the redundant but also in the non-redundant case. We study the stability properties and the feasibility of a tracking error feedback and a direct tracking error elimination approach of the numerical implementation of IK calculation both on velocity and acceleration levels. The feedback approach expresses the joint position increment stepwise based on the local velocity or acceleration of the desired TCP trajectory and linear feedback terms. In the direct error elimination concept, the increment of the joint position is directly given by the approximate error between the desired and the realized TCP position, by assuming constant TCP velocity or acceleration. We investigate the possibility of the implementation of the direct method on acceleration level. The investigated IK methods are unified in a framework that utilizes the idea of the auxiliary input. Our closed form results and numerical case study examples show the stability properties, benefits and disadvantages of the assessed IK implementations.

Use of an Ambulatory Infusion Pump in a 12-Year-Old with Salmonella Osteomyelitis

DICP ◽  
1989 ◽  
Vol 23 (5) ◽  
pp. 379-381
Author(s):  
Allen J. Vaida ◽  
Chantel J. Mattiucci ◽  
Steven A. Shapiro ◽  
Linda A. Gusenko ◽  
Anna M. King
Keyword(s):  
Cost Saving ◽  
Antibiotic Therapy ◽  
Infusion Pump ◽  
Medication Administration ◽  
Sterile Water ◽  
Home Therapy ◽  
Parenteral Antibiotic ◽  
The Family ◽  
The Stability ◽  
Salmonella Osteomyelitis

A 12-year-old girl with sickle cell hemoglobinopathy presented with a Salmonella osteomyelitis of her right humerus requiring six weeks of parenteral antibiotic therapy. Home therapy was evaluated. Due to the frequency of the medication administration (every six hours) and the apprehension of the family members, a Pharmacia-Deltec CADD-VT Infusion Pump was chosen for drug administration. Based on the stability of ampicillin, 1.3 g q6h was administered to provide a minimum of 1 g for the last dose of a 24-hour cycle. Ampicillin 6 g contained in 100 mL of sterile water for injection provided a 60 mg/mL solution with an osmolarity of 347 mOsmol. The pump was programmed to deliver 22 mL of solution over one hour, every six hours. A keep-vein-open rate of 0.2 mL/h maintained line patency. A 100 mL cassette of solution prepared daily was replaced on the pump by a home therapy nurse each morning. At the end of six weeks of therapy, the osteomyelitis was eradicated. We found the use of an ambulatory infusion pump an effective, convenient, and cost-saving method of treatment for our patient.

Sign in / Sign up

Export Citation Format

Share Document