Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Radovan Potucek"'
Autor:
Radovan Potucek
Publikováno v:
Ratio Mathematica, Vol 35, Iss 0, Pp 75-85 (2018)
This contribution is a follow-up to author’s papers [1], [2], [3], [4], [5], [6], [7], and in particular [8] dealing with the sums of the series of reciprocals of quadratic polynomials with different positive integer roots, with double non-positive
Externí odkaz:
https://doaj.org/article/9bb46df4f45f4f279efccf56e303622e
Autor:
Radovan Potucek Potucek
Publikováno v:
Ratio Mathematica, Vol 34, Iss 0, Pp 5-14 (2018)
This paper deals with certain generalization of the alternating harmonic series ? the generalized convergent harmonic series with periodically repeated numerators (a,b) and (a,a,b,b). Firstly, we ?nd out the value of the numerators bofthe?rstseries,
Externí odkaz:
https://doaj.org/article/fb6053a4d06c433081c6a333696d3f5a
Publikováno v:
Axioms, Vol 10, Iss 2, p 114 (2021)
This work proposes an interval-based uncertain Susceptible–Infected–Recovered (SIR) epidemic model. The interval model has been numerically solved by the homotopy analysis method (HAM). The SIR epidemic model is proposed and solved under differen
Externí odkaz:
https://doaj.org/article/947790a4d66d4f8098523488863f4d70
Autor:
Radovan Potucek
Publikováno v:
Ratio Mathematica, Vol 30, Iss 1, Pp 59-66 (2016)
This contribution, which is afollow-up to author’s paper[1] and [2] dealing with the sums of the series of reciprocals of some quadratic polynomials, deals with the series of reciprocals of the quadratic polynomials with different negative integer
Externí odkaz:
https://doaj.org/article/e8086c72271f403ca9a4dba3f0b3a96c
Autor:
Radovan Potucek
Publikováno v:
Ratio Mathematica, Vol 28, Iss 1, Pp 3-14 (2015)
This contribution deals with the generalized convergent harmonic series with eight periodically repeated numerators and it is a follow-up to author’s papers dealing with the generalized alternating harmonic series with two up to seven periodically
Externí odkaz:
https://doaj.org/article/bce37bd9c2204470a46b13c88be8c92b
Autor:
Radovan Potucek
Publikováno v:
Ratio Mathematica, Vol 27, Iss 1, Pp 69-79 (2014)
This contribution, which is a follow-up to author’s paper [1] dealing with the sums of the series of reciprocals of some quadratic polynomials, deals with the series of reciprocals of the cubic polynomials with triple non-positive integer root. Thr
Externí odkaz:
https://doaj.org/article/dbcf449a651b481abee2e9de1f66ecbd
Autor:
Radovan Potucek
Publikováno v:
Ratio Mathematica, Vol 25, Iss 1, Pp 95-104 (2013)
The paper deals with the reduced harmonic series generated by four primes. A formula for the sum of these convergent reduced harmonic series is derived. These sums (concretely 42 from all 12650 sums generated by four different primes smaller than 100
Externí odkaz:
https://doaj.org/article/662029d914964161887fa5886d742bf1
Publikováno v:
Axioms
Volume 10
Issue 2
Axioms, Vol 10, Iss 114, p 114 (2021)
Volume 10
Issue 2
Axioms, Vol 10, Iss 114, p 114 (2021)
This work proposes an interval-based uncertain Susceptible–Infected–Recovered (SIR) epidemic model. The interval model has been numerically solved by the homotopy analysis method (HAM). The SIR epidemic model is proposed and solved under differen
Autor:
Radovan Potucek
Publikováno v:
2017 International Conference on Military Technologies (ICMT).
The jeep problem is a well known logistics problem. A jeep must cross a desert wider than it can travel on one tank of fuel with the help of optimal arrangement of fuel dumps along the route. The available resources refer, especially, to solutions of
Autor:
Radovan Potůček
Publikováno v:
Mathematics in Education, Research and Applications, Vol 6, Iss 1, Pp 10-17 (2020)
This paper deals with the sum of a special telescoping series and is a free follow-up to author’s preceding paper. The terms of this series are reciprocals of the cubic polynomial with three different negative integer roots. The main result of the
Externí odkaz:
https://doaj.org/article/4bda0af27f3e453cb931627e0aec2315