The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
Mathematics, especially algebra, uses plenty of structures: groups, rings, integral domains, fields, vector spaces to name a few of the most basic ones. Classes of structures are closely connected - usually by inclusion - naturally leading to hierarchies that has been reproduced in different forms in different mathematical repositories. In this paper we give a brief overview of some existing algebraic...
In the paper, we discuss the formal approach to Tarski geometry axioms modelled with the help of the Mizar computerized proof assistant system. Although our basic development was inspired by Julien Narboux's Coq pseudo-code and is dated back to 2014, there are significant steps in the formalization of geometry done in the last decade of the previous century. Taking this into account, we will propose...
In this paper design and implementing process of a compact, low-cost and user-friendly probe signal generator for pulse radars and constant wave radars based on software-defined radio (SDR) are presented [1]. In his research the author uses the Universal Software Radio Peripheral (USRP) as SDR developed by the National Instruments [2]. Proposed device was designed for a wide range of the radar systems,...
Equality is fundamental notion of logic and mathematics as a whole. If computer-supported formalization of knowledge is taken into account, sooner or later one should precisely declare the intended meaning/interpretation of the primitive predicate symbol of equality. In the paper we draw some issues how computerized proof-assistants can deal with this notion, and at the same time, we propose solutions,...
The formalization of fuzzy sets in terms of corresponding membership functions is already available in machine-verified mathematical knowledge base. We show how it can be extended to provide the development of fuzzy numbers fully benefitting from the existing framework. The flexibility which is offered by automated proof-assistants allowed us to overcome some initial difficulties. Although fuzziness...
Clearly, there is no definitive standard for categorizing information contained in mathematical papers. Even if AMS Mathematics Subject Classification was important for mathematicians for years, nowadays we can observe growing popularity of other schemes, e.g. arXiv categories. On the other hand, in the era of digital information storing one can expect from the process of classification to be more...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.