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Soboleva Modified Hyperbolic Tangent
The Soboleva modified hyperbolic tangent, also known as (parametric) Soboleva modified hyperbolic tangent activation function ( MHTAF), is a special S-shaped function based on the hyperbolic tangent, given by :\operatornamex = \frac . This function was originally proposed as "modified hyperbolic tangent" by Elena V. Soboleva () as a utility function for multi-objective optimization and choice modelling in decision-making. It has since been introduced into neural network theory and practice. The function was also used to approximate current-voltage characteristics of field-effect transistors and light-emitting diodes, to design antenna feeders, and analyze plasma temperatures and densities in the divertor region of fusion reactors. A family of recurrence-generated parametric Soboleva modified hyperbolic tangent activation functions (NPSMHTAF, FPSMHTAF) was studied with parameters ''a'' = ''c'' and ''b'' = ''d''. With parameters ''a'' = ''b'' = ''c''&nb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Function (mathematics)
In mathematics, a function from a set to a set assigns to each element of exactly one element of .; the words map, mapping, transformation, correspondence, and operator are often used synonymously. The set is called the domain of the function and the set is called the codomain of the function.Codomain ''Encyclopedia of Mathematics'Codomain. ''Encyclopedia of Mathematics''/ref> The earliest known approach to the notion of function can be traced back to works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were originally the idealization of how a varying quantity depends on another quantity. For example, the position of a planet is a ''function'' of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century, and, until the 19th century, the functions that were considered were differentiable (that is, they had a high degree of regularity). The concept of a function was formalized at the end of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hausdorff Distance
In mathematics, the Hausdorff distance, or Hausdorff metric, also called Pompeiu–Hausdorff distance, measures how far two subsets of a metric space are from each other. It turns the set of non-empty compact subsets of a metric space into a metric space in its own right. It is named after Felix Hausdorff and Dimitrie Pompeiu. Informally, two sets are close in the Hausdorff distance if every point of either set is close to some point of the other set. The Hausdorff distance is the longest distance you can be forced to travel by an adversary who chooses a point in one of the two sets, from where you then must travel to the other set. In other words, it is the greatest of all the distances from a point in one set to the closest point in the other set. This distance was first introduced by Hausdorff in his book '' Grundzüge der Mengenlehre'', first published in 1914, although a very close relative appeared in the doctoral thesis of Maurice Fréchet in 1906, in his study of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bulgarian Academy Of Sciences
The Bulgarian Academy of Sciences (abbreviated BAS; bg, Българска академия на науките, ''Balgarska akademiya na naukite'', abbreviated ''БАН'') is the National Academy of Bulgaria, established in 1869. The Academy, with headquarters in Sofia, is autonomous and consists of a Society of Academicians, Correspondent Members and Foreign Members. It publishes and circulates different scientific works, encyclopaedias, dictionaries and journals, and runs its own publishing house. The activities are distributed in three main branches: ''Natural, mathematical and engineering sciences''; ''Biological, medical and agrarian sciences'' and ''Social sciences, humanities and art''. They are structured in 42 independent scientific institutes, and a dozen of laboratories and other sections. Julian Revalski has been the president of the BAS since 2016. As of 2021, its budget was 117,8 million leva (€60,2 million). History As Bulgaria was part of the Ottoman E ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Universidade De Lisboa
The University of Lisbon (ULisboa; pt, Universidade de Lisboa, ) is a public research university in Lisbon, and the largest university in Portugal. It was founded in 2013, from the merger of two previous public universities located in Lisbon, the former University of Lisbon (1911–2013) and the Technical University of Lisbon (1930–2013). History The first Portuguese university was established in Lisbon between 1288 and 1290, when Dinis I promulgated the letter ''Scientiae thesaurus mirabili'', granting several privileges to the students of the ''studium generale'' in Lisbon, proving that it was already founded on that date. There was an active participation in this educational activity by the Portuguese Crown and its king, through its commitment of part of the subsidy of the same, as by the fixed incomes of the Church. This institution moved several times between Lisbon and Coimbra, where it settled permanently in 1537. The current University of Lisbon is the result of t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Università Degli Studi Di Napoli Federico II
The University of Naples Federico II ( it, Università degli Studi di Napoli Federico II) is a public university in Naples, Italy. Founded in 1224, it is the oldest public non-sectarian university in the world, and is now organized into 26 departments. It was Europe's first university dedicated to training secular administrative staff, and is one of the oldest academic institutions in continuous operation. Federico II is the third University in Italy by number of students enrolled, but despite its size it is still one of the best universities in Italy and the world, in southern Italy it leads 1st Ranking since it started, being particularly notable for research; in 2015 it was ranked among the top 100 universities in the world by citations per paper. The university is named after its founder Frederick II. In October 2016 the university hosted the first ever Apple IOS Developer Academy and in 2018 the Cisco Digital Transformation Lab. History The university of Naples Federico II ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Università Degli Studi Di Padova
The University of Padua ( it, Università degli Studi di Padova, UNIPD) is an Italian university located in the city of Padua, region of Veneto, northern Italy. The University of Padua was founded in 1222 by a group of students and teachers from Bologna. Padua is the second-oldest university in Italy and the world's fifth-oldest surviving university. In 2010, the university had approximately 65,000 students. In 2021, it was ranked second "best university" among Italian institutions of higher education with more than 40,000 students according to Censis institute, and among the best 200 universities in the world according to ARWU. History The university is conventionally said to have been founded in 1222 when a large group of students and professors left the University of Bologna in search of more academic freedom ('Libertas scholastica'). The first subjects to be taught were law and theology. The curriculum expanded rapidly, and by 1399 the institution had divided in two: a ''Univ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
