Boundedness, compactness and Schatten-class membership of weighted composition operators

The boundedness and compactness of weighted composition operators on the Hardy space ${\mathcal H}^2$ of the unit disc is analysed. Particular reference is made to the case when the self-map of the disc is an inner function. Schatten-class membership is also considered; as a result, stronger forms of the two main results of a recent paper of Gunatillake are derived. Finally, weighted composition operators on weighted Bergman spaces $\mathcal{A}^2 \alpha(\mathbb{D})$ are considered, and the results of Harper and Smith, linking their properties to those of Carleson embeddings, are extended to this situation.Comment: 12 page

Harmonic Analysis of Boolean Networks: Determinative Power and Perturbations

Consider a large Boolean network with a feed forward structure. Given a probability distribution on the inputs, can one find, possibly small, collections of input nodes that determine the states of most other nodes in the network? To answer this question, a notion that quantifies the determinative power of an input over the states of the nodes in the network is needed. We argue that the mutual information (MI) between a given subset of the inputs X = {X_1, ..., X_n} of some node i and its associated function f_i(X) quantifies the determinative power of this set of inputs over node i. We compare the determinative power of a set of inputs to the sensitivity to perturbations to these inputs, and find that, maybe surprisingly, an input that has large sensitivity to perturbations does not necessarily have large determinative power. However, for unate functions, which play an important role in genetic regulatory networks, we find a direct relation between MI and sensitivity to perturbations. As an application of our results, we analyze the large-scale regulatory network of Escherichia coli. We identify the most determinative nodes and show that a small subset of those reduces the overall uncertainty of the network state significantly. Furthermore, the network is found to be tolerant to perturbations of its inputs

USE OF AQUATIC PLANTS PISTIA STRATIOTES, EICHHORNIA CRASSIPES AND SALVINIA MOLESTA AS ORGANIC FERTILIZER IN SUSTAINABLE AGRICULTURE – REVIEW

The intensive application of pesticides and chemical fertilizers, in the context of the continuous development of agriculture, has led to a high level of environmental pollution and a serious deterioration in soil fertility. In an attempt to reduce all these negative effects, classical agriculture is moving towards sustainable agriculture. An ecological alternative to the use of chemicals is the application of organic fertilizers. One of the ecological sources is aquatic plants. Often considered invasive due to their rapid development, aquatic plants have a real potential in sustainable agriculture. This review presents the use of aquatic plants pistia stratiotes, eichhornia crassipes and salvinia molesta as organic fertilizer in sustainable agriculture

THE USE OF DRONES IN MODERN AGRICULTURE

Drones are largely associated with military, industrial and other specialized operations, but with recent developments in sensors and information technology over the past two decades, the scope of drones has been expanded to other areas, such as agriculture. This approach to agricultural management is based on the observation, measurement and measurement of real-time data on crops and animals. It removes the need for assumptions in modern agriculture and instead gives farmers the ability to maximize their yields while increasing crop production. This paper presents a brief summary of drone implementation in agriculture

ALGAE COMPOSTING AND THE USE OF COMPOST OBTAINED AS FERTILIZER FOR ORGANIC FARMING

Composting is a cheap and efficient management approach for recycling organic waste, but also an alternative to landfills. Recycling algae into composts has also proven to be an ecological alternative for reducing beach pollution and water eutrophication. There is a growing interest in the use of algae-based fertilizers as they maintain organic farming and contribute to a significant increase in agricultural productivity. This paper presents the particularities of algae as a raw material for composting, the types of composting methods, as well as the advantages and disadvantages of algaebased fertilizers in terms of agricultural cultivation

Multiscale modelling and analysis of signalling processes in tissues with non-periodic distribution of cells

In this paper a microscopic model for a signalling process in the left ventricular wall of the heart, comprising a non-periodic brous microstructure, is considered. To derive the macroscopic equations the non-periodic microstructure is approximated by the corresponding locally-periodic microstructure. Then applying the methods of locally-periodic homogenization (the locallyperiodic (l-p) unfolding operator, locally-periodic two-scale (l-t-s) convergence on oscillating surfaces and l-p boundary unfolding operator) we obtain the macroscopic model for a signalling process in the heart tissue

AGRICULTURE 5.0 - REVIEW

Agriculture has always been an area of great interest when it comes to development and innovation. We are currently living in the age of agriculture 4.0 which is on the rise. That is why we will reach agriculture 5.0 which will be marked by the introduction of artificial intelligence,biotechnology and big data analysis, which will increase the performance, productivity and accuracy of automation

Weighted composition operators on the Dirichlet space: boundedness and spectral properties

Boundedness of weighted composition operators W u,φ acting on the classical Dirichlet space D as W u,φ f=u(f∘φ) is studied in terms of the multiplier space associated to the symbol φ , i.e., M(φ)={u∈D:W u,φ is bounded on D} . A prominent role is played by the multipliers of the Dirichlet space. As a consequence, the spectrum of W u,φ in D whenever φ is an automorphism of the unit disc is studied, extending a recent work of Hyvärinen et al. (J. Funct. Anal. 265:1749–1777, 2013) to the context of the Dirichlet space

INTELLIGENT WIRELESS TECHNOLOGY USAGE EFFECT IN CONTEXT OF PHYTOSANITARY TREATMENT SPRAYING

In agriculture, pesticides and fertilizers are applied to prevent crop disease and increase plant productivity. As a result of the digitalization of agriculture, human labor is increasingly interacting with intelligent technology through robots to facilitate agricultural operations. The use of intelligent technology protects the natural ecosystem by reducing the major damage caused by the unconventional application of phytosanitary treatments resulting in a flexible, proportional spraying at precise angles, thus avoiding the generation of large amounts of chemicals. This paper presents a short review about the state of the art of wireless sensors networks and how together with robotics can be applied in different fields of agriculture through the prism of sprayers that include a detection system and a wireless controlled spraye

CULTIVATION TECHNOLOGY AND BENEFITS OF FENUGREEK

Fenugreek (Trigonella foenum-graecum L.) is a plant native to the Mediterranean region. The name of the species means "Greek hay" because in the past it was used as a forage plant, another use being that of spice or medicinal plant throughout the world. Fenugreek is one of the oldest medicinal plants, having positive effects on antidiabetic, anticarcinogen, hypocholesterolemic, antioxidant and immunological activities, can also be used as a green fertilizer, enriching the soil with nutrients. This paper aims to describe the technology of cultivating fenugreek, but also to highlight its main benefits