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Search results for: Lefschetz number
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Database of the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms of a connected sum of g tori
Open Research DataMorse–Smale diffeomorphisms, structurally stable and having relatively simple dynamics, constitute an important subclass of diffeomorphisms that have been carefully studied during past decades. For a given Morse–Smale diffeomorphism one can consider “Minimal set of Lefschetz periods”, which provides the information about the set of periodic points of...
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Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simply-connected manifolds of dimension 4 and homology groups with the sum of ranks less or equal to10
Open Research DataAn important problem in periodic point theory is minimization of the number of periodic points with periods <= r in a given class of self-maps of a space. A closed smooth and simply-connected manifolds of dimension 4 and its self-maps f with periodic sequence of Lefschetz numbers are considered. The topological invariant Jr[f] is equal to the minimal...
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Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simply-connected manifolds of dimension 6 and homology groups with the sum of ranks less or equal to10
Open Research DataAn important problem in periodic point theory is minimization of the number of periodic points with periods <= r in a given class of self-maps of a space. A closed smooth and simply-connected manifolds of dimension 6 and its self-maps f with periodic sequence of Lefschetz numbers are considered. The topological invariant Jr[f] is equal to the minimal...
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Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simply-connected manifolds of dimension 5 and homology groups with the sum of ranks less or equal to10
Open Research DataAn important problem in periodic point theory is minimization of the number of periodic points with periods <= r in a given class of self-maps of a space. A closed smooth and simply-connected manifolds of dimension 5 and its self-maps f with periodic sequence of Lefschetz numbers are considered. The topological invariant Jr[f] is equal to the minimal...
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Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simply-connected manifolds of dimension 8 and homology groups with the sum of ranks less or equal to 10
Open Research DataAn important problem in periodic point theory is minimization of the number of periodic points with periods <= r in a given class of self-maps of a space. A closed smooth and simply-connected manifolds of dimension 8 and its self-maps f with periodic sequence of Lefschetz numbers are considered. The topological invariant Jr[f] is equal to the minimal...
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Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simply-connected manifolds of dimension 7 and homology groups with the sum of ranks less or equal to10
Open Research DataAn important problem in periodic point theory is minimization of the number of periodic points with periods <= r in a given class of self-maps of a space. A closed smooth and simply-connected manifolds of dimension 7 and its self-maps f with periodic sequence of Lefschetz numbers are considered. The topological invariant Jr[f] is equal to the minimal...
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Structure of the register of immovable monuments in terms of the number of timber-framed monuments by voivodeship – comparison of 2016 and 2024
Open Research DataThis dataset compares the structure of the register of immovable monuments in Poland regarding the number of timber-framed monuments by voivodeship for 2016 and 2024. The number of timber-framed monuments in 2024 is lower than in 2016 (937 items less). The highest number of timber-framed monuments remains in Lesser Poland (2016 – 1059 monuments, 16,83%;...
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The database of odd algebraic periods for quasi-unipotent self-maps of a space having the same homology group as the connected sum of g tori
Open Research DataThe dataset consists of 20 files indexed by numbers g=1,...,20. Each file provides sets of odd algebraic periods for all quasi-unipotent self-maps of a space having the same homology groups as the connected sum of g tori. Let us remark that each data set covers all algebraical restrictions that come from zeta functions for the sets of minimal Lefschetz...
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Database of the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms of a connected sum of g real projective planes.
Open Research DataMorse–Smale diffeomorphisms, structurally stable and having relatively simple dynamics, constitute an important subclass of diffeomorphisms that were carefully studied during past decades. For a given Morse–Smale diffeomorphism one can consider “Minimal set of Lefschetz periods”, which provides the information about the set of periodic points of considered...
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Number of own bank branches (2017)
Open Research DataThe number of traditional bank branches is decreasing. As can be seen from the data presented in the table below, over the year (2016-2017), the network of bank branches in Poland decreased by over half a thousand (currently the total number of traditional bank branches, excluding partner branches, amounts to nearly 6 thousand). None of the 20 largest...
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Number of cooperative banks in Poland in 1993-2011
Open Research DataThe process of reform and consolidation of the cooperative banking sector in Poland conducted in the 1990s caused that in 1991-1999 the number of cooperative banks dropped from 1664 to 902. It should be noted that 131 banks collapsed, 632 were taken over by other banks. It should also be noted that during this period, in 1992, one cooperative bank was...
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Changes in the number of commercial banks in 1992-2004
Open Research DataAs the data shows, it can be concluded that the number of banks in Poland is small. The main reason for the declining number of banks is bank acquisitions by foreign investors or bank consolidation. To a lesser extent, this change resulted from negative factors such as bankruptcy or liquidation.
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The number of active enterprises in Poland in 1997-2014
Open Research DataAfter Poland joined the group of countries associated in the European Union and through participation in numerous economic and political organizations (including the World Trade Organization, OECD), as well as the commencement of trade exchange with virtually all countries of the world, Polish entrepreneurs and managers struggle with completely problems...
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Number of seasonal work permits issued in 2018
Open Research DataIn 2018, a total of 121,436 seasonal work permits were issued, the vast majority of which were granted to Ukrainian citizens. The following dataset shows the countries from which citizens have been issued the most permits.
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Average number of employees of BPO SSC centers
Open Research DataAlthough most BSS centers are located in Warsaw, the capital of Poland ranks only 4th in terms of the average number of employees. In terms of the average number of employees, Kraków (321) is the leader, followed by Wrocław (281) and Łódź (273).
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Minimal number of periodic points for smooth self-maps of simply-connected manifolds
Open Research DataThe problem of finding the minimal number of periodic points in a given class of self-maps of a space is one of the central questions in periodic point theory. We consider a closed smooth connected and simply-connected manifold of dimension at least 4 and its self-map f. The topological invariant D_r[f] is equal to the minimal number of r-periodic points...
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The number of students in public and private universities in 1990-2011
Open Research DataFrom the 2005/2006 academic year - when the number of students reached a record value of 1,953.8 thousand - the number of students is systematically decreasing. Within 5 years, this number decreased by 5.8%, and over the last year, the decrease amounted to 3.1%. These changes are related to the constantly decreasing number of people aged 19-24. Despite...
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The number of enterprises in Poland and selected EU countries in 2012
Open Research DataIn 2012, Poland was sixth in the ranking of the number of enterprises in selected European Union countries. In total, 22 million companies conduct business in the countries of the Community. However, when analyzing these values in relative numbers (calculated as the number of enterprises per 1000 inhabitants), Poland ranks only 22nd among the Member...
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The number of enterprises in Poland and EU countries (in thousands) in 2019
Open Research DataEnterprises from the SME sector constitute the majority of companies in Poland and in the European Union countries. However, the structure of domestic enterprises in terms of size and industry differs from the EU average. The following dataset contains the number of enterprises in Poland and EU countries (in thousands) in 2019.
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The number of enterprises in Poland and EU countries (in thousands) in 2019
Open Research DataEnterprises from the SME sector constitute the majority of companies in Poland and in the European Union countries. However, the structure of domestic enterprises in terms of size and industry differs from the EU average. Taking into account the nature of the business in Poland, more companies operate in trade, and lower in services. However, it should...
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Estimates for minimal number of periodic points for smooth self-maps of simply-connected manifolds
Open Research DataWe consider a closed smooth connected and simply-connected manifold of dimension at least 4 and its self-map f. The topological invariant Dr[f] is equal to the minimal number of r-periodic points in the smooth homotopy class of f. We assume that r is odd and all coefficients b(k) of so-called periodic expansion of Lefschetz numbers of iterations are...
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Number of selected entities (companies) of the national economy in 2008 - 2017
Open Research DataCurrently, most enterprises in Poland are run as sole proprietorships. In addition, natural persons running a business may run an enterprise as part of civil partnerships, which are a relatively simple form of business operation by more than one person (at least two partners). In addition, there is a growing interest in establishing commercial law companies,...
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Number of active credit cards issued to individual customers (2017)
Open Research DataPolish banks serviced 6.04 million credit cards in 2017. This is a decrease by 121,000 year on year (comparing 2017 and 2016). The largest issuer of credit cards in the country is Bank PKO BP. In the third quarter of 2017, this institution had 847,000 credit cards. Bank Zachodni WBK is second (803,000) and CITI Handlowy is third (697,000).
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Number of active HCE cards installed in mobile phones (2017)
Open Research DataHCE technology (Host Card Emulation), which enables contactless payments by phone in a similar way as in the case of a payment card. At the time of making the transaction, the phone is close to the terminal, practically the same as the payment card. This solution, like the others described previously, should be included in the elements of electronic...
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Number of active debit cards issued to individual customers (2017)
Open Research DataAt the end of the fourth quarter of 2017, financial institutions (including non-banking ones, e.g. SKOK) serviced 25.8 million debit cards (excluding credit card data) of individual clients. This means an increase by 1.3 million cards compared to the same period in 2016. The largest number of cards was issued and serviced by Bank PKO BP - 6.81 million,...
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Number of registered BEV and PHEV vehicles in 2011-2016 (in thousands)
Open Research DataThere are three main types of vehicles that are generally regarded as an electric car. These include:
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Number of students according to the form of education in the academic year 2010/2011
Open Research DataIn the 2010/2011 academic year, the number of full-time students was 949.5 thousand, ie 51.6% of all students. The percentage of women among all students in the academic year 2010/2011 was 58.8%, in 1995/1996 it was 56.0%, while in 2000/2001 and 2005/2006 it was 56.8% and 56.5%, respectively. Among people studying in full-time studies there were 57.2%...
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Number of individual clients banks accounts - accounts in Polish zloty (2017)
Open Research DataBanks maintained a total of 31.7 million accounts (the so-called ROR - checking and savings account). Most of them are PKO BP, which currently maintains 7.1 million accounts. Bank Pekao is second (3.87 million personal accounts), and third is mBank (3.30 million)
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Number of individual clients in Polish banks (10 largest entities) in 2017
Open Research DataAccording to the data of the National Bank of Poland, in 2017 Polish banks served 49 million customers (of which 45.5 million were retail customers). The largest number of individual clients was served by PKO Bank Polski - nearly 9.5 million, the second was Bank Pekao - 5.4 million, and the third place in the list of ING Bank Śląski - 4.6 million. A...
