Some fixed point theorems for multi-valued mappings on partial cone metric spaces

In this paper, we study the fixed point theory for multi-valued mappings on partial cone metric spaces. We prove an analogous to the well-known Kannan$'s$ fixed point theorem and Chatterjea$'s$ fixed point theorem for multi-valued mappings on partial cone metric spaces.Comment: arXiv admin note: substantial text overlap with arXiv:2208.0679

Sparse random networks for communication-efficient federated learning

One main challenge in federated learning is the large communication cost of ex-changing weight updates from clients to the server at each round. While prior work has made great progress in compressing the weight updates through gradient compression methods, we propose a radically different approach that does not update the weights at all. Instead, our method freezes the weights at their initial random values and learns how to sparsify the random network for the best performance. To this end, the clients collaborate in training a stochastic binary mask to find the optimal sparse random network within the original one. At the end of the training, the final model is a sparse network with random weights – or a sub-network inside the dense random network. We show improvements in accuracy, communication (less than 1 bit per parameter (bpp)), convergence speed, and final model size (less than 1 bpp) over relevant baselines on MNIST, EMNIST, CIFAR- 10, and CIFAR-100 datasets, in the low bitrate regime

Chromogenic and Fluorogenic Sensing of Biological Thiols in Auqeous Solutions Using BODIPY-Based Reagents

Cataloged from PDF version of article.udicious design of BODIPY dyes carrying nitroethenyl substituents in conjugation with the BODIPY core yields dyes that respond to biological thiols by both absorbance and emission changes. Incorporation of solubilizing ethyleneglycol units ensures water solubility. The result is bright signaling of biologically relevant thiols in the longer wavelength region of the visible spectrum and in aqueous solutions

A comparison of the prevalence of orthostatic hypotension between older patients with Alzheimer's Disease, Lewy body dementia, and without dementia

Orthostatic hypotension (OH) is reported to be more prevalent particularly in patients with Dementia with Lewy bodies (DLB) because of the autonomic dysfunction, but prevalence of OH is not known in patients with Alzheimer Disease (AD). The aim of the present study was to determine whether OH can be used to distinguish DLB from AD. 38 patients with DLB, 88 patients with AD and 521 patients without dementia, underwent Comprehensive Geriatric Assessment. OH were evaluated for the 1st (OH1) and 3rd (OH3) minutes, taking the data in supine position as the basis, by Head-Up-Tilt Test. Prevalence of OH1 was 43.2% in AD, 44.7% in DLB and 17.9% in patients without dementia, and OH3 was 44.3% in AD, 47.4% in DLB and 17.9% in non-dementia group. The frequency of OH1 and OH3 was higher in the AD and DLB groups than in the patients without dementia (p0.05). The percentage of asymptomatic patients with OH was 87.2% and 89.6% during 1st and 3rd minutes, respectively, and this percentage was similar in three groups (p>0.05, for each). There was no significant difference between the two dementia groups in terms of comorbidities, drugs and laboratory values (p>0.05). OH is more prevalent in patients with AD than controls and similar levels are observed in those with DLB. The prevalence of OH equally is greater with DLB or AD disease progression. Clinicians should be aware of OH and its related consequences in the management of the AD in older adults

Carbonic anhydrase inhibitors. Inhibition of red blood cell ostrich (Struthio camelus) carbonic anhydrase with a series of aromatic and heterocyclic sulfonamides.

The purification of red blood cell carbonic anhydrase (CA, EC 4.2. 1. 1) from ostrich (scCA) blood is reported, as well as an inhibition study of this enzyme with a series of aromatic and heterocylic sulfonamides. The ostrich enzyme showed a high activity, comparable to that of the human isozyme II, with k(cat) of 1. 2 center dot 10(6) s(-1) and k(cat)/K-M of 1. 8 center dot 10(7)M(-1) s(-1), and an inhibition profile quite different from that of the human red blood cell cytosolic isozymes hCA I and II. scCA has generally a lower affinity for sulfonamide inhibitors as compared to hCA I and II. The only sulfonamide which behaved as a very potent inhibitor of this enzyme was ethoxzolamide (K-1 = 3.9 nM) whereas acetazolamide and sulfanilamide behaved as weaker inhibitors (inhibition constants in the range 303-570 nM). Several other aromatic and heterocyclic sulfonamides, mostly derivatives of sulfanilamide, homosulfanilamide, 4-aminoethylbenzenesulfonamide or 5-amino-1,3,4-thiadiazole-2-sulfonamide, showed good affinities for the ostrich enzyme, with K-1 values in the range 25 - 72 nM

Microstructural characterization and simulation of damage for geared sheet components

The evolution of damage in geared components manufactured from steel sheets was investigated, to analyse the influence of damage caused by the sheet-bulk-metal forming. Due to the inhomogeneous and multi-axial deformation in the investigated parts, different aspects such as the location-dependent shape and size of voids are analysed by means of various microscopic methods. In particular, a method to characterize the state of damage evolution, i. e. void nucleation, growth and coalescence using scanning electron microscopy (SEM) is applied. The investigations reveal a strong dependence of the void area fraction, shape of voids and thus damage evolution on the loading mode. The microstructural analysis is complemented with FEM simulations using material models which consider the characteristics of the void evolution. © Published under licence by IOP Publishing Ltd

The relationship between chronic diseases and number of sexual partners: an exploratory analysis

Background: We investigated sex-specific associations between lifetime number of sexual partners and several health outcomes in a large sample of older adults in England. Methods: We used cross-sectional data from 2,537 men and 3,185 women aged ≥50 years participating in the English Longitudinal Study of Ageing. Participants reported the number of sexual partners they had had in their lifetime. Outcomes were self-rated health and self-reported limiting long-standing illness, cancer, coronary heart disease (CHD), and stroke. We used logistic regression to analyse associations between lifetime number of sexual partners and health outcomes, adjusted for relevant sociodemographic and health-related covariates. Results: Having had 10 or more lifetime sexual partners was associated with higher odds of reporting a diagnosis of cancer than having had 0-1 sexual partners in men (OR=1.69, 95% CI 1.01-2.83) and women (OR=1.91, 95% CI 1.04-3.51), respectively. Women who had 10 or more lifetime sexual partners also had higher odds of reporting a limiting long-standing illness (OR=1.64, 95% CI 1.15 2.35). No other statistically significant associations were observed. Conclusions: A higher lifetime number of sexual partners is associated with increased odds of reported cancer. Longitudinal research is required to establish causality. Understanding the predictive value of lifetime number of sexual partner as a behavioural risk factor may improve clinical assessment of cancer risk in older adults

Quantum thermodynamics at critical points during melting and solidification processes

We systematically explore and show the existence of finite-temperature continuous quantum phase transition (CTQPT) at a critical point, namely, during solidification or melting such that the first-order thermal phase transition is a special case within CTQPT. Infact, CTQPT is related to chemical reaction where quantum fluctuation (due to wavefunction transformation) is caused by thermal energy and it can occur maximally for temperatures much higher than zero Kelvin. To extract the quantity related to CTQPT, we use the ionization energy theory and the energy-level spacing renormalization group method to derive the energy-level spacing entropy, renormalized Bose-Einstein distribution and the time-dependent specific heat capacity. This work unambiguously shows that the quantum phase transition applies for any finite temperatures.Comment: To be published in Indian Journal of Physics (Kolkata