Stavovi o nepokretnoj tački na prostorima sa nedeterminističkom metrikom

From Freschet’s definition of metric space in the early twentieth century, the various generalizations of metric spaces such as Menger spaces, fuzzy metric spaces, intuitionistic fuzzy metric spaces, L-fuzzy metric spaces and others, were obtained. On the other hand, the fundamental theorem in the theory of fixed points in metric spaces represents Banach contractive Principle. This theorem, which for some special cases has already been considered by a Liouville, Picard and Goursat, in the past eight decades till today, has found many important applications and has been generalized in many directions. One of them is the introduction of nonlinear contractive condition by Rakotch in 1962, and then by Boyd and Wong in 1969. The field of research in this dissertation belongs to the nonlinear functional analysis, and partly to the topology and applied mathematics. Since the basic structures on which we conduct our research are the spaces with nondeterministic distances, the obtained results have applications in modern scientific research in physics. In this dissertation,the nonlinear contractive condition which is associated with different forms of the boundness of sets in the spaces with nondeterministic distances, will be discussed. In addition, we will be discussing the existence and uniqueness of fixed and common fixed points, under conditions of weak commutativity and compatibility for different types of mappings. The hypothesis of the proceeding is that with qualitatively characterization for the domain of mapping, we can relax the conditions of nonlinear contraction and thereby obtain information about the existence or absence of fixed points for this mapping. A special place in this dissertation takes convexity and topological characterization of completeness and compactness of the spaces with nondeterministic distances. These results are associated with the existence of fixed and common fixed points for non-expansive mappings, with nonlinear contractive condition. The main question is how the convex structure and the previously mentioned results, can be transferred to the spaces with nondeterministic distances

A Common Fixed Point Theorem in Fuzzy Metric Spaces with Nonlinear Contractive Type Condition Defined Using Φ-Function

This paper is to present a common fixed point theorem for two R-weakly commuting self-mappings satisfying nonlinear contractive type condition defined using a Φ-function, defined on fuzzy metric spaces. Some comments on previously published results and some examples are given

Microbioreactors and Perfusion Bioreactors for Microbial and Mammalian Cell Culture

Screening for novel producer strains and enhanced therapeutic production at reduced cost has been the focus of most of the biopharmaceutical industries. The obligation to carry out prolonged intensive pilot scale experiments gave birth to micro-scale bioreactor systems. Screening large number of microorganisms using shake flasks and benchtop bioreactors is tedious and consumes resources. Microbioreactors that mimic benchtop bioreactors are capable not only of high throughput screening of producer strains, but also aid in optimizing the growth kinetics and expression of proteins. Modern technology has enabled the collection of precise online data for variables such as optical density (OD), pH, temperature, dissolved oxygen (DO), and adjusting in mixing inside microreactors. Microbioreactors have become an irreplaceable tool for biochemical engineers and biotechnologists to perform a large number of experiments simultaneously. Another aspect that is vital to any industry is the product yield and subsequent downstream processing. Perfusion bioreactors are one of the upcoming advances in bioreactor systems that have the potential to revolutionize biologics production. This chapter intends to take a review of different aspects of microbioreactors and perfusion bioreactors including their potential in high throughput pilot studies and microbial and mammalian cell cultivation technologies

The weak and strong asymptotic equivalence relations and the generalized inverse*

We discuss the relationship between the weak and strong asymptotic equivalence relations and the generalized inverse in the class A of all nondecreasing unbounded positive functions on a half-axis [a,+∞) (a > 0). As a main result, we prove a proper characterization of the functional class R ∞ ∩ A, where R ∞ is the class of all rapidly varying functions. Also, we prove a characterization of the functional class PI * ∩ A.Accepted for publishin

The weak asymptotic equivalence and the generalized inverse

In this paper, we discuss the relationship between the weak asymptotic equivalence relation and the generalized inverse in the class A{\mathcal{A}} of all nondecreasing and unbounded functions, defined and positive on a half-axis [a,+∞) (a > 0). In the main theorem, we prove a proper characterization of the functional class ORV ÇA{{ORV} \cap \mathcal{A}} , where ORV is the class of all O{\mathcal{O}} -regularly varying functions (in the sense of Karamata). Keywordsregular variation-generalized inverse-weak asymptotic equivalence MSC26A12Accepted for publishin

Antioxidant Activity, Inhibition α-Glucosidase of Ethanol Extract of Strychnos nitida G. Don and Identification of Active Compounds

This study aims to find the treatment of diabetes using natural materials by exploring plants in the province of East Nusa Tenggara. his research was conducted out by extracting the Strychnos nitida G.Don stem using a method of maceration by ethanol 70%. Ethanol extract was then fractionated using n-hexane and ethyl acetate. Simplicia from maceration and fractionation results were then tested for antioxidant activity, α-glucosidase inhibition activity and identification of active compounds. The results showed that ethyl acetate fraction had the lowest IC50 value of 86.83 μg / ml. Results of the α-glucosidase activity test showed that ethyl acetate fraction and n-heksan fraction at 900 ppm had the highest percentage of inhibition of 34.23% and 33.89%. Identification using LCMS/MS method showed that ethyl acetate fraction consist of Benzenemethamine, N, N-dioctyl- as an antioxidantcompound and compound 24-methyl-5-cholestone-hexol as an antidiabetic compound. From the results of this study, we concluded that the extract of kayu ular Strychnos nitida G.Don stem has inhibition activity toward α-glucosidase enzyme

Multijunction photovoltaics: integrating III–V semiconductor heterostructures on silicon

International audienceGallium arsenide phosphide nitride shows promise for developing highefficiency tandem solar cells on low-cost silicon substrate

Integrated model of the vertebrate augmin complex

Accurate segregation of chromosomes is required to maintain genome integrity during cell division. This feat is accomplished by the microtubule-based spindle. To build a spindle rapidly and with high fidelity, cells take advantage of branching microtubule nucleation, which rapidly amplifies microtubules during cell division. Branching microtubule nucleation relies on the hetero-octameric augmin complex, but lack of structure information about augmin has hindered understanding how it promotes branching. In this work, we combine cryo-electron microscopy, protein structural prediction, and visualization of fused bulky tags via negative stain electron microscopy to identify the location and orientation of each subunit within the augmin structure. Evolutionary analysis shows that augmin\u27s structure is highly conserved across eukaryotes, and that augmin contains a previously unidentified microtubule binding site. Thus, our findings provide insight into the mechanism of branching microtubule nucleation

A fixed point theorem in strictly convex b-fuzzy metric spaces

The main motivation for this paper is to investigate the fixed point property for non-expansive mappings defined on $b$-fuzzy metric spaces. First, following the idea of S. Ješić's result from 2009, we introduce convex, strictly convex and normal structures for sets in $b$-fuzzy metric spaces. By using topological methods and these notions, we prove the existence of fixed points for self-mappings defined on $b$-fuzzy metric spaces satisfying a nonlinear type condition. This result generalizes and improves many previously known results, such as W. Takahashi's result on metric spaces from 1970. A representative example illustrating the main result is provided

218 Sinhgad Institute of Management and Computer Application (SIMCA)

Abstract: The idea is to develop a table-inbuilt console based interactive system for manual ordering system. This interactive system can be used in coffee shops, clubs, public restaurants or bars. The aim is to provide every table with a touch screen based console that can be used by customers as an interactive interface between the customers as well as restaurant manager or administrator. Our system will allow the user to view menu items and order them accordingly. The consoles shall be centrally connected to a central server where actual centralized order processing of all clients can be done. A single administrator can view / monitor all the orders from this centralized server. The system also saves time for both customers as well as hotel owner for order placement