The number of zeros of unilateral polynomials over coquaternions revisited

The literature on quaternionic polynomials and, in particular, on methods for finding and classifying their zero sets, is fast developing and reveals a growing interest in this subject. In contrast, polynomials defined over the algebra of coquaternions have received very little attention from researchers. One of the few exceptions is the very recent paper by Janovska and Opfer [Electron Trans Numer Anal. 2017;46:55-70], where, among other results, we can find a first attempt to prove that a unilateral coquaternionic polynomial of degree n has, at most, zeros. In this paper we present a full proof of this result, using a totally different and, from our point of view, much simpler approach. Also, we give a complete characterization of the zero sets of such polynomials and present a new result giving conditions which guarantee the existence of a special type of zeros. An algorithm to compute and classify all the zeros of a coquaternionic polynomial is proposed and several numerical examples are carefully constructed.Research at CMAT was financed by Portuguese Funds through FCT -Fundacao para a Ciencia e a Tecnologia, within the [project number UID/MAT/00013/2013]. Research at NIPE was carried out within the funding with COMPETE reference number POCI-01-0145-FEDER-006683 [project number UID/ECO/03182/2013], with the FCT/MEC's (Fundacao para a Ciencia e a Tecnologia, I.P.) financial support through national funding and by the ERDF through the Operational Programme on 'Competitiveness and Internationalization - COMPETE 2020' under the PT2020 Partnership Agreement

The application of winning key metrics in a metallurgical firm

This article is focused on creating a system of metrics and its application in a metallurgical firm. Its aim is to highlight the dangers associated with the creation and application of an effective system of metrics. Its objective is also to demonstrate the process (initial steps) in the development of this system in the real family metallurgical firm. In the experimental part an example of causal links among key metrics in the chosen metallurgical firm is presented. Risks associated with the selection of appropriate metrics are presented for discussion

The application of winning key metrics in a metallurgical firm

This article is focused on creating a system of metrics and its application in a metallurgical firm. Its aim is to highlight the dangers associated with the creation and application of an effective system of metrics. Its objective is also to demonstrate the process (initial steps) in the development of this system in the real family metallurgical firm. In the experimental part an example of causal links among key metrics in the chosen metallurgical firm is presented. Risks associated with the selection of appropriate metrics are presented for discussion

Evaluation of benefits resulting from innovation of input raw materials dosing process in sintering

Production of blast furnace sinter is among the processes with the highest energy and material requirements. Fuel consumption is especially significant cost item here. The presence of grate sintered in charge, i.e. return sinter from 12 to 22 mm in size, can have fundamental impact on the technical and economic indicators of the sintering process. Grate sinter can be used as a foundation layer under the sintering mixture, to increase air permeability of charge and to improve the gas-dynamic conditions. The article analyzes the impact of grate sinter on the sintering process, based on an analysis of the acquired production indicators within the scope of the research in question

Polynomials over quaternions and coquaternions: a unified approach

This paper aims to present, in a unified manner, results which are valid on both the algebras of quaternions and coquaternions and, simultaneously, call the attention to the main differences between these two algebras. The rings of one-sided polynomials over each of these algebras are studied and some important differences in what concerns the structure of the set of their zeros are remarked. Examples illustrating this different behavior of the zero-sets of quaternionic and coquaternionic polynomials are also presented.(undefined)info:eu-repo/semantics/publishedVersio

Quality quantification model of basic raw materials

Basic raw materials belong to the key input sources in the production of pig iron. The properties of basic raw materials can be evaluated using a variety of criteria. The essential ones include the physical and chemical properties. Current competitive pressures, however, force the producers of iron more and more often to include cost and logistic criteria into the decision-making process. In this area, however, they are facing a problem of how to convert a variety of vastly different parameters into one evaluation indicator in order to compare the available raw materials. This article deals with the analysis of a model created to evaluate the basic raw materials, which was designed as part of the research

Database mirroring in fault-tolerant continuous technological process control

This paper describes the implementations of mirroring technology of the selected database systems – Microsoft SQL Server, MySQL and Caché. By simulating critical failures the systems behavior and their resilience against failure were tested. The aim was to determine whether the database mirroring is suitable to use in continuous metallurgical processes for ensuring the fault-tolerant solution at affordable cost. The present day database systems are characterized by high robustness and are resistant to sudden system failure. Database mirroring technologies are reliable and even low-budget projects can be provided with a decent fault-tolerant solution. The database system technologies available for low-budget projects are not suitable for use in real-time systems

Anti-dumping proceedings in metallurgical brand

Dumping can be generally defined as an unfair trade practice, in which a manufacturer sells identical products or very similar products in the foreign market at price that is lower than their normal value in the domestic market. Metallurgical materials and products are among those products which the anti-dumping duty is often imposed on. The market with metallurgical products and the methodology used for calculating the dumping range have certain specific features related to the decisions on possible dumping and its amount, as presented in the article

The cycle and effect of zinc in the blast-furnace process

This article analyzes the eff ect of zinc in the blast furnace process and it also analysis its contents in the input and output raw materials. The results obtained in the long-term research project will be used as data here. The removal of zinc from the input raw materials is very diffi cult already in the sinter production stage. This is due to its uniform distribution in the raw materials, but also due to the fact that it does not transfer into gas phase during the sintering process. The content of Zinc compounds was experimentally measured in the lining. The quan ty of penetrated Zinc is diff erent in diff erent parts of the blast furnace. As demonstrated by the research, zinc repeatedly enters the blast furnace process, which leads to its circula on.Web of Science52220019