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pro vyhledávání: '"Vagn Lundsgaard Hansen"'
Autor:
Vagn Lundsgaard Hansen
This book is based on a graduate course taught by the author at the University of Maryland, USA. The lecture notes have been revised and augmented by examples. The work falls into two strands. The first two chapters develop the elementary theory of A
Publikováno v:
International Journal of Simulation Systems Science & Technology.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d6c92e3dc4710de126147d8e0a85b704
https://doi.org/10.5013/ijssst.a.16.01.07
https://doi.org/10.5013/ijssst.a.16.01.07
Publikováno v:
Aabrandt, A & Hansen, V L 2018, ' The circle equation over finite fields ', Quaestiones Mathematicae, vol. 41, no. 5, pp. 665-674 . https://doi.org/10.2989/16073606.2017.1395774
Quaestiones Mathematicae; Vol 41, No 5 (2018); 665-674
Quaestiones Mathematicae; Vol 41, No 5 (2018); 665-674
Interesting patterns in the geometry of a plane algebraic curve C can be observed when the defining polynomial equation is solved over the family of finite fields. In this paper, we examine the case of C the classical unit circle defined by the circl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dae2c1b9d89863cb0f21833921cb4464
https://orbit.dtu.dk/en/publications/81c98e7a-04fe-481a-b28f-c75bccf1db97
https://orbit.dtu.dk/en/publications/81c98e7a-04fe-481a-b28f-c75bccf1db97
Autor:
Vagn Lundsgaard Hansen
Publikováno v:
Studia Logica. 101:1147-1150
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb3571068e6835a4b9f07f91c2adc5fd
https://doi.org/10.1007/s11225-013-9517-0
https://doi.org/10.1007/s11225-013-9517-0
Publikováno v:
Aabrandt, A & Hansen, V L 2016, ' A Note on Powers in Finite Fields ', International Journal of Mathematical Education in Science and Technology, vol. 47, no. 6, pp. 987-991 . https://doi.org/10.1080/0020739X.2015.1129076
The study of solutions to polynomial equations over finite fields has a long history in mathematics and is an interesting area of contemporary research. In recent years the subject has found important applications in the modelling of problems from ap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3269b2a3f78b7fca56cc40ab84a843c3
http://arxiv.org/abs/1510.06243
http://arxiv.org/abs/1510.06243
Autor:
Vagn Lundsgaard Hansen
Publikováno v:
Topology and its Applications. 125(1):63-72
A Weierstrass polynomial with multiple roots in certain points leads to a branched covering map. With this as the guiding example, we formally define and study the notion of a branched polynomial covering map. We shall prove that many finite covering
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f6d0976b6aacdebd2debd9ffe68ef257
Publikováno v:
EMS
In the theory of communication it is essential that agents are able to exchange information. This fact is closely related to the study of connected spaces in topology. A communication network may be modelled as a topological space such that agents ca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59571cd5dec9204fd8655a484d581abf
https://doi.org/10.1109/ems.2014.17
https://doi.org/10.1109/ems.2014.17