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Number of BPO/SSC centers in selected business service centers in Poland
Open Research DataMost BPO/SSC centers are located in Warsaw (238). The next positions are taken by Kraków (217 units), Wrocław (169), Tricity (146), Katowice (102) and Poznań (102).
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The share of BEV and PHEV in total number of registered vehicles (%) 2011-2016
Open Research DataIn 2016, the highest percentage of electric vehicles among all passenger automobiles was recorded in Norway - about 28% (it should be noted that in 5 years the number of electric cars in this country increased from 5 thousand to 133 thousand). However, the remaining countries in the ranking note a much smaller share of sales of electric vehicles in...
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The number of financial transactions made from the level of the mobile application in 2017
Open Research DataTaking into account the number of transactions made, the increase is almost 100% when using the mobile application. In 2017, 44 million people were recorded financial transactions made via the application, i.e. opening a deposit or ordering a transfer. It should therefore be noted that there is a growing interest in ordering certain transactions via...
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Number of work permits issued in 2008-2018 by migrant's country of origin
Open Research DataThe scale of the influx of economic migrants to Poland can be proved by data referring to documents enabling legal work, including work permits. In 2018, the most frequently applied for work permit for citizens of eight countries presented in the dataset. The table contains data on the number of permits issued in the years 2008-2018.
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Number of foreigners registered for pension and disability insurance by citizenship - at the end of the year
Open Research DataThe data from the Central Register of Insureds indicate that the number of individuals who were subject to retirement and disability insurance and who had citizenship other than Polish increased from 65,000 in December 2008 to nearly 570 thousand in December 2018 (table 4 and figure 4). This means a nearly 9-time increase, while the number of foreigners...
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Number of ATMs per million inhabitants in EU countries (2015 year)
Open Research DataAs shown in the data, individual indicators vary greatly in depending on the country. It should be noted that, as a rule, the highest level of banking concerns the countries of Western Europe (Luxembourg, France, Germany, Portugal). There, too, the highest values are recorded, for example for the number of ATMs.
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Number of bank branches per million inhabitants in EU countries 2015
Open Research DataAccording to the data presented, over the year (2016-2017), the network of bank branches in Poland decreased by over half a thousand (currently the total number of traditional bank branches, excluding partner branches, amounts to nearly 6 thousand). It is worth noting, however, that the number of bank branches per million inhabitants is the highest...
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The complete list of two-dimensional number-conserving ternary cellular automata
Open Research DataThis dataset contains a complete list of all 1327 two-dimensional number-conserving cellular automata with the state set {0,1,2} (the so-called ternary cellular automata) based on adjacent cells only, i.e. with the von Neumann neighborhood. The detailed definitions and the method of enumerating are given in the paper:
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Number of countries with VAT implemented in selected years from 1960 to 2016
Open Research DataThis dataset shows the number of countries in selected years, from 1960 to 2016, that have implemented a VAT.
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Tax preferences in CIT in numbers 2009-2015
Open Research DataThese data contain information prepared by the Ministry of Finance on the value of tax preferences by areas of support in Corporate Income Tax (CIT) between 2009-2015.
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Tax preferences in PIT in numbers 2009-2015
Open Research DataThe follwoing data contain information prepared by the Ministry of Finance on the value of tax preferences by areas of support in Personal Income TAX (PIT) between 2009-2015.
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Nuts 51 (voj. dolnoslaskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. dolnoslaskie (Poland, nuts 71).
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Nuts 81 (voj. lubelskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. lubelskie (Poland, nuts 81)
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Number of active users of the mobile banking application (only a mobile phone) - 2017
Open Research DataCustomers using mobile devices can use their bank account via the bank's website or a separate application. Such a solution allows for easier logging in (usually no customer number is required, but only a password) and a number of additional functions (from a more extensive interface to a larger number of possible operations - making a transfer, opening...
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Nuts 43 (voj. lubuskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. lubuskie (Poland, nuts 43)
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Comparison of the number of foreigners registered for retirement and disability pension insurance - at the end of the year
Open Research DataThe increase in the number of foreigners registered for retirement and disability insurance was characterized by the highest dynamics in the case of non-EU migrants, in particular Ukrainian citizens (26-time increase in the period 2008-2018; impressive nominal growth from 16.2 to 420.7 thousand economic migrants) and Georgia (a 37-time increase). Also...
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Nuts 42 (voj. zachodniopomorskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. zachodniopomorskie (Poland, nuts 42)
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Nuts 52 (voj. opolskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. opolskie (Poland, nuts 52)
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Nuts 22 (voj. slaskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. slaskie (Poland, nuts 22)
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Nuts 71 (voj. lodzkie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. lodzkie (Poland, nuts 71)
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Nuts 21 (voj. malopolskie). Number of accidents, injuries, seriously Injured and fatalities
Open Research DataThe data contains information about the number of accidents, injuries, seriously Injured and fatalities between 1999 and 2019 in months in voj. malopolskie (Poland, nuts 21)