Pregled bibliografske jedinice broj: 1101713
On intersections of the exponential and logarithmic curves
On intersections of the exponential and logarithmic curves // 2018 International Conference on Topology and its Applications - Book of abstracts
Náfpaktos, Grčka, 2018. str. 111-111 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1101713 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On intersections of the exponential and logarithmic curves
Autori
Koceić Bilan, Nikola ; Jelić, Ivan
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
2018 International Conference on Topology and its Applications - Book of abstracts
/ - , 2018, 111-111
Skup
International Conference on Topology and its Applications 2018
Mjesto i datum
Náfpaktos, Grčka, 07.07.2018. - 11.07.2018
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
exponential function ; inflection ; stationary point ; homeomorphism
Sažetak
We consider the curves y=a^x and y= log_a(x) and their intersecting points for various bases a. Although this problem belongs to the elementary calculus, it turns out that the problem of determining number of these points, for a∈〈0, 1〉, is overlooked, so far. We prove that this number can be 0, 1, 2 or, even, 3, depending on the base a.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Split