Distribution of Composite Numbers and Determination of Prime Numbers

Integer is either a composite number or a prime number. Therefore, detecting composite numbers is important for solving prime numbers. The study of prime numbers, apart from satisfying human curiosity, can be very important. In this article, the order of composite numbers has been detected. And explained with a simple method and a simple function. And, a method has been developed in which all composite numbers and therefore prime numbers can be determined by using the specified methods, functions and formulas.

Distribution of Composite Numbers and Determination of Prime Numbers

Integer is either a composite number or a prime number. Therefore, detecting composite numbers is important for solving prime numbers. The study of prime numbers, apart from satisfying human curiosity, can be very important. In this article, the order of composite numbers has been detected. And explained with a simple method and a simple function. And, a method has been developed in which all composite numbers and therefore prime numbers can be determined by using the specified methods, functions and formulas.

Distribution of Composite Numbers and Determination of Prime Numbers

Integer is either a composite number or a prime number. Therefore, detecting composite numbers is important for solving prime numbers. The study of prime numbers, apart from satisfying human curiosity, can be very important. In this article, the order of composite numbers has been detected. And explained with a simple method and a simple function. And, a method has been developed in which all composite numbers and therefore prime numbers can be determined by using the specified methods, functions and formulas.

Distribution of Composite Numbers and Determination of Prime Numbers

Integer is either a composite number or a prime number. Therefore, detecting composite numbers is important for solving prime numbers. The study of prime numbers, apart from satisfying human curiosity, can be very important. In this article, the order of composite numbers has been detected. And explained with a simple method and a simple function. And, a method has been developed in which all composite numbers and therefore prime numbers can be determined by using the specified methods, functions and formulas.

The determination of point groups from imprecise molecular geometries

We present a new approach for the assignment of a point group to a molecule when the structure conforms only approximately to the symmetry. It proceeds by choosing a coordinate frame that minimises a measure of symmetry breaking that is computed efficiently as a simple function of the molecular coordinates and point group specification.

Prototype System for Dynamic Elastic Protection and Monitoring

With the continuous development of science and technology, security becomes an important content, both from the personal safety and information security, the most basic protection and monitoring security system already cannot satisfy people demand for security, protection and monitoring technology is relatively simple, function is not fully diversified, so the protection and improvement of the monitoring system should be constantly, so the application of dynamic elastic protection and monitoring, protective monitor the implementation of the new type will help the large-scale application of the design process and the improvement of the system. Based on the above content, this paper proposes the construction of the prototype system of dynamic elastic protection and monitoring, and deeply analyzes the principle of its construction.

Listening

Our perceptual systems provide us with information about the world around us and the things within it. However, understanding this apparently simple function is surprisingly difficult. In this chapter we focus on auditory perception and the ways in which we use sound to obtain information of the behaviour of objects in our environment. After a brief description of the auditory system, we discuss auditory scene analysis and the problem of partitioning the combined information from an unknown number of sources into the discrete perceptual objects with which we interact. Through this discussion, we conclude that auditory processing is shaped by the need to flexibly engage with the rhythms of living organisms and temporal regularities in the world.

Comment "surintensifier" les expressions d’intensité ? L’exemple des collocations ADJ /V comme SN et ADJ / N à faire Vinf

In this article we present some syntactic characteristics, and then some productive semantic mechanisms of the intensification of the collocations selected for this study, namely Adj comme SN ou V comme SN et Adj à (faire) Vinf ou N à faire Vinf. All of them already mark a strong, indeterminate intensity, that means, they express a standard lexical function "intensity" (henceforth Intens, inspired by the simple function Magn of the Mel'čuk’s model, 1996) reflecting the syntagmatic relation between a base (argument) and a collocative intensifier (predicate). These collocations are combined by overlapping or embedding with other collocators or other collocations. By these combinatorial operations, one obtains over intensified expressions which are the result of either occasional modification (hapax) without the chance for lexicalisation, or spontaneous motivated modifications which may one day become lexicalized. All of them can be productive themselves under the new patterns, e.g. bête à faire pleurer un âne or fumer comme une vieille locomotive à vapeur, etc. Dans cet article nous présentons quelques caractéristiques syntaxiques, puis quelques mécanismes sémantiques productifs de l’intensification des collocations sélectionnées pour cette étude, à savoir Adj comme SN ou V comme SN et Adj à (faire) Vinf ou N à faire Vinf. Toutes, elles marquent déjà une forte intensité indéterminée, c’est-à-dire elles expriment une fonction lexicale standard « intensité » (dorénavant Intens, inspirée de la fonction simple Magn du modèle mel’čukien, 1996) rendant compte des liens syntagmatiques entre une base (argument) et un collocatif intensifieur (prédicat). Ces collocations se combinent par superposition ou enchâssement avec d’autres collocatifs ou d’autres collocations. Par ces opérations de combinatoire on obtient des expressions surintensifiées qui sont les résultats ou bien des modifications de circonstance (hapax) sans chance de se lexicaliser ou bien des modifications spontanées motivées pouvant, un jour, être sujettes à se lexicaliser. Toutes, elles peuvent elles-mêmes être productives sous de nouveaux schémas, comme bête à faire pleurer un âne ou fumer comme une vieille locomotive à vapeur, etc.

From collections of independent, mindless robots to flexible, mobile, and directional superstructures

A swarm of simple active particles confined in a flexible scaffold is a promising system to make mobile and deformable superstructures. These soft structures can perform tasks that are difficult to carry out for monolithic robots because they can infiltrate narrow spaces, smaller than their size, and move around obstacles. To achieve such tasks, the origin of the forces the superstructures develop, how they can be guided, and the effects of external environment, especially geometry and the presence of obstacles, need to be understood. Here, we report measurements of the forces developed by such superstructures, enclosing a number of mindless active rod-like robots, as well as the forces exerted by these structures to achieve a simple function, crossing a constriction. We relate these forces to the self-organization of the individual entities. Furthermore, and based on a physical understanding of what controls the mobility of these superstructures and the role of geometry in such a process, we devise a simple strategy where the environment can be designed to bias the mobility of the superstructure, giving rise to directional motion. Simple tasks—such as pulling a load, moving through an obstacle course, or cleaning up an arena—are demonstrated. Rudimentary control of the superstructures using light is also proposed. The results are of relevance to the making of robust flexible superstructures with nontrivial space exploration properties out of a swarm of simpler and cheaper robots